Nelson international maths pupil book 4 answers by hany mufeid

Student Book 4

Nelson International Maths Revising place value (p5) 1 a) 328 = 300 + 20 + 8 b) 533 = 500 + 30 + 3 2 a) 454 = 400 + 50 + 4 b) 195 = 100 + 90 + 5 c) 207 = 200 + 7 d) 731 = 700 + 30 + 1 3 a) 613 = 600 + 10 + 3 b) 226 = 200 + 20 + 6 c) 879 = 800 + 70 + 9 d) 547 = 500 + 40 + 7 e) 984 = 900 + 80 + 4 f) 732 = 700 + 30 + 2 g) 461 = 400 + 60 + 1 h) 358 = 300 + 50 + 8 Place value to thousands (p6) 1 Oral activity 2 a) 5792 b) 8275 c) 3650 d) 1960 e) 2489 f) 9765 g) 4257 h) 6283 3 a) 600 b) 6 c) 30 d) 3000 e) 20 f) 900 g) 5000 h) 90 i) 9 Working with larger numbers (p7) 1 a) 5000 + 200 + 40 b) 1000 + 90 + 8 c) 100 + 600 + 9 d) 3000 + 100 + 80 + 2 e) 8000 + 50 + 6 f) 7000 + 400 + 80 + 4 g) 6000 + 100 + 70 + 9 h) 2000 + 100 + 40 + 7 i) 9000 + 700 + 60 + 2 2 a) 4335 b) 8529 c) 4321 d) 5489 e) 3230 f) 2049 g) 9050 h) 7503 3 a) 800 b) 3000 c) 5 d) 9000 ; 90 e) 3000 f) 5000 Comparing and ordering numbers (p8) 1 a) 100 b) 500 c) 800 d) 900 e) 500 f) 510 g) 530 h) 820 i) 850 j) 890 k) 400 l) 500 m) 550 2 a) Students’ estimates will vary. b) Discussion. Comparing and ordering using < and > (p9) 1 a) > b) < c) < d) > e) < f) <

Answers

2 a) Students’ own work. b) Students’ own work. 3 a) 302, 460, 659, 720, 985 b) 102, 108, 111, 118, 150 c) 709, 790, 797, 799, 907, 970 4 a) false b) false c) true d) false More ordering and comparing numbers (p10) 1 a) 1632 b) 4977 c) 2851 d) 6392 2 a) 1622; 4967; 2841; 6382 b) 1732; 5077; 2951; 6492 c) 3632; 6977; 4851; 8392 3 Students’ own answers. Allow them to check each other’s suggestions. 4 Students’ own work. 5 a) 1372, 3150, 5827, 6125, 6324 b) 1596, 1826, 2250, 2895, 3199 c) 4291, 4871, 5242, 5643, 6126 d) 7958, 8777, 8982, 9645, 9875 e) 5936, 6599, 6708, 6821, 7729 f) 1520, 1986, 1992, 2135, 2448 Rounding to the nearest 10 (p12) 1 a) 150 b) 650 c) 390 d) 140 e) 280 f) 1410 2 a–d) Students’ own work. 3 a) Up, if she rounds down she won’t have enough fabric. b) Up, if they round down they won’t have enough flour. Rounding to the nearest 100 (p12) 1 a) 4200 b) 4800 c) 4500 d) 4300 e) 4900 f) 4400 g) 4700 h) 4500 i) 4900 j) 4800 k) 4100 l) 4600 2 a) 2400 b) 6900 c) 8700 d) 3200 e) 5900 f) 7500 g) 4400 h) 9300 i) 3300 j) 1300 k) 4100 l) 9000 3 a) 2250; 2349 b) 5550; 5649 c) 3050; 3149 d) 7850; 7949 1

Student Book 4

Nelson International Maths Revising 2D shapes (p13)

Answers

1 Regular: B, C, E 2 Students’ own drawings. Investigating polygons (p14) 1 a) rectangle b) triangle c) octagon d) square e) irregular octagon f) irregular pentagon 2 a) Recommended route for bicycles, rectangle b) Stop here, regular octagon c) Road works warning, triangle d) Straight ahead only, circle 3 Students’ own work.

Analogue time (p18) 1 a) 6 b) 9 c) 3 d) 5 e) 2 f) 11

1 a) 1 b) 2 c) 4

2 a) five past ten b) twenty-five to eleven c) half past two d) ten past five e) quarter past nine f) ten to seven

2 a–d) Students’ own work.

Time: am and pm (p19)

3 4 sides

1 a) 7:00 am b) 3:00 am c) 4:30 pm d) 5:45 pm e) 3:00 pm f) 5:15 am

Pin-board investigations (p15)

4 a–c) Students’ own work. More about quadrilaterals (p16)

2 Students’ own answers.

1 A – rhombus; B – parallelogram; C – trapezium; D – rectangle; E kite; F – Square; G – trapezium; H – rectangle

Revising 2D shapes (p13)

2 a) quadrilateral b) square c) rectangle and/or square d) rhombus e) parallelogram and/or rhombus

2 Students’ own work.

Investigating rectangles (p17) 1 a) 3 b) 2 2 a) b) c) Students’ own work.

