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Page 81
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
What part of the ribbon is grey and what part is white? Write an addition and asubtraction about each ribbon.
Fill in the missing fractions.
11111
a)1
3
1
4
1
6
1
9
1
2
1
12
b) 2
3
3
4
5
6
5
9
2
2
7
12
How many apples are in:
of the 36 apples?
22222
33333
a)15
+ = 1 + = 1 – = 1 – = 135
65
45
b)38
+ = 1 + = 1 – = 1 – = 188
108
88
c)710
+ = 1 + = 1 – = 1 – = 1510
2010
510
a)
3+ = = 1
– =12
b)
6+ = = 1
– =1
i)
ii)
i)
ii)
c)
4+ = = 1
– =1
d)
+ = = 1
– =1
i)
ii)
i)
ii)
1
36
9 6
30
4
20
3
21
21 3
3 3 6 6
5 1
3 3
6 10 3 4
6 4
10 10
3 1
4 4
1010 10
15 6
44 4
6 6
1
4
5
2
0
3 5
1
2
9
16
10 15
5
8
5
8
5
8
5
8
10 10 10 10
18 12
24 27
0 or
Page 82
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
Each rectangle is 1 unit. Write an addition and a subtraction about each diagram
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Write the additions and subtractions with fractions in your exercise book andcalculate the results.
a) 1 third + 1 third b) 1 half + 1 half + 1 half1
3 + 1
3 = 2
3
1
2 + 1
2 + 1
2 = 3
2 = 1 1
2
c) 3 quarters – 1 quarter d) 2 fifths + 2 fifths3
4 – 1
4 = 2
4 = 1
2
2
5 + 2
5 = 4
5
e) 5 sixths – 4 sixths f) 1 seventh + 3 sevenths – 4 sevenths5
6 – 4
6 = 1
6
1
7 + 3
7 – 4
7 = 0
7 = 0
g) 3 eighths + 10 eighths – 5 eighths h) 8 ninths – 3 ninths3
8 + 10
8 – 5
8 = 8
8 = 1 8
9 – 3
9 = 5
9
i) 10 tenths – 7 tenths + 2 tenths j) 10 tenths – 8 tenths – 1 tenth10
10 – 7
10 + 2
10 = 5
10 = 1
2
10
10 – 8
10 – 1
10 = 1
10
Calculate the sums and differences.
a)12
+ 12
= 2
2 = 1 b)
35
+ 15
= 4
5
c)23
–13
= 1
3d)
34
–24
= 1
4
e)45
– 45
= 0
5 = 0 f)
66
+ 16
= 7
61
1
6=
g)7
10 –
410
= h)3
20 +
020
= 3
20
Hedgehog lives 400 m away from Squirrel.One day, Squirrel went to visitHedgehog. In the first minute, Squirrel covered 2 fifths of the route. In thesecond minute, Squirrel covered another 2 fifths of the route.
How many metres did Squirrel still have to go? 15 of 400 m = 400 5 = 80 m
11111
a) b) c) d) e)
22222
44444
720
+ 1320
= 11420
+ 620
= 120
+20
= 1 1220
+ 820
= 1 920
+ 1120
= 1
620
_ 1320
=_= 1020
_ _= _
1010
111111420
720
1020
820
1220
=20 20
=11 9
33333
3
10
..
E.g:
Page 83
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
3
5
11111
Join up the equal numbers.
Each rectangle is 1 unit. Colour the parts given.
Complete the diagrams to match the problems.
a) The distance between two cities is 369 km.
A family drove 1 third of the distance beforelunch and completed the journey after lunch.
How far did they drive
i) before lunch ii) after lunch?
b) Some men are laying a pavement.
