Summer

Homework

Answers

Year 9; worksheets 11, 13, 16,

22, 23, 29, 30, 33, 39, 42, 48,

63, 67, 68, 69, 77 and 78

ONLY

Worksheet 1 Worksheet 2 Worksheet 3 Worksheet 4 Worksheet 5

1a -9, -6, -2, 4, 5

b -7, -2, 0, 1, 6

c -7, -5, -3, -2, 1, 4

d -8, -4, -2, 0, 1, 2

2a 3, 1, 0, -4, -7, -8

b 6, 2, 0, -2, -3, -5

c 6, 2, 0, -1, -2, -4

d 8, 3, 2, -1, -3, -5

3a -4

b -4

c -3

d 6

4a -15

b -3

c 10

d -10

e 24

f -24

g -21

h -5

i 5

j -0.1

5 10°C

6 -8°C

1 12 000

2 42 000

3 150 000

4 560 000

5 2 400 000

6 20 000

7 300

8 6

9 7

10 80

11 60

12 2400

1 36.5

2 280

3 4.73

4 0.582

5 6810

6 37

7 0.021

8 0.00073

9 4863

10 5270

11 0.0038

12 0.47

13 36.4

14 0.47

15 0.0032

16 0.0006

17 20.4

18 60.8

19 0.003

20 30

21 0.0073

22 7300

23 0.068

24 6.8

1 16.34

2 33.18

3 6.37

4 3.87

5 0.3192

6 12.81

7 4.2

8 193.5

9 £5.29

10 £7.62

1 14994

2 36162

3 41808

4 29472

5 32 r 12

6 52 r 1

7 54 r 4

8 216 r 10

5

6

3.06681

9.22087

8 0.000071

9 3.6 x 102 7 0.5

10

2.4 x 103

8 0.125

11

4.82 x 105

12 3.7 x 10-1

Worksheet 6 Worksheet 7 Worksheet 8 Worksheet 9 Worksheet 10

1 Correct 1 700

2 600

3 700

1 56.869

1 13.69

1 63 000

2 4200

2 436

3 £150

4 188

5 674

6 623

7 £2100

8 £5600

4 50

5 30

6 0.07

7 0.03

8 1

9 180 000

10 63

11 24

12 0.4

13 200

14 300 000

15 1 000 000

16 20

2 44.2974

3 -16.8714

4 31.3593

5 18.0748

6 13.0210

7 -0.223716

8 921.320

2 1306.91

3 8.60233

4 6.58084

9 244.737

10 -367.712

3 0.0372

4 0.000263

5 5 100 000

6 430

7 0.28

13 6.82 x 10-3

14 7.2 x 10-2

15 3.8 x 104

16 3.5 x 10-4

17a 1.01 x 106

b 1 006 200

18a 6.54 x 106

b 6 544 000

19a 1.70 x 105

b 169 920

20a 4.09 x 106

b 4 086 490

21a 1.79 x 10

b 17.9167

22a 3.17 x 108

b 317 215 000

Worksheet 11 Worksheet 12 Worksheet 13 Worksheet 14 Worksheet 15

1 8 13/15

2 9 7/12

3 4

4 5 39/40

5 8

6 43 1/5

7 18 3/4

8 16 5/8

9 3/4

10 2/3

11 8/17

12 25/76

13 3/8

14a 5/16

b 11/16

15a 144

b 120

c 1/10

1 0.28

2 0.34

3 0.2

4 0.06

5 0.328

6 0.0652

7 0.206

8 0.003

9 52%

10 78%

11 60%

12 63.2%

13 8.4%

14 7%

15 30.8%

16 0.2%

1 1/25

2 17/50

3 51/200

4 7/1000

5 7/25

6 3/5

7 1/20

8 18/250

9 0.4

10 0.375

11 0.175

12 0.2125

13 18.75%

14 80%

15 8.75%

16 72.5%

1 2:3

2 8:9

3 11:7

4 16:9

5 1:3/8

or 1:0.375

6 1:12/5

or 1:2.4

7 9/4:1

or 2.25:1

8 13/20:1

or 0.65:1

9a 140 km

b 250 km

c 3.6 cm

d 82 cm

10a 2250 ml

b 45 g

c 7 1/2

1a 40

b 96

2a 200 ml

b 80 ml