1 a) cylinder b) triangular prism c) cube d) cone e) cuboid f) square-based pyramid

Investigating polygons (p14) 1 a) neither b) cube c) cuboid d) cuboid e) neither f) neither g) neither 2 Students’ own work.

3 a)

Student Book 4

Nelson International Maths Digital time (p20)

3 30 May

4 16 days fall on odd dates 1 hour later 2

Answers

5 Own work based on present year’s calendar.

Time in words

Digital time

1 hour earlier

Five o’clock in the afternoon

5:00 p.m.

4.00 pm

5.30 pm

Half past three in the morning

3:30 a.m.

02:30 am

4.00 am

Seven o’clock in the evening

7:00 p.m.

6.00 pm

7.30 pm

Twelve o’clock at night

12:00 a.m.

11.00 pm

11.30 pm

Quarter to one at lunchtime

12:45 p.m.

Twenty to eight in the morning

7:40 a.m.

06:40 am

7.10 am

1 a) $2.20 b) $6.90 c) $10.10

Twenty-five past eleven at night

11:25 p.m.

10:25 pm

11.55 pm

2 a) $4.32 b) $8.09 c) $12.50 d) $10.99 e) $25.45 f) $20.66

Ten to five in the morning

4:50 a.m.

05:20 am

3 a) 487 b) 599 c) 1235 d) 1525 e) 1200 f) 5000

11:45 pm

1:15 pm

Timetables (p23) 1 a) 7:15 b) 8:20 c) 9:10 2 a) Klimt Street b) Mondrian Avenue c) Escher Street 3 a) 7:50 b) 8:05 c) 9:05 4 a) Klimt Street b) Picasso Place c) Escher Street 5 a) 25 minutes b) 39 minutes c) 1 hour and 55 minutes Decimal notation (p24)

3:50 am

2 Students’ own work. Pinboard investigations (p15) 1 a) pyramid b) not pyramid c) not pyramid d) pyramid e) pyramid f) not pyramid 2 Students’ own work. Make your own sliding digital clock (p21) Practical activity. Using a calendar (p22)

4 a) $9.00; $1.99; 99 cents; $0.90 Decimal place value (p25) 1 a) 15.1 b) 6.6 c) 52.9 d) 93.3 e) 11.1 f) 40.5 2 a) Abacus showing 62.4 b) Abacus showing 5.5 c) Abacus showing 83.0 d) Abacus showing 20.8 3 a) 10 decimal numbers: 0.3, 1.2, 2.1, 3.0, 10.2, 11.1, 12.0, 20.1, 21.0, 30.0 b) Four beads: 15 decimal numbers; Five beads: 21 decimal numbers

1 a) Thursday b) 8 May c) Thursday 31 May d) 1 June e) 4 May 2 a) 4 b) 4

Student Book 4

Nelson International Maths

Answers

Counting in tenths (p26)

4 Students’ own work.

1 a) 0.7 kg, 0.8 kg, 0.9 kg, 1.0 kg, 1.1 kg, 1.2 kg, 1.3 kg, 1.4 kg, 1.5 kg, 1.6 kg b) 2.0 kg, 1.9 kg, 1.8 kg, 1.7 kg, 1.6 kg, 1.5 kg, 1.4 kg, 1.3 kg, 1.2 kg, 1.1 kg

Comparing decimals (p29)

2 a) 2.5 kg, 2.6 kg, 2.7 kg, 2.8 kg, 2.9 kg, 3.0 kg, 3.1 kg, 3.2 kg, 3.3 kg, 3.4 kg, 3.5 kg, 3.6 kg, 3.7 kg, 3.8 kg, 3.9 kg, 4.0 kg, 4.1 kg, 4.2 kg, 4.3 kg b) 0.6 kg, 0.7 kg, 0.8 kg, 0.9 kg, 1.0 kg, 1.1 kg, 1.2 kg, 1.3 kg, 1.4 kg, 1.5 kg, 1.6 kg, 1.7 kg, 1.8 kg, 1.9 kg c) 3.8 kg, 3.7 kg, 3.6 kg, 3.5 kg, 3.4 kg, 3.3 kg, 3.2 kg, 3.1 kg, 3.0 kg, 2.9 kg, 2.8 kg, 2.7 kg, 2.6 kg d) 4.0 kg, 3.9 kg, 3.8 kg, 3.7 kg, 3.6 kg, 3.5 kg, 3.4 kg, 3.3 kg, 3.2 kg, 3.1 kg, 3.0 kg, 2.9 kg, 2.8 kg e) 2.9 kg, 3.0 kg, 3.1 kg, 3.2 kg, 3.3 kg f) 2.1 kg, 2.0 kg, 1.9 kg, 1.8 kg, 1.7 kg, 1.6 kg, 1.5 kg, 1.4 kg, 1.3 kg, 1.2 kg, 1.1 kg, 1.0 kg, 0.9 kg 3 a) 7.1 kg, 6.8 kg, 5.9 kg b) 20.5 kg, 19.7 kg, 15.3 kg, 9.7 kg c) 87.9 kg, 87.1 kg, 86.8 kg, 86.5 kg d) 59.0 kg, 51.1 kg, 45.2 kg, 39.1 kg, 31.4 kg 4 a) 4.3 kg, 7.4 kg, 9.8 kg, 11.1 kg b) 9.4 kg, 10.0 kg, 12.8 kg, 15.3 kg c) 36.2 kg, 36.8 kg, 39.1 kg, 41.0 kg, 43.3 kg d) 18.3 kg, 18.7 kg, 19.1 kg, 19.6 kg, 19.9 kg Decimals and fractions (p27) 1 a) 0.3 b) 0.7 c) 1.2 kg d) 1.5 e) 2.4 2 a) 8 tenths b) 5 tenths c) 6 tenths 3 87.3, 88.5, 89.6 More decimals (p28) 1 a) $1.75 b) $2.25 c) $3.09 d) $5.80 e) $12.60 f) $25.05 g) $19.95 h) $49.99 i) $70.04 2 a) 50c b) 5c c) 555c d) 470c e) 1525c f) 2999c