They have already paved 120 m,which is 2 thirds of the pavement.
i) How much do they still have to do?
ii) How long will the finished pavement be?
a)15
+ 15
+ 15
= b)38
+ 28
= c)7
12 –
212
=
d)1120
–9
20 = 2
201
10= e)
710
+ 35
= = f)34
– 38
=
22222
33333
44444
25
36
410
1020
2
12
510
43
52
63
421
13
6 7 4 4 8 4 4 km
km
(part)
km
1 2 3
1 2 3
(part)
m
(part)
m
(part)
m
1 2 4 4 4 3 4 4 4
6 7 4 4 8 4 4
6 7 4 8 4
58
5
12
38
13
23
123 246
13
23
120 60
180
13
101
3
10
E.g:12
a)24
34
48
23
b)46
69
1218
369
Page 84
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111
44444
0 1 2 3
b)
c)
a) + + =12
34
12
– =45
15
+ – =56
26
46
0 1 2
0 1 2
22222
33333
a
b
310
110
810
510
710
510
1210
410
1
110
215
3110
45
9
10
6
10
6
10
27
104
10
Sam has equal numbers of all the trees.
Sam has 20 plum trees.
They are 14 of all Sam's trees.
Solve the problem. Do the calculations in your exercise book.
Sam has 80 fruit trees. Two eighths of them are apple trees, one quarter of themare pear trees, four sixteenths of them are cherry trees and the rest are plum trees.
a) What kind of tree does he have most of? . . . . . . . . . . . . . . . . . . . . .
b) i) How many plum trees does Sam have? . . . . . . . . . . . . . . . . . . . . .
ii) What fraction of all Sam's trees are they? . . . . . . . . . . . . . . . . . . . . .
Use the number lines to help you do the additions and subtractions.
Solve the problems in your exercise book. Remember to convert the units.
a) Mum bought a loaf which weighed 34
kg. Rob ate 15
of it.
How much bread did Rob eat?
b) Diane spent £616, which was 25
of her money.
How much money did Diane have before?
Work out the rule and complete the table. Write the rule in different ways.
Rule:
35
134
36 = 1
2
150 g
£1540
210=
810=2
5
10
0
b = a +4
10 or a = b 4
10 or b a = 4
10 (a b = 4
10 )
Page 85
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111 Compare the solids to the 1 unit. Complete the table.
Do the additions and subtractions.
a) 63 chairs + 58 chairs + 120 chairs =
b) 3 quarters + 2 quarters + 1 quarter =
c) 4q + 7q + 11q = d)37
+ 27
+ 47
– 57
=
e) 312 chicks + 243 dogs – 250 chicks + 21 dogs =
f) 4a + 6a + 8b – 5b = g)12
+ 14
+ 34
+ 12
=
Fill in the missing fractions.
Solve the problems in your exercise book.
a) David ate 2 fifths of a 500 g bar of chocolate. How many grams did he eat?
b) Marion spent £318, which was 2 thirds of her money. How much did shehave at first?
a)
b)
e)
c)
1 =
1 =
1 =
1 =d)
1 =
22222
a)16
+ = 1 + = 1 – = 1 1 – = 34
43
25
b)37
+ = 1 + = 1 – = 158
1 – = 49
76
33333
44444
16
16
8
8
4
4
2
2
6
6
816 =
12
416 =
14
216 =
18
616 =
38
168 = 2
48 =
12
28 =
14
68 =
34
164 = 4
84 = 2
24 =
12
162 = 8
82 = 4
42 = 2
62 = 3
46 =
23
26 =
13
64 = 1 2
4 = 1 1
2
86 = 1
26 = 1
13
166 = 2
46 = 2
23
241 chairs
1 12
22q
10a + 3b 2
62 chicks + 264 dogs
47
56
14
13
35
47
38
16
59
David ate 200 g.
Marion had £477 at first.
(= 326 animals)
Page 86
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111
44444
22222
33333
6 1 75
d)
6 3 57
1+
0 2 87
2 0
e)
52 04–
f)
1 0 86
67 23–
b)
6 ×
c) 3 69 ×
7 d)8 76
e)7 39 6
8 7
1380 1540 1700 +160
81 27 9
5500 4900 4400
3..
The difference is decreasing by 100.