c 120 ml

d 1400 ml

e 700 ml

f 280 ml

3a £1600

b £2000

c £800

d 5

Worksheet 16 Worksheet 17 Worksheet 18 Worksheet 19 Worksheet 20

1 30%

1 0.72

2 7.68

1 2.33.72

2 40%

3a 53%

b 47%

4a 5%

b 3.2%

c 1.2%

5 7%

6 35%

3 47.2

4 34.24

5 65.55

6 32

7 12 4/5

8 8

9 56

10 15

11a £26 250

b £28 941

12 £376

13a £32

b £5.60

14a £10 200

b £7369.50

1a

b 3N + 1

ci 31

cii 163

d 27

2a 23

b 4N + 3

ci 63

cii 115

3a 26

b 6N - 4

3ci 116

3cii 320

1a 121, 144

b Square numbers

2a 66, 78

b Triangle numbers

3a 89, 144

b Fibonacci

sequence

4a 1331, 1728

b Cube numbers

5a 2, 3, 7, 11

b 1, 2, 3, 4

c 3, 9, 24

d 1, 4, 9, 64

e 1, 64

6a 2, 7, 29

b 1, 2, 7

c 7, 28, 343

d 1, 4, 25

e 1, 27, 343

2 22.3.52.7

3a 42

b 132 300

4 3.52.72

5 2.32.72

6a 147

b 22 050

7a 1/4 or 0.25

b 5/2 or 2.5

c -1/8 or -0.125

Worksheet 21 Worksheet 22 Worksheet 23 Worksheet 24 Worksheet 25

1 £(x + 3)

2a (k + 8) kg

b (2k + 8) kg

3a 2W

b 2W + 7

c 6W

d 6(2W + 7)

or 12W + 42

4a LW

b 2(L + W)

or 2L + 2W

5 £10B

6 M – N

7a Bx

b y/x

8 £PV

1 6

2 24

3 9

4 0

5 8

6 14

7 -6

8 12

9 20

10 27

11 -10

12a 6

b 8

c -4

13 20

1 a= 5

2 a= 8

3 a= 6.5

4 a= -8.4

5 a= 11.75

6 c= 100

7 d= 36

8 x= 6.5

9 a= 5.2

10 y= 4

11 a= -9

12 a= 0.75

13 a= 36

14 a= 50

1a 3N - 4 = 17

b N=7

2a 15C = 105

b 7

3a (30 + 0.25m)

b £101.50

c 363

1 12.4

2 4.9

3

4

3

3

3

A

+

4C

10A

Worksheet 26 Worksheet 27 Worksheet 28 Worksheet 29 Worksheet 30

1 5.48 1 y = x2 1 15a9 1 2(5a + 4)

2 8.94

3 324

4 0.04

5 1.83

6 30

7 1.89

2 y = x

3 Y = A - B

4 Y = C - 2A

5 Y = 4C - 6A

6 Y = 3C - 5A

7 Y = 8A

8 Y = 5AC

8 - 6A

1 1.33119

2 -37.0694

3 3.28210

4 1.64634

2 12a8c3

3 32a4cd2

4 a12

5 2a6c3

6 21a - 28

7 8y5 + 12y4

2 3(4a - c)

3 2(5a - 4c)

4 5(5a - 4c + 3)

5 a3(3a + 2)

6 3a3(2a2 + 5)

7 2a(5a4 + 2)

9 Y = 3

8 65

10 Y = 5C - 4

11 Y = 2AC

5 0.948800

8 -12a2 + 9ac2

9 6a7 + 10a5

8 7ab(a + 2)

9 21.3

or 211/3

12 Y = ( B

)2

6 1.49231

10 12a2

- 14a - 10

9 5a3c(4c - 5a)

10 112

13 Y = AC 11 10a2 + 24a - 18

10 10ad(4c - 3a)

11 1.6

or 13/5

12 0.25

or 1/4

14 Y = A

15 Y = 3C

16 Y = C A

D

7 3.21159

8 197.112

12 30a2 - 32a + 8

13 9a2 - 12a + 4

11 4a(3a3 + 2a + d)

12 2(3a6+2c6+d3)

x -4 -3 -2 -1 0 1 2 3 4

y 4 0.5 -2 -3.5 -4 -3.5 -2 0.5 4

Worksheet 31 Worksheet 32 Worksheet 33 Worksheet 34

1 (x + 3)(x + 5)

2 (x + 2)(x + 9)

3 (x - 2)(x - 7)

4 (x - 4)(x - 5)

5 (x + 8)(x - 2)

6 (x - 4)(x - 3)

7 (y + 1)(y - 10)

