Top Banner
HW 1 General Revision HW 2 Percentages HW 3 Volume HW 4 Linear Relationships HW 5 Algebraic Operations HW 6 Circle HW 7 All of Unit 1 HW 8 All of Unit 1 HW 9 Trigonometry HW 10 HW 11 Simultaneous Equations HW 12 Graphs, Charts and Tables HW 13 HW 14 Statistics HW 15 All of Unit 1 and 2 HW 16 All of Unit 1 and 2
16

HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Jan 03, 2016

Download

Documents

beck-stevens

HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships HW 5 Algebraic Operations HW 6Circle HW 7All of Unit 1 HW 8 All of Unit 1 HW 9Trigonometry HW 10 HW 11Simultaneous Equations HW 12Graphs, Charts and Tables HW 13 HW 14Statistics - PowerPoint PPT Presentation
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

HW 1 General RevisionHW 2 PercentagesHW 3 VolumeHW 4 Linear Relationships HW 5 Algebraic OperationsHW 6 CircleHW 7 All of Unit 1HW 8 All of Unit 1

HW 9 TrigonometryHW 10HW 11 Simultaneous EquationsHW 12 Graphs, Charts and TablesHW 13 HW 14 StatisticsHW 15 All of Unit 1 and 2HW 16 All of Unit 1 and 2

Page 2: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Int 2 Maths Mixed Homework Exercise 1

1) Calculate the size of the side k.C=/ *789–

456+

123

0 . =

2) CalculateC=/ *789–

456+

123

0 . =a) 47% of $5672 b) 64% of 893 kg

14o

k23 cm

3)Calculate area and circumference of this circle.Give your answers correct to 2 significant figures.

C=/ *789–

456+

123

0 . =

20 cm

4) Expand and simplify.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5) Factorise.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 4 ( w + 3 ) + 6 ( w - 6 ) b) 9 ( k + 2 ) - 5 ( k - 4 )

a) 4x + 20 b) 6xy + 9y

6) Calculate

a) 12.5% of £1016 b) 17.5% of £800

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Int 2 Maths Mixed Homework Exercise 1

1) Calculate the size of the side k.C=/ *789–

456+

123

0 . =

2) CalculateC=/ *789–

456+

123

0 . =a) 47% of $5672 b) 64% of 893 kg

14o

k23 cm

3) Calculate area and circumference of this circle.Give your answers correct to 2 significant figures.

C=/ *789–

456+

123

0 . =

20 cm

4) Expand and simplify.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5) Factorise.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) 4 ( w + 3 ) + 6 ( w - 6 ) b) 9 ( k + 2 ) - 5 ( k - 4 )

a) 4x + 20 b) 6xy + 9y

6) Calculate

a) 12.5% of £1016 b) 17.5% of £800

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Page 3: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Int 2 Maths Mixed Homework Exercise 2

4)Amy received a 8% pay rise taking her annual salary to £20 520. What did she earn in a year before this pay rise ?

C=/ *789–

456+

123

0 . =

2)A house was valued at £172 000 three years ago.Since then it has appreciated by 5%, 7% and 8%in successive years. Find the actual increase in the value of the house to the nearest pound.

C=/ *789–

456+

123

0 . =

3)A man places £7800 in the bank and leaves it there for six years. If the rate offered is 7.2% p.a. thenhow much interest has he gained over the 6 year period?

C=/ *789–

456+

123

0 . =

1)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Round the number 683 169 to

a) 1 sig fig b) 2 sig figs c) 4 sig figs

5) A shopkeeper buys 24 bottles of wine for £108.He sells them for £6.50 each.Express his profit as a percentage of the cost price.Give your answer correct to two decimal places.

C=/ *789–

456+

123

0 . =

6)A flagpole is supported by two wires secured to the ground at the same point as shown in the diagram. The smaller wire is 34 m long.The longer wire is 52 m long.

C=/ *789–

456+

123

0 . =

26 m

34 m

52 ma) Find the height at which the small wire is

attached to the mast.

b) Find the distance between the two wires when they are attached to the flag pole.

Int 2 Maths Mixed Homework Exercise 2

4)Amy received a 8% pay rise taking her annual salary to £20 520. What did she earn in a year before this pay rise ?

C=/ *789–

456+

123

0 . =

2)A house was valued at £172 000 three years ago.Since then it has appreciated by 5%, 7% and 8%in successive years. Find the actual increase in the value of the house to the nearest pound.

