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Ready-to-Go-Lessons-for-Maths-Stage-4-answers

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Cambridge Primary Ready to Go Lessons for
Maths Stage 4
Answers to photocopiable pages
Unit 1A: Number and
problem solving
Page 9: 0 to 1000 number lines
The learners do the activity as described in the
Main activities on page 8, positioning three-digit
numbers on the number line.
Page 10: True or false cards
false
true
true
false
true
true
true
true
false
true
false
true
true
false
false
false
true
false
true
true
false
false
false
false
true
false
false
false
false
true
true
true
There are six different ways of making a total of 20
by throwing three darts (counting combinations
only, not permutations):
8, 7, 5
8, 6, 6
7, 7, 6
Page 16: 0 to 9 number fans
The learners do the activity as described in the
Starter on page 15, giving answers to additions.
Page 18: Template for ten-sided
dice
The learners do the activity as described in the
Main activities on page 17, adding two three-digit
numbers.
Page 20: 0 to 100 number line
Give the number line to the learners who need
support to help them find the difference between
two two-digit numbers, as explained on page 19.
Page 22: Subtraction strategies 2
Methods may be personal choice.
4. 544
Page 24: Multiplying and dividing
by 10
1. 3070
2. 1440
3. 2510
4. 1200
5. 318
6. 234
7. 409
8. 756
Mira and Amina should choose option 2, because
they will receive more than twice the amount of
money (a total of $10.24).
Page 14: Dartboard investigation
8, 8, 4
3. 8
Page 26: Doubling puzzle
The learners do the activity as described in the
Main activities on page 11, positioning four-digit
numbers on a number line.
9, 5, 6
2. 117
9. Personal response. Look for the learners
making up questions that involve multiplying
or dividing by 10.
Page 12: Number cards
9, 4, 7
1. 473
Page 28: Multiplication cards
0
14
3
18
0
30
4
16
9
21
15
35
8
18
12
24
20
40
12
20
15
27
25
50
Page 30: Multiplying multiples
of 10
Section A
1. 160
2. 150
4. 240 m
5. 140 kg
3. $150
Section B
Answers will vary, but should be similar to the
questions in Section A.
Page 32: Multiplication grids
The learners do the activity as described in the
Main activities on page 31, multiplying a two-digit
number by a single-digit number.
Page 34: Division cards
6
10
4
9
7
2
6
10
25
2
5
5
1
Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages
5
3
2
8
4
7
5
7
9
8
4
2
Pages 47–48: Time cards 1 & 2
2
3
6
9
Page 35: Division problems
The learners do the activity as described in the
Main activities on page 46, sorting the cards into
groups that show the same time. The correct
groups are shown in rows on photocopiable pages
47 and 48, before they are cut out.
1. 21
2. 15
3. $39.50
4. 18
5. 14
6. 14
1. 7:35p.m.
2. 9:05p.m.
7. 7
8. 8
3. October 2011
4. 36 years from 2014
5. 1989
6. 5 minutes 50 seconds
Page 50: Time problems 1
Page 37: Number problems
1. a) >
b) >
c) <
2. a) 2000 + 600 + 90
c) 700 + 80 + 4
d) >
b) 1000 + 200 + 10 + 5
d) 4000 + 20 + 8
3. a) sum: 68; difference: 42
b) sum: 126; difference: 52
c) sum: 95; difference: 39
d) sum: 116; difference: 48
4. 452
5. 112 6. 180
7. 98 km 8. 16
7. Answers will vary, but should be similar to
questions 1–6.
Page 52: TV schedule problems
1. Lambs’ Tails. 10 minutes.
2. 25 minutes
3. 1 hour 15 minutes
4. 35 minutes
5. Animal Emergency. 15 minutes.
6. 35 minutes
9. 15
7. 1 hour 25 minutes
Unit 1B: Measure and
problem solving
Page 39: Interpreting length
scales
8. 2 hours 50 minutes
9. Answers will vary, but should be similar to
questions 1–8.
Page 54: Measure problems
The learners do the activity as described in the
Main activities on page 38, estimating dimensions.
