Nelson international maths pupil book 3 answers

Page 1

Student Book 3

Nelson International Maths

the units place c) there should be a 1 in the hundreds, 2 in the tens and 2 in the units d) the tens and units are missing e) the 5 units are missing f) the tens and units are wrong should be 3 tens and 1 unit g) there should be a 1 in the tens place and a 1 in the units place h) the tens and units are wrong, should be 1 in tens place and 1 in units place i) there should be no hundreds, a 1 in the tens place and 0 in the units place.

Revising place value to 100 (p5) 1 a) 20 b) 6 c) 10 d) 90 2 10

90

20

50

1

9

2

5

4

80

9

100

Answers

3 54 counters Place value to 1000 (p6)

2 Student activity.

H

T

U

1

1

5

7

Number lines (p9)

2

1

9

0

3

1

4

5

1 a) 300 b) 500 c) 700 d) 650 e) 950 f) 470 g) 490 h) 500

4

1

2

0

5

1

0

1

6

3

2

0

7

2

6

1

8

4

5

3

Making three-digit numbers (p7) 1 Practical activity using arrow cards. Numbers are: a) 154, one hundred and fifty-four b) 140, one hundred and forty c) 199, one hundred and ninety-nine d) 113, one hundred and thirteen e) 200, two hundred f) 185, one hundred and eightyfive g) 173, one hundred and seventy-three h) 125, one hundred and twenty-five i) 108, one hundred and eight 2 Practical activity using arrow cards. Value of red digits: a) 20 b) 200 c) 300 d) 30 e) 90 f) 9 g) 7 h) 700 i) 200 j) 20 k) 40 l) 4 Spot the mistake (p8) 1 a) there should be 3 in the units place b) there should be no hundreds place and 0 in

2 a) Numbers from 300 to 400 in divisions of ten b) students to show each other, should be on fifth small marking c) 310, 330 and 390 d) should be half-way between last marking and 400. Ordering numbers (p10) 1 11, 26, 48, 62, 89, 99, 121, 163

75, 86, 104, 121, 125, 133, 139, 165

111, 121, 132, 133, 139, 144, 157, 194

68, 75, 93, 112, 222, 427, 603, 862

127, 139, 149, 170, 276, 504, 631, 890

103, 104, 130, 201, 261, 550, 702, 987

162, 82, 63, 51, 35, 29, 21, 17

145, 135, 92, 52, 42, 37, 21, 14

173, 125, 108, 99, 61, 47, 36, 22

961, 850, 814, 753, 740, 607, 599, 429

399, 395, 386, 333, 311, 270, 166, 115

1000, 959, 941, 883, 840, 705, 666

2

1


Student Book 3

Nelson International Maths 3 Marie: 498/500; 502/503 Josh: Any number smaller than 345/344; 348/350 Sammy: 401/402; 404/409 Nika: 699/701; 703/709 Malika: 811/829; 812/829 (second answer depends on the first one) Sheldon: 901/907; 909/911

Answers

4 vertices b) cuboid: 3 faces, 3 edges, 1 vertex triangular prism: 2 faces, 1 edge, 0 vertices square-based pyramid: 3 faces, 3 edges, 1 vertex OR triangular-based pyramid: 1 face, 1 edge, 0 vertices 3 Clue 1: cylinder Clue 2: cube Investigating 3D shapes (p14)

Comparing numbers (p11)

1 a) rectangle b) 6

1 a) 721 > 127 b) 653 > 356 c) 421 > 124 d) 982 > 289 e) 764 > 467 f) 841 > 148

2 a) circle b) 1

2 Students’ own work. 3 a) 167 < 761 b) 349 < 943 c) 226 < 662 d) 135 < 531 e) 378 < 873 f) 122 < 221 4 Students’ own work. 5 a) 201, 202, 203, 204, 205, 206, 207, 208, 209 b) 186, 187, 188, 189 c) 935, 936, 937, 938, 939, 940, 941, 942 Recognising 3-D shapes (p12) 1 book, CD case, box of chocolates, etc 2 canned vegetables, canned soup, tube of sweets, can of drink, tub of vitamins, etc

