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ork 1 Construct each of the following triangles. Remember to label all the lines and angles. The triangles
are not drawn to scale.
a b
2 Construct each of the following triangles. Remember to label all the lines and angles. The trianglesare not drawn to scale.
a b
3 Construct the triangle ABC with AB = 6 cm, angle A = 40° and angle B = 50°.
Y Z
X
5.5cm
25°135°
P
Q R6cm
55° 55°
E F
D
5cm
5cm120°
A
B C
4cm
6cm
60°
Handling Data 1CHAPTER
3
Teacher’s Pack 1 Homework
LESSON 3.1
Ho
me
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rk 1 A bag contains 10 counters. How many red counters are in the bag if the chance of picking out ared counter is:
a even? b impossible? c certain?
2 Ten cards are numbered from 1 to 10. Describe in words the chance of picking:
a an odd number b a number less than 11 c a number greater than 3
3 A bag contains 10 counters. It is impossible to pick a red counter. There is an even chance that ablue counter is picked. One counter is yellow. There is twice the chance of picking a green counterthan a yellow counter. The rest of the counters are purple.
How many red, blue, green and purple counters are there?
ork 1 The table gives the data about each yacht type.
Yacht Round sails/ Colour of sails Flag/ Curved hull/ Colour of hullstraight sails no flag Pointed hull
1 Round Blue Yes Curved Red2 Straight Red No Pointed Red3 Straight Green Yes Pointed Blue4 Round Yellow No Curved Blue5 Straight Blue Yes Curved Yellow6 Round Yellow Yes Pointed Green7 Straight Red No Curved Blue8 Round Blue Yes Pointed Red9 Round Green No Curved Yellow
10 Straight Blue No Pointed Red11 Round Red No Pointed Blue12 Straight Red Yes Curved Blue13 Straight Green No Curved Yellow14 Straight Blue No Curved Red15 Round Red No Pointed Blue16 Round Blue No Pointed Yellow17 Round Red Yes Curved Red18 Straight Green Yes Pointed Blue19 Round Blue No Pointed Red20 Straight Red No Curved Red
Work out the most popular choice of each category and find out whether there is a yacht of thattype in the list. If two categories are equal, you can choose either.
LESSON 3.5
Ho
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rk This homework is connected to the extension work, which some students may already have started.
1 Having decided on an experiment of your own, collect your data. Try to collect as much aspossible.
2 Write a brief report about the data you have collected.
3 Work out an experimental probability for your data.
rk 1 Write each of the following decimals as a fraction with a denominator of 10 or 100. Then cancel toits simplest form if possible.
a 0.4 b 0.32 c 0.62 d 0.7
2 Write down each of the following as a terminating decimal.
a b c d e 910
1150
45
34
720
LESSON 4.2
Ho
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rk 1 Work out each of the following, cancelling down or writing as a mixed number as appropriate.
a + b + c + d + +
e – f – g – h + –
2 Work out each of these.
a of £36 b of 49 kg
3 Work out each of these, cancelling down or writing as mixed numbers as appropriate.
a 3 × b 4 × 38
59
37
49
15
25
35
110
710
18
58
17
27
35
25
15
110
710
78
58
27
17
LESSON 4.3
Ho
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rk 1 Without using a calculator, work out what percentage the first value is of the second value.
a 45 out of 50 b 13 out of 20 c 22 out of 25 d 16 out of 20
e 21 out of 50 f 28 out of 100 g 15 out of 25 h 4 out of 20
2 In the Year 10 exams, Tamsin scored 84 out of 100 in Maths, 44 out of 50 in English and 21 out of25 in Science. Convert these scores into a percentage. In which test did Tamsin do best?
LESSON 4.4
Ho
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rk Do not use a calculator.
1 A car has a top speed of 130 miles per hour. After tuning, the top speed increases by 10%.
a How many miles per hour faster is the car now?
b What is the new top speed of the car?