1. 1.5 kg
Page 41: Which shape is the
largest?
3. Months, weeks and days.
Shapes A, B, C, D, E, F and H are 9 cm2. Shape G is
10 cm2. Shape G is the largest.
5. Personal response.
Page 43: Equivalent mass cards
7. Answers will vary, for example: How long is
it between the end of Register and the start of
Morning break? 1 hour 30 minutes.
100 g = 101 kg
500 g = 12 kg
200 g = 15 kg
6. 2500
Pages 56–57: Data handling cards
1&2
750 g = 34 kg
1500 g = 1 12 kg
250 g = 14 kg
The learners do the activity as described in the
Starter on page 55, matching each diagram with its
name. The correct pairs are shown on photocopiable
pages 56 and 57, before they are cut out.
1000 g = 1kg
2000 g = 2kg
Page 45: Reading volumes
2
4. 8:23a.m.
Unit 1C: Handling data and
problem solving
1250 g = 1 14 kg
1750 ml / 1 litre
750 ml / 1 34 litres /
1.75 litres
250 ml
830 ml
2. Personal response.
650 ml 180 ml
Example questions requiring the learners to
interpret the data in the diagrams are on page 55.
Page 59: Comparing scales
85 ml
350 ml
190 ml
1425 ml / 1 litre
425 ml / 1.425 litres
Example questions requiring the learners to
interpret the data in the bar charts are on
page 58.
Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages
Page 61: Venn and Carroll
diagrams
Example questions requiring the learners to
interpret the data in the diagrams are on page 60.
Page 63: Collecting data
The learners do the activity as described in the
Main activities on page 62, answering questions
by collecting numerical data.
Page 65: Bar charts
Answers to Questions to ask on page 64:
• Yes. They show the same scores for the same
weeks.
• Bar chart 2. There is a greater difference in the
heights of the bars.
Page 76: –20 to 20 number lines
The learners do the activity as described in the
Main activities on page 75, counting on and back
through positive and negative numbers.
Page 78: Complements to 100
and 1000
Section A
1. 79
2. 16
3. 71
4. 44
5. 67
6. 53
Answers will vary, but should be similar to
questions 1–6.
Section B
1. 750
2. 600
3. 50
4. 300
5. 650
6. 250
• Week 2 and week 3.
Answers will vary, but should be similar to
questions 1–6.
• 15 points.
Page 80: Doubling and halving cards
• Week 3 and week 4.
• Answers will vary, but should be similar to the
questions already asked.
Unit 2A: Number and
problem solving
Page 67: Function machine
The learners do the activity as described in the
Main activities on page 66, multiplying and
dividing by 10.
Page 69: Multiples of 10, 100 and
1000 cards
The learners do the activity as described in the
Main activities on page 68, adding and subtracting
multiples of 10, 100 and 1000.
Page 71: Number cards
The learners do the activity as described in the
Main activities on page 70, predicting whether
products will be odd or even.
Page 73: Positive and negative
numbers
The learners do the activity as described in the
Starter on page 72, placing positive and negative
numbers on a number line.
Page 74: Some uses of negative
numbers
Temperatures below
0° C.
Floors below ground
level (basement).
Depth of water below
sea level.
Weight net of the
container.
46
46
300
110
3400
2400
29
38
240
580
1300
8200
94
43
720
180
4600
1200
38
86
160
940
1600
5800
78
32
840
90
7600
800
Page 82: Addition and
subtraction cards
Card 1
Card 2
94
Card 3
51
Card 4
24
Card 5
44
Card 6
87
Card 7
47
Card 8
35
93
Page 84: Addition and
subtraction strategies 2
1. 299
2. 12
3. 294
4. 275
5. 797
6. 6
7. 834
8. 289
Page 86: Number story
calculation cards
Answers will vary; see page 85 for an example.
3
Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages
Page 88: Subtraction wall
465
244
319
263
71
Give the labels to the learners who need support
to give them ideas for sorting shapes into a Carroll
diagram, as explained on page 101.
