Answers - Cambridge University Press & Assessment

Answers

Answers

Chapter 1

Do now

1a 9

b 90

c 500

d 1 000 000 e 30 100 f 23 999

2 a Ten b Sixty c Eleven thousand

d Seven hundred and three thousand

e Seventy-one thousand, one hundred and six 3 a 14, 25, 63, 72, 97 b 489, 607, 670, 4001

E c 3890, 3980, 8093, 8309

4 a $202.60 b $21.30

5 a 18 d 54

b 431 c 599 e 1260 f 1001

6a 7

b 13

c 18

L d 281

7 a 15

e 2998 f 96

b 14

c 63

d 630 g 210

e 630 h 200

f 90 i 330 j 330

8a 3 e 70

b3 f 10

c 10 d 22 + 1r g 10 h 7435

P Exercise 1A

1a 5

b 500

c 50

d 5000 e 50 000 000 f 500 000

g 5 000 000 h 50 000

2 a 28

b 643

c 24 003

d 25 203 e 300

f 2006

M 3 a Sixty-four

b Four hundred and fifty-seven

c One hundred and twenty-three thousand, four

hundred and fifty-six

d Four thousand and four

e Two hundred and eleven thousand, one

Ahundred and twelve

f Eight thousand and forty-five

g Thirty-four thousand, seven hundred and sixty

h One million, nine hundred and eighty

thousand, six hundred and fifty-three

4 a 38

b 5 000 060

c 1032 d 20 079

S5 a 267 b 20900

c 87 906 d 6 299 902

6 a i 101 ii One hundred and one

b i 311 ii Three hundred and eleven

c i 1 000 537

ii One million, five hundred and thirty-seven

d i 873 081

ii Eight hundred and seventy-three thousand

and eighty-one

e i 23 45 791

ii Twenty-three million, four hundred and

fifty-six thousand, seven hundred and

ninety-one

f i 710 892

ii Seven hundred and ten thousand, eight

hundred and ninety-two

7 a i 78 ii Seventy-eight

b i 210 ii Two hundred and ten

c i 10 000 599

ii Ten million, five hundred and ninety-nine

d i 541 069

ii Five hundred and forty-one thousand and

sixty-nine

e i 88 999 999

ii Eighty-eight million, nine hundred and

ninty-nine thousand, nine hundred and

ninty-nine.

f i 153 009

ii One hundred and fifty-three thousand and

nine

8a i 4

ii 40

iii 400

iv 400 000 v 4000 vi 40 000

bi1

ii 10

iii 100

iv 100 000 v 1000 vi 10 000

c i3

ii 30

iii 300

iv 300 000 v 3000 vi 30 000

9 a 348, 432, 456, 654, 843

b 606, 607, 660, 670, 706

c 123, 231, 312, 1231, 1321

d 12 700, 21 007, 21 700, 71 200

e 4568, 5486, 6485, 8465, 8645

f 1568, 1586, 1658, 1846, 1865

g 888, 973, 1001, 1021, 6000

h 1234, 3012, 10 004, 32 140

10 a 416, 412, 148, 143, 124

b 7614, 7461, 7416, 7164, 541

c 876, 854, 543, 435, 345

d 13 331, 13 313, 13 131, 13 113

e 8712, 8127, 7812, 7278, 7187

f 155 551, 155 515, 151 515, 151 155

11 a i 307 ii 730

b i 1367 ii 7631

c i 34 679 ii 97 643

d i 102 456 ii 654 210

494 Mathematics and Statistics Year 9

Cambridge University Press ? Uncorrected Sample Pages ? 2008 ? Brookie, Halford, Lawrence, Tiffin, Wallace