2 Work out the final amount when:
a £40 is increased by 20% b £60 is decreased by 10%
c £140 is increased by 25% d £80 is decreased by 20%
She places all the tiles in a row. She starts her row like this:
For each tile she writes down the coordinates of the corner which has a dot. The coordinates of thefirst corner are (5, 2).
a Write down the coordinates of the next six corners which have a dot.
b Look at the numbers in the coordinates. Describe two things you notice.
c Vicky thinks that (50, 20) are the coordinates of one of the corners which have a dot. Explain whyshe is right.
d What are the coordinates of the dotted corner in the 20th tile?
For each rectangular tile she now writes down the coordinates of the corner which has a X. Thecoordinates of the first corner are (0, 2).
e Write down the coordinates of the next six corners which have a X.
f Look at the numbers in the coordinates. Describe two things you notice.
g Vicky thinks that (30, 19) are the coordinates of one of the corners which have a X. Explain whyshe is wrong.
h What are the coordinates of corner with a X in the 20th tile?
y
x
4
2
O 2 4 6 8 10 12 14 16
6
5cm2cm
LESSON 7.5
Ho
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rk Dean set off from home at at 6.00pm. He drove 80 km in 2 hours. He stopped for 40 minutes topick up Helen, and then drove back home, ariving at 10pm.a Draw a travel graph to illustrate this journey.b How far from home was Dean at 7.30pm?
ork Find three different combinations of two transformations that will
map shape A onto shape B.
O
A
B
y
x
LESSON 9.4
Ho
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rk Copy the following diagrams onto centimetre squared paper and reflect each one in both mirrorlines.
1 2
LESSON 9.5
Ho
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rk 1 Express each of the following ratios in their simplest form:
a 12 cm : 16 cm b 40 mm : 5 cm c 30 cm : 1 m d 500 m : 2.5 km
2 Rectangle A is 6 cm by 2 cm and rectangle B is 6 cm by 8 cm. Find each of the ratios given belowfor the two rectangles, giving your answers in their simplest form:
a the perimeter of rectangle A to the perimeter of rectangle B.
b the area of rectangle A to the area of rectangle B.
3 A rectangle of length 12 cm and width 10 cm has a black square of edge length 2 cm in each corner(four black squares in total). If the four black squares are cut off the rectangle, find the ratio of thearea of the black squares to the area of the remaining shape.
ork 1 If M = DV, find M when i D = 2 and V = 150 ii D = 7 and V = 200
2 If A = 4rh, find A when i r = 15 and h = 5 ii r = 20 and h = 16
3 If n = , find n when i A = 180 ii A = 720
4 If U = v – ft, find U when i v = 80, f = 32 and t = 2 ii v = 120, f = 15 and t = 6
5 If L = , find L when i A = 36 and B = 4 ii A = 10 and B = 2
6 T = , find T when P = 14, q = 19 and r = 11P(q – r)2
AB
A + 360180
LESSON 10.6
Ho
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rk 1 Using the letters suggested, construct a simple formula in each case.
a The sum, S, of four numbers a, b, c and d. b The product, P, of two numbers A and B.
c The sum, S, of five consecutive integers.
2 Give the number of hours in: a 4 days b d days
3 A boy is now 15 years old.
a How many years old he will be in: i 6 years ii t years?
b How many years old was he: i 7 years ago ii n years ago?
4 Give how many metres there are in: a 7 km b y km
5 How many seconds are there in t minutes?
6 Write down the number that is three times as big as K.
Handling Data 2CHAPTER
11
Teacher’s Pack 1 Homework
LESSON 11.1
Ho
me
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rk The homework could be used to complete the first stage of the problem as outlined in the lessonplan.
If time permits, the class could investigate a further problem from Exercise 11A or choose their own.Alternatively, they could work on the extension task.
ork 1 The scatter graph shows the test results of 10 pupils for
Maths and Science. Describe what the graph tells you.
2 The table shows the cost of CDs in a record shop sale and the number sold in one day.
CD A B C D E F G H I J
Cost £8 £12 £14 £10 £12 £9 £8 £10 £13 £12
Number sold 20 12 8 15 10 18 18 13 7 8
a Copy the graph and plot the points. The first two pointshave been done for you.
b Describe what the graph tells you.