803
221
338
75
146
582
Page 101: Pairs of labels
117
Pages 103–04: 3D shape
cards 1 & 2
146
192
The learners do the activity as described in the
Main activities on page 102, organising shapes
into groups with a common property.
46
Pages 90–91: Times table
follow-me cards 1 & 2
The learners play the game as described in the
Starter on page 89, answering the questions.
Page 93: Multiplication grid
Pages 106–07: Nets of 3D shapes
1&2
The learners do the activity as described in the Starter
on page 105, matching nets to the shapes they make.
The learners do the activity as described in the
Starter on page 92, looking for patterns in the grid.
Page 109: Symmetrical patterns
in art
Page 95: Round up or round
down?
The learners do the activity as described in the
Main activities on page 108, identifying lines of
symmetry.
1. a) 12 r4
b) 13
c) 12
2. a) 11 r2
b) 12
c) 11
Page 111: Rocket to the moon
3. a) 18 r1
b) 18
c) 19
Answers will vary, for example:
Right 1, up 6, right 3, up 2, right 2.
Page 97: Find the answers
1. –9° C
–4° C
2. a) 290
–1° C
0° C
7° C
12° C
23° C
300
b) 4040
4000
c) 530
500
Page 113: How many degrees?
Less than
90°
a
c
Greater than 90°
but less than 180°
d
90°
3. a) 2450
24 500
b
k
h
b) 6710
67 100
f
n
l
c) 3040
30 400
4. a) 59
c) 82.4
5. a) 94
b) 34
d) 73.9
b) 39
c) 720
d) 210
e) 5000
f) 1900
6. 256
7. 11
Unit 2B: Geometry and
problem solving
Page 99: Polygon
matching cards
The learners do the activity as described in
the Main activities on page 98, matching each
picture with its name and list of properties.
The correct groups are shown in rows on
photocopiable page 99, before they are cut out.
4
g
180°
e
i
p
j
m
o
Page 115: Looking at shapes
1. a) octagon
b) rhombus
c) parallelogram d) kite
2. The third shape is the odd one out because it
is not a prism.
3.
Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages
4.
the same length. The correct groups are shown in rows
on photocopiable page 121, before they are cut out.
9
8
Pages 123–24: Ordering areas 1 & 2
7
Order of shapes according to area:
6
C&D
5
Page 126: Time problems 2
1.
4
3
F
A
8
1
2.
0
1
2
3
4
5
6
7
8
Unit 2C: Measure and
problem solving
3.
7
6
5
The learners do the activity as described in the Starter
on page 117, sorting the cards into groups that show
the same mass. The correct groups are shown in rows
on photocopiable page 117, before they are cut out.
5
3
7
6
5
8
5.
3. 450 ml
3
7
6
5
8
b) 3
6. 14 litres
6.
7. Answers will vary, but should be similar to
questions 1–6.
Page 121: Equivalent length cards
The learners do the activity as described in the Starter
on page 121, sorting the cards into groups that show
4
11 12 1
10
2
9
4. 1015 ml / 1 litre 15 ml
4
11 12 1
10
2
1. 1120 ml / 1 litre 120 ml
5. a) 11
6
9
Page 119: Capacity problems
2. 3000 ml / 3 litres
7
4
11 12 1
10
2
8
4.
4
3
9
Page 117: Mass matching cards
B
11 12 1
10
2
8
9
G
3
9
0
E
11 12 1
10
2
9
2
H
3
7
6
5
4
11 12 1
10
2
9
8
3
7
6
5
4
7. Answers will vary, but should be similar to
questions 1–6.
Pages 128–29: How long does it take? cards 1 & 2
Seconds
running a
sprint race
pouring a
glass of water
writing your
name
Minutes
calling the
register
travelling
to school
singing a
song
dialling a
phone
getting
dressed
Hours
Days
Weeks
Months
Years
watching a
having a
Ramadan
the rainy a child becoming
football match
cold
season
an adult
reading a
decorating the season the football
learning
book
a room
for fresh figs
season
Mathematics
taking a flight taking a
growing
learning to play
holiday
rice
a musical
instrument
watching a
growing an olive
film
tree from a seed
drying dates
celebrating a
wedding
5
Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages
Page 131: Calendar problems
1. Answers will vary depending on the year. In
2014 it is 21 August.