C=/ *789–

456+

123

0 . =

3)A man places £7800 in the bank and leaves it there for six years. If the rate offered is 7.2% p.a. thenhow much interest has he gained over the 6 year period?

C=/ *789–

456+

123

0 . =

1)C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Round the number 683 169 to

a) 1 sig fig b) 2 sig figs c) 4 sig figs

5) A shopkeeper buys 24 bottles of wine for £108.He sells them for £6.50 each.Express his profit as a percentage of the cost price.Give your answer correct to two decimal places.

C=/ *789–

456+

123

0 . =

6)A flagpole is supported by two wires secured to the ground at the same point as shown in the diagram. The smaller wire is 34 m long.The longer wire is 52 m long.

C=/ *789–

456+

123

0 . =

26 m

34 m

52 ma) Find the height at which the small wire is

attached to the mast.

b) Find the distance between the two wires when they are attached to the flag pole.

Page 4: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Int 2 Maths Mixed Homework Exercise 3

1) A caravan was valued at £16 000 two years ago.Since then it has depreciated by 8% and 7.3% in successive years. Find the current value of the caravan.

C=/ *789–

456+

123

0 . =

2) Calculate

21

12a) % of £79500 21

2b) % of 4200 m C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Find the area and the perimeter of this shape.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4 cm

5 cm

9 cm

4)Mr Evans’ car has depreciated in value by 11% over thelast year. It is now worth £4628. What was the value of the car this time last year ?

C=/ *789–

456+

123

0 . =

5) Calculate the volume of this cylinder.Give your answer in litres.

50 cm

95 cm

C=/ *789–

456+

123

0 . =

6)Find the volume of this hemi - sphere to 3 sig figs.

30 cm

C=/ *789–

456+

123

0 . =

[ (sphere) ]3

34

rV

Int 2 Maths Mixed Homework Exercise 3

1) A caravan was valued at £16 000 two years ago.Since then it has depreciated by 8% and 7.3% in successive years. Find the current value of the caravan.

C=/ *789–

456+

123

0 . =

2) Calculate

21

12a) % of £79500 21

2b) % of 4200 m C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Find the area and the perimeter of this shape.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4 cm

5 cm

9 cm

4)Mr Evans’ car has depreciated in value by 11% over thelast year. It is now worth £4628. What was the value of the car this time last year ?

C=/ *789–

456+

123

0 . =

5) Calculate the volume of this cylinder.Give your answer in litres.

50 cm

95 cm

C=/ *789–

456+

123

0 . =

6)Find the volume of this hemi - sphere to 3 sig figs.

30 cm

C=/ *789–

456+

123

0 . =

[ (sphere) ]3

34

rV

Page 5: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Int 2 Maths Mixed Homework Exercise 4

1)£4800 is put into a bank account and left there for 6years. If the bank offers a rate of 2.72% p.a. How much interest has this money made during this time ?

C=/ *789–

456+

123

0 . =

3)Calculate the volume of this prism.

9 cm

27 cm

17 cm

4 cm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) Write down the equation of this straight line. C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

02

2

x 4

4

-2-4-2

-4

y

4)The equation of a straight line is y = 3x - 2. Copy and complete the table and hence make a neat sketch of this line.

-2 -1 0 1 2xy

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5)You achieved 45 out of 70 in a Maths test.Express this as a percentage.Give you answer correct to 3 significant figures.

C=/ *789–

456+

123

0 . =

6) Calculate

a) 12 + 5 x 9 b) 111 – 72 ÷ 4 C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Int 2 Maths Mixed Homework Exercise 4

1)£4800 is put into a bank account and left there for 6years. If the bank offers a rate of 2.72% p.a. How much interest has this money made during this time ?

C=/ *789–

456+

123

0 . =

3)Calculate the volume of this prism.

9 cm

27 cm

17 cm

4 cm

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) Write down the equation of this straight line. C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

02

2

x 4

4

-2-4-2

-4

y

4)The equation of a straight line is y = 3x - 2. Copy and complete the table and hence make a neat sketch of this line.

-2 -1 0 1 2xy

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5)You achieved 45 out of 70 in a Maths test.Express this as a percentage.Give you answer correct to 3 significant figures.

C=/ *789–

456+

123

0 . =

6) Calculate

a) 12 + 5 x 9 b) 111 – 72 ÷ 4 C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Page 6: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Int 2 Maths Mixed Homework Exercise 5

1)The equation of a straight line is y = 2x - 3. Copy and complete the table and hence make a neat sketch of this line.