1 x= -1

x= -9

2 x= 2

x= 8

3 y= 3

y= -5

1 x=2 1 B

y=3 2 E

3 A

4 F

5 D

6 G

7 C

2 x=3 8 H

y=1

3 a=2

c=4 9

y

8 (a + 8)(a - 3)

y= -5

4 x=-2

x 4 x

3

2

y=4

x

-4 -3

1

-2 -1

0

-1

x

x

1 2 3 4

x -2 x

-3

x x

-4 x

5 x=-1

y=4

Worksheet 35 Worksheet 36 Worksheet 37 Worksheet 38 Worksheet 39

1 x=2

y=3

2 x=2

y=-1

1a -1/2

b y = -1/2 x + 3

2a 2

b y = 2x + 1

3a -3

b y = -3x - 3

1 n

4a 1/3 2 f

b y = 1/3 x + 1 3 a

4 m 5a 1/2

5 q b y = 1/2 x - 1

6 c

7 p

8 g

9 k

1a 13.00

b 20 km

2 Twice

3 1000

4a 11.30 and 13.30

b Steepest gradient

5 3 hours

6 Manchester

7 50 km

8a 7.5 km/h

b 10 km/h

9a 26 2/3 km/h (approx)

b 17 km/h (approx)

1 x ≤ 4

2 x > 6

3 -5 < x < 5

4 2 < x < 8

5 x ≥ -5

6 x < 8

7 x < -1

8 y ≥ 2

9 x < 5

y ≥ 2

y ≤ x

Worksheet 40 Worksheet 41 Worksheet 42 Worksheet 43 Worksheet 44

A 60°

B 217°

C 319°

D 113°

E 120°

F 23°

1a Right angle

b Reflex

c Acute

d Reflex

e Obtuse

2a 90°

b 20°

1a 80°

b 100°

2c 120°

3d 50°

4e 40°

5f 105°

g 70°

6h 30°

7i 65°

j 115°

k 115°

l 65°

m 115°

n 65°

o 115°

8a Corresponding

b Alternate

1a 72°

b 108°

c 540°

2a 36°

b 144°

c 1440°

3 24

4 30

Accept ± 2o

1 021o

2 201o

3 153o

4 333o

5 056o

6 236o

7 132o

8 312o

9 294o

10 114o

11 029o

12 209o

1

Base

x

F

x

Worksheet 45 Worksheet 46 Worksheet 47 Worksheet 48 Worksheet 49

1a Triangular prism

1 Order 4

b Tetrahedron or

triangular-based

pyramid

c Square-based

pyramid

2

(Accept any

correct net)

1 Parallel

Equal length

2 2

3

3 Trapezium

1a 4.8 cm

b 6.25 cm

2a 12.5 cm

b 4.8 cm

2 No rotational

symmetry

3 Order 2

4 Order 5

a ✔ 4 Equilateral

b ✔

c ✔

d ✔

e ✔

f ✔ 5 Isosceles

3

3a 9.6 cm

b 11.25 cm

5 Order 6

6 Order 2

Worksheet 50 Worksheet 51 Worksheet 52 Worksheet 53 Worksheet 54

1a

b Hexagon

2a

b Octagon

1a

b Pentagon

2a

b Equilateral

triangle

1A’ (7, 5)

B’ (7, 11)

1a (7, 1)

b 2

3a

b Isosceles triangle

C’ (10, 11)

D’ (10, 5)

2E’ (5, 2)

F’ (9, 4)

G’ (9, 2)

3E” (0, 12)

F” (6, 15)

G” (6, 12)

2a (2, 2)

b 1/3

3a (10, 10)

b 3

4a (5, 9)

b 2

1A’ (6, 11)

B’ (8, 11)

C’ (8, 9)

2D’ (14, 14)

E’ (15, 14)

F’ (15, 12)

G’ (14, 12)

R (5, 2) 7 P (4, -3)

Q (4, -4)

R (6, -4)

8 P (-3, 3)

Q (-3, 2)

R (-1, 2) 7 170 cm

9 P (-6, -2)

Q (-6, -3)

R (-4, -3)

Worksheet 55 Worksheet 56 Worksheet 57 Worksheet 58 Worksheet 59

All answers are

approximate

1 38.2

2 0.47

1 35-100 kg

1a 15 cm

b 20 cm

2 150 cm

3 7200

4 7400

5 0.873

6 780

7 38

8 0.478

9 810

2 1-2 m (140-

200 cm)

3 5-20 cm

4 10-50 g

5 250-500 ml

6 1-3 l

1a 422.5 g

b 421.5 g

2a 1.65 m

b 1.55 m

3a 33.5 cl

b 32.5 cl

4a 0.25 kg

1 5 right

5 down

2 14 right

2 up

3 10 left

2 up

4 5 left

1 down

5 5 right

1 up

6 P (3, 3)

Q (3, 2)