1 a) 0.51 kg > 0.15 kg b) 0.45 kg < 0.7 kg c) 0.6 kg > 0.06 kg d) 0.1 kg < 0.8 kg 2 a) < b) = c) > d) < Gymnastics scores (p30) 1 a) Francesca 8.50, Barbara 8.35, Mino 8.50, Denise 9.10, Olga 8.75 b) 34.55, 33.45, 32.75, 31.85, 31.30 2 Gold: Denise, Silver: Olga, Bronze: Mino Metric units of length (p31) 1 a and b) Students’ own work. 2 a) cm b) km c) mm d) mm or cm e) mm f) mm g) m h) m Reading and writing lengths (p32) 1 Students’ own measurements. 2 250 cm; 2.5 m; 2 m and 50 cm; 1.47 m, 147 cm, 1 metre and 47 cm 3 a) 14 mm; 1.4 cm 1 cm and 4 mm; 43 mm, 4.3 cm 4 cm and 3 mm; 18 mm; 1.8 cm 1 cm and 8 mm Litres and millilitres (p33) 1 a–b) Students’ own answers. 2 a) 50 b) 4 c) 10 3 a) 2 b) 2 1 c) 2 3 d) 5 1 4

Mixing amounts (p34) 1 a) 475ml b) 750ml c) 745ml d) 1950ml or 1l 950ml or 1.95l 2 100ml pond water, 300ml beetroot juice, 200ml stale custard, 180ml bath water 3 Students’ own work.

3 Students’ own work. 4

Student Book 4

Nelson International Maths

Answers

Using liquids (p35)

Pairs of numbers that make 1000 (p41)

1 a) 6 days b) 225l c) 12.5l d) 17.5l

1 450 + 550; 350 + 650; 150 + 850; 700 + 300

2 Fill 5l bucket, tip water out to fill the 3l bucket leaving 2l in the 5l bucket. Tip these 2l into the 7l bucket and repeat. Which is best? (p45) 1 a) kitchen scale, g b) bathroom scale, kg c) balance scale, kg d) balance or kitchen scale, g e) balance scale, g f) kitchen scale, kg & g g) balance or kitchen scale, g 2 Studentsâ&#x20AC;&#x2122; own work. Reading measuring scales (p37) 1 3 kg; 1.5 kg; 4.5 kg; 32 kg; 37.5 kg; 29 kg 2 a) 20 g; 200 g; 100 g; 100 g b) A 440 g; B 760 g; C 2.4 kg; D 4.8 kg; E 200 g; F 700 g; G 800 g; H 2.1 kg Counting on and back (p38) 1 Oral counting activity 2 Oral counting activity 3 a) 3567;5567 b) 7045;9045 c) 4055;6055 4 8 hundreds Adding or subtracting groups of 10s, 100s and 1000s (p39) 1 a) 1274 b) 3544 c) 3960 d) 3476 e) 1330 f) 4100 g) 1299 h) 9345 i) 1900 2 a) 8200 b) 927 c) 7150 d) 4866 e) 4990 f) 6143 g) 1980 h) 3945 i) 5575 3 a) 200 b) 50 c) 7680 d) 500 e) 500 f) 80

2 a) 850 ml b) 600 ml c) 350 ml d) 150 ml Revising addition facts (p42) 1 5 2 23 3 4+5=9 4 44 5 8 (football) + 4 (tennis) + 4 (girls) +3 (1 boy and 2 girls) + 5 (skipping) + 6 (ring-a-ring-a roses). 6 4 (tennis) + 2 (catch) + 6 (ring-a-ring-aroses) + 5 (skipping) + 3 (chatting/whispering) = 20 7 6 (ring-a-ring-a-roses) + 5 (skipping) = 11; 9 (netball/basketball) + 2 (catch) = 11; 8 (football) + 3 (chatting/whispering) = 11; 5 (skipping) + 4 (tennis) + 2 (catch); etc. 8 7 groups of 6, 2 left over Adding numbers by making 10 or 20 (p43) 1 a) 21 b) 17 c) 18 d) 16 e) 15 f) 23 g) 21 h) 27 i) 26 j) 25 k) 26 l) 27 2 a) 23 b) 22 c) 31 d) 28 e) 30 f) 30 Adding multiples of 10 (p44) 1 a) 90 b) 120 c) 130 d) 170 2 a) 60 b) 100 c) 180 d) 130 e) 140 f) 140