-2 -1 0 1 2xy

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) Make a neat sketch of the graph of y = - x + 2

where the x - axis runs from -6 to 6.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6) Factorise

a) p2 + 5p - 24 b) 5c2 - 31c - 28

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Expand

a) (d + 5)(d - 9) b) (4r - 3) 2

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

02

2

x 4

4

-2-4-2

-4

5) Write down the equation of this line.

4) Factorise

a) 14x + 21 b) 5y2 – 10y – 15

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

7) Alison bought her flat for £56 000.She sold it 10 years later for £87 920.What percentage profit did Alison make?

C=/ *789–

456+

123

0 . =

Int 2 Maths Mixed Homework Exercise 5

1)The equation of a straight line is y = 2x - 3. Copy and complete the table and hence make a neat sketch of this line.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6) Factorise

a) p2 + 5p - 24 b) 5c2 - 31c - 28

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) Expand

a) (d + 5)(d - 9) b) (4r - 3) 2

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

02

2

x 4

4

-2-4-2

-4

5) Write down the equation of this line.

4) Factorise

a) 14x + 21 b) 5y2 – 10y – 15

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

7) Alison bought her flat for £56 000.She sold it 10 years later for £87 920.What percentage profit did Alison make?

C=/ *789–

456+

123

0 . =

43

2) Make a neat sketch of the graph of y = - x + 2

where the x - axis runs from -6 to 6.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

43

-2 -1 0 1 2xy

Page 7: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Int 2 Maths Mixed Homework Exercise 6

1) The capacity of the liquid in this cylinder is 2957 cm3. Find the depth of the liquid to 2 significant figures.

8.2 cm

C=/ *789–

456+

123

0 . =

6)Find the volume of this cone to 2 significant figures. C=/ *789–

456+

123

0 . =

27.86 cm

5.92 cm

[ (cone) ]V = r2h13

2) Find the perimeter and area of this minor sector. Give your answers correct to 3 significant figures.

137o

7.2 cm

C=/ *789–

456+

123

0 . =

4) Make a neat sketch of the graph of y = - x - 3

where the x - axis runs from -6 to 6.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

12

5) Factorise the following:

a) t2 + 4t

b) x2 - 16

c) 2w2 + 5w + 2

d) 3p2 - 48

e) 4k2 – 6k - 10

f) a2b2– 9b2

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Int 2 Maths Mixed Homework Exercise 6

1) The capacity of the liquid in this cylinder is 2957 cm3. Find the depth of the liquid to 2 significant figures.

8.2 cm

C=/ *789–

456+

123

0 . =

6)Find the volume of this cone to 2 significant figures. C=/ *789–

456+

123

0 . =

27.86 cm

5.92 cm

[ (cone) ]V = r2h13

2) Find the perimeter and area of this minor sector. Give your answers correct to 3 significant figures.

137o

7.2 cm

C=/ *789–

456+

123

0 . =

3) The arc length of this shape is 8.16 cm2. Calculate co to 4 significant figures.

co

8.7 cm

C=/ *789–

456+

123

0 . =

4) Make a neat sketch of the graph of y = - x - 3

where the x - axis runs from -6 to 6.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

12

5) Factorise the following:

a) t2 + 4t

b) x2 - 16

c) 2w2 + 5w + 2

d) 3p2 - 48

e) 4k2 – 6k - 10

f) a2b2– 9b2

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

3) The arc length of this shape is 8.16 cm2. Calculate co to 4 significant figures.

co

8.7 cm

C=/ *789–

456+

123

0 . =

Page 8: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Int 2 Maths Mixed Homework Exercise 7

1) Find the volume of this shape.The circle has a diameter of 8 cm.

C=/ *789–

456+

123

0 . =

15 cm

23 cm

17 cm

2) The area of this shape is 9.83 cm2. Calculate the diameter of the circle.Give your answer correct to 2 sig figs. 23o

C=/ *789–

456+

123

0 . =

3)Calculate the gradient of the line joining these pairs of points.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) (7,3) and (9,7) b) (-3,4) and (2,-7)

4)£700 is put into a bank account and left there for 4years. If the bank offers a rate of 5.72% p.a. how much interest has this money made during this time ?

C=/ *789–

456+

123

0 . =

5) Does the point (4,2) lie on the line y = - x – 4 ?You must show all working. C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =

12

6) Calculate all the missing angles.ABCD is a tangent kite.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

A

B

C

D57o

xo yo

zo

a)

Calculate the length of the line BD.

b)

5 mm12 mm

Int 2 Maths Mixed Homework Exercise 7

1) Find the volume of this shape.The circle has a diameter of 8 cm.