2. 23 June
The correct pairs are shown on photocopiable
page 135, before they are cut out.
Page 137: Converting between
dollars and cents
3. April
1. $3.26
4. 25 August
2. a) 270c
5. Answers will vary depending on the year. In
2014 it is 3 March.
3. 1550
6. 26 June
4. a) 117c
b) 90c
b) $1.17
7. 7 weeks
5. $0.50 54c $0.85 89c $1.87
195c 208c $2.13
8. Answers will vary, but should be similar to
questions 1–7.
6. Answers will vary, but should be similar to
questions 1–5.
Page 133: All sorts of measures
1. a) 900 g
2.
b) 0.9 kg
Eli
Alfie Sámi
Jake
130 cm 125 cm 143 cm 150 cm
Height
in cm
Height
in m
Height
in m
and cm
1.3 m
1.25 m
1.43 m
1.5 m
1m
30 cm
1m
25 cm
1m
43 cm
1m
50 cm
Page 139: Calculations with
negative numbers
1. 3
2. –4
3. –3
4. –2
5. 4
6. –7
7. –1
8. –5
9. 2
10. –6
Page 141: Odd and even cards
b) hours, minutes and seconds
Odd
81
Even
50
c) years
323
812
8575
3354
27
76
499
498
7201
7260
63
22
135
834
2697
6076
19
80
611
910
4703
9402
55
14
387
546
9549
1268
3. a) days / weeks / weeks and days
4. a) 12 m
5. a)
b) 48 m
11 12 1
10
2
9
8
b)
3
7
6
5
4
11 12 1
10
2
9
8
c)
3
7
6
5
4
11 12 1
10
2
9
8
3
7
6
5
6. a) 8:25p.m.
4
b) 12:45p.m.
c) 6:50a.m.
Unit 3A: Number and
problem solving
Page 135: Multiplying and
dividing by 100 cards
The learners do the activity as described in the
Main activities on page 134, finding pairs of
cards 100 times larger or smaller than each other.
6
Page 143: Continuing number
sequences
1. a)
3
5
7
9
b) –4
0
4
8
c) –10
–5
0
5
d) –2
–5
–8
–11
e)
–2
–12
–22
–32
f)
–8
–13
–18
–23
Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages
2. Answers will vary, but should be similar to
question 1.
Page 158: Subtraction problems
1. 395 km
2. 7 ml
Page 145: Fraction match cards
3. 494
4. 13
The learners do the activity as described in the
Starter on page 144, sorting the cards into groups
that show the same fraction. The correct groups
are shown in rows on photocopiable page 145,
before they are cut out.
5. 11
6. $8
7. 197
8. 397
Page 146: Fraction chart
The learners do the activity as described in the Main
activities on page 144, finding equivalent fractions.
Page 148: Tenths in fractions and
decimals
Page 160: Doubling puzzle
1. 200 goes in the central circle. 420 and 340 go
across (in either order). 120 and 160 go down
(in either order).
2. Answers will vary, but should be similar to
question 1.
Page 162: Multiplication and
division problems
1
10
= 0.1
2
10
= 0.2
3
10
= 0.3
4
10
= 0.4
5
10
= 0.5
6
10
= 0.6
7
10
= 0.7
8
10
= 0.8
9
10
= 0.9
2. –13° C
10
10
=1
3. a) 11, 14, 17
1. 21
2. 180 cm
3. 150 g
4. 102 years old
5.
Page 164: Solve the problems
1. 1.28 m
b) 258 cm
Page 152: Finding fractions of
numbers
2. 9 figs
4. 5 litres
5. 4 cupcakes
6. 8 pages
7. 7 kg
8. $5
900
700
500
350
150
c) 2.58 m
c) 188, 198, 208
4. a) 101 , 102 , 104 , 105 , 107 , 109
b) 28 , 38 , 48 , 58 , 68 ,
c) 16 , 15 , 14 , 13 ,
5.
