Assessment 1 Name Whole numbers

154 © Blake Publishing — Australian Curriculum Targeting Maths Teaching Guide 6

Name

Self Assessment

Score Basic Sound HighACMNA124 Number and place value • Investigate everyday situations that use integers. Locate and represent these numbers on a number line.

Assessment 1

Whole numbers1 In the numeral 49 275 314, which digit

a is in the ten thousands place?

b has a value of 300?

c is worth 10 000 000 times the ones digit?

d will change if a million is subtracted?

2 In which place is the zero in each of the following numerals?

a 36 078 525 b 708 954

c 1 247 098 d 20 546

3 Round off to millions.

a 78 746 275 b 13 274 006

c 6 095 000 d 762 938

4 Join matching numbers.

a 6 946 275 roughly six and a half million

b 68 000 000 roughly seven million

c 65 807 000 about sixty-six million

d 6 580 000 six hundred and six million six hundred

e 606 000 600 sixty-eight million

5 Use the number line to draw a diagram to solve these problems.

-5 -4 -3 -2 -1 0 1 2 3 4 5

a Bob started his day 5 minutes ahead of schedule, but lost 8 minutes finding his shoes.

How far behind schedule is he now? _______________________

b I owed Sasha $3 and paid her $7. How much credit do I have now? _______________

155© Blake Publishing — Australian Curriculum Targeting Maths Teaching Guide 6

Name

Self Assessment

Score Basic Sound HighACMNA123 & ACMNA124 Number and place value • Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers. • Investigate everyday situations that use integers.

Addition and subtractionAssessment 2

1 Circle the greatest number of different items you could buy with $20.

Scissors-$3.95 Set squares (2)-80c

Notepaper-$4.50 Ruler-$1.50

Compasses-$3.50 Tape-$1.85

Calculator-$8.75 Pen-$1.95

3 Complete these number patterns.

a 160, 195, , , b 525, 495, , , c 85, 109, , , d 609, 562, , ,

4 Calculate the bill for the four children at Sarah’s birthday party.

a Jess: Chicken sandwich, Orange drink, Sundae. +

b Lina: Perfect Pasta, Coke, Sundae. +

c Nyree: Chicken nuggets, Chips, Orange drink, Sundae. +

d Lara: Salad, Chips, Coke, Sundae. +

e Total bill +

f Birthday cake +

g Grand total

~ Menu ~Chicken sandwich $ 8.75Chicken nuggets $ 5.80Chips

$ 2.30Salad $ 5.40Perfect Pasta $ 6.75Coke

$ 2.50Orange drink $ 2.25Sundae $ 4.00BIRTHDAY CAKE $18.50

113 84

33

74

3531

47

82

2 Read the map—fill in the travel log.

a Coffs Harbour to Casino via Grafton.

km + km = km

b Coffs Harbour to Ballina via Maclean.

km + km + km = km

c Tweed Heads to Maclean via Byron Bay.

km + km + km = km

d Grafton to Byron Bay via Ballina.

km + km + km = km


Name

1 Write the numbers which are:

a divisible by 3. 17, 51, 67, 84, 256, 372

b divisible by 5. 18, 45, 60, 185, 162, 400

c divisible by 6. 32, 78, 92, 175, 486, 306

d divisible by 8. 54, 72, 96, 176, 244, 205

e divisible by 9. 56, 63, 89, 108, 234, 378

2 Give two factors for each number. eg 20 π 6 = 120

a 240 b 120 c 54

d 45 e 305 f 81

3 Calculate the costs.

a biscuits b ice-creams c chips

6 at 45c each 5 at $1.80 each 8 packets at 95c each

4 Share the costs.a Five boys share the costs of $35.90 for magazines. They spend each.

b Three mothers share the $57 for petrol for a trip. They spend each.

c Six girls are given 174 stickers to share. They get each.

d A school raises $516 for four charities. Each charity gets .

e 7 books cost $80.50. Each book costs .

5 Write remainders as fractions.

a 8 275 b 7 234 c 9 530 d 6 599

Self Assessment

Score Basic Sound HighACMNA123 Number and place value • Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers. ACMNA129 Fractions and decimals • Multiply decimals by whole numbers and perform divisions by non-zero whole numbers, where the results are terminating decimals, with and without digital technologies.

Multiplication and divisionAssessment 3


Name

Problem solving

Self Assessment


Assessment 4

4 Calculate the profit or loss made by each dealer.

a Paid $5350 b Bought for $7080 c Paid out $4750

Spent $2000 Spent $3600 Spent $1350

Sold for $6900 Sold for $10 350 Sold for $7000

Loss = ____________ Loss = _____________ Profit = ______________

1 Average the following batting scores for the Whackeroos Cricket Team.

Grenville 42 36 19 25 108 Average

Masters 12 62 0 15 56 Average

Nboti 16 43 19 6 66 Average

Trenorovic 16 79 34 13 48 Average

2 Calculate the following products.

a 741 b 809 c 355 d 270

π 27 π 55 π 78 π 89

3 Work backwards to determine how much each child brought for the charity collection.

Twins Shane and Shana brought in the same amount which was $2 less than Fiona. Jill brought in $1 more than half of the amount Vera brought in. Failing to beat Vera by 30c, Tom was disappointed and wanted to bring more the next day. Yung was quite happy with his total which was $2 less than Tom. Fiona brought 70c more than Yung. Vera brought in the most with $9.80 and won the award.

Vera Tom Jill Yung Fiona Shane Shana


Name

c 4.68π 7

Self Assessment

Score Basic Sound HighACMNA128, ACMNA129 & ACMNA130 Fractions and decimals • Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers. • Multiply decimals by whole numbers and perform divisions by non-zero whole numbers, where the results are terminating decimals, with and without digital technologies. • Multiply and divide decimals by powers of 10.

Assessment 5

Decimals1 Write the following decimal numbers.

ones • tenths hundredths thousandths

a three and fifty-four hundredths

b twelve and five hundred and two thousandths

c five and thirty-two thousandths

d nine and nineteen hundredths

e six and seven thousandths

f Total these numbers.

2 What is the place value of:

a the 3 in 13.478? b the 4 in 28.498? c the 8 in 36.782? d the 6 in 20.69?

3 Place these decimals in ascending order.

a 0.64, 0.32, 0.73, 0.81, 0.03 , , , , b 2.5, 2.65, 2.8, 2.48, 2.69 , , , , c 3.4, 3.14, 3.41, 4.3, 4.14 , , , ,

4 Round the following decimals to one decimal place.

a 0.645 b 7.08 c 2.538 d 14.783

5 a 3.4 + 4.7 + 6.0 + 3.6 =

d 11.5 – 3.7 =

e 6.392– 3.536 f 7 4.83

6 Mia’s jumps in the long jump final were 4.35 m, 4.54 m, 4.29 m and 4.46 m.

a What is her best jump?

b By how much does it beat the previous record of 4.49 m?

b 0.460.50.930.08


NameFractions, decimals and percentagesAssessment 6

Self Assessment

Score Basic Sound HighACMNA125 & ACMNA131 Fractions and decimals • Compare fractions with related denominators and locate and represent them on a number line. • Make connections between equivalent fractions, decimals and percentages.

1 Show equivalent fractions by dividing the shape and colouring the correct number of pieces.

a !2 = $8 b !2 = 1̂2

c !4 = @8 d !4 = #12 e $5 = *0

2 Complete this table of fractions, decimals and percentages.

Common Hundredths or Fraction Thousandths Decimal Percentage

a !2 b !4 c 750Ω d 80%

e 0·9

f !8

3 Place the following in ascending order.

0.3, 40%, 0.7, !0, 80%, (0, 20%, 1.0, 50%, #5

4 a %6 – !6 = b #5 + !5 = c &8 – #8 =

d 1 – #8 = e &12 – !6 = f %8 + !4 =


Name

1 a Plot this pattern on the number plane. (1, 2) (2, 4) (3, 3) (4, 2) (5, 6) (6, 5) (7, 4) Join the points. b Highlight the x axis in red. c Highlight the y axis in green. d Which quadrant of the Cartesian plane is being used here? ___________ e What is the location of the letter A? ________ f What is the location of the letter Q? ________

2 Read each story and write a table of values to match.

a Gerry bought 21 baby mice but 1 escaped. Each day, one more escaped than the day before. How many days did it take for Gerry to lose all his mice? ______________________

Days 1 2

Mice 21 20 18

b When cycling across the country, a cyclist tired quickly and could ride less each day. On the first day he rode 125 km. Each day he rode 5 km less. How long had he been riding when he rode 100 km? ______________________

Days 1 2 3

Km 125 km

c When I buy my favourite magazine, I pay $10 for the first issue of the month and then $4 for the next three. What is the total cost of 6 of my favourite magazines? ____________________________________

Magazines 1 2 3 4 5 6

Cost $10

3 Write the inverse operation to solve each number sentence.a ★ + 17 = 24 b 18 + ■ = 30 _________________ ★ = ______ _________________ ■ = _______c 5 × ● = 45 d ▲ + ▲ + ▲ = 27 _________________ ● = ______ _________________ ▲ = ______

Assessment 7

Patterns and algebra

Self Assessment

Score Basic Sound HighACMNA123 Number and place value • Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers. ACMNA133 Patterns and algebra • Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence. ACMNA143 Location and transformation • Introduce the Cartesian coordinate system using all four quadrants.

y

7

6

5

4

3

2

1

0 1 2 3 4 5 6 7 x

Q

A


Name

Self Assessment

Score Basic Sound HighACMMG137 & ACMMG139 Using units of measurement • Solve problems involving the comparison of lengths and area using appropriate units. • Interpret and use timetables.