Num
ber
of C
Ds
sold
05
152025
10
20151050Cost (£)
Scie
nce
mar
ks
0
20
40
80
100
60
100806040200Maths marks
LESSON 11.5
Ho
me
wo
rk The homework could be used to collect further data, but the main activity is to complete a writtenreport using the data collected, in which the data is analysed and presented using the methods usedin this chapter.
If extra time is available, investigate the time spent on homework compared with the time workingon a problem in class. You could compare this for different subjects.
Number 4CHAPTER
12
Teacher’s Pack 1 Homework
LESSON 12.1
Ho
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rk 1 Write these fractions as mixed numbers (cancel down if necessary):
a nine sixths b fourteen thirds c twelve sevenths d thirteen halves
e f g h
2 Write these mixed numbers as top-heavy fractions:
ork 1 State the equation of each straight line shown below.
a b b b
2 Draw sketch graphs of each of the following.
a y = 5 b x = 4 c y = 2x
1
2 4
234y
xO 1 3
1
2 4
234y
xO 1 3
1
2 4
234y
xO 1 3
1
2 4
234y
xO 1 3
LESSON 13.5
Ho
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rk 1 An express parcel delivery agency charges £5 for any delivery up to a mile, then another £4 foreach mile after that up to 4 miles. For journeys over 4 miles they charge an extra £1 per mile overthe 4.
a How much is charged for the following journeys:
i half a mile ii 1 mile iii 2 miles iv 4 miles v 7 miles vi 12 miles?
Draw a step graph to show the charges for journeys up to 12 miles.
2 Look at each of the following graphs and write a short story to go with each graph.
Time
Dis
tanc
e
Time
Dis
tanc
e
Time
Dis
tanc
e
Time
Dis
tanc
e
LESSON 13.6
Ho
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rk 1 Rewrite each of the following formulae asindicated:
rk 1 Draw an accurate copy of this cuboidon an isometric grid.
2 For each of the following 3-D shapes below, draw on centimetre-squared paper:
i the plan ii the front elevation iii the side elevation.
a b c
6 cm
2 cm
4 cm
LESSON 15.3
Ho
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rk 1 The lines below are drawn using a scale 1 cm to 4 m. Write down the length each line represents.
a
b
c
d
e
2 The diagram shown is a scale drawing of Mr Peters’ garden:
3 The length of a netball court is 30 m and its width is 16 m. On centimetre-squared paper, draw aplan of the netball court, using a scale of 1 cm to 4 m.
Vegetable Patch
Lawn
Path
Scale: 1 cm to 2 m
a Find the actual dimensions of the garden.
b Find the actual dimensions of the lawn.
c Find the actual dimensions of the vegetable patch.
ork Complete the write up of the cube investigation, explaining clearly what you have done and how
you recorded your results. Remember that if another person reads your work, they shouldunderstand exactly what the problem is and what you have done to find the answer.
Handling Data 3CHAPTER
16
Teacher’s Pack 1 Homework
LESSON 16.1
Ho
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rk 1 Complete a frequency table for the followingtemperatures (°C). Use class intervals of 0–10, 11–20, 21–30, 31–40.
12 17 32 30 10 22 26 8 16 5
14 33 24 19 6 30 25 40 2 18
2 Complete a frequency table for the ages (years)of a group of people. Use class intervals of 20–24, 25–29, 30–34, 35–40.
24 28 25 36 30 37 33 22 27 39
22 29 34 21 31 30 29 21 32 35
3 Complete a frequency table for the marks thatstudents scored in a test. Use class intervals of0–10, 11–20, 21–30, 31–40.
25 32 10 39 19 9 38
24 32 35 11 21 34 22
LESSON 16.2
Ho
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rk 1 Find the median of each of the following sets of data.
a 7, 5, 2, 3, 9, 2, 5, 7, 6 b 46, 37, 25, 14, 41, 27, 29, 33, 25
c 6, 1, 10, 15, 11, 15, 7 d 100, 95, 73, 67, 34, 121, 164, 241, 503
2 Find the median of each of the following sets of data.
a 21, 17, 25, 18, 14, 20 b 7, 2, 8, 5, 3, 1, 4, 7, 9, 5