1
2
– 0.5
3
4
– 0.75
1
4
– 0.25
1
10
– 0.1
1
5
– 0.2
7
8
1
2
6. 159
Page 154: Multiples of 50 cards
950
750
550
400
200
a) 130 cm
b) –1, –3, –5
The learners do the activity as described in the
Main activities on page 149, ordering the fractions
from smallest to largest. The correct order is
shown on photocopiable page 150, before the
cards are cut out.
3. 6 children
6. 9
7. 9
Page 150: Fraction cards
1. 7 children
8 m2
850
650
500
300
100
800
600
450
250
50
Page 156: Near multiples of 10
and 100
The learners do the activity as described in the
Main activities on page 155, adding three-digit
numbers to the numbers on the photocopiable
page.
Unit 3B: Measure and
problem solving
Page 166: Time: a.m. and p.m.
The learners do the activity as described in the
Main activities on page 165, indicating times on
the circle.
Page 168: Cinema timetable
problems
1. Dinosaur Dreams and The Detective Club
2. 1 hour 55 minutes
3. 6:24p.m.
4. No (it will finish at 4:17p.m.)
7
Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages
5. 7:35p.m.
c)
6. Answers will vary, but should be similar to
questions 1–5.
11 12 1
10
2
9
8
Page 170: Units of time cards
3
7
6
5
4
The learners do the activity as described in the
Starter on page 169, ordering the units of time
from shortest to longest. The correct order is
shown on photocopiable page 170, before the
cards are cut out.
2. 700 ml
Pages 172–73: Length follow-me
cards 1& 2
6. 1650 ml / 1.65 litres / 1 litre 650 ml
The learners play the game as described in the
Starter on page 171, answering the questions.
Page 175: Rectangles
A: A = 30 cm2 P = 22 cm
B: A = 18 cm2 P = 22 cm
C: A = 32 cm2 P = 24 cm
D: A = 12 cm2 P = 14 cm
E: A = 60 cm2 P = 32 cm
F: A = 30 cm2 P = 26 cm
G: A = 48 cm2 P = 32 cm
Page 177: Maximum loads
Answers will vary, depending on the mass of the
learners.
Page 179: Capacity problems 2
3. a) 40 cm2
4. 2000 cm
5. 6:03p.m.
Unit 3C: Handling data and
problem solving
Page 183: Same data, different
diagrams
Example questions requiring the learners to
interpret the data in the diagrams are on page 182.
Page 185: Same data, different
scales
80
60
40
20
0
1. 950 ml
2. a) The blue jug
b) 26 cm
September November
January
March
May
July
September November
January
March
May
July
b) 150 ml
3. 2250 ml / 2.25 litres / 2 litres 250 ml
4. 6250 ml / 6.25 litres / 6 litres 250 ml
80
70
5. 97 12 litres
6. Answers will vary, but should be similar to
questions 1–5. The answers are:
a) 3200 ml / 3.2 litres / 3 litres 200 ml
b) 3750 ml / 3.75 litres / 3 litres 750 ml
c) 16.5 litres
Page 181: Looking at measures
1. a)
11 12 1
10
2
9
8
b)
3
7
6
5
11 12 1
10
2
9
8
8
4
3
7
6
5
4
60
50
40
Page 187: Carroll and Venn
diagrams
Example questions requiring the learners to
interpret the data in the diagrams are on page 186.
Page 189: Data diagram cards
The learners do the activity as described in the
Starter on page 188, sketching diagrams.
Page 190: Data handling
questions
Personal response.
Cambridge Primary Ready to Go Lessons for Maths Stage 4: Answers to photocopiable pages
Page 192: Looking at data
1. Answers will vary, but should show the data
provided.
2. Answers will vary, for example:
How many more sunglasses were sold on
Monday than Tuesday?
How many sunglasses were sold in total
during the week?
On which day were the fewest sunglasses
sold?
How many sunglasses were sold on the
weekend?
9
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