MeasurementAssessment 8

1 How many kilometres?a 2500 m b 3600 m c 1800 m d 6450 m e 900 m f 2060 m g 750 m h 10 100 m

2 How many metres?a 3.2 km b 1.6 km c 0.8 km d 5 km e 2.75 km f 9.05 km g 20.4 km h 0.3 km

3 Complete this table of rectangles.

Length Width Perimeter

a 50 m 30 m

b 10 km 2 km

c 25 cm 15 cm

4 Arrange the following in size according to area and perimeter.

Key = 1 cm

A

B C

5 a Use cubic centimetres to build two rectangular prisms with a volume of 40 cm3.

b Record their dimensions here.

6 Rewrite this plane departure timetable in 24-hour time.Departures am/pm Notation 24-hour Time NotationFlight 149 LAX QANTAS 5:45 PM

Flight 72 SAN FRAN UNITED 8:27 PM

Flight 222 LAX UNITED 6:15 AM

Area Perimeter

Largest

Smallest

Length Width Height Volume

ab


Name

Measurement

Self Assessment

Score Basic Sound HighACMMG137 & ACMMG139 Using units of measurement • Solve problems involving the comparison of lengths and area using appropriate units. • Interpret and use timetables.

Assessment 8

7 Trace this shape and cut it from spare paper. Rearrange it to make a rectangle with a perimeter of 19 cm.

a Paste the rearranged rectangle on this page.b Label the dimensions of the new rectangle.

8 Refer to the flight schedule in Q6.

a Mr Henry arrives at the airport at 16:38. How long does he have to wait for Flight 149 to depart? ___________________

b Josie misses Flight 72 by 45 minutes. What time did she get to the airport?___________________

c Flight 222 returns to the terminal after a staff problem and then departs at 07:12. How late will it be arriving at its destination if it maintains its original flight time?

___________________

9 a Using a scale of 1 cm = 5 m, draw a rectangle 50 m long and 15 m wide.

b If this rectangle was a rectangular prism 2 m deep, what would be its volume? ____________

10 a Label the dimensions b How many of these cubes will fit in a box of a 125 cm³ cube. 25 cm long × 20 cm wide × 20 cm deep?

____________________


Name

Self Assessment

Score Basic Sound HighACMMG141 Geometric reasoning • Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles.

AnglesAssessment 9

1 Measure the following angles.

a b

2 Draw angles of the given size.

a 80º b 45º

3 Label the following angles acute, obtuse, reflex, straight or right angles.

a b c

d e f


Name

Angles

Self Assessment

Score Basic Sound HighACMMG141 Geometric reasoning • Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles.

Assessment 9

4 Mark the vertically opposite angles with matching symbols.

a b

5 Mark the adjacent angles with a matching symbol.

a b

6 Estimate the size of these angles.

a _________ b _________

7 Answer true or false.

a A revolution can be 300°. _________________

b Two adjacent angles total 180°. _________________

c 4 right angles equal a revolution. _________________

d Vertically opposite angles must be right angles. _________________

e Two acute angles can make a right angle. _________________

C

A

B

L

N

O

M

D

E H

I

G

E

E Y


Name

Self Assessment

Score Basic Sound HighACMMG137 Using units of measurement • Solve problems involving the comparison of lengths and area using appropriate units. ACMMG141 Geometric reasoning • Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles.

Shape1 Using the baselines given, draw:

a a square using a protractor and ruler. b an equilateral triangle using a protractor and a ruler.

2 Name the type of triangle and give the size of each missing angle.

a b

c d

3 Name these shapes.

a Three sides equal, three angles equal, three axes of symmetry. __________________________________

b Four sides equal, four angles equal, four axes of symmetry. ______________________________________

c Six sides equal, six angles equal, six axes of symmetry. __________________________________________

Assessment 10

70º

60º

70º

35º 30º

35º

90º


Name

Self Assessment

Score Basic Sound HighACMSP147 & ACMSP148 Data representation and interpretation • Interpret and compare a range of data displays, including side-by-side column graphs for categorical variables. • Interpret secondary data presented in digital media and elsewhere.

Data1 Study the two way tables. Tick the best answer. Hint: There may be more than one.

2 Make a side by side column graph for the information in Q1.

Goals

Tries

Wins

Losses

1 2 3 4 5 6 7 8 9 10

3 Explain why this graph is misleading.

____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________

Assessment 11

House prices slump

a What information is not included in any of these tables?

• where the Red Rockets play• the age of players in the teams• the results the teams have had• the scores in all games

b Which statement is true?

• There are more players in the Red Rockets team.

• They have played 7 games. • The Blue Jets have older players.• Jay McCann coaches the Red Rockets.

Key:

Red rockets

Blue jets

Red Rockets Blue JetsGoals 7 7

Tries 9 8

Red Rockets Blue JetsWins 3 4

Losses 4 3

Red Rockets Blue JetsAged 7 yrs 9 8

Aged 8 yrs 5 6

Red Rockets Blue JetsCoach McCann Blagger

Captain Jay Damon


Name

Interesting numbers

Self Assessment

Score Basic Sound HighACMNA122 Number and place value • Identify and describe properties of prime, composite, square and triangular numbers.

1 a 9 × 9 = _______ b 10² + 3² = _______ c 7² – 3 squared =______

d 5 × 5 × 5 = ______ e 4³ = _______ f 2³ + 3³ = ______

2 Write the composite numbers which are multiples of:

a 7, less than 30 ____________________________ b 6, less than 40 ____________________________

c 11, less than 50 ____________________________ d 20, less than 100 ____________________________

3 Write the prime numbers:

a between 3 × 4 and 3 × 8 ___________________ b between 2 × 12 and 3 × 12 __________________

c between 5 × 6 and 6 × 6 ___________________ d between 15 × 3 and 20 × 3 __________________

4 Place the numbers between 80 and 100 in the following table.

Triangular numbers Prime numbers Square numbers Multiples of 12

5 Show that 21 is a triangular number 6 Write the number sentence to find the next with a diagram. triangular number after 21.

______________________________

7 What are the dimensions of the largest cube you could build with 30 cm cube blocks?

______________________________

8 Fill in this diagram with numbers between 50 and 60.

Prime numbers Odd numbers

Assessment 12


Name

Multiplication and division

Self Assessment


1 Write each quotient.

a 3600 ÷ 6 b 42 000 ÷ 7 c 81 000 ÷ 9 d 3500 ÷ 5

360 ÷ 6 4200 ÷ 7 810 ÷ 9 35 000 ÷ 5

2 a 5 5025 b 4 8284 c 7 7357 d 6 7254

3 a $3.06 b 60.9 c $9.02 d 40.8 π 7 π 5 π 8 π 9

4 a 8 9047 b 7 8406 c 5 7014 d 3 1513

5 a $80.20 b $30.78 c $56.70 d $16.05 π 36 π 45 π 28 π 19

6 Find the cost of:

a 5 books at $3.40 and 20 stickers at 25c each. b 15 lengths of ribbon at $2.05 per length. c 27 seedlings at $0.35 each.

7 a 5621 km in a week. How many km in a day?

b 40 025 books processed in 5 days. How many each day? c $3618 for 6 months rent. How much per month? d $8416 earned by 8 students working together. What is each one’s share? e 1200 buttons to be put in packs of 6. How many packs?