E.g:
8 8 7 0 1 4 1 2 2 3 8 2
1 4 r 3 8 1 r 7
5 2 2 6 6 2 4
69
79
89 + 1
9
56
48
912 =
34
610 = 3
5
120 40 900
b)
c)23
a)13
1 1 1
4 sevenths
1 1 1
10
2
1 1
0 1 32
1 1 1
1
6 7 8
6 7 8
0 1
Continue each sequence for 3 more terms. What rule did you use?
a) 740, 900, 1060, 1220, , , , Rule:
b) 6561, 2187, 729, 243, , , , Rule:
c) 8900, 7900, 7000, 6200, , , ,
Rule: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
d)29
, 39
, 49
, 59
, , , , Rule:
Show the fractions in different ways.
a) 4100 + 810 + 70 + 2400 =
b) 5210 – 2300 = c) 3050 – 2500 + 800 =
g) 2 sixths + 3 sixths = h) 7 eighths – 3 eighths =
i)5
12 +
112
+ 3
12 = j)
910
– 3
10 =
a) i) 40 × 3 = ii) 280 ÷ 7 = iii) 30 × 30 =
7380
2910 1350
= 12
Page 87
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111
Write an equation and calculate the missing number in your exercise book.
a) We thought of a number. If we added 420 to it we wouldget 3150. Which number were we thinking of?
b) We thought of a number. If we subtracted 200 from it wewould get 5002. Which number were we thinking of?
c) We thought of a number. If we multiplied it by 7 wewould get 203. Which number were we thinking of?
d) We thought of a number. If we divided it by 7 we would get 203. Which number were we thinking of?
Fill in the missing numbers.
a) 438 + = 1000 b) – 4500 = 2900
c) 8200 – = 2800 d)38
+ = 78
e) – 2
15 =
1115
f) 1 – = 47
Fill in the missing numbers.
a) 9 × = 387 b) ÷ 9 = 387 c) 378 ÷ = 7
d)13
× = 33
e) ÷ 2 = 25
f) 58
÷ = 18
a) Complete the table if this is the rule. Rule: B = 2 thirds of A.
Write the rule in a different way. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
b) Find a rule and complete the table. Write the rule in different ways.
22222
33333
44444
A
B
3 6 9 12 15 18 21 24 27 30 33
2 4 24 26 28 30
450
70
34
25
5
Rule:
X
Y
1 2
25
1 25
35
0
45
15
35
125
135
65
5 25
20
40
36 39 42 45 105 7
6 8 10 12 14 16 18 20 22 300
35
12
24
2730
5202
29
1421
x + 420 = 3150so 3150 – 420 = x x = 2730
x 7 = 203so x = 203 7
x = 1421
x 7 = 203so x = 203 7
x = 29
x – 200 = 5002so x = 5002 + 200
x = 5202
562 7400
540048
1315
37
43 3483 54
345 5
65
95 6 40 42 60 73
19 41 60 72
35
35
15
45
105
25
25
35
E.g: E.g: E.g:
A = B 2 3 or B = A 3 2or B = A 2 3 or A = B 3 2
X = Y + 35 or Y = X
35 or X Y =
35 (Y X =
35 )
Page 88
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
Solve the problem in your exercise books. Write the answer here.
A roll of film is 675 m long.
a) How long are 9 rolls of film? . . . . . . . . . . . . . . . . . . . . . . . .
b) How long is 3 fifths of a roll of film? . . . . . . . . . . . . . . . . . . . . . . . .
Complete the table.
Complete the table.
Complete the tables to show the capacity and mass of clear water at 4° Celsius.
11111
22222
Capacity
1 half
1 quarter
1 tenth
1 fifth
2 fifths
3 tenths
100 litres 800 litres 1 litre 8 litres 10 cl 80 cl
cl cl ml ml
cl cl ml ml
cl cl ml ml
cl cl ml ml
cl cl ml ml
cl cl ml ml
l l
l l
l l
l l
l l
l l
33333
Mass 1 kg 12 kg 24 kg 200 g 400 g 6 tonnes
g g g kg12141
101525
g g
g g g kgg g
g g g kgg g
g g g kgg g
g g g kgg g
44444
Capacity 1 litre 7 litres litre
gMass 1 kg 4 kg 250 g
100
50 kg g
12
34 litre
a)
Capacity 1 ml 8 ml 1 cl
Mass 1 g 13 g 10 g
200 ml
50 g
ml
b)121
l l
(9 675 = 6075) 6075 m
(675 5 3 = 405) 405 m..