3 a) square b) square c) 6 d) 8 4 a) square b) triangle c) 5 d) 5 5 a) circle b) 0 6 a) triangle b) 2 c) rectangle d) 3 e) 9 Nets of cubes (p15) 1 a) D and G b) Discussion c) It only has five faces, not 6 2 Students own diagrams. Counting on and back (p16) 1– 4 Oral activity. 5 a) 12, 14, 16 b) 20, 19, 18 c) 15, 18, 21 d) 11, 13, 15 e) 40, 45, 50 f) 50, 40, 30

5 Children’s own work.

6 a) (+4) 4, 8, 12, 16, 20, 24, 28, 32 b) (−3) 12, 9, 6, 3, 0, −3, −6, −9 c) (−10) 95, 85, 75, 65, 55, 45, 35, 25 d) (−3) 18, 15, 12, 9, 6, 3, 0, −3 e) (+10) 0, 10, 20, 30, 40, 50, 60, 70

Face, edges and vertices (p13)

More counting (p17)

1 3 faces, 3 edges, 1 vertex

1 a) 60 65 70 b) 70 65 60 c) 36, 39, 42 d) 36, 40, 44 e) 30, 27, 24 f) 28, 24, 20

3 dice, Rubik’s cube, sugar cube, etc 4 Children’s own drawings:

2 a) cuboid: 3 faces, 9 edges, 7 vertices triangular prism: 3 faces, 8 edges, 6 vertices square-based pyramid OR triangular-based pyramid: 2 faces, 5 edges,

2 a) 30 40 50 60 70 80 b) 40 45 50 55 60 65 c) 22 25 28 31 34 37 d) 46 42 38 34 30 26 e) 40 35 30 25 20 15 f) 42 39 36 33 30 27

2


Student Book 3

Nelson International Maths 3 a) Count in fives b) Count in tens c) Count back in tens d) Count in tens e) Count the even numbers f) Count the odd numbers

Answers

Naming 2D shapes (p21)

4 Students’ own work.

1 a) pentagon b) quadrilateral c) quadrilateral d) hexagon e) triangle f) octagon g) pentagon h) hexagon

Missing numbers (p18)

2 Students’ own work

1 a) 35 b) 82 c) 100 d) 26 e) 87 f) 39

Investigating 2D shapes (p22)

2 a) 135 b) 270 c) 367, 368, 369 d) 387, 388, 389, 390

1 a) D b) A c) E d) F e) G f) B

3 a) 336 b) 451 c) 640 d) 790 4 a) 145 b) 260 c) 349 d) 499 5 a) 990 b) 844 c) 699 d) 672 6 a) 281 b) 335 c) 690 d) 663 7 a) 51 b) 140 c) 410 d) 700 8 a) 600 b) 700 c) 440 d) 550 e) 1000 f) 135 g) 875 h) 193 Counting patterns to 1000 (p19) 1 a) 424 b) 217 c) 551 d) 683 e) 936 f) 705 2 a) – i) Students’ own ideas. 3 a) 665 b) 409 c) 1009 4 a) 865 b) 590 c) 739 5 a) 300 b) 239 c) 750 6 a) 400 b) 450 c) 390 7 a) – f) Students’ own ideas. Revising 2D shapes (p20) 1 a) Students should be able to find: triangles, squares, pentagons, hexagons, circles, semi-circles, rectangles b) Answers will vary 2 Students’ own work.

2 a) E b) A, B c) C d) F e) G f) A, C 3 Semi means half. 4 a) triangle & rectangle, triangle & circle, triangle & square, triangle & hexagon st b) 1 , 3rd & 4th Symmetry (p23) 1 square: 4 ways a) 5 ways b) 3 ways c) 2 ways d) 8 ways 2 It makes a symmetrical person. 3 5 lines of symmetry 4 Students’ own work. Addition and subtraction facts (p24) 1 a) 10 b) 10 c) 7 d) 5 e) 5 f) 15 g) 20 h) 19 i) 1 j) 6 k) 4 l) 12 2 a) 15 + 2 = 17, 2 + 15 = 17, 17 – 15 = 2, 17 – 2 = 15 b) 13 + 4 = 17, 4 + 13 = 17, 17 – 13 = 4, 17 – 4 = 13 c) 3 + 14 = 17, 14 + 3 = 17, 17 – 3 = 14, 17 – 14 = 3 d) 3 + 15 = 18, 15 + 3 = 18, 18 – 15 = 3, 18 – 3 = 15 e) 9 + 9 = 18, 18 – 9 = 9