Working

Assessment 13


Name

Self Assessment

Score Basic Sound HighACMNA134 Patterns and algebra • Explore the use of brackets and order of operations to write number sentences.

Order of operationsAssessment 14

1 a 4 + 5 × 6 = ______ b 7 × 5 – 10 = _______ c 15 × 5 – 3 × 5 = _______

d 20 × 6 + 3 × 11 = _______ e 50 – 6 × 2 = ______ f 10² – 7 × 4 = ______

2 a 8 × (4 + 5) = ______ b (16 + 4) × 6 = ______ c (3 + 17) × 3 = _______

d 6 × (3 + 2) = ______ e 65 ÷ 5 + 7 = _______ f 4 × (20 – 6) = ______

3 Complete the following equations.

a 7 π 3 + 3 π 3 = _______ b (15 – 8) π (14 – 6) = _______

c 45 – (7 + 8) π 2 = _______ d 92 – 3 π 4 + 10 = _______

e 50 – 43 + (5 π 2 – 6) = _______ f 100 π (22 + 15) = _______

4 Write a number sentence to solve each of the following:

a Jane picked three 12·5 kg buckets of apricots and three 15 kg buckets of peaches.

How much fruit did she pick? ____________________________________

b On each of 7 days the postie delivered 125 letters and on each of the following 3 days he delivered 106 letters.

How many letters did he deliver altogether? _______________________________

5 Show where the grouping symbols go to make each number sentence true.

a 5 × 25 – 6 – 12 ÷ 4 = 92 b 7 + 6 + 3 – 4 × 10 = 120

c 12 + 11 × 4 × 2 – 6 = 94 d 7² – 15 × 5 ÷ 2 = 85

6 Add grouping symbols to make these true.

a 8 π 7 + 3 – 5 = 3 π 17 + 8 b 46 – 16 π 2 ÷ 4 = 95 – 5 ÷ 3 + 4 π 2

7 Use the digits 1, 2, 3, and 4 and two sets of brackets to make a number sentence to equal 21.

_____________________________________

170

Name

© Blake Publishing — Australian Curriculum Targeting Maths Teaching Guide 6

Add and subtract fractions

Self Assessment

Score Basic Sound HighACMNA125, ACMNA126 & ACMNA131 Fractions and decimals • Compare fractions with related denominators and locate and represent them on a number line. • Solve problems involving addition and subtraction of fractions with the same or related denominators. • Make connections between equiva-lent fractions, decimals and percentages.

1 What equivalent fractions are shown by each diagram?

a b

c d

2 Complete each set of equivalent fractions.

a !2= # = 0 = ^ = 2Ω b !3 = 12 = #

c #4 = 2Ω = 0Ω d $5 = 0 = !̂ = 0Ω

3 Add and use equivalent fractions to write the answer in lowest terms.

a !8 + #8 = b !6 + #6 = c #12+ %12 = d %8+ !8 =

4 Colour each fraction a different colour on the bar to show the answer.

a #4+!8=_________________ b !3+!6=_________________

c !4+%12=_________________ d #8+!2=_________________

Assessment 15


Name

Self Assessment

Score Basic Sound HighACMNA127 Fractions and decimals • Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies.

Multiply fractionsAssessment 16

1 Use these diagrams to show the value of each amount.

a b

!5of 45 !6 of 30

c d

!8 of 24 !4 of 60

2 a !6 π 54 = b !8 π 16 = c !0 of 120 = d !3 π 33 =

e !5 of 25 = f !4 of 24 = g !4 of 48 = h !7 of 77 =

3 a !5 π 55 + 7 = b !6 π $3.00 = c 12 π !4 + 4 = d 9 π !3 + 9 =

e !2 π 28 – 10 = f !0 π 40 + 7 = g 16 π !8 – 2 = h 8 π !2 + !4 π 8 =

4 Convert these improper fractions to mixed numbers.

a !@5 = b !#8 = c !!4 = d %2 =

e &3 = f #$0 = g !!8 = h @$7 =

5 Convert to improper fractions.

a 2!3 = b 6!4 = c 5#8 = d 4%9 =

e 7!2 = f 6@3 = g 2&0 = h 5@5 =

6 Multiply.

a !5 π 8 = b !8 π 9 = c 14 π !6 = d 10 π !3 =

e !4 π 7 = f !0 π 16 = g 15 π !3 = h !8 π 25 =

7 Five children each ate !3 of an apple pie. How many pies did they eat altogether?

8 Mrs Doogood cut her cakes into fifths and gave 13 pieces to the neighbourhood ladies. How many cakes did she use?

9 One sixth of a metre of ribbon is used to tie a package. How much ribbon will be needed for 10 packages?


Name

Self Assessment

Score Basic Sound HighACMNA131 Fractions and decimals • Make connections between equivalent fractions, decimals and percentages. ACMNA132 Money and financial mathematics • Investigate and calculate percentage discounts of 10%, 25%, 50% on sale items, with and without digital technologies.

PercentagesAssessment 17

$40

$55

$35.00$60

$25

1 Shade the given percentage of these objects.

a 25% b 30% c 75% d 20%

2 Calculate the following:

a 10% of 60 = b 25% of 64 =

c 5% of 80 = d 50% of 75 =

3 Circle the larger.

a 25% of 24 or 0.2 of 20 b !3 of 48 or 20% of 60

c 10% of 50 or 50% of 20 d 75% of 36 or !3 of 45

4 What price do I pay for each item on my shopping list if I get a 20% discount?

List Cost

belt

shoes

hat

sunglasses

wallet

5 What will be the price of these goods after 10% GST is added?a CDs $20 b Books $15

c Jeans $60 d Sneakers $84


Name

Self Assessment

Score Basic Sound HighACMNA133 Patterns and algebra • Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence. ACMMG143 Location and transformation • Introduce the Cartesian coordinate system using all four quadrants.

Patterns and algebraAssessment 18

1 Plot the following points on the Cartesian plane. Join the points for each set in order.

a (-1, 4), (-3, 4), (-3, 1), (-1, 1)

b (0, 4), (1, 1), (2, 4), (3, 1), (4, 4)

c (-4, -1), (-3, -3), (2, -3), (3, -1), (-4, -1)

2 What letter did you draw:

in a?_______________

in b? _______________

3 What shape did you draw in c?

____________________

4 Write the ordered pair for:

a the letter B. _________

b the letter Z. _________

5 Describe these patterns.

a X Y b 1st 2nd c M N 2 9 5 25 36 6 3 10 7 35 25 5 4 11 12 60 - 4 5 - 8 - - 3 6 - 15 - - 2 10 - 10 - - 1

a b c a Rule b Rule c Rule

6 Write the equation to find the mystery numbers. a 125 less than my number is 500. What is my number? b My number is !2 of 54 minus 6. c Multiply my number by 3 and you have 240. d Square my number and add two to get 38.

y

x

B

Z


Name

Area

Self Assessment

Score Basic Sound HighACMMG137 Using units of measurement • Solve problems involving the comparison of lengths and areas using appropriate units.

Assessment 19

1 What is the area of each shape? Use the correct unit of area.

a b c

_________________ _________________ _________________d e

_________________ _________________

2 Which unit of measurement is used for each space? Record them correctly in the table.

Royal National Park a large parking lot a living room floor covering Tasmania

local playing fields a patio Main Street Park Wallenbang Shire

a lawn an orchard a basketball court Hunter Valley

3 One hectare, in the shape of a square measures 100 m π 100 m. What are two other measurements for one hectare?

a _______________ b _______________

4 True or false? A square kilometre: a is always square shaped. _______________ b always has a perimeter of 4 kilometres. _______________

6 m

10 m

12 m

15 m

200 m

600 m

15 cm

15 cm

30 cm

8 cm

m²

hectares (ha)

km²


Name

Volume and capacity

Self Assessment

Score Basic Sound HighACMMG138 Using units of measurement • Connect volume and capacity and their units of measurement.