50 400 50 400 50 400
25 200 25 200 25 200
10 80 10 80 10 80
20 160 20 160 20 160
40 320 40 320 40 320
30 240 30 240 30 240
500 6000 12000 100 200 3000
250 3000 6000 50 100 1500
100 1200 2400 20 40 600
200 2400 4800 40 80 1200
400 4800 9600 80 160 2400
4 litres14 50 litres
7 kg 500 100 kg 750
13 ml 10 ml 50 ml
8 g 10 g 200 g 1 12 g
Page 89
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111
a) 5600+ 500 + 300 + 200
b) 5600
c) 5600
+ 400
+ 200 + 400 + 300+ 500
– 500 + 300 – 200+ 400
d) 5600
e) 5600
– 500 – 300 – 200– 400
– 200 – 400 – 500– 300
44444
Fill in the missing numbers.
Write a plan, estimate, calculate, check and write the answer as a sentence inyour exercise book.
a) A farmer collected the cherries from his orchard and packed them inboxes. Each box held 18 kg of cherries.
He filled 79 boxes and loaded them on a lorry to take to the supermarket.If an empty box weighed 2 kg, what was the total load on the lorry?
b) The total mass of 8 containers of building material is 5600 kg.
If the containers weighed 1600 kg in total when they were empty, howmuch building material is in each container?
a) How many small squares are needed to cover thisrectangle?
b) Draw a rectangle which needs:
of this number of small squares to cover it.
Complete the table to show different parts of the total number of walnuts.
22222
small squares
33333
12
Part oftotal
Number of
13
16
32
33
36
23
46
63
i) 12
ii) 23
iii) 34
iv) 59
6000 6500 6800 7000
6100 6300 6700 7000
6000 5500 5800 5600
5200 4700 4400 4200
5300 5100 4700 4200
The total load was 1580 kg.
There was 500 kg of building material in each container.
36
E.g:
6 4 2 18 12 6 8 8 24
Page 90
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111
b)
c)12
a)14
1 1 1
three fifths10
1
1 1 1
6 7 8
0 1
0 1 2
1
1 1 1
6 7 8
22222
b)
7 ×
c) 6 86 ×
3 d)9 35
e)5 47 6
4 7
33333
A
B
0 5 10 15 20 25 30
14 16 18 200 2
100
100
2
44444
55555
2 litres 4 litres 44 litres
5 km 3 km 6 km
1 kg 1 kg 6 kg
120 40 1600 12
Show the fractions in different ways.
Practise calculation.
a) 30 × 4 = 360 ÷ 9 = 40 × 40 = 240 ÷ 20 =
Complete the table if the rule is : B = 2 fifths of A.
Write the rule as: A = . . . . . . . . . . . . . . . . . . . . . . .
Which numbers can be written instead of the star?
a) 1525 < < 1530 : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
b) 611
≤ < 1 : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
c) 118
≤ < 112
: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Round these measures to the nearest
a) litre: 234 cl ≈ 375 cl ≈ 4390 cl ≈
b) km: 4.6 km ≈ 3 km 45 cm ≈ 6390 m ≈
c) kg: 13
8 kg ≈ 1456 g ≈ 5.5 kg ≈
1 8 r 3 7 8
3 2 9 2 2 0 8
35 40 45 50 250
4 6 8 10 12 40 45
,
1526, 1527, 1528, 1529
E.g:611 , 7
11 , 811
911 , 10
11
E.g: 118 , 1 2
8 , 1 38
B 2 5E.g:
Page 91
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
Change the quantities to the units required and write them in the table.
Write the sums in the table.