3


Student Book 3

Nelson International Maths

Answers

f) 13 + 5 = 18, 5 + 13 = 18, 18 – 13 = 5, 18 – 5 = 13

2 Students’ own work. Allow them to check each other’s calculations.

g) 5 + 6 = 13, 6 + 5 = 13, 13 – 5 = 6, 13 – 6 = 5

Adding mentally (p28)

h) 4 + 9 = 13, 9 + 4 = 13, 13 – 4 = 9, 13 – 9 = 4 i) 12 + 1 = 13, 1 + 12 = 13, 13 – 1 = 12, 13 – 12 = 1 j) 9 + 5 = 14, 5 + 9 = 14, 14 – 9 = 5, 14 – 5 = 9 k) 11 + 3 = 14, 3 + 11 = 14, 14 – 11 = 3, 14 – 3 = 11 l) 13 + 1 = 14, 1 + 13 = 14, 14 – 1 = 13, 14 – 13 = 1

Set 1

Set 2

Set 3

11

6

21

12

2

12

11

10

11

19

12

9

9

10

19

14

14

20

14

8

11

13

8

7

15

9

13

15

1

18

Adding and subtracting problems (p25)

20

6

18

1 a) 7 + 6 = 13 b) 6 + 9 = 15 c) 8 + 4 = 12 d) 5 + 9 = 14 e) 3 + 8 = 11 f) 8 + 9 = 17

18

2

17

19

10

10

2 a) 11 – 3 = 8 b) 5 + 8 = 13 c) 15 – 8 = 7 d) 16 – 9 = 7 e) 18 – 9 = 9 f) 14 – 8 = 6

20

11

13

19

13

11

15

12

14

16

5

14

20

11

15

19

5

15

19

2

17

Addition and subtraction patterns (p26) 1 a) 10 b) 100 c) 1000 d) 7 e) 70 f) 700 g) 5 h) 50 i) 500 2 a) 900 b) 500 c) 600 d) 800 f) 300 f) 1000 3 a) 800 ml b) 500 ml, c) 100 ml d) 1000 ml or 1 litre Making 100 (p27) 1 a) 75 b) 40 c) 5 d) 70 e) 55 f) 80 2 55 cm 3 a) 65 b) 55 c) 15 d) 25 Adding several small numbers (p28) 1 a) 13 b) 13 c) 11 d) 14 e) 29 f) 27 g) 27 h) 30 i) 23 j) 26 k) 25 l) 14 m) 19 n) 25 o) 40

Metres (p30) 1 a–e) Students’ own work. 2 a–d) Students’ own work. Estimate and measure in metres (p31) 1 a–d) Students’ own work. 2 Students’ own work. 3 a–c) Students’ own work 4 Students’ own work. 5 Students’ own work. 4


Student Book 3

Nelson International Maths

Answers

Measuring in centimetres (p32)

Rounding to the nearest 100 (p36)

1 Students’ own work.

1 a) 200 b) 400 c) 500 d) 300 e) 300 f) 400 g) 800 h) 600

2 a) 7cm b) 4cm c) 3cm d) 8cm e) 5cm f) 8cm g) 6cm h) 5cm Measure the paths (p33) 1 a) 5.1cm b) 7.0cm c) 5.2cm d) 12.6cm e) 7.7cm

2 a) 100 b) 400 c) 600 d) 400 e) 200 f) 800 g) 900 h) 900 i) 700 j) 900 3 435, 378, 416, 351, 387, 421, 395 4 924, 881, 937, 892, 945, 876, 915, 869

2 5.1cm 5.2cm 7.0cm 7.7cm 12.6cm

Estimate and count (p37)

3 a) 6cm line joined to a 1cm line, 7cm b) 7cm line joined to a 9cm line, 16cm c) 8cm line joined to a 3cm line joined to a 2cm line, 13cm d) 4cm line joined to a 5cm line joined to a 3cm line, 12cm e) 6cm line joined to a 3cm line joined to a 4cm line, 13cm f) 2 cm line joined to a 4 cm line joined to a 5cm line, 11cm