Answers

12 a 307 b 1367 3176

3167 6713

6731 1637

1376 3716

iii

9

13

6173 1673 3761 6137

5

4

1736 3617 6317 1763 3671 6371 c 34 679 36 479 34 697 36 497

8627 15 609 people

34 976 36 947 34 967 36 974

34 769 36 794 34 796 36 749 13 Game

Exercise 1B

1 a 712 b 304 c 793 d 485

e 881 f 480 g 848 h 941

i 1084 j 1531 k 3992 l 5881

E 2 a 9

b 31 c 437 d 291

e 305 f 192 g 90 h 117

i 1068 j 1224 k 1526 l 3165

3 a 64 b 228 c 1259 d 297

e 853 f 312 g 513 h 858

L i 261 j 2176 k 3370 l 4245

4 a 42 b 112 c 102 d 151

e 126 f 199 g 258 h 359

i 231 j 1017 k 2107 l 515

5 a 118 b 95 c 554 d 253

e 921 f 461 g 740 h 901

i 601 j 3484 k 4371 l 4693

P 6 a 12 b 71 c 536 d 608

e 243 f 206 g 207 h 481

i 389 j 911 k 409 l 856

7 a 395 b 33 c 624 d 922

e 894 f 498 g 989 h 206

i 255 j 1243 k 5416 l 1685

8 a 77 cars b 60 cars

9 a 146 359 b 5087 c 337 253 d 57 457

M e 10999 f 626

10 a $12.50 b Week 4, $175

c $150

d $787.50

11 a 235 b 937 c 1099 d 49911

e 9710 f 980

12 161 cows

A 13 $3050

14 a i

1

ii

6

64

12

325

534

Sb One of the possible solutions for each part is

Exercise 1C

1 a 64 e 115 i 480

2 a 144 e 1116 i 864

3 a 187 e 407 i 1056

4 a 80 e 345 i 7200

5 a 693 e 486 i 216 m 1179

6a 4 6 8 12 14

b 102 f 225 j 156 b 288 f 675 j 351 b 286 f 825 j 429 b 162 f 1050 j 2224 b 96 f 594 j 1179 n 192

13 4 12 6 16 8 24 12 36 14 42

c 168 d 224 g 96 h 216 k 1000 l 192 c 126 d 288 g 693 h 486 k 1179 l 2169 c 154 d 352 g 968 h 594 k 1375 l 3916 c 272 d 308 g 576 h 1350 k 4750 l 5754 c 576 d 968 g 1350 h 96 k 4750 l 1375 o 3916 p 2169

57

9

20 24 36

30 42 54

40 72 72

50 84 108

70 98 116

b

5 10 15 20

2 10 20 30 40

3 15 30 40 60

4 20 40 60 80

5 25 50 85 100

7 35 70 105 140

7 a 300 b 1080 c 806 d 14014 e 13 298 f 3906

8 a 12 555 b 2596 c 2880 d 9 a 25 3 b 9 7 c 18 9 d 10 a = 2, = 4, = 6, . = 3

b = 7, = 3, = 4, = 5 11 Answers will vary.

25 50 85 110 120 175

4992 40 6

given.

i

1

ii

5

Exercise 1D

97

5

6

2843

8 3 49

7 2

16

1a 5 e6 i 12

b3 f 12 j 36

c9 g 12 k 12

d8 h 12 l8

Answers 495

Cambridge University Press ? Uncorrected Sample Pages ? 2008 ? Brookie, Halford, Lawrence, Tiffin, Wallace

Answers

2 a 18 54 36 42 108

1 18 54 36 42 108

2 9 27 16 21 54

3 6 16 12 14 35

63

9

6 7 18

92

6

4 5 22

8a 7

b 10 c 6

d5

e 23 f 18 g 3

h 17

9 a 81 ? 9 b 90? 9 c 18 ? 3 d 115 ? 5

10 $157

11 68 g

12 $96.50

13 Order does matter when dividing but it does not

matter when multiplying.

3

4 5 6

b

100 200 40 120 500

10 10 20 4 12 50

2 50 10 20

6 250

5 20 10 8 20 100

20 5 10

2

6 20

1 100 200 40 120 500

a THIS 0

E 8

64 then

64 ? 8

0

8

L 4

8 ? 2

NOT THIS 0

8 then

P 4

8 ? 2

0

64

16 32 48

M 64 ? 4

b Order is important c i 5 ii 1 When a whole number greater than or equal to one is divided by 1, the answer is always that whole number.

Aii When zero is divided by any number the answer is always zero. a Quotient: 4, 8, 16, 32, 64, 128, 320, 3200,

32 000, 320 000, 3 200 000 b As the divisor becomes very close to zero

Svalue, the quotient becomes extremely large.