Write the quantities in different forms in your exercise book.
a) i) £4.99 ii) £41.05 iii) £204.50
b) i) 4.3 cm ii) 63.5 cm iii) 8.24 m iv) 57.06 m
a) Draw these lines with a ruler in your exercise book and label them.
a = 87 mm, b = 11.6 cm, c = 6 cm 4 mm, d = 75
10 cm
b) Measure the length of these line segments and write it in different forms.
i)
ii)
11111
22222
a) 5 10 + 3 1 + 2
6 1 + 8 + 4
H T U t h100 10 1 1
101
100
d) 9 + 2
6 10 + 0 1 + 3
b)
c)
e)
× × × 110
× × × × 110
× × ×110
× 110 ×
3 100 + 4 10 + 7 1 + 51
1001
100× × ×
110
33333
44444
a) 35 cm 6 mm =
1 m 20 cm 4 mm =
3208 mm =
H T U t h100 10 1 1
101
100
b) 1 m 63 cm =
28 m 40 cm =
605 cm =
£8 70 p =
£41 5 p =
£120 15 p =
3648 p =
(cm)
(m)
(£)
c)
4.3 cm, 43 mm
11.8 cm, 118 mm
3 5 6
1 2 0 4
3 2 0 8
1 6 3
2 8 4 0
6 0 5
8 7 0
4 1 0 5
1 2 0 1 5
3 6 4 8
5 3 2
3 4 7 5
6 8 4
0 9 2
6 0 3
499 p 4105 p 20450 p
43 mm 635 mm 824 cm 5706 cm
4105 p
E.g:
Page 92
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
Join up the decimal numbers to the matching point on the number line.
Continue the pattern. Write the decimal numbers as fractions below the line.
Find equivalent fractions in the diagram. Write them as decimals too.
Complete the table and the equations. Follow the pattern.
Convert the quantities. Follow the pattern. Fill in the missing numbers.
a) 5 cm 8 mm = 5 8
10 cm = 5.8 cm
36 cm 5 mm = cm = cm
b) 8 m 63 cm = 863 cm = 8 63
100 m = 8.63 m
1 m 24 cm = cm = m = m
25 m 70 cm = cm = m = m
11111
3210
0.2 0.5 0.8 1.1
22222
33333
44444
1 = 1010
1 = 22
1 = 55
2 10 + 5 1 + 1 + 8
H T U t h100 10 1 1
101
100
8 100 + 0 10 + 3 1 + 4
× × × 110
× ×
× = 25 + 1100
= 25.18181002 5 1 8
0 4 3
6 5 7
1 = =
= =
= = × ×
= 26 + = 710
= 10.05=
110
8 0 3 4
2 6 7
1 0 0 5
1.4 1.7 2 2.3 2.6 2.9 3.2
210
1110
1410
2310
2910
2610
1710
510
810
210 =
15 = 0.2
610 =
35 = 0.6
410 =
25 = 0.4
810 =
45 = 0.8
510 =
12 = 0.5
1010 =
55 = 1.0
104 +3
10 104.3
6 +57
100 6.57
803 +4
10 803.4
26.7
10 +5
100
1
1 100 0 10 4 1 31
10× + × + × + ×
2 10 6 1 71
10× + × + ×
1 10 0 1 01
105
1100
× + × + × + ×
36510 36.5
124 1 24100 1.24
2570 25 70100 25.70
3210
6 1 51
107
1100
× + × + ×
Page 93
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111 Fill in the missing numbers and write the quantities in the place-value table
using the units given.
Write the numbers in increasing order in your exercise book.
a) 9999, 683, 2015, 71, 452, 3, 2009, 460
b)4
15,
1415
, 1115
, 1
15,
2015
, 3
15,
1615
, 3015
c) 0.3, 3.1, 7.0, 0.08, 0.32, 7, 0.4, 6.9
Compare the pairs of numbers and fill in the missing signs. (<, >, =)Use the diagrams to help you.
Calculate the quantities and compare each pair. Write <, > or = in the boxes.
15 m + 8100a) m + m = m cm
H T U t h100 10 1 1
101
100
(m)
(m)
( )
(£)
(kg)
300.45 m =b) m cm
110
7 litres =c) litres cl 8100
£106.80 = £d) p
28.5 kg =e) kg g
l
22222
33333
44444
d) 0.25 of £220 =
c) of 28 kg = 0.5 of 14 kg =14
b) 0.6 of 150 litres =
a) of 450 m = 0.28 of 1 km =15
of 100 litres =710
of £90 =34
1 5 1 8
3 0 0 4 5
7 0 8
1 0 6 8 0
2 8 5
15 18
300 45
7 8
106 80
28 500
< < >
< < >
< > <
= > <
> < >
a) 0.9210
710
810 0.6 0.3 1
b) 0.7015100
72100 0.52 0.49
43100
1c) 0.27 0.30.04 0.1
210
18100
d) 0.60.215
0.33
10
e) 0.5117100 0.53
15
310
78100
25
<
>
=
<
3, 71, 452, 460, 683, 2009, 2015, 9999
115
315
415
1115
1415
1615
2015
3015
, , , , , , ,
0.08, 0.3, 0.32, 0.4, 3.1, 6.9, 7.0 = 7
7 kg
90 m
90 litres
£55 £67.50
7 kg
70 litres
280 m
Page 94
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111 Convert the fractions to decimals and the decimals to fractions.