1 Students’ own answers.

The nearest centimetre (p34) 1 a–f) Students’ own work. 2 a) 8.5cm b) 5.5cm c) 3.5cm d) 1.5cm e) 7cm f) 9.5cm 3 1.5cm 3.5cm 5.5cm 7cm 8.5cm 9.5cm 4 Student’s own work

Estimate by counting in groups (p38) a) 10 – 20 b) 10 – 20 c) 20 – 30 d) 20 – 30 e) 20 – 30 b) 20 – 30 g) 20 – 30 h) 30 – 40 Time in minutes (p39) 1 Red 2 Yellow 3 Green 4 Yellow 5 Red 6 Blue 7 Red 10:30, Blue 10:35, Green 10:40, Yellow 10:45 8 Red 11:30, Blue 11:25, Green 11:35, Yellow 11:40 Telling and showing time (p40)

Rounding to ten (p35) 1 Closer to 40

Closer to 50

36, 41, 43

52, 54, 47, 45

2 Closer to 80

Closer to 90

77, 83, 81

88, 85,94,90

3 a) 20 b) 40 c) 30 d) 90 e) 60 f) 20 g) 80 h) 40 i) 100 j) 90

1 a) 2:25 b) 4:10 c) 3:05 d) 4:35 e) 3:40 f) 2:50 2 a) Five past five b) Twenty-two minutes past ten c) Twenty-six minutes past four d) Twenty-five past two e) One minute to ten f) Ten to twelve 3 a) 4:40 b) 11:55 c) 7:45 d) 3:55 4 a) 25 minutes b) 10 minutes c) 30 minutes d) 50 minutes

5


Student Book 3

Nelson International Maths

Answers

Estimating time (p41)

5 2 × 4 = 8, 4 × 2 = 8, 8 ÷ 2 = 4, 8 ÷ 4 = 2

1 a) 30 minutes b) 10 minutes c) 15 seconds d) 20 minutes e) 30 seconds f) 5 minutes

6 4 × 4 = 16, 16 ÷ 4 = 4

2 a–d) Students’ own work. Calendars and dates (p42) 1 a) 4 b) 25 c) 16 2 a) Saturday 3rd, Sunday 4th, Monday 5th, Tuesday 6th, Wednesday 7th, Thursday 8th, Friday 9th b) Tuesday 13th, Wednesday 14th, Thursday 15th, Friday 16th, Saturday 17th, Sunday 18th, Monday 19th 3 a) Thursday b) Friday c) Friday 4 a) Saturday, Thursday 15th, b) Friday, Wednesday 28th c) Friday, Saturday 31st 5 a) Tuesday 13th August b) Saturday 3rd August 6 a–f) Students’ own work. 7 a–d) Students’ own work. 8 Students’ own work. Calendar problems (p43) 1 22 February 2 28 February, 28 March, 25 April 3 10 school days (assuming a Monday to Friday School week); A week before is 8 March.

Tables, ×2, ×5 and ×10 (p45) 1 a) 2 × 1 = 2, 1 × 2 = 2 b) 2 × 2 = 4 c) 2 × 3 = 6, 3 × 2 = 6 d) 2 × 4 = 8, 4 × 2 = 8 e) 2 × 5 = 10, 5 × 2 = 10 2 a) 12 b) 16 c) 20 d) 18 e) 14 3 a) 0 b) 15 c) 30 d) 40 e) 50 f) 45 4 0 × 5 = 0, 1 × 5 = 5, 2 × 5 = 10, 3 × 5 = 15, 4 × 5 = 20, 5 × 5 = 25, 6 × 5 = 30, 7 × 5 = 35, 8 × 5 = 40, 9 × 5 = 45, 10 × 5 = 50, 11 × 5 = 55, 12 × 5 = 60 5 a) 10 × 6 = 60 b) 10 × 3 = 30 c) 10 × 8 = 80 d) 10 × 10 = 100 e) 10 × 5 = 50 f) 10 × 4 = 40 g) 10 × 0 = 0 h) 10 × 9 = 90 Recognising multiples (p46) 1 a) 35, 39 b) 23, 93 c) 123, 145 d) 223, 245, 261 2 120, 300, 90, 500, 320, 900, 40, 600 3 a) 30 b) 45 c) 130 d) 205, 210, e) 305, 310, 315, 320 f) 385, 390, 395 The X3 table