4 a) 500 b) 50 c) 5000 d) 300 e) 800 f) 300

3 a) 90 b) 100 c) 100 d) 100 e) 80 f) 80 g) 110 h) 90

Making 100 (p40)

Symmetry (p45)

1 a) 28 b) 67 c) 55 d) 81 e) 36 f) 39

Lines of symmetry are: a, c, d, i, l

2 a) 43 kg; 61 kg; 13 kg; 87 kg

Symmetry in polygons (p46)

Student Book 4

Nelson International Maths 1 a) A triangle, B square, C pentagon, D hexagon, E octagon b) All are symmetrical

Answers

A typical day (p50) 1 a) 1

1 2

hours b) 4 hours c) 2

1 4

hours

d) sleeping e) travelling

c) Student’s own drawings d) In a regular polygon, the number of lines of symmetry is equal to the number of sides. 2 a) Students’ own drawings b) A rectangle, B parallelogram, C rhombus, D trapezium c) Own diagrams d) They are not regular. Symmetry around us (p47) 1 a) Students’ own investigations.

2 Students’ own work. Who uses the shop? (p51) 1 a) 50 b) 70 c) 16 d) 12 e) 2 2 150 3 a) 20 b) 58 c) 68 4 Students’ own work 5 Students’ own work

2 a) kites, triangles, circles, and a 12-sided polygon (the star in the centre) b) 12

More bar charts (p52)

3 a) 4 sides; kite b) 6 sides; hexagon c) 8 sides; octagon

1 a) Yes b) Own opinion c) The scale is different; one is horizontal the other is vertical, the bars are different thicknesses.

Organising data (p48) 1 a) 19 b) 13 c) 14 d) 10 e) 9 f) 7

2 Student’s own graphs.

2 36

3 a) The bars would be shorter b) the bars would be much longer

3 Students’ own work.

Reading a pictogram (p53)

Frequency tables (p49)

1 Chocolate

1 a–c)

2 Strawberry and Mint

Mark

Tally

Frequency

3 20

4 50

IIII

IIII III

2 Students’ own work. 3 Students’ own work.

5 No, it’s probably been rounded to the nearest 10 because every answer is a multiple of 10. 6 It could help them to work out how much of each flavour ice cream they need to buy. More pictograms (p54) 1 a) Saturday b) Tuesday and Thursday c) 20 d) 5 e) 115

Student Book 4

Nelson International Maths 3 × 4 = 12 4 × 4 = 16 5 × 4 = 20 6 × 4 = 24 7 × 4 = 28 8 × 4 = 32 9 × 4 = 36 10 × 4 = 40

2 Days

Frequency

Mon – Thurs

Friday

Saturday

Sunday

3 a) Students diagrams: circle and

3 4

1 2

a circle;

Answers

1 4

4 a) $24 b) 100 stickers c) 36 counters d) 9 e) 7 f) 44 (it’s one more four) of a

of a circle b) 4 c) 90 d) Lions

e) 20 Drawing pictograms (p55)

The 6× and 9× tables (p59) Practical activity to learn tables. How many ways? (p60)

3 a) 20 b) 24 c) 32 d) 36 e) 16 f) 24

1 a) 3 rows of 9 = 27; 9 rows of 3 = 27; 3 × 9 = 27, 9 × 3 = 27; 9 + 9 + 9 = 27; 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 27; 27 ÷ 9 = 3; 27 ÷ 3 = 9 b) 5 rows of 8 = 40; 8 rows of 5 = 40; 5 × 8 = 40, 8 × 5 = 40; 8 + 8 + 8 + 8 + 8 = 40; 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 40; 40 ÷ 5 = 5; 40 ÷ 5 = 8 c) 6 rows of 7 = 42; 7 rows of 6 = 42; 6 × 7 = 42, 7 × 6 = 42; 7 + 7 + 7 + 7 + 7 + 7 = 42; 6 + 6+ 6 + 6 + 6 + 6 + 6 = 42; 42 ÷ 7 = 6; 42 ÷ 6 = 7 d) 4 rows of 10 = 40; 10 rows of 4 = 40; 4 × 10 = 40, 10 × 4 = 40; 10 + 10 + 10 + 10 = 40; 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 40; 40 ÷ 10 = 4; 40 ÷ 4 = 10

4 a) 2 b) 3 c) 5

2 a–d) Students’ own work.