3 32 km

4 100-120 g

5 2.5-3 kg

6 54 litres

10 80

11 7.846

12 8

13 324

14 71

15 0.3478

16 3.684

17 300

18 3800

19 78

20 53

21 27.4

22 3000

23 7000

24 200 000

25 3620

7 Kilometres

8 Tonnes

9 Millilitres (or

centilitres or cc)

10 Kilograms

11 Litres

12 Grams

13 Centimetres

14 Metres

15 Millimetres

16 5-7m

b 0.15 kg

5a 125.5 g

b 124.5 g

6a 7.85 t

b 7.75 t

7a 3.75 m

b 3.65 m

8a 28.75 l

b 28.65 l

9a 3.805 m

b 3.795 m

10a 32.05 g

b 31.95 g

11 570.5 cm

12 877.5 km

Worksheet 60 Worksheet 61 Worksheet 62 Worksheet 63 Worksheet 64

1 76.1 km/h

or 1.27 km/min

2 316 km/h

or 5.26 km/m

3 288.6 km

4 44.8 km

5 1.15 g/cm3

6 44.28 km/h

7 27.648 g

1 8h 37 min

2 04.39

3 12.47

4a 2h 32 min

b 2h 32 min 10 sec

5a 1h 20 min

b 1h 19 min 42 sec

6 86 400

1a 25.1 cm

b 50.3 cm2

2a 38.6 cm

b 119 cm2

3a 13.8 cm

b 15.2 cm2

4a 46.5 cm

b 172 cm2

5 1 860 000 cm2

or 1.86 m2

6 13.5 cm

7 16.0 cm

8 1.46 cm

1a 36 cm2

b 24 cm

2a 54 cm2

b 36 cm

3 57 cm2

4a 5 cm

b 236 cm2

5 10 cm

6 0.672 m2 or

672 000 cm2

1 288 cm3

2 420 cm3

3 384 cm3

4 3360 cm3

or 0.00336 m

Worksheet 65 Worksheet 66 Worksheet 67 Worksheet 68 Worksheet 69

1a 64 cm

b 95 cm2

2a 28 cm

b 38 cm2

3a 120 m2

b 6 m2

1 Length

2 Area

3 None

4 Length

5 Volume

6 Volume

7 Area

8 Volume

9 Area

10 Area

11 Length

12 None

1 8.27 cm

2 5.89 cm

3 9.78 cm

4 6.91 cm

5 5.20 m

6 12.5 cm

1 a = 20.6°

2 b = 47.3°

3 c = 39.9°

4 d = 41.5°

5 e = 39.6°

6 f = 27.0°

g = 63.0°

7 h = 33.6°

8 i = 36.9°

1 a = 3.36 cm

2 b = 9.46 cm

3 c = 6.95 m

4 d = 6.98 cm

5 e = 3.26 cm

6 f = 22.9 cm

7 g = 3.50 m

8 h = 1.95 cm

i = 5.99 cm

Worksheet 70 Worksheet 71 Worksheet 72 Worksheet 73 Worksheet 74

(Diagrams are not

drawn to scale)

1

. A

2 cm

Teachers should make

their own decisions

based upon the

student’s reasoning.

1 Questionnaire

2 Experiment

1a 25°

2 x 3 Observation

b 3381 m

c 7250 m

2a 17.4 m

b 26.5 m

A B

1 cm

x

3

Y

Z

4

1 cm

Teachers were

only given a

limited choice.

2 The question is

subjective. What X

does ‘how much’

mean?

eg Do you like

sport?

3 How will the

results be

recorded and

interrelated?

eg Did you eat

chocolate

yesterday?

4 Questionnaire

5 Experiment

6 Questionnaire

7 Experiment

8 Questionnaire

9 Experiment

10 Questionnaire

All answers are

approximate

1 12.5

2 15

3 3

4 180

5 40

6 50

7 Bere 64 inches

160 cms

Charlie 15 hands

150 cms

Deva 13 hands

52 inches

1a

Kilograms Tally Frequ ency

50 – under 60 3

60 – under 70 6

70 – under 80 8

80 – under 90 3

b

9

8

7

6

5

4

3

2

1

0

50 60 70 80 90

Weight (kilograms)

2a

Seconds Tally Frequency

0 – under 5 2

5 – under 10 3

10 – under 15 6

15 – under 20 4

20 – under 25 1

b

6

5

4

3

2

1

0

5 10 15 20 25

Number of seconds

3a 3.5

b 6

4a

6

b 5

5a

21

b 24

Fre

qu

en

cy

Fre

qu

en

cy

Fre

qu

en

cy

Worksheet 75 Worksheet 76 Worksheet 77

1a 8

b 6

2a 5

b 7

1a 8 x 7 x 6 x 5 x 4 3 x x x 2 x x 1 x 0 x x

150 175 200 225 250 275 300

Distance (yards)

6 5

7 7

b Professionals generally hit the ball farther than

amateurs or any other sensible comparison.