Exercise 1E

1 a 72 b 63 c 97 d 78

e 91 f 206 g 179 h 104

2 a 16 b 112 c 30 d 156

e 114 f 60

g 34 h 36

3 a 245 b 65

c 265 d 203

e 169 f 62

g 58 h 199

4 91 km

5 $23

6 23 m, remainder 11 m

7 26 weeks

9 ? 10: the 6 becomes 6 tens instead of 6 hundreds:

? 100: the 6 becomes 6 ones

? 1000: the 6 becomes 6 tenths

Exercise 1F

1 a 3900 b 156 000 c 1500

2a 8

b 802 c 56 d 801

3 a 2 960 b 18 300 c 75 000

d 3 200 000

e7

f 90

g5

h 12

i 95

4 $190

5 $7

6 $79 000

7 11427 m 8 $5742

Exercise 1G

1 1166 members

2 $252

3 $565

4 a 79 points b 75 points

5 a $45

b $2250 (actual cost $2340)

6 54 km

c Infinity (or undefined)

7 $98 a day

7 a three and 1 remainder, 314

8 Angela $50, Kathy $25

b five and 1 remainder, 514 c four and 1 remainder, 416

9 16 days

d four and 2 remainder, 427

e ten and four remainder, 1045

f sixteen and 1 remainder, 1613

496 Mathematics and Statistics Year 9

Cambridge University Press ? Uncorrected Sample Pages ? 2008 ? Brookie, Halford, Lawrence, Tiffin, Wallace

Answers

Exercise 1H

Review 1 five thousand

2 1 000 706

1a 9

b 25

c 49 d 64

3 50

e 27 f 16

g 1000 h 32

4 48

2 a 2187 b 4096 c 10 000 d 6 561

5 multiply, times, lots of

e 169 f 390625 g 1

h 100 000

3 a 7 b5

c4

d 10

4 a 2 b3

c2

d 100

5 a 21 b 25

c 40 000 d 145

e 27 f 1717 g 3125 h 22

6 25m2

7 a 200m b 40 runs 40 000m2

Exercise 1I

E 1 a 17 b 10 c 23

d6

e4

f1

g5

h9

i 19

j9

k 19 l 20

2 a 25 b 13 c 10

d 45 e 14 f 33

L g 7

h 10 i 12

j0

k0

l0

3a 9

b 14 c 44

d9

e 10 f 11

g7

h 11 i 3

j 13 k 7

l2

P 4 a 38 b 11 c 6

d2

e6

f 16 g 13 h 9

i 22 j 4

k 58 l 74

m 31 n 0

o 53 p 14

5 a (3 1) 5 20 b 7 4 3 19 c (20 2) 6 3, or (20 2) 3 6

d 13 18 9 11

6 b, c, d, e need brackets

M b (3 5) 2 16 c (14 8) ? 2 3

d 12 ? (6 4) 6 e (12 5) 2 34

Exercise 1J

1 a 30 b 40 c 30 d 30

Ae 800 f 800 g 900 h 900

i 1000 j 1000 k 2000 l 2000 m 3000 n 4000 o 6000 p 7000 2 Some answers may vary a 100 b 250 c 340 d 360

Se 440 f 880 g 480 h 470

6 three and 26 remaining or 32467 7 206 8 1268 9 60 10 221 11 a fifty b five c five hundred

d fifty thousand 12 a two million, three hundred and forty-seven

thousand, two hundred and ten b three thousand and seven c two hundred and three thousand, two

hundred and forty-four 13 1253, 2351, 2513, 2531, 3521, 5123 14 456, 465, 546, 564, 15 a 178 b 378 c 30 699 16 1 3 5