Revising the 2X, 3X, 5X and 10X tables (p57)

Multiplication grids (p61)

1 a) See Workbook answers page 33 b) black, it has most symbols c) 19 d) 4 e) To tell you what the symbols stand for 2 a) See Workbook answers page 33 b) Discussion Revising repeated addition and subtraction (p 56) 1 a) 8 b) 16 c) 32 d) 20 2 a) 3 b) 7 c) 9

1 a) 20 b) 18 c) 24 d) 90 e) 30 f) 20 g) 10 h) 40 i) 18 j) 6 k) 9 l) 15 m) 25 n) 9 o) 100 2 a) 12 b) 15 c) 40 d) 21 e) 20 f) 80 3 a) 10 b) 9 c) 9 d) 10 e) 5 f) 10 The 4X table (p58) 1&2 1×4=4 2×4=8

1 a) 35 b) 64 c) 27 d) 48 e) 40 f) 72 g) 49 h) 45 i) 60 2 a) Students to discuss. Code breakers (p62) 1 WE LIKE MULTIPLICATION AND DIVISION 2 Students’ own work.

Student Book 4

Nelson International Maths

Answers

Division facts (p63)

3 Students’ own work.

1 a) 6; 4 b) 7; 5 c) 7; 6 d) 4; 9 e) 8; 10

Reading a thermometer (p70)

2 a) 8 b) 9 c) 4 d) 9 e) 7 f) 3 g) 5 h) 7 i) 9 j) 7 k) 8 l) 10

1 a) 5°C b) 90°C c) −15°C d) 25°C e) 0°C f) 32°C

3 a) 5 b) 5 c) 7 d) 4 e) 10 f) 6 g) 7 h) 9 i) 4 j) 9 k) 7 l) 9

2 −15°C, 0°C, 5°C, 25°C, 32°C, 90°C

Revising 3D shapes (p64)

3 a) 180°C b) 480°C c) 95°C One day in winter (p71)

1 Starting temperature

Change

Temperature after change

Time of day

13°C

Rose 7°C

20°C

Noon

8°C

Rose 5°C

13°C

Afternoon

2°C

Fell 3°C

−1°C

Early evening

−4°C

Fell 6°C

−10°C

Late evening

−7°C

Fell 5°C

−12°C

Night

−1°C

Rose 5°C

4°C

Morning

Naming 3D shapes (p65) 1 a) square based pyramid b) octagonal prism c) tetrahedron d) triangular prism e) cuboid f) cylinder g) hexagonal prism Solids and their nets (p66) 1 a) cylinder b) triangular prism c) cube d) cone e) cuboid, f) square-based pyramid 2 Students’ own work.

2 Students’ own work. 3 Students’ own work. Fractions (p72)

Is it a cuboid (p67)

1 a–h) Children’s own work.

1 a) neither (only has five faces) b) cube c) cuboid d) cuboid e) neither (has 8 faces) f) neither (only has five faces)

2 a)

Is it a pyramid? (p68) 1 a) pyramid b) not pyramid c) not pyramid d) pyramid e) pyramid f) not pyramid 2 Children’s own work. Negative numbers (p69) 1 a) −5, −3, −2, 3, 5 b) −23, −22 c) 0, 50 d) −40, −20, 0, 60, 80 e) −30, −20, −10, 20 2 a) > b) > c) > d) < e) < f) >

1 2

1 4

1 3

3 8

1 5

1 8

3 10

8 10

3 a–b) Children’s own work. Fractions of shapes (p73) 1 2 parts; 1 2

1 2

2 3

shaded,

1 2

not shaded;

shaded,

2 3

not shaded;

2 3 parts; 1 3

1 2

1 3

Student Book 4

Nelson International Maths 1 4

3 4 parts; 1 4

3 4

8 10

3 4

Equivalent fractions (p76)

not shaded;

2 10

4 10 parts; 2 10

shaded;

8 10

not shaded;

5 6

6 3 parts; 2 parts shaded; 1 part not shaded 2 3

1 3

7 4 parts; 3 parts shaded; 1 part not shaded; 3 4

1 4

8 4 parts; 3 parts shaded; 1 part not shaded; 3 4

1 4

9 6 parts; 2 parts shaded; 4 parts not shaded;

2 6

4 6

1 a) 27 b) 18 c) Drawing of 9 cubes d) 18, 9 1 2

4 Students’ own work.

9 10

4 5

8 10

2 a)

7 8

5 5

3 4

;

5 8

4 5

1 4

4 8

3 5

3 8

2 5

3 5

4 5

5 Students’ own work. Compare and order equivalent fractions (p77) 1 a) = b) = c) = d) > e) > f) < g) > h) > i) > j) > k) > l) > m) > n) > o) <

2 a)

1 10

1 8

1 4

1 3

1 2

2 10

2 8

2 5

2 3

2 2

3 10

3 8

1 2

3 5

1 5

5 10

5 8

5 5

3 4

;

1 8

5 8

;

7 8

5 8

;

2 10

5 10

8 8

6 8

4 8

1 8

Fractions and decimals (p78)

;

8 10

= 0.8,

3 10

= 0.3,

1 2

= 0.5,

3 4

= 0.75,

1 2

= 0.5,

9 10

= 0.9,

5 10 25 100 80 100

= 0.5 = 0.25 = 0.8

Mixed numbers (p79) 1 2

1 a) 1 , b) 2 e)