4 24 April; 29 April

1 1 × 3 = 3, 2 × 3 = 6, 3 × 3 = 9, 4 × 3 = 12, 5 × 3 = 15, 6 × 3 = 18, 7 × 3 = 21, 8 × 3 = 24, 9 × 3 = 27, 10 × 3 = 30

Revise multiplication and division (p44)

2 2 × 3 = 6, 3 × 2 = 6, 6 ÷ 3= 2, 6 ÷ 2 = 3

1 2 × 7 = 14, 7 × 2 = 14, 14 ÷ 2 = 7, 14 ÷ 7 = 2 2 5 × 4 = 20, 4 × 5 = 20, 20 ÷ 5 = 4, 20 ÷ 4 = 5 3 3 × 3 = 9, 9 ÷ 3 = 3 4 4 × 3 = 12, 3 × 4 = 12, 12 ÷ 4 = 3, 12 ÷ 3 = 4

3 × 3 = 9; 9 ÷ 3 = 3 [Note there are only two facts for square numbers] 3 × 5 = 15, 5 × 3 = 15, 15 ÷ 3 = 5, 15 ÷ 5 = 3 3 × 4 = 12, 4 × 3 = 12, 12 ÷ 3 = 4, 12 ÷ 4 = 3

6


Student Book 3

Nelson International Maths 5 × 6 = 30, 6 × 5 = 30, 30 ÷ 5 = 6, 30 ÷ 6 = 5 4 × 6 = 24, 6 × 4 = 24, 24 ÷ 6 = 4, 24 ÷ 4 = 6 3 9 × 3 = 27 counters 4 18 ÷ 6 = 3 each Multiplying by 4 (p48) 1 a) 2 × 4 = 8 b) 5 × 4 = 20 c) 7 × 4 = 28 d) 3 × 4 = 12 e) 6 × 4 = 24 f) 8 × 4 = 32 2 a)

Answers

2 Chocolate + rice; orange + biscuits, cheese + sweets, syrup + cookies Reading scales (p51) 1 a) 1 kg b) 2 kg c) 1 kg d) 5 kg e) 4 kg f) 5 kg 2 a) 10 kg b) 8 kg c) 8 kg d) 18 kg 3 a) Students’ own work. b) Students’ own work. Working with weights? (p52) 1 Children’s own work.

4 × 4 = 16 b)

2 Children’s own work. 3 Children’s own work. 4 Children’s own work.

10 × 4 = 40 c)

5 Trips can be taken in any order: 26 kg + 14 kg, 24 kg + 16 kg, 23 kg + 17 kg, 21 kg + 19 kg, 10 kg + 12 kg + 18 kg Revise dividing into groups (p53) 1 a) 12 ÷ 4 = 3 b) 24 ÷ 6 = 4 c) 9 ÷ 3 = 3 d) 18 ÷ 6 = 3

9 × 4 = 36 d)

2 20 ÷ 10 = 2 packets 3 24 ÷ 8 = 3 plates 4 20 ÷ 5 = 4 groups 5 18 ÷ 2 = 9 cups

6 × 4 = 24 Weighing in kilograms (p49) 1 Students’ own work. 2 Students’ own work. 3 Students’ own work. Kilograms and grams (p50) 1 grams, kilograms, kilograms, grams, kilograms

Division facts (p54) 1 a) 3, 10 b) 3, 8 c) 9, 5 d) 7, 4 e) 10, 5 f) 7, 3 2 a) 5 b) 4 c) 7 d) 3 e) 3 f) 5 g) 6 h) 10 i) 8 j) 4 k) 5 l) 9 Division with some left over (p55) 1 a) 12 ÷ 5 = 2 per child and 2 left over b) 10 ÷ 3 = 3 per child and one left over c) 16 ÷ 5 = 3 per child and 1 left over d) 16 ÷ 7 = 2 per child and 2 left over 7


Student Book 3

Nelson International Maths 2 a) 9 ÷ 2 = 4 rem.1 b) 13 ÷ 2 = 6 rem. 1 c) 16 ÷ 3 = 5 rem.1 d) 14 ÷ 3 = 4 rem. 2 e) 18 ÷ 4 = 4 rem. 2 f) 23 ÷ 4 = 5 rem. 3

Answers

Reading tables (p59)

Use a number line to divide (p56)

1 a) 0 hours b) 6 hours c) 1 hour d) 3 hours e) Mark f) Sunday and Wednesday g) Ranjit h) Saturday

1 a) 6 b) 2 c) 9

2 a–d) Children’s own work.