C=/ *789–

456+

123

0 . =

15 cm

23 cm

17 cm

2) The area of this shape is 9.83 cm2. Calculate the diameter of the circle.Give your answer correct to 2 sig figs. 23o

C=/ *789–

456+

123

0 . =

3)Calculate the gradient of the line joining these pairs of points.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

a) (7,3) and (9,7) b) (-3,4) and (2,-7)

4)£700 is put into a bank account and left there for 4years. If the bank offers a rate of 5.72% p.a. how much interest has this money made during this time ?

C=/ *789–

456+

123

0 . =

5) Does the point (4,2) lie on the line y = - x – 4 ?You must show all working. C = / *

7 8 9 –

4 5 6 +

1 2 3

0 . =

12

6) Calculate all the missing angles.ABCD is a tangent kite.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

A

B

C

D57o

xo yo

zo

a)

Calculate the length of the line BD.

b)

5 mm12 mm

Page 9: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Int 2 Maths Mixed Homework Exercise 8

1)C=/ *789–

456+

123

0 . =

Find the area of this shape.

10 cm

14 cm

26 cm

3)Calculate the size of the missing angles.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) Make a neat sketch of the graph of y = - x - 4

where the x - axis runs from -6 to 6.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

53

22o

4)The points ( 0 , -4) ( 5 , 26) and ( 14, 80 ) all lie on thesame straight line. What is the equation of this line ?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5) Multiply out the brackets and simplify:C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6) Factorise fully:C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) g3 - 4g b) 3y2 - 21 c) 8l2 - 10l - 3

Int 2 Maths Mixed Homework Exercise 8

1)C=/ *789–

456+

123

0 . =

Find the area of this shape.

10 cm

14 cm

26 cm

3)Calculate the size of the missing angles.C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2) Make a neat sketch of the graph of y = - x - 4

where the x - axis runs from -6 to 6.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

53

22o

4)The points ( 0 , -4) ( 5 , 26) and ( 14, 80 ) all lie on thesame straight line. What is the equation of this line ?

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

5) Multiply out the brackets and simplify:C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

6) Factorise fully:C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =a) g3 - 4g b) 3y2 - 21 c) 8l2 - 10l - 3

a) (t - 4)(t + 4) b) 10 - 8(s2 - 4) a) (t - 4)(t + 4) b) 10 - 8(s2 - 4)

Page 10: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

1)Find 12 % of £1403.60 by doing only one sum.12

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Int 2 Maths Mixed Homework Exercise 9

2)Find x in each of these triangles.C=/ *789–

456+

123

0 . =

7 cm 33o

x25 m

37 m

xoa) b)

3)Find the length of the side QP. C=/ *789–

456+

123

0 . =

Q

PR

52o

23o

15 cm

4)Find the size of angle XYZ.C=/ *789–

456+

123

0 . =

X

YZ

35 m

39 m14o

5)Find the length of LN. C=/ *789–

456+

123

0 . =

73 m

40o

70o

K

L

MN

1)Find 12 % of £1403.60 by doing only one sum.12

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Int 2 Maths Mixed Homework Exercise 9

2)Find x in each of these triangles.C=/ *789–

456+

123

0 . =

7 cm 33o

x25 m

37 m

xoa) b)

3)Find the length of the side QP. C=/ *789–

456+

123

0 . =

Q

PR

52o

23o

15 cm

4)Find the size of angle XYZ.C=/ *789–

456+

123

0 . =

X

YZ

35 m

39 m14o

5)Find the length of LN. C=/ *789–

456+

123

0 . =

73 m

40o

70o

K

L

MN

Page 11: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Int 2 Maths Mixed Homework Exercise 10

1)Samantha get a 7% pay rise. She now earns £26 750.How much did she earn before her pay rise?

C=/ *789–

456+

123

0 . =

2)The equation of a straight line is y = - x - 4.

Copy and complete the table and hence make a neat sketch of this line.

-4 -2 0 2 4xy

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

12

3)Calculate the perimeter of this shape. C=/ *789–

456+

123

0 . =

95o47o

30o

97m115o

4)Calculate the size of the largest angle in this triangle. C=/ *789–

456+

123

0 . =

14 m

15 m16 m

5)Calculate the area of the shape. C=/ *789–

456+

123

0 . =

27o

19 cm

33 cm

12 cm

34o

Int 2 Maths Mixed Homework Exercise 10

1)Samantha get a 7% pay rise. She now earns £26 750.How much did she earn before her pay rise?