2 5

4 a) > b) > c) < d) = e) = f) =

Comparing fractions (p75) <

1 5

3 Each is one more fifth than the previous one.

2 a)

3 Students’ own work.

3 5

4 5 , 8 10

1 a) 0.1 b) 0.7 c) 0.75 d) 0.3 e) 0.5 f) 0.25

c) Drawing of 4 cubes d) 16

e) Blue

3 6

Fractions of a number (p74)

2 a) 64 b)

2 4

2 a)

5 6 parts; 1 part shaded; 5 parts not shaded; 1 6

Answers

4 9

f) 2

3 8

1 4

c) 3

9 10

3 4

d) 2

h) 3

1 2

7 10 5 8

i) 1 ,

2 Students’ own number lines. Real-life problems (p80) 1 a)

15 16

b) 3 c) 1

1 4

1 5

Student Book 4

Nelson International Maths 2 a) 3

1 2

b) 3

1 2

c) 3

1 4

d) 3

1 3

3 Students’ own work. Position on a grid (p81) 1 a) green triangle b) purple pentagon c) orange hexagon d) red triangle e) yellow triangle f) blue triangle

Answers

Counting on and back to subtract (p86) 1 a) 5 b) 9 c) 8 d) 6 e) 6 f) 5 g) 6 h) 6 i) 6 2 a) 194 b) 296 c) 98 d) 398 e) 492 f) 397 More subtraction strategies (p87) 1 a) 37 b) 44 c) 22 d) 2 e) 43 f) 32 g) 33 h) 15 i) 28 j) 36 k) 58 l) 36

2 a) (3, 5) b) (5, 5) c) (2, 5) d) (6, 2) e) 2, 3) f) (5, 6)

2 a) 49 b) 98 c) 86 d) 99 e) 93 f) 94 g) 18 h) 34 i) 66

3 a) purple octagon b) (2, 4)

3 Student discussion.

Compass directions (p82)

Working with bigger numbers (p88)

1 a) Market b) Post office c) east d) south

1 a) 359 b) 511 c) 1034 d) 410 e) 564 f) 1063 g) 381 h) 826

2 Students’ own work. Finding your way (p83)

2 a) 147 b) 54 c) 19 d) 121 e) 125 f) 53 g) 121 h) 48

1 a) 3 North, 4 west, 1 south, 2 west, 3 south, 3 west, 4 north, 2 east

More adding and subtracting (p89)

b) 5 south, 9 west, 2 north, 7 east, 2 north, 4 west, 1 north, 3 west

1 a–c) All answers are a multiple of 9. 2

2 Students own work.

Item

Old price

New price

Price rise

Mental strategies for adding (p84)

Fridge

$325

$359

$34

Washer/drier

$427

$552

$125

Cooker

$645

$899

$254

Microwave

$197

$215

$18

Dishwasher

$287

$385

$98

1 a) 66 b) 82 c) 74 d) 77 e) 115 f) 111 g) 132 h) 42 i) 116 2 a) 73 b) 89 c) 59 d) 88 e) 97 f) 100 g) 113 h) 102 i) 144 3 142 Estimating (p85) 1 a) 90 + 90 = 180, 181 b) 40 + 70 = 110, 110; c) 60 + 60 = 120, 121 d) 90 + 100 = 190, 184 e) 50 + 30 = 80 , 82 f) 30 + 80 = 110, 108 2 a) $60 b) $100 c) $60 d) $90 e) $100 3 Actual costs are: a) $58, b) $102 c) $62 d) $90 e) $96

Coded subtractions (p90) 1 a) 333 b) 3 c) Numerous correct answers. d) 35 e) 666 f) Numerous correct answers. g) 5678 h) 656 i) Numerous correct answers. j) 99 2 Students’ own work. 3 a) 439 – 126 = 313 b) 537 – 263 = 274 c) 725 – 532 = 193 d) 868 – 245 = 623

Student Book 4

Nelson International Maths Fruit and nut problems (p91)

3 a) even b) even c) odd d) odd

1 a) 178 + 184 = 362 b) 246 – 112 =134 c) 130 + 178 = 308 d) 255 – 246 = 9 e) 200 -153 = 47

4 Discussion

2 704, 597, 413, 67, 48, 586, 432, 278,124 Perimeter (p92) 1 10 cm; 14 cm; 14 cm; 12 cm; 14 cm 2 a) 18 cm b) 22 cm c) 28 cm d) 8 cm Area (p93) 1 a) 8 cm2 b) 7 cm2 c) 8 cm2 d) 9 cm2 e) 7 cm2 f) 8 cm2 More area (p94) 2

1 a) 1 cm b) 6 cm c) 8 cm d) 9 cm e) 5 cm2 f) 25 cm2 g) 25 cm2 h) 12 cm2 i) 11 cm2 j) 4 cm2 k) 30 cm2