2 a) 4 b) 6 c) 5 d) 3 e) 4 f) 6 g) 7 h) 3 i) 2 j) 7 k) 8 l) 5

Venn diagrams (p60)

3 a) 4 packs b) 7 packs c) 6 packs d) 12 packs e) 9 packs (round up for the extra card) Dividing bigger numbers (p57) 1 a) 14 b) 21 c) 14 d) 12 e) 11 f) 13 g) 13 h) 11 i) 11 2 a) 5 rem 4 b) 9 rem 4 c) 15 rem 3 d) 13 e) 11 rem 1 f) 11 rem 1 g) 10 rem 2 h) 10 rem 3 i) 9 rem 5 3 4

1 a) 4 b) 4 c) 4 d) They don’t like chocolate or ice cream. 2 a–b) Children’s own work. Carroll diagrams (p61) 1 a) 4 b) Teresa c) 3 Mandia, Sarah, Annie d) Ahmed, Mandy 2 Children’s own work. Writing fractions (p62) 1 a)

2 3

1 2

b)

c)

2 3

1 2

d)

e)

2 5

f)

1 4

4 8

2 a–d) Students’ own diagrams.

5 8 groups

3 a)

6 12 Multiplication and division problems (p58) 1 15 ÷ 3 = 5 beads each

1 3

1 2

,

1 3

,

1 2

,

,

1 4

,

3 5

,

2 3

3 4 × 4 = 16 biscuits altogether

2

1 2

,

3 4

,

1 6

,

3 10

4 4 × 5 = 20 plants altogether

3 a)

2 5

c)

6 58 ÷ 5 = 11 dominoes per child and 3 left over 7 70 ÷ 10 = 7 8 48 ÷ 4 = 12 coins in each pile and no coins left over

3 4

are unshaded

More fractions (p63) 1 2

5 2 × 10 = 20 grapes altogether

and

b) Students’ own explanations.

1

2 6 × 3 = 18 fish altogether

3 5

,

7 8

b)

,

1 2

3 5

,

1 4

d)

3 8

Equivalent fractions (p64) 1

4 8

,

4 8

,

1 2

,

2 4

2 A, C, D and E all have half shaded; B, F, G and H all have

9 a) 17 ÷ 2 = 8 rem. 1 b) 17 ÷ 3 = 5 rem. 2 c) 17 ÷ 4 = 4 rem. 1 d) 17 ÷ 5 = 3 rem. 2 8

1 4

shaded.


Student Book 3

Nelson International Maths Half of an amount (p65) 1

1 2

of 4 = 2

2

1 2

of 2 = 1

3

1 2

of 8 = 4

4

1 2

of 10 = 5

5

1 2

of 12 = 6

6

1 2

of 20 = 10

Finding fractions of amounts (p66) 1 a) 1 b) 2 c) 3 d) 4 e) 5 f) 10 g) 1 h) 3 i) 4 j) 5 k) 6 l) 12 2 a) 20 c b) 6 c c) 10 c d) 18 c e) 16 c f) 12 c g) 9 c h) 7 c i) 11 c 3 a) 24 cm b) 16 cm c) 12 cm 4 a) 2 out of every 3 parts b) 10 c) Divide by 4 then multiply by 3 Making fractions (p67) 1 One half of 6 is 3. 2 One third of 6 is 2. 3 One half of 8 is 4. 4 One quarter of 8 is 2. 5