Assessment 20

1 What is the volume of objects with the following dimensions? Use the correct units of measurement.

a 3 cm wide × 4 cm high × 2 cm long = _________________

b 6 m wide × 2 m high × 3 m long = _________________

c 10 cm wide × 10 cm high × 3 cm long = ____________________

d 12 m wide × 2 m high × 1 m long = ____________________

2 What is the volume of objects which displace the following amounts of water when submerged?

a a cube, 350 mL b a toy car, 480 mL c shorts, 15 mL d 10 marbles, 65 mL

V = __________ V = __________ V = __________ V = __________

3 How much water would be displaced by these objects, made of centicubes.

a _______________ b _______________ c _______________ d _______________

4 What is the mass of:a 1 litre of water? b 1 450 mL of water? c 965 mL of water? d 2.8 L of water?

________________ ________________ ________________ ________________

5 Complete:

a 345 mL of water has a mass of ________________ and volume of ________________ .

b 1.4 L of water has a mass of ________________ and a volume of ________________ .

c ________________ water weighs 2 kg and has a volume of ________________ .

d ________________ water weighs 1250 grams and has a volume of ________________ .


Name

Self Assessment

Score Basic Sound HighACMMG139 Using units of measurement • Interpret and use timetables.

TimeAssessment 21

1 Answer these questions about the Zeeban Town Hall from the timeline.

a In what year was the foundation stone laid? ________________

b How many years after the fire were the repairs completed? ________________

c When was the roof renewed? ________________

d How old is the building this year? ________________

e For how long was Mayor Zeeble in office? ________________

f Painting took place in 1995. Place this on the timeline.

1972 1976 1980 1984 1988 1992 1996 2000

2 Construct a timeline to illustrate the following events in the life of a town.

In 1965 Farro Local Council was inaugurated and the town began to grow. After two years the population reached 10 000 and residents were proud of the progress. A high school was opened in 1978, a hospital in 1967 and a TAFE College in 1982.

Twenty years after the Council first sat, Farro suffered severe water shortages. The parks looked dry for 2 years but then they began to blossom when good rains came. Farro has been growing ever since and by 2000 was thriving and enjoying a big Arts Centre, opened in 1995.

1965 2000

Foun

datio

n

cerem

ony

Mayo

r Zee

ble

swor

n in

Major

fire

Fire da

mage

repair

ed

Mayo

r Jud

d

swor

n in

New

roof

Farro Local Cou

ncil ina

ugurated


Name

Self Assessment

Score Basic Sound HighACMMG136 Using units of measurement • Convert between common metric units of length, mass and capacity. ACMMG143 Locations and transformation • Introduce the Cartesian coordinate system using all four quadrants.

LocationAssessment 22

1 Follow the directions and label features accordingly.

a Stanley – 44 km S of Mt Topps. b Neville – 42 km NE of Gipps.

c Troy – 100 km NW of Stanley. d Davey – 60 km N of Gryn.

e Bower is 85 km E of Harvey. f Lake Bow – 40 km SW of Gryn.

2 a Give the coordinates for: Bower _______________ Gryn _______________ Davey ________________b What will you find at D2? __________________________________________________________________

3 This is the plan for a new picnic area. Draw it accurately using a scale of 1 cm = 1 m.

3 m

9 m

2 m

7 m1 m

2 m

5 m

Scale 1 cm = 20 km

1

2

3

4

Mt Topps

Gipps

AlbertBower

Gryn

Lakeland

A B C D E F G


Name

Self Assessment

Score Basic Sound HighACMSP144, ACMSP145 & ACMSP146 Chance • Describe probabilities using fractions, decimals and percentages. • Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies. • Compare observed frequencies across experiments with expected frequencies.

Chance1 Study the record of rainy days and dry days recorded by Yr 1 at Wirriwong School in May.

MAY WEATHER RECORD

1 dry 2 dry 3 dry 4 rain 5 rain 6 dry 7 rain8 dry 9 dry 10 rain 11 dry 12 dry 13 rain 14 rain15 dry 16 dry 17 rain 18 rain 19 dry 20 dry 21 dry22 dry 23 rain 24 dry 25 rain 26 rain 27 dry 28 dry29 rain 30 dry 31 dry

a Make a frequency chart for this information.

May Tally Frequency

Dry days

Rainy days

Why or why not? __________________________________________________________________

d Compare the May frequency table with one for April. Which month was more rainy? __________

April FrequencyDry days 20Rainy days 10

f Which one of these sets of information would most help you predict the weather for days in the coming June? Mark one. Explain your choice.

Table of weather each day for all 12 months.

Table of weather each day for last June.

Table of weather each day for last winter.

Table of weather each day for next June. ___________________________________________________________________________

2 Using percentage, what is the probability of:

a the 1st June being either dry or rainy? _____________

b taking a red marble from a bag containing only red marbles? _____________

c blindfolded, picking up a blue book from 1 red, 1 blue, 1 green, 1 pink book? ________

d finding a black sock in a drawer of green and red socks? ____________

e buying 10 raffle tickets out of 100 tickets and winning the raffle? _____________

Assessment 23

e Can you predict the type of days for June now? _________ Why or why not? _________________________________

b What type of day occurs with the greatest frequency? _____________

c Can you predict the type of days for June? ___________


Name

1 True/False

a Numbers of boys and girls increase at the same rate. ______

b Numbers of boys increases steadily. ______

c The total of girls is more than the total of boys. ______

d There are 67 children in the pre-school. ______

2 Which reports accurately describe this graph? Mark them.

Girls and boys attend Bakerville Pre-school in equal numbers. Girls don’t like going to pre-school. Boys like going to pre-school. Attendance at this pre-school increases with the children’s age. Boys and girls are together at pre-school. Parents like sending boys to pre-school more than girls. Boys get sent to preschool to learn faster.

3 Draw a two column graph for the following information.

Self Assessment

Score Basic Sound HighACMSP148 Data representation and interpretation • Interpret secondary data presented in digital media and elsewhere.

DataAssessment 24

3 yo 4 yo 5 yo

14

12

10

8

6

4

2

0

Gender - Bakerville Pre-school Boys Girls

Number of animals on Fred’s farm Pigs Cows

2010 25 30

2011 20 35

2012 20 40

2013 25 35


Name

Self Assessment

Score Basic Sound HighACMNA124 Number and place value • Investigate everyday situations that use integers. Locate and represent these numbers on a number line.

IntegersAssessment 25

1 Complete:

a Negative numbers are those _______________ zero.

b Positive numbers are those ________________ zero.

2 Write all the numbers between -8 and +10 on the number line.

3 Place the following on the number line.

a –100 b –250 c +50 d +300 e 0

4 What happens if I subtract a large number from a smaller number? _____________________________

____________________________________________________________________________________

5 What is the difference between:

a –100 and 0? ___________ b 250 and –100? _____________

c 300 and –100? ___________ d –250 and 50? _____________

6 The temperature at 10 am was – 8°C and by lunch time it was – 2°C.

a Had it risen or fallen? ______ b By how many degrees? ___________

7 The surface of Lake Eyre is 15 m below sea level at its lowest. How many metres do we climb to reach a high point of 85 m above sea level? ________________

8 At the start of the athletics season, Guy’s sprint time for the 100 m was 2 seconds outside the record. After a season of hard training he broke this record by 0.5 of a second. By how much had he improved? __________________

9 The temperature on the bench in my kitchen is 25°C. The temperature in the refrigerator freezer is – 12°C. How much colder is the freezer than the bench? ___________________

10 Jessie dived to a depth of 17 metres. She rose 5 metres, but decided to go back down 10 metres to investigate some sea animals. How far was she below sea level now? __________________

11 If you entered 28 into your calculator and subtracted 3 eleven times, what will the calculator show? _________________

–400

–10 0 10

400


Name

Money

Self Assessment

Score Basic Sound HighACMNA128 & ACMNA129 Fractions and decimals • Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers. • Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies.

Assessment 26

1 Calculate the balance after each transaction.

Debits Credits Balance

Deposit $1000 a ______________________

Withdraw $165.50 b ______________________

Pay out $279.95 c ______________________

Deposit $500 d ______________________

Withdraw $144 e ______________________

Withdraw $48.35 f ______________________

Fees paid $12 g ______________________

Deposit $358.25 h ______________________

2 a What is the total of credits in this account? ______________________

b What is the total of debits? ______________________

3 Use a calculator. Find the value of these prices in the various foreign currencies.

4 a Jade took a holiday to the UK and changed her Australian dollars when she arrived in London. The exchange rate was AUD$1 = £0.52. She exchanged AUD$1000.

What did she get in British pounds? ___________________

b When she left London 6 months later the exchange rate was £1 = $0.85.