Answers

Zig-zag number track (p96) 1 a) 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65; 13 jumps b) 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84; 12 jumps c) 84, 78, 72, 66, 60, 54, 48, 42, 36, 30, 24, 18, 12, 6, 0; 15 jumps d) 88, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8, 0; 12 jumps e) 90, 81, 72, 63, 54, 45, 36, 27, 18, 9 0; 11 jumps f) 75, 70, 65, 60, 55, 50, 45, 40, 35, 30, 25, 20, 15, 10, 5, 0; 16 jumps 2 Students’ own work. 3 a) 8, 12, 16, 20, 24, 28, 32 b) 60, 54, 48, 42, 36, 30, 24 c) 95, 90, 85, 80, 75, 70, 65 d) 44, 48, 52, 56, 60, 64, 68

2 a) k b) a

4 a) 425, 525, 625 b) 435, 430, 425 c) 621, 721, 821 d) 1120, 1020, 920

3 136 cm2

5 Discussion

Odd and even numbers (p95)

Number patterning (p97)

1 a and b) 19, 21, 23

1 a) Students’ own work. b) 1, 2, 4, 8, 16, 32, 64 c) 32 d) 128 e) 1024 f) Students’ own work.

103, 105, 107 199, 201, 203 555, 557, 559

2 a) Students’ own work. b) 10, 14, 18, 22, 26, 30; 14cm, 18cm, 22cm, 26cm, 30cm, 34cm b) They both grow by 4.

9997, 9999, 10 001

Multiples (p98)

441, 443, 445

1 a) 5 and 0 b) Discussion c) 0 d) Discussion e) It will have 0 in the tens and 0 in the units place (it will end with 00)

c) 36, 38, 40 88, 90, 92 432, 434, 436 338, 340, 342 2 a) even b) even c) odd d) odd

2 a) Because 10 = 5 × 2 b) No c) 10 × 10 = 100 3 a) 5 b) 100 c) 10 d) 100 Angles (p99) 1 a) B b) C, E, D, A F

Student Book 4

Nelson International Maths

Answers

Compare and order angles (p100)

Halving (p106)

1 Practical activity

1 a) 14 km b) 200 m c) 600 ml d) $240 e) 2150 km f) 28 mm g) 75 km h) 750 m i) 1850 ml

2 a) C, B A b) B, A C Revise multiplication facts (p101) Studentsâ&#x20AC;&#x2122; own work.

2 4 times 3 a) $245 b) $650 c) $165 d) $1850

Multiplying tens (p102)

Multiplying a two-digit number by a onedigit number (p107)

1 a) 70 b) 90 c) 110 d) 210 e) 280 f) 300 g) 500 h) 720 i) 990

1 a) 171 b) 387 c) 410 d) 72 e) 116 f) 328 g) 92 h) 306 i) 200

2 a) 180 b) 270 c) 200 d) 300 e) 90 f) 900

2 a) 116 b) 228 c) 135 d) 62 e) 264 f) 246 g) 546 h) 205 i) 415

3 a) 120 b) 120 c) 300 d) 320 e) 350 f) 180 g) 720 h) 250 i) 360 4 800 5 540 Multiply bigger numbers by 10 1 a) 450 b) 670 c) 910 d) 1460 e) 2340 f) 4200

3 a) She doubled then double again. b) When you have to multiply by an even number. Multiplication problems (p108) 1 225 apples 2 a) 58 km b) 290 km c) 580 km

2 a) 1480 b) 1850 c) 1770 d) 2190 e) 2090 f) 2900 g) 3060 h) 3600 i) 3660

3 258 books

Multiply by 100 (p104)

5 384 biscuits

1 a) $200 b) $300 c) $500 d) $700 e) $900 f) $1100

6 171 pens

2 a) 4500 b) 8800 c) 9000 d) 2400 e) 1500 f) 2000

8 865 chairs

3 a) 300 b) 900 c) 1200 d) 1300 e) 2500 f) 7700 4 $9900 Doubling (p105)

4 294 seats

7 a) $600 b) $1200

Venn diagrams (p109) 1 a) 5 b) 4 c) 4 d) Maria, Joseph and Jim e) Their names are outside the circles. 2 Studentsâ&#x20AC;&#x2122; own work.

1 500g, 2800g, 170g, 740 g 2 288 3 6 times

Student Book 4

Nelson International Maths

Answers

More Venn diagrams (p110)

quadrilateral

2 a) C, D, G, H and J b) E and F c) B and M 3 Even Multiple of 4

4, 8, 12 16, 20, 24

Not multiple of 4

2, 6, 10, 14, 18, 22

Not even

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23

4 Students’ own work.

2 Students’ own work. 3 a) Chair is not alive, should be inside the 4-legged circle, chicken is alive should be in the left-hand circle, carpet should be outside the circles. b) 18 is not odd, it should move into righthand circle; 24 and 12 should be inside the right-hand circle, 17 should be in the lefthand circle, 8 should not be in the righthand circle, should be outside the circles.

5 Students’ own work. A database: big cats (p115) Has spots

Does not have spots

Found in Africa

Leopard

Lion

Not found in Africa

Ocelot

Tiger

Carroll diagrams (p111) 1 a–b) Students’ own work.