C=/ *789–

456+

123

0 . =

2)The equation of a straight line is y = - x - 4.

Copy and complete the table and hence make a neat sketch of this line.

-4 -2 0 2 4xy

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

12

3)Calculate the perimeter of this shape. C=/ *789–

456+

123

0 . =

95o47o

30o

97m115o

4)Calculate the size of the largest angle in this triangle. C=/ *789–

456+

123

0 . =

14 m

15 m16 m

5) Calculate the area of the shape. C=/ *789–

456+

123

0 . =

27o

19 cm

33 cm

12 cm

34o

Page 12: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Int 2 Maths Mixed Homework Exercise 11

1) Sketch the straight lines y = 4x + 1 and y = -2x + 1. a)

b) Write down the coordinates where the lines cross.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2)Solve this system of equations.

7x – 3y = -13

3x + y = -5

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

7) It costs £18 for an adult to go to the football.It costs £7.50 for a child to go to the football.A group of 8 people go to the football. It costs £112.50.How many adults went to the football?

C=/ *789–

456+

123

0 . =

3)Find the area of this equilateral triangle. C=/ *789–

456+

123

0 . =

25 mm

4)An aircraft is picked up by two radar stations, A and B.Station B is 70 km away and due East of station A. The plane is on a bearing of 47o from station A and 320o from station B.How high is the plane above the ground?

C=/ *789–

456+

123

0 . =

5) a) Find the area of this shape.

127o

14 m

b) Find the perimeter of this shape.

C=/ *789–

456+

123

0 . =

6)Find 12 % of £6800 by doing only one sum.12

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Int 2 Maths Mixed Homework Exercise 11

1) Sketch the straight lines y = 4x + 1 and y = -2x + 1. a)

b) Write down the coordinates where the lines cross.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

2)Solve this system of equations.

7x – 3y = -13

3x + y = -5

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

7) It costs £18 for an adult to go to the football.It costs £7.50 for a child to go to the football.A group of 8 people go to the football. It costs £112.50.How many adults went to the football?

C=/ *789–

456+

123

0 . =

3)Find the area of this equilateral triangle. C=/ *789–

456+

123

0 . =

25 mm

4)An aircraft is picked up by two radar stations, A and B.Station B is 70 km away and due East of station A. The plane is on a bearing of 47o from station A and 320o from station B.How high is the plane above the ground?

C=/ *789–

456+

123

0 . =

5) a) Find the area of this shape.

127o

14 m

b) Find the perimeter of this shape.

C=/ *789–

456+

123

0 . =

6)Find 12 % of £6800 by doing only one sum.12

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Page 13: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Int 2 Maths Mixed Homework Exercise 12

1)Solve this system of equations.

7x – 5y = 35

9x – 4y = 45

C=/ *789–

456+

123

0 . =

2)Twenty people are asked about their favourite X factor judge. Here are the results.

C=/ *789–

456+

123

0 . =

1 Louis Walsh4 Simon Cowell7 Danni Minogue8 Cheryl Cole

Show this information in a pie chart.

3)Calculate x, y and zo.C=/ *789–

456+

123

0 . =

zo

x cm

y cm

12.5 cm

24 cm

10 cm

6)M is the centre of the circle and TCD is a tangent.Copy the diagram and mark in all the angles, given ACT = 50o

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

M

A

B

DCT

Page 14: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Int 2 Maths Mixed Homework Exercise 13

Graphs, Charts and Tables – check NAB

1)Central High School have 90 S3 students.30 travel to school by bus, 40 on foot, 15 on bike and the rest by car.

C=/ *789–

456+

123

0 . =

Show this information in a pie chart.

Page 15: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

Int 2 Maths Mixed Homework Exercise 14

3)The number of absences in a school were recorded each week for two months.

12, 8, 7, 19, 23, 25, 20, 14

Show this information in a box plot.

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Statistics

Page 16: HW 1General Revision HW 2Percentages HW 3Volume HW 4Linear Relationships

3) Factorise

a) p2 - 10p + 24

b) 2p2 + 11p - 40

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

4)The arc length of this shape is 8.16 cm. Calculate co to 4 significant figures.

co

8.7 cm

C=/ *789–

456+

123

0 . =

6)Find 12 % of £15 000 by doing only one sum.12

C = / *7 8 9 –

4 5 6 +

1 2 3

0 . =

Int 2 Maths Mixed Homework Exercise 5