If she wanted AUD$1000, how many British pounds would that cost? ________________

Exchange Rates

AUS $1 =

$0.63 USA (dollars)

$0.88 Canadian (dollars)

£0.39 UK (pounds)

Y71.4 Japanese (Yen)

$1.18 New Zealand (dollars)

Aust. Foreign Amount Currency Amount

$3.50 Canadian

$80 Japanese

$550 New Zealand

$160 United Kingdom

a

b

c

d


Name

Division

Self Assessment

Score Basic Sound HighACMNA122 & ACMNA130 Number and place value • Identify and describe properties of prime, composite, square and triangular numbers. • Multiply and divide decimals by powers of 10. ACMNA125, ACMNA128 & ACMNA129 Fractions and decimals • Compare fractions with related denominators and locate and represent them on a number line. • Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers. • Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies. ACMMG135 Using units of measurement • Connect decimal representations to the metric system.

Assessment 27

1 Sort these numbers into groups according to their divisibility. Some may belong to more than one group.

95, 99, 124, 136, 140, 155, 168, 171, 195

a Divisible by 3 b Divisible by 4 c Divisible by 5

2 a 1 0 2 4 6 8 0 b 1 0 3 5 8 5 0

c 1 0 7 5 6 0 4 0 d 1 0 4 6 0 0 7 0

e 1 0 4 5 8 0 6 f 1 0 6 0 0 5 9

g 1 0 9 0 0 6 3 2 h 1 0 1 2 3 8 0 0

3 What is the highest common factor of:

a 16 and 24? ___________ b 6 and 15? _________ c 15 and 30? _________

d 10 and 25? ___________ e 9 and 21? _________ f 4 and 18? _________

4 What is the 10% GST on a new boat of $857 920? ______________________

5 Jack now earns $235 000 each year, which is ten times his first salary.

What was his first salary? ______________________

6 Find !0 of each.a $7940 ______ b 23 680 ______ c 459 060 ______d $112.50 ______ e 14 010 ______ f $90.70 ______

7 a 4 0 4 5 8 0 0 b 5 0 6 0 0 5 0 c 3 0 9 0 0 6 3 0 d 2 0 1 2 3 8 0 0


Name

Operations with money

Self Assessment


Assessment 28

1 Bliss Blob Lolly Boms cost 15 c each. Horrie Hobs cost 25 c each. I spent $10 on a mixed bag for my party. How many of each did I buy?

2 Helen paid for a $48 DVD set with coins she had saved. She used only $2 and $1 coins and noticed she was able to pay using the same number of each coin. How many $1 coins did she use to pay for her picture frame?

3 Below is Lizzie’s Bank Statement for December, complete the Balance column.

Date Transaction description

Debit withdrawals Credit deposits Balance

985.42

11/12/2013 Gilbert’s Garage – 300.62

15/12/2013 Cheque #865 432 + 453.20

21/12/2013 Rent – 527.43

23/12/2013 CSA payroll +1756.32

27/12/2013 Tsang Bar and Grill – 70.56

31/12/2013 Penni’s Party Hire – 156.89

31/12/2013 Interest + 6.52

4 Daisy, Henry and Will each have an amount of money in their bank accounts. Henry has twice as much as Daisy, and Will has three times as much as Daisy. They have $72 between them. How much money does Stephen have in his account?


Name

Self Assessment

Score Basic Sound HighACMMG136 Using units of measurement • Convert between common metric units of length, mass and capacity. ACMNA128, ACMNA130 & ACMNA131 Fractions and decimals • Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasona-bleness of answers. • Multiply and divide decimals by powers of 10. • Make connections between equivalent fractions, decimals and percentages.

DecimalsAssessment 29

1 Write as decimals.

a 27 100 _______ b

2 100 _______ c

375 1000 _______ d

76 100 _______

e 2559 1000 _______ f

5035 1000 _______ g

602 100 _______ h

13225 1000 _______

2 Count on by hundredths.

a 0.25 ________ ________ ________ b 1.962 ________ ________ ________ c 3.489 ________ ________ ________

3 Write in decimal notation.

a 456 cm = _____________m b 12 679 m = _____________km c 30 455 g = _____________kg

4 a 7.88 b 4.937 c 4.806 d 11.536 – 3.6 – 1.8 – 2.754 – 4.87

5 a Minny was 1·25 m tall and grew 3 cm in the year. How many metres tall was she then? ________

b Brad weighed 45·6 kg and lost 800 g in Term 3. What did he weigh in kilograms? ________

6 Show working. a 4.71 – 2.56 b 16.5 – 12.64 c 42.3 – 7.94 ___________ _____________ _____________

___________ _____________ _____________

___________ _____________ _____________

7 On a summer day the temperature in Marble Bar hit 42.65ºC, before dropping 7.8ºC when a cool breeze arrived.

What was the temperature after the drop? ________________

8 Write a story for: 7.9 – 2.45. _________________________________________________________________

_______________________________________________________________________________________________

9 a 4653 ÷ 10 = _______________________ b 79 467 ÷ 10 = _______________________

c Divide 34.7 by 10. _______________________ d 34 678.2 ÷ 100 = _______________________


Name

Percentages

Self Assessment

Score Basic Sound HighACMNA131 Fractions and decimals • Make connections between equivalent fractions, decimals and percentages. ACMNA132 Money and financial mathematics • Investigate and calculate percentage discounts of 10%, 25%, 50% on sale items, with and without digital technologies.

Write the following fractions as percentages.

1 a 3 10 _________ b

15 100 _________ c

64 100 _________ d

7 100 _________

e 12 _________ f

14 _________ g

34 _________ h

15 _________

i 25 _________ j

35 _________ k

18 _________ l

1 20 _________

2 a 20% of 1 m = ______ b 25% of $1 = ______ c 10% of $1 = ______ d 28% of $1 = ______

3 a 20% of 50 = ______ b 10% of 150 = ______ c 25% of 40 = ______ d 75% of 20 = ______

4 On this number line, show Tam’s expense amounts for the month of July. The total of expenses is $1000.

Phone/Electricity 20%, Rent 30%, Food 20%, Clothing 10%, Entertainment 20%

I I I I I I I I I I I

5 Two hundred and fifty people, 10% of all travellers,chose bus travel. How many travellers were there? __________

6 60 boys, or 20% of all the boys turned out for Rugby.How many boys are in the school? __________

7 3 tortoises, 4 lizards and 2 snakes are in Jay’s mini zoo.If reptiles make up 25% of his total, how many animals are in Jay’s zoo? __________

8 a 30% of all money raised at the fete went to the Baby Hospital. If we sent a cheque for $150 to the hospital, how much money was raised altogether? __________

b How much money did we keep? __________

9 Entries for the marathon are coming in. Figures show that 25% have run marathons before, 30% have run only one marathon before, 15% have run a half marathon and the rest have not run a marathon before. There are 200 runners altogether. How many runners have never run a marathon before? ________________

Assessment 30

0 100%


Name

1 Complete this table.

2 Complete the rules in the first column.

3 Find the value of the LETTER in each set of equations.

Assessment 31

Patterns and algebra

Self Assessment

Score Basic Sound HighACMNA133 & ACMNA134 Patterns and algebra • Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence. • Explore the use of brackets and order of operations to write number sentences.

4 Fill in the table to help solve this problem.

At 12 noon a river was 2:45 m deep. Its depth increased 3 cm by 1 pm and one more cm each hour after that. What was its depth at 5 pm? _________________

Time 12 1 pm

Depth 2·45 m 2·48 m

5 Explain how you will solve these equations then find the answer.

a 12 + (5 π 6) + 18 = ________________________________________________________ _______________________________________________________ Answer _____________

b 8² + 4 π 5 = _______________________________________________________________ _______________________________________________________ Answer _____________

6 Write the equation for the following and work out the answer.

a To the product of 15 and 3 add the difference between 5 and 4. ___________________________________________________________________________b Multiply 20 by 3.5 and 10 by 4.2 and add the two answers.

___________________________________________________________________________

1 2 3 4 5 6 9

a 2 3 4 5 6 7

b 2 4 6 8 10

c 2 5 10 17 26

d 2 7 12 17 22

a 6.5 π 2 + 1.5 = H – 1 2 H = 10 π 3 + 1 H + 4.5 = 20 H =

b M × 3 – 6 = 39 #4 of 20 = M M = 2³ + 7 M =


Name

Self Assessment


Area of triangles and timeAssessment 32

1 a Explain how you will find the area of these triangles.

____________________________________________________________________________

Area ___________ Area ___________

b Draw the rectangles to which these triangles belong. Find the areas of the triangles.