1a 0

0

5

13

34

50

Worksheet 78 Worksheet 79 Worksheet 80 Worksheet 81 Worksheet 82

1a 7.2

b 9

2a 25

b 27

3a 27.375

b 38

4a 34

b 44

5 9

6 2.0625

1 Range 9

Mean 5.7

Range 4

Mean 5.7

Any sensible

comparison

2 Range 50

Mean 34.875

Range 15

Mean 12.5

Any sensible

comparison

1a 100-149

b 148 approx

(accept 145-149)

c 152 approx

(accept 150-154)

2a 400-499

2b 425 approx

(accept 410-440)

c 415 approx

(accept 413-418)

1a 3

8

20

38

50

60

b Check points

(100, 20)

(120, 50)

104 approx

116 approx

96 approx

20 approx

18-20 approx

Check points

(110, 13)

(120, 34)

116 approx

122 approx

109 approx

13 approx

Any sensible

comparisons

x

x

x

x

x

x

x x

x

x

x

x

x

x

x x

x

x x

Ph

ysi

cs

Co

ok

ing

A

rch

ery

Rain

(m

m)

Worksheet 83 Worksheet 84 Worksheet 85

1 a 10

9

8

7

6

5

4

3

2

1

1a

7 x

6 x x

v

5 iii

4

3 i

2

ii

1 iv

0

x x

Line of best fit (approx)

x

x

x

x x

1a 9

b 18°

c 13

d 117°

0

1 2 3 4 5 6 7 8 9 10

Maths

1 2 3 4 5 6 7 8 9 10

Sunshine (hours)

b Negative correlation

10 x x

2 a 9

8 x x

7 x

6

5

4 x x

3 x

2 x

1

0

1 2 3 4 5 6 7 8 9 10

Maths

b See above

c Negative correlation or more sunshine

less rain or less sunshine more rain

All answers approximate (check dotted lines

on scatter diagram)

di 7

b No correlation

10

3 a 9

8

7

6

5

4

3

2

1

0

1 2 3 4 5 6 7 8 9 10

Maths

ii 9

iii 4

iv 1

v 5.5

2a 9

b 105°

c 24

d 3

e 45°

b Positive correlation

2

Worksheet 86 Worksheet 87 Worksheet 88 Worksheet 89

1

1 Men 130° 0 1

Women 105°

Boys 85° 2

1

1 Experimental

1 evidence

2 Experimental

evidence

Girls 40° 0 2 1

3 Equally likely

outcomes

1a No – correct

explanation

3

1

0 2 1

4 0

2 Cows 96°

Horses 60°

Pigs 120°

Sheep 84°

5a

0

b

0

c

0

1

2 1

4 Equally likely

outcomes

5 No – correct

explanation

1

2 1

1

2 1

6 Yes – correct

explanation

1

2 1

b No – correct

explanation

(The teacher may

accept rounded

values)

Size 6 2000

Size 7 14 000

Size 8 34 400

Size 9 40 800

Size 10 64 000

Size 11 33 600

Size 12 11 200

Worksheet 90 Worksheet 91 Worksheet 92 Worksheet 93

1 HTH

HTT

THH

THT

TTH

TTT

2 + 1 2 3 4

1 2 3 4 5

2 3 4 5 6

3 4 5 6 7

1a 6/15 = 2/5

b 5/15 = 1/3

c 4/15

d 11/15

1 125/216

(0.579)

2 15/16

(0.9375)

3a 1/6

b 2/6 = 1/3

4 5 6 7 8 e 10/15 = 2/3 c 4/6 = 2/3

f 15/15 = 1

g 0

d 2/6 = 1/3

e 0

2a 2/16 = 1/8

b 6/16 = 3/8

c 5

3 0.02

2a 4/10 = 2/5

b 2/10 = 1/5

c 6/10 = 3/5

d 8/10 = 4/5

e 3/10

f 6/10 = 3/5

g 0

1 TTHT

TTTH

TTTT

a 0.0625 or 1/16

b 0.25 or 1/4

c 0.375 or 3/8

d 0.25 or 1/4

e 0.0625 or 1/16