1 2

of 12 = 6

6

1 4

of 12 = 3

7

1 3

of 12 = 4

8

1 2

of 18 = 9

9

1 3

of 18 = 6

10

2 3

of 18 = 12

Answers

Measuring capacity (p68) 1 Children’s own work. 2 a) small b) yes c) no 3 Children’s own work. 4 a) Children’s own work. b) Children’s own work. Litres and millilitres (p69) 1 a) litres b) millilitres c) millilitres d) litres e) millilitres f) millilitres 2 a) 10l b) 100l c) 250ml 3 Fill the litre container with sand and then tip the litre of sand into another container. If it all fits and there is space left in the container it holds more than a litre. If some sand is left over the container holds less than a litre. 5 a) Children’s own work. b) Children’s own work. Reading scales (p70) 1 a) 1l 700ml, 1700ml 2 1l 100ml, 1100ml 3 3l, 3000ml 4 2l 400ml, 2400ml 5 3l 200ml, 3200ml Capacity problems (p71) 1 a) 2 b) 4 c) 100ml d) 10 e) 50 litres f) 25 g) 100 2 a) one 1 litre b) 5 c) 3 Doubling numbers (p72) 1 a) 18 b) 18 c) 20 d) 22 e) 26 f) 34 g) 38 h) 40

9


Student Book 3

Nelson International Maths 2 a) 90 c, 110 c or $1.10, 160 c or $1.60, 190 c or $1.90, 200 c or $2.00, $500, $900, $1000 3 Calculator $90, Chocs $24, Scarf $36, Cap $38, Mouse $70, Wheelbarrow $80, TV $800 Ten more, ten less (p73) 1 a) 97 b) 87 c) 28 d) 93 e) 83 f) 65 2 a) 45, 46, 47 b) 48, 47, 46 c) 73, 74, 75 d) 34, 33, 32 e) 210 f) 208 g) 106 h) 205 i) 106 j) 111 k) 87 l) 207 3 Students’ own ideas.

Answers

e) 30 + 60 = 90 f) 10 + 90 = 100 g) 50 + 30 = 80 h) 50 + 10 = 60 i) 50 + 40 = 90 j) 80 + 20 = 100 k) 50 + 40 = 90 l) 80 + 10 = 90 2 a) 100 – 60 = 40 b) 90 – 30 = 60 c) 40 – 30 = 10 d) 60 – 20 = 40 e) 100 – 70 = 30 f) 80 – 40 = 40 g) 90 – 10 = 80 h) 90 – 60 = 30 3 1a) 81 b) 71 c) 95 d) 80 e) 95 f) 99 g) 75 h) 64 i) 85 j) 103 k) 89 l) 93 2 a) 33 b) 63 c) 9 d) 40 e) 31 f) 42 g) 81 h) 32 4 a)

Add or subtract multiples of 10 and 100 (p74)

Day

Number of passengers

1 a) 93 b) 97 c) 104 d) 111 e) 88 f) 121 g) 154 h) 304 i) 455 j) 382 k) 314 l) 883

Monday

70

Tuesday

50

Wednesday

80

More adding (p75)

Thursday

60

1 a) 68 b) 63 c) 66 d) 81 e) 80 f) 71 g) 142 h) 422 i) 305

Friday

70

2 a) 56c + 26c = 82c b) 23c + 68c = 91c c) 48c + 25c = 73c

Saturday

90

Sunday

100

2 a) 167 b) 252 c) 304 d) 121 e) 826 f) 220

3 a) 24 + 31 = 55 OR 42 + 13 = 55 OR 43 + 12 = 55 b) 41 + 23 = 64, 43 + 21 = 64 More subtracting (p76) 1 a) 32 b) 38 c) 25 d) 7 e) 59 f) 28 g) 57 h) 37 i) 19 2 a) 50c – 18c = 32c b) 50c – 25c = 25c c) 50c – 42c = 8c

b) 70 + 50 + 80 + 60 + 70 + 90 +100 = 520 Adding bigger numbers (p78) 1 a) 435 b) 765 c) 592 d) 931 e) 814 f) 863 2 a) 213 b) 445 c) 514 3 a) 102 b) 161 c) 740 d) 140 e) 280 f) 420 Right angles (p79) 1 Children’s own work.

3 Children’s own work.

2 a) B b) C c) A d) C, D e) C

Rounding and estimating (p77)

3 greater than a right angle: B, D, E smaller than a right angle: A, C

1 a) 50 + 30 = 80 b) 50 + 20 = 70 c) 60 + 30 = 90 d) 30 + 50 = 80

10


Student Book 3

Nelson International Maths

Answers

Investigating angles (p80)

5 6 toys that cost $5 each

1 Practical task 2 a) A < 90° B > 90° C = 90° D = 90° E > 90° b) F < 90° G > 90° H = 90° I = 90° c) J = 90° K < 90° L > 90° M = 90° d) N = 90° O < 90° P > 90° Q = 90° R = 90° S = 90°

6 $50 7 $35.00 8 Students’ own combinations. 9 Students’ own work.