2 Find the areas of these triangles by drawing the rectangles of which they are part. a b

Area ___________ Area ___________

3 Complete this table of times in Australian cities, not taking Daylight Saving into account.

Hobart Melbourne 1pm

Sydney Brisbane

3 am

Adelaide Darwin Perth

9 pm

A

14 cm

24 cm 24 m

26 m

B

60 m

40 m 40 cm

32 cm


Name

e 10 1 4 kg _____________ f 2 kg 200 g ___________ g 12 kg 650 g __________

4 Change to grams.a 3 kg _______ b 9 kg _______ c 28 kg _______ d 4

1 2 kg ________

Self Assessment

Score Basic Sound HighACMMG135 & ACMMG136 Using units of measurement • Connect decimal representation to the met-ric system. • Convert between common metric units of length, mass and capacity.

MassAssessment 33

2 Write 5 objects in each column.

a a pencil? ____d a pie? ____g a peg? ____

b your pencil case? ____e a full suitcase? ____h a box of popcorn? ____

c a pony? ____f a baby? ____i a lounge chair? ____

e 17 250 g _____________ f 25 750 g _____________ g 16 295 g _____________

3 Would you use g or kg to find the mass of:

a 5000 g _______ b 2000 g _______ c 43 000 g ______ d 1500 g _______5 Change to kilograms or kilograms and grams. Write the answers as decimals.

6 Estimate the mass of each.

Under 100 g About 500 g About 1 kg More than 10 kg

1 a Write the mass of each container in kilograms.A ___________ B ___________ C ___________ D ___________ E ___________

b Order the containers from lightest to heaviest.

____________________________________

c What is the total mass of the

containers? ___________

A 1200 g

B 8000 gC 2750 g

D 1160 g

E 1500 g

a b c d e


Name

1 Label the line in each diagram as an axis of symmetry or a diagonal.

a ________________ b ________________ c ________________ d ________________

2 a Here are two diagonals. b Here are the diagonals of a shape. Complete and name the shape Complete and name the shape.

_________________________ _________________________

3 Draw each folded and cut paper when it is unfolded.

a b

4 Tick the correct descriptions for each shape.

the diagonals are the same length the diagonals are the same length the diagonals are axes of symmetry the diagonals are axes of symmetry there are no diagonals there are no diagonals there are no axes of symmetry there are no axes of symmetry

Self Assessment

Score Basic Sound HighACMMG137 Using units of measurement • Solve problems involving the comparison of • lengths and areas using appropriate units. ACMMG142 Location and transformation • Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies.

Symmetry and transformationAssessment 34


Name

2 Complete:

a The angles of all triangles add to _________ . b The angles of all squares add to __________ .

c The angles of all quadrilaterals add to ________ .

3 Find the size of the missing angles.

a b c

4 Use this diagram to write an explanation to prove the sum of the angles of a quadrilateral.

_____________________________________________

_____________________________________________

_____________________________________________

80°

Shape

Self Assessment

Score Basic Sound HighACMMG137 Using units of measurement • Solve problems involving the comparison of lengths and areas using appropriate units. ACMMG141 Geometric reasoning • Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles.

Assessment 35

1 a Using a pair of compasses and a pencil draw a circle with a 2 cm radius, on this page.

b Label the circumference, radius, diameter, and a quadrant.

?

?

? ?

42° 100°110°

48°

80°


Name

Self Assessment

Score Basic Sound HighACMSP147 & ACMSP148 Data representation and interpretation • Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables. • Interpret secondary data presented in digital media and elsewhere.

DataAssessment 36

1 Study the information from the Ravers Library.

Books % of total

Fiction 22

Nonfiction 15

Reference 10

Picture 20

Easy Fiction 25

Classics 8

Library table

a How many books in the library? ________________b What percentage of the library’s books are some kind of fiction? _________________c Which shows the number of books in each category? Graph/Tabled Which shows most clearly that Nonfiction and Reference together

make up !4 of all books. Graph/Tablee Which is most useful to a librarian? Graph/Table Why? _______________________________________________________________________

2 Boot sizes – under 12s soccer team.

3 a This column graph represents the life span of a polar bear and a whale. Is the column graph misleading? ______ Why? _____________________________ __________________________________

Fict Nonfict

Ravers Library

Ref Pic Easy Fict

Classics

Num

ber

50100

150200250

300350400

450

500

Books

a How many children are in the soccer team? ________b Why is there no dot beside 7 !2?

____________________________________________c What percentage of the total team wear size 8

or 8 !2 boots? ____________d What would a sports uniform shop owner learn

from this graph? ____________________________________________

b This column graph represents the number of different types of bird species in a zoo.

Explain why the graph is misleading. _____________ ___________________________________________ ___________________________________________

77 !288 !299 !2

Size

Num

ber

of

year

s

Whale Polar Bear

Bird species in a Zoo

Name

Num

ber

of b

irds

Towhee Parrot Woodpecker Sparrow

20161060

40

35

30

25

20


Name

1 In the number 36 742 091, which digit is:

a in the millions place? __________ b in the ten thousands place? __________c a place holder? __________ d has the greatest value? __________e will change if 10 000 is added? __________ f in the hundred thousands place? __________

2 Count by: a thousands from 75 ___________________________________________________ to 5075. b millions from 899 650 ____________________________________________ to 3 899 650. c ones from 908 998 ________________________________________________ to 909 002.

3 This thermometer shows a winter’s day temperature at 6am.

a Fill in the missing digits on the thermometer.

b If the temperature warms by 7º, what will it be? _____________

c If the temperature drops by 2º, what will it be? _____________

d When the temperature registers 0, by how much will it have risen? _____________

e If the temperature starts at –4º, rises by 4º, fallsby 3º and rises again by 6º, what will it be then? _____________

4 Fill in the missing prime numbers.

a _____ , 3, 5, 7 b 11, _____ , 17, 19 c 61, _____ , 71, 73.

5 True or false.

a All prime numbers are odd numbers. _____________

b All composite numbers are even numbers. _____________

c Negative numbers begin at –100. _____________

d Many prime numbers end in 3, 7 or 9. _____________

Self Assessment

Score Basic Sound HighACMNA122 & ACMNA124 Number and place value • Identify and describe properties of prime, com-posite, square and triangular numbers. • Investigate everyday situations that use integers. Locate and represent these numbers on a number line.

Integers 2Assessment 37

6 a Write the first 10 triangular numbers. _______________________________________________________

b Write five pairs of consecutive triangular numbers and their sum, eg 3 + 6 = 9 ____________________

__________________________________________________________________________________________

c What do you notice about the sum of consecutive triangular numbers? _____________________________

__________________________________________________________________________________________

–20ºC

–10ºC

0ºC

16ºC


Name

Self Assessment

Score Basic Sound HighACMNA123 Number and place value • Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers. ACMNA134 Patterns and algebra • Explore the use of brackets and order of operations to write number sentences.

Multiplication and additionAssessment 38

1 a 9 π 15 + 3 π 60 + 2 π 35 b 15 π 10 + 8 π 25 + 8² + 75 = ___________________________ = ___________________________

c 25 × 3 + 260 + 50 × 3 d 2800 + {40 × 6 + (340 + 15) × 3} = _________________________ = ____________________________

2 a 3 7 5 b 7 4 2 c 9 0 5 π 7 π 9 π 6 _________ _________ _________

3 a 7 0 3 b 2 2 8 c 5 9 2 π 4 6 π 9 3 π 8 1 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _________ _________ _________ _________ _________ _________

4 Which is the best buy?

a 6 magazines at $7.95 each or 10 b 15 weeks Internet connection at $10.50 per magazines at $4.65 each? week or 12 weeks at $12.50 per week?

___________ ___________

5 Write the number sentence and solve the problem.

d There were 105 students in each of 24 classes at the University and 112 students in each of 18 classes. How many students were enrolled?

a We bought 15 sets of pencils at $12.55 a set and 12 boxes of pastels at $8.45 a box. How much did we spend for the art department?

b Every week of the year, vans picked up 25 kg of food from the markets and 32 kg of food from restaurants. How much food was picked up?

c How many days in 4 ordinary years and 1 leap year?


Name

Self Assessment

Score Basic Sound HighACMNA123 Number and place value • Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers.