4 4 12 20

6 6 18 30

17 a 54 18 675 g

b 11138

19 25 matches

20

250

2 3

km

21 a 11 b 5

c 13

d4

Extended-response questions

1 a 9 pens b 38 pens c 112 animals

2 a 8 rolls of film

b 252 photographs

c $50 d $153 e $203

Chapter 2

Do now

1 a 155 b 14 c 40 d 2720 e 2 596 000 f 4815 g 460 000

h 5640 2 a 48 mm 21 mm b 19 mm 19 mm

c 24 mm; rectangle

3 a 3000 m b 2000 cm c 14 000 000 mm

4 a 6m

b 2 cm

c 2 km

5 a 8.15 6a

b 7.45

c 2.20

b

i 320 j 70 k 60 l 160

m 3600 n 1200 o 700 p 18 000

q 12 000 r 27 000 s 9 t 20 u 2

3 Approximately 230 000 people

c

4 Approximately 1900 years

5 Approximatelty 960 000 each year

6 Approximately 6 minutes

Answers 497

Cambridge University Press ? Uncorrected Sample Pages ? 2008 ? Brookie, Halford, Lawrence, Tiffin, Wallace

7a

Exercise 2C

Answers

1000 800

850 mL

1 a 10 cubic units c 18 cubic units

b 12 cubic units

2 a 32 cubic units

b 32 cubic units

400

c 32 cubic units

100

bi

ii

0 kg

0 kg

4 kg

1 kg

4 kg

1 kg

3 k

2 kg

3 k

2 kg

E 100 1 kg 2 kg 3 kg 4 kg 5 kg

Exercise 2A

L 1 a 24 barleycorns b 2 cubits

c 144 cubits

d 120 rods

e 72 cubits

f 720 barleycorns

g 50 rods

h 150 fingers

i 6 ropes

j 2 rods

2 a 48 digits

b 24 palms

c 50 000 feet

d 37 500 feet

P e 24 digits

f 5 feet

g 1 mile

h 4 miles

i 96 digits

j 2 leagues

k 4 paces

l 3 cubits

3 a 9 feet

b 72 inches

c 72 inches

d 99 feet

e 240 rods

f 32 furlongs

g 4 feet

h 3 feet

M i 4yards

j 2 rods

k 4 miles

l 132 000 feet

4 a i Answers will vary. ii Answers will vary.

b i, ii Imperial foot does not vary; Roman foot

depends of size of digit.

iii Babylonia is distance from elbow to

A Exercise 2B

1 a 80 mm

Sc 110mm

b 120 mm d 150 mm

3 a mL b kL c L

d mL e kL f ML

g mL h L

iL

4 500 mL, 1L, 2000 L, 200 kL, 15 ML

5 a 27 mL

b 240 mL

6 a 360 mL

b 330 mL c 3 L

7 a kg b mg c g

d tonne

e tonne f kg

g kg

h mg

ig

j tonne k kg

lg

8 a 5000 g b 45 000 g

c 2 000 000 g

d 2 000 000 e 5 000 000 f 2 000 000 000

9 2830 mg, 2830 g, 283 kg, 28 t

10 32 624 g

11 12 kg

12 Answers will vary.

13 Answers will vary.

Exercise 2D

1 a 36 months b 364 weeks c 66 months

d 60 years e 3 years f 7 years

g 72 hours h 336 hours i 0.822 years

j 120 min k 270 min l 7.5 days

m 168 days n 120 s

o 86 400 s

p 5 centuries q 7 decades r 5 millennia

2 11 years

3 a Wendy

b 223 days

4 a 9.10

b 10.26

c 3.40

5 a 2 h b 3 h 37 min c 10 h 26 min

d 18 h 43 min

6 a 8.45 pm b 4.55 pm c 3.39 am

d 11.01 am

7 3.50 pm

8 1 h 7 min

9 2 h 45 min

10 8.54 pm

11 1 h 10 min

12 1705 h

13 a 0400 hours b 0715 hours c 1400 hours

d 1620 hours e 1950 hours f 2130 hours

14 a 6.00 am b 8.00 am c 6.30 pm

e 184 mm

f 136 mm

d 12.50 pm

2 a km

b mm c m d cm

15, 16 Answers will vary.

e km

fm

g m h km

i km

jm

3 Answers will vary.

4 a mm b m

c m d cm

5?8 Answers will vary.

498 Mathematics and Statistics Year 9

Cambridge University Press ? Uncorrected Sample Pages ? 2008 ? Brookie, Halford, Lawrence, Tiffin, Wallace

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