Using a database (p116)

Sorting data into three groups (p112)

1 a) wildebeest b) 1.25 m c) Asia d) spots e) Leopard f) Leopard g) Tiger h) Ocelot

1 a) odd, multiples of 3 and multiples of 5 b) 3, 9, 21, 27 c) 6, 12, 18, 24 d) 5, 25 e) It is odd, a multiple of 3 and a multiple of 5 (It fits all the groups).

2 Students’ own work. 3 Students’ own work.

2 a–d) Discussion e) 45 or 75 Using Carroll diagrams to sort data (p114) 1 Red Quadrilateral C D G H J Not

AIKLN

Not red EF BM

Student Book 4

Nelson International Maths

Answers

More sorting (p117)

4 7 and a half jugfulls.

1 a)

Rounding off after division (p121) 1 47 ÷ 3 = 15 remainder 2. 15 beads each. 2 25 ÷ 7 = 3 remainder 4. 3 beads each. 3 89 ÷ 9 = 9 remainder 8. 9 beads each. 4 512 ÷ 10 = 51 remainder 2. 51 beads each. 5 88 ÷ 5 = 17 remainder 3. 17 beads each. 6 60 ÷ 8 = 7 remainder 4. 7 beads each.

2 a) white, has words; white, does not have words; not white, has words; not white, does not have words b) not white, does not have words c) not white, has words d) T- shirts with words e) T-shirts in other colours

Dividing by 10 and 100 (p122)

Dividing by sharing (p118)

Divide or multiply (p123)

1 32 ÷ 5 = 6 remainder 2

1 a) 126 ÷ 14 = 9; 126 ÷ 9 = 14 b) 90 ÷ 15 = 6; 90 ÷ 6 = 15 c) 112 ÷ 14 = 8; 112 ÷ 8 = 14 d) 57 ÷ 19 = 3; 57 ÷ 3 = 19 e) 126 ÷ 18 = 7; 126 ÷ 7 = 18 f) 117 ÷ 9 = 13; 117 ÷ 13 = 9 g) 88 ÷ 8 = 11; 88 ÷ 11 = 8 h) 80 ÷ 16 = 5; 80 ÷ 5 = 16 i) 68 ÷ 17 = 4; 68 ÷ 4 = 17

2 a) 32 ÷ 2 = 16 b) 32 ÷ 3 10 remainder 2 c) 32 ÷ 4 = 8 d) 32 ÷ 7 = 4 remainder 4 e) 32 ÷ 9 = 3 remainder 5 f) 32 ÷ 10 = 3 remainder 2 3 a–b) Children’s own work. Division by repeated subtraction (p119) 1 a) 19 ÷ 5 = 3 rem 4 b) 42 ÷ 5 = 8 rem 2 c) 51 ÷ 5 = 10 rem 1 d) 67 ÷ 5 = 13 rem 2 e) 79 ÷ 5 = 15 rem 4 f) 83 ÷ 5 = 16 rem 3 g) 99 ÷ 5 = 19 rem 4 More dividing (p120) 1 a) 6 rem 2 b) 4 rem 2 c) 7 d) 6 rem 4 e) 8 rem 3 f) 7 rem 1 g) 8 rem 1 h) 7 rem 2 i) 5 rem 3 2 9 boxes, 4 eggs left over 3 No, 29 is an odd number and you cannot halve a student, so there will always be one person left over.

1 a) 4 b) 8 c) 11 d) 24 e) 35 f) 49 g) 52 h) 67 i) 99 2 a) 40 b) 4 c) 40 d) 80 e) 8 f) 80 3 45 books

2 a) 12 b) 12 c) 12 d) 13 e) 6 f) 17 3 a) 89 ÷ 6 = 14 rem 5 93 ÷ 8 = 11 rem 5 180 ÷ 10 = 18 95 ÷ 7 = 13 rem 4 75 ÷ 4 = 18 rem 3 b) 17 c) 85 cents Ratio and proportion (p124) Snake 91 cm; Frog 9.2 cm; Lizard 9.2 cm; Mouse 27.5 cm; Crocodile 2.44 metres

Student Book 4

Nelson International Maths

Answers

Ratio and proportion problems (p125)

Classroom proportions (p126)

1 a) 4.5 mm b) 19 ants c) 600

Item

Length on plan

Length in real classroom

Width of room

4 cm

Length of room

5.6 cm

5.6 m

Length of teacher’s desk

1.5 cm

1.5 m

Length of display board

3.1 cm

3.1 m

Length of student’s table

1.1 cm

1.1 m

Width of student’s table

0.7 cm

0.7 m

2 a) 42 b) 19 with 2 beads left over c) 256 3 440 flowers 4 a) 2 cups flour, 1.5 cups milk, 6 eggs, 8 tsp baking powder, 1 cup sugar, 160 ml melted butter b) 3 cups flour, 2

1 4

cups milk, 9 eggs, 12

tsp baking powder, 1

1 2

cup sugar, 240 ml

melted butter 5 Measure this one and divide the measurement by 3.