Division and subtractionAssessment 39

1 Write only the number sentence for the following:

a $15.60 for 3 books. How much for 1? ___________________________

b I have to walk 200 km in 12 days. How many km per day? ___________________________

c What is the average of 35, 27, 18, 28 and 32? ________________________________________

2 What is the remainder for each?

a Five friends have collected 93 bottles. They have 18 bottles each and __________ left over.

b In 8 days, Dad hopes he can sail to Grooby Bay, 125 km away. He’ll sail 15 km a day, but still there will be __________ km left to go.

c Garren has donated 38 games to 3 classes at school. That will be 12 per class and __________ left over.

3 What is the difference between:

a 167 and 292? ______ b 129 and 205? ______ c 486 and 307? ______

4 a 95 – 16 – 4 – 7 – 0 – 12 = ________ b 74 – 10 – 2 – 8 – 5 – 6 – 0 = ________

c From 100 take three 5s. ________ d Take four nines from 80. ________

5 Give the remainder as a fraction.

a 6 1 8 4 b 9 2 5 6 c 3 2 8 6 d 5 4 0 7

6 Give the remainder as a decimal.

a 4 3 7 9 b 1 0 4 5 7 1 c 8 6 2 7 4 d 5 9 8 6

7 I filled 8 containers from a 1650 mL can of milk.

How much went into each container? ________________

8 To carry 386 magazines to her classroom, Miss Frend asked 9 children to help her. Each person could carry 9 magazines. How many loads were taken to move all the magazines?

________________


Name

Self Assessment

Score Basic Sound HighACMNA125 & ACMNA126 Fractions and decimals • Compare fractions with related denominators. • Solve problems involving addition and subtraction of fractions with the same or related denominators.

Operations with fractionsAssessment 40

1 Complete these chains of equivalent fractions.

a 1 = 2 = 3 = = = 8 = 10 b 1 = 2 = 3 = = 5 = = 10 5 20 25 3 12 18

2 Show the following additions.

a !2 + !4 b !3 + !2 c @5 + !0 d #4 + !8

3 Use equivalent fractions to add or subtract.

a !2 + #8= ______ b $5 + !0= ______ c #8 + !4= ______ d %12 + !4= _____

= ______ = ______ = ______ = ______

e !!12 – !3= ______ f #4 – !8= ______ g $7 – @14= ______ h 172Ω – !4= _____

= ______ = ______ = ______ = ______

4 Write improper fractions as mixed numbers.

a 145 = ______ b

113 = ______ c (6 = ______ d 512 = ______

e &4 = ______ f !&4 = ______ g @%6 = ______ h 372Ω = ______

5 a !3 π 7 = ______ b !5 π 6 = ______ c !6 π 9 = ______ d !0 π 12 = ______

e !8 π 9= ______ f @3 π 4= ______ g @5 π 5= ______ h 72Ω π 7 = ______


Name

Self Assessment


DecimalsAssessment 41

1 Find the perimeter.

a _____________________________ b _____________________________ 2

3

4 a A 10 cent piece has a mass of 5.65 g. What is the mass of $1 in 10c pieces? ______________

b A 50c piece weighs 15.55 g. What does $5.50 in 50c pieces weigh? ______________

c A $1 coin weighs 9 g and a $2 coin weighs 16.6 g. How much would $38 weigh in: $1 coins? ______________ $2 coins? ______________

5.8 m 3.65 m

2.65 m

3.85 km

1 km

0.38 km

2.7 km

0.5 km

1.05 km

30·24

÷ 6 ÷ 7 ÷ 8 ÷ 9

a ______ b ______ c ______ d ______

_________ km

Total length of rally = 12.5 km

Length of first leg = ____________ km

RADICAL RALLY ROUTE


Name

Self Assessment

Score Basic Sound HighACMN133 Patterns and algebra • Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence.

Patterns and algebra1 Describe each pattern, including starting and finishing numbers.

a 1, 2, 3, 4, 5, 6, 7, 8 __________________________________________________________b 1, 2, 4, 7, 11, 16 __________________________________________________________c 15, 13, 11, 9, 7, 5 __________________________________________________________d 4, 6.5, 9, 11.5, 14 __________________________________________________________e !4, %8, 1, 1 #8, 1 #4 __________________________________________________________

2 Complete the pattern according to the rule, beginning with the given number and writing 5 more terms.a Rule: Add 1 !2; 6 _______________________________________________b Rule: Subtract !3; 2 ____________________________________________c Rule: Multiply by 3; 2 _______________________________________________d Rule: Divide by 4; 4096 ______________________________________________e Rule: Subtract 15; 60 _______________________________________________

3 a Complete the table to show the perimeter of joined 2 cm triangles.

Joined triangles 1 2 3 4 5 6 10Perimeter (cm) 6 8

b Write the rule for finding the perimeter of joined triangles. ____________________________c What is the perimeter of 20 joined triangles?_____________________

4 a Complete the table to show the number of edges in a row of joined pentagons.

Pentagons 1 2 3 4 5 6 10Edges 5 8

b Write the rule. ______________________________________

5 Use =, < or > to make these equations true.

a 63 ÷ (7 + 2) + 13 ______ 70 ÷ 5 + 30 – 3 b 3 π 7 + 3 ______ 6² – 5 π 2c 3 π (7 + 9) + 1² ______ 7² + 2 π 1 – 4 d 7 + 56 ÷ 8 – 10 ______ 9.2 π 10 ÷ 4 e 15 π 4 + 2 π 2 π 2 + 7 ______ 5 π (10 + 5) f 4 π 8 π 0 π 6 ______ 7 + 8 – 7 π 2

6 Solve the following equations.a 0.5 π m = 3 b 2 π c + 7 = 31 c t² + 5 = 126 d 1!2 + k = 7 + 1!2 m = ___________ c = ___________ t = ___________ k = ___________

Assessment 42

Self Assessment



Name

1 Study the plan of the new Resource Centre for the Turner Academy. Write missing measurements for lengths marked by a letter, for each room and outdoor area on the plan. 1 square = 2 m × 2 m.

2 Complete the table of areas in square metres and perimeters in metres.

Room Length Width Area Perimeter

Library 1 2 Teachers’ Work room

Audio Visual

3 What is the area in hectares of: a a park 300 m long and 200 m wide?

b a parking lot 80 m long and 50 m wide?

4 How many metres of fencing is required to fence the whole area in Q1?

5 A carpet in the Audio Visual room leaves 1 m of floor exposed around it. Draw it on the plan and find its area.

Area and perimeterAssessment 43

a

b

c

d

36 m

12 m

24 m

Parking

Library

Teachers' Work

Audio Visual

72 m

10 m

6 m

20 m 8 m

8 m

8 m

4 m

e52 m

Hall

a ________

b ________

c ________

d ________

e ________

Self Assessment

Score Basic Sound HighACMMG136, ACMMG138 & ACMMG139 Using units of measurement • Convert between common metric units of length, mass and capacity. • Connect volume and capacity and their units of measurement. • Interpret and use timetables. ACMNA129 Fractions and decimals • Multiply decimals by whole numbers and perform divisions by non zero whole numbers.


Name

Capacity, volume and timeAssessment 44

1 Into this tank place this 10 cm cube. Draw the new level of water.

2 Gran uses this bus timetable when she comes to visit on Wednesdays.

a Two times have faded from the timetable. Fill them in.

b To reach our house at Meeny by 5 pm, which bus should she catch? ___________

c How long is the trip from Prouds to Station? ___________

d Gran arrives at the stop at Prouds at 4:21 pm. How long does she have to wait for the next bus? ___________

e From Prouds to Wester is 42 km. What is the average speed of the bus over the trip? ___________

3 a Volume? _____________

b Capacity? _____________

c Mass of water? _____________

d For the water level to drop by 5 cm, how much water must be taken out? _____________

4 A train leaves Liverpool at 04:30 and arrives at Goulburn, 200 km away at 08:30. What is its average speed? ____________________

5 How far will a plane travel at 240 km/h in 3!2 hours? ____________________

6 What distance will a beetle crawl in:

a 2 mins at 3 m/30 sec? ____________________ b 5 mins at 300 m/h? ____________________

80 cm

30 cm

20 cm

265 269 Destination Dep Dep pm pm

Prouds 4:15 4:35

Dreem 4:23 4:43

Hunder 4:32 4:52

Meeny 4:46

Shoppa 4:58

Station 5:04 5:24

Wester 5:15 5:35

4 L3 L2 L1 L

4 L3 L2 L1 L


Name

Self Assessment

Score Basic Sound HighACMMG137 Using units of measurement • Solve problems involving the comparison of lengths and areas using appropriate units. ACMMG142 Location and transformation • Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies.