3 a) 90° b) < 90° c) > 90° d) < 90°

Clockwise and anti-clockwise (p84)

4 Students’ own discussion.

Practical game-playing activity.

Writing money amounts (p81)

Position on a grid (p85)

1 a) 75 c b) $4.50 c) $3.06 d) $10.99

1 a) Juice and a ball b) two pencils c) A2 d) C2

2 a) 45c, $0.54, $4.05, $4.50, $45 b) $0.01, 11c, $1.10, $1.10, $11.00

2 a) A4 b) D2 c) D1 d) B2 e) D4 f) C1

c) 30 c, $0.33, $3, $3.30, $3.33

3 a) square b) cylinder c) rhombus d) triangle e) circle f) cone

d) $0.25, $2.05, $2.50, 255 c, $25.50

Mixed numbers (p86)

3 $3.00 4 315 c or $3.15 5 170 c or $1.70 6 45 c Making 100 (p82) 1 Nick 57 c, Jenna 71 c, Patience 45 c, Zayed 61 c, Mariam 21 c, Petros 29 c, Job 8 c, Zuki 16 c, Mildred 24 c, Josh 51 c, Zulfah 32 c, Terry 33 c, Lizzie 49 c, Susan 36 c, Will 7 c, Mike 1 c, Jess 81 c, Pumla 43 c, Jo 52 c, Anne 32 c Money problems (p83) 1 a) 4 items @ $5 = $20.00 b) 3 items @ $10 = $30.00 c) $35.00 d) $60.00 e) $20.00

1 a) 1 1 b) 3 3 (use unshaded portions) 3

c) 1

1 4

h) 2

1 2

5

d) 1

5 8

e) 2

3 4

f) 2

2 3

g) 2

9 10

2 Students’ own diagrams Showing mixed numbers on a number line (p87) 1 a) 1

3 4

b) 1

1 3

c) 1

5 6

d) 2

2 a) D b) B c) A d) C 3 Students’ own work Favourite flavours (p88) 1 a) 4 b) 6 c) 6 d) 2 2 Chocolate

2 $25

3 Neapolitan

3 7 items

4 a) 3 b) 7 c) 11

4 $30.00 + $25.00 = $55.00

11

3 5

e) 2

1 2


Student Book 3

Nelson International Maths 5 a)

Answers

Multiplying by 10 (p91)

b)

1 a) 160 b) 180 c) 190 d) 200 e) 220 f) 250 g) 340 h) 360 i) 450 j) 520 k) 590 l) 610

c)

2 a) 120 b) 210 c) 390 3 42 boxes

d)

4 660 crayons Multiply ‘teens’ numbers (p92)

6 Children’s own work.

1 a) 36 b) 55 c) 60 d) 39 e) 42 f) 70

Reading a bar graph (p89) 1 a) Soccer b) 16 c) 4 d) Netball e) 8 f) 4 2 a–b) Children’s own work. 3 Students to draw graphs based on their own data.

2 a) 30 b) 45 c) 57 3 a) 65 b) 80 c) 95 4 a) $33 b) $51 c) $54 5 a) 45 b) 75

Sandwich survey (p90)

6 $54

1

7 a) 95 km b) 190 km

Cheese

IIII II

7

Doubling and halving (p93)

Egg

IIII

5

Chicken

IIII I

6

1 a) 22 b) 24 c) 26 d) 28 e) 30 f) 32 g) 34 h) 36

Vegetables

II

2

Jam

IIII IIII II

12

2

2 a) 10 b) 25 c) 50 d) 35 3 a) $6 b) $8 c) $9 d) $15 4 a) 26 m b) 52 m 5 14 m 6 a) Not yet b) another 4 km (to reach 16 km) Halving an odd number (p94) 1 6 1 , 7 1 , 8 1 , 13 1 2

2

2 a) 14

1 2

f) 18

1 2

2

2

b) 20 c) 12

3 a–b) Children’s own work. 12

1 2

d) 16

1 2

e) 13

1 2


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