Assessment 45

Circles1 Draw a circle with a radius of 4·5 cm. In it, draw a diameter and a right angled triangle,

using the diameter as the triangle’s base.

2 Draw a circle with a radius of 2·5 cm. Mark 3 Draw a circle with a radius of 3·5 cm. off 6 equal arcs around the circumference. Draw two diameters. Measure and label Draw an equilateral triangle using three of the angles formed. these points.

4 Enlarge this shape by a scale factor of 3.


Name

Self Assessment

Score Basic Sound HighACMMG140 Shape • Construct simple prisms and pyramids. ACMMG142 Location and transformation • Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies.

3D viewsAssessment 46

1 Draw one shorter and one longer block of wood beside this one. Show perspective and relative lengths accurately.

2 Match the top views to the models.

a b A B

c d C D

3 a Make this model. Draw it on the isometric paper.

b How many cubes did you use? _________


Name

Self Assessment

Score Basic Sound HighACMSP147 & ACMSP148 Data representation and interpretation • Interpret and compare a range of data displays, including side by side column graphs for two categorical variables. • Interpret secondary data presented in digital media and elsewhere.

DataAssessment 47

1 This table shows progress made by a cruise ship on a voyage.

a Draw a column graph and a line graph to show this information.

b Label all axes.

2 Write each statement letter under the graph it matches.

A B C

_____________________ _____________________ _____________________

a We rested between 2 pm and 3 pm. b There were four kinds of vehicles surveyed.c More people drove cars than took a bus. d Two days had an equal number of absentees.e From a class of 20, one was missing. f The trip was 225 km long.

200

100

01pm 2pm 3pm 4pm

200

150

100

50

0 c t w b

Mon

Tues

Wed

Thurs

Fri

Sat

DateDistance

sailed, km

May 2 0

May 3 300

May 4 250

May 5 250

May 6 320

May 7 300

May 8 280

Sea Pass Voyage May 2012__

____

____

____

____

____

______________________________________

Sea Pass Voyage May 2012

____

____

____

____

____

__

______________________________________


Name

Self Assessment

Score Basic Sound HighACMSP145 & ACMSP146 Chance • Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies. • Compare observed frequencies across experiments with expected frequencies.

ChanceAssessment 48

Mon

Tues

Wed

Thurs

Fri

Sat

1 Tick good questions to ask in a survey.

a What is the main method you use to get to school – by car, train, bus or walk?

b What is your favourite Internet search engine?

c Why don’t you like pizza?

d How many people in your family?

e What books have you read?

2 Write six holiday options for people to make a choice for a survey.

a ________________________________ b ________________________________ c ________________________________

d ________________________________ e ________________________________ f ________________________________

3 Sari has asked her friends which charities they support. These are her results so far.

Red Stamp 57 Shall Shelter 3 Fine Friends 7a If Sari asks 50 more similar friends, what are three outcomes that are possible? _____________________________________________________________________________________________ _____________________________________________________________________________________________ _____________________________________________________________________________________________

4 Match the chance expression with the event.

a I will pull a King of Hearts from a pack of cards. A 1:12

b I will select a red pencil from a box of 12 different coloured pencils. B 1:3

c I will pull a black sock out of a drawer of 5 pairs of black socks. C 1:52

d I will throw a 6 with a nine-sided die.. D 1:1

e The next traffic light I reach will be red. E 1:9

5 Place the following numerical expressions of chance in order from least likely (0) to certain (1).

2:5, 5:12, 3:6, 2:8, 1:1, 1:20, 3:10, 4:5, 9:10

0 1


Name

Self Assessment


Problem solving – Work backwardsAssessment 49

1 Leon wanted to know the age of a turtle he saw at the zoo. The zoo keeper said that if he added 14 years to the age of the turtle and then doubled it, the turtle would be 200 years old.

How old was the turtle?

2 Joni downloaded four songs as MP3 files from the Internet. The file sizes were 3.2 MB, 4.6 MB, 2.7 MB, and 8.1 MB. After the downloads, the disk where she stored the files held 26.3 MB of data.

How much data was on the disk before the downloads?

3 The South Whalers set out to sail around New Taz in early November. After a 13 day sail they rested for 2 days, then sailed again for a fortnight. Repairs then held them up for 4 days before they made a final dash of 9 days to arrive home on 14th December.

When did they set sail?

4 When I left home for the beach, I had two notes of equal amounts in my pocket. I spent $5.60 for fares and $13.40 for lunch. My sister gave my $2 so she could share my lunch. I bought ice creams for $12.50 and had $10.50 left.

What two notes did I have in my pocket?

5 Three squirrels gathered all the nuts they could and put them in three equal piles before going to sleep. During the night one squirrel woke and ate 6 nuts and put the remaining nuts into three piles again. Later, a second squirrel did the same, hoping to hide the fact that he had eaten 6 nuts. When the third squirrel woke he guessed that the piles of nuts were not as large as they should be. When he counted them there were only 12 nuts in each pile.

How many nuts had there been at the beginning?


Name

Self Assessment


Problem solving – Trial and errorAssessment 50

1 There are 171 books on 13 shelves in Mrs. Harris’s classroom. Some shelves have 15 books each and the rest have 12 books each. How many shelves have 12 books?

2 On a farm there are some chickens and some sheep. An observer counts 32 heads and 86 feet. Assuming each creature has only one head, sheep have 4 feet and chickens have 2 feet, how many chickens and how many cows are on the farm?

3 Jelena has three times as many brothers as sisters. Her brother Milan has two more brothers than he has sisters. How many boys and how many girls are there in the family?

4 Imagine you have inherited $1000 from a family member who insists you use it to buy shares in at least three businesses. Study this share list of companies and the prices of their shares. Choose two sets of three companies and a number of shares in each company to total as close to $1000 each set as you can. No of shares Cost ea. Business Total cost

No of shares Cost ea. Business Total cost

Business Price

Jingo $2.25

Marz $3.10

WPO $1.80

Curies $5.75

Binks $9.00


Name

Self Assessment


Draw a diagram – Make a listAssessment 51

1 How many two digit numbers are there in which the tens digit is less than the ones digit?

_______________________ _______________________ _______________________ _______________________ _______________________ _______________________ _______________________ _______________________ _______________________

2 In his pocket Wei has a 5 cent coin, a 10 cent coin, a 20 cent coin and a 50 cent coin.

How many different sums of money can he make using any of these four coins?

_______________________ _______________________ _______________________

_______________________ _______________________ _______________________ _______________________ _______________________ _______________________ _______________________ _______________________ _______________________

3 Scott is trying to remember the 4 digit combination for his school locker. He remembers that his combination contains a 4, 5, 7 and 9, but cannot remember the order.

How many possible combinations will he need to try?

_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

4 In how many ways can four friends, Nyree, Julie, Fran and Bea sit in a row if Fran and Bea insist on sitting next to each other?

_______________________ _______________________ _______________________

_______________________ _______________________ _______________________ _______________________ _______________________ _______________________ _______________________ _______________________ _______________________

5 Sandi has homework 4 nights of the week. She has maths, spelling, reading, writing, history and science. There 3 sets of maths and spelling, 2 sets of reading and writing. She has 1 set of the other subjects.

How can she make a timetable so that she does different subjects every night?

____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


NameDraw a diagram – Make a list

Self Assessment


Assessment 51

6 When it comes time to hold the aerobics competition, the students of Zander school are very active. They have to incorporate stepping, jogging, star jumps and side steps, as well as skiing and knees-up routines. Plan a routine that uses 5 of these 6 activities to make an interesting routine. Nominate how many of each activity they must do, using groups of 4 or 8 repeats.

______________________________________________________________________________________________

______________________________________________________________________________________________

______________________________________________________________________________________________

______________________________________________________________________________________________

______________________________________________________________________________________________

______________________________________________________________________________________________

7 The Bigga Balloon Company made up prize packets of balloons to attract more sales. On every 3rd packet a bronze seal could be found, on every 4th packet a silver seal could be found and on every 5th packet there was a gold seal.

There was a major prize for anyone who found a packet with all three seals on it. How many packets of balloons have to be made before this lucky packet appears?

_____________________

8 The sum of my mother’s and father’s ages is 85 working and my father is five years older than my mother.

There is also five years difference in the ages of my older brother and me.

Our family’s combined ages this year is 112.

What are our ages? Mum __________ Dad __________ Brother ___________ Me __________

3s 4s 5s

Assessment 1 Name Whole numbers

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