Fill in the missing numbers.
a) i)12
litre = ml ii)14
m = cm = mm
iii)15
kg = g iv)1
10 km = m
b) i)34
m = cm = mm ii)25
litre = ml
iii) 212
km = m iv)3
10 hour = minutes
c) i) 0.1 km = m ii) 0.2 litre = ml
iii) 0.3 m = cm = mm iv) 0.7 kg = g
d) i) 1.3 kg = g ii) 2.5 km = m
iii) 5.6 m = cm = mm iv) 6.25 litres = ml
Solve the problems in your exercise book.
a) A group of friends went on a 3-day trip. They covered 4 tenths ofthe journey on the first day and 0.3 of the journey on the second day.
How much of the journey would they have to do on the 3rd day?
b) Lucy spent 1 and a half hours on her homework. She spent 0.4 of the timeon mathematics. How long did she spend on mathematics? How long didshe spend on other subjects? i) 36 mins ii) 54 mins
c) Sam spent £72, which was 0.6 of his savings, on Christmas presents.How much had Sam saved? £120 How much did he have left?
22222
33333
a)1 =1
2
1010
1 = 100100
=22
=52
= 12
=
b) 0.1 = 0.2 = 0.5 = 0.9 =
c)14
=34
= 194
=
d) 0.17 = 0.30 = 2.1 = 6.5 =
e) 1.2 = 3.80 = 12.05 = 0.75 =
6
14
=2
0.5 1 2.5 6.5
110
910
0.25 0.75 2.25 4.75
17100
310
2110
6510
115 3
45 12
120
4
10
3
10
7
10+ =
310
4
1090 10 4of 90 = ÷ ×
500 25 250
200 100
75 750 400
2500 18
100 200
30 300 700
1300 2500
560 5600 6250
34
510 = 1
2210 =
15
£48
110 of savings
= £12
Page 95
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111 Write the sums in the table.
Join up the decimal numbers to the matching points on the number line.
Write the decimal numbers as fractions below the number line.
Continue each sequence for 3 more terms. Write the rule you used.
a) 0.1, 0.5, 0.9, 1.3, , , , Rule:
b)18
, 38
, 58
, 78
, , , , Rule:
c) 8, 4, 2, 1, , , , Rule:
d) 2.1, 1.9, 1.7, 1.5, , , , Rule:
Calculate the quantities and give the answer in the units asked for.
a)12
of 35 m = m = m cm = cm
b) 0.2 of 2 kg = kg = g
c)34
of 10 litres = litres = litres cl = cl
d) 0.25 of £22 = £ = £ p = p
Tim watched television for 2 and a half hours. He spent 0.6 ofhis time watching sport. For how long did he watch sport? . . . . . . . . . . . . . .
a) 4 100 + 5 1 + 3
1 100 + 3 + 9
H T U t h100 10 1 1
101
100
d) 9 + 2
7 1 + 5
b)
c)
e)
× × × 110
× × × 1100
× × ×110
× 110 ×
7 10 + 1 1 + 4
1100
1100
× ×1
100
22222
33333
44444
55555
4 0 5 3
7 1 0 4
1 0 0 3 9
0 9 2
7 0 5
..
+ 0.4
+ 28
2
– 0.2
17.5 17 50 1750
0.4 400
7.5 7 50 750
5.50 5 50 550
90 mins
310
710
2101 5
101 8101 95
100110
0.3 1.2 1.5 1.8
2
0.7 1.95
1.7 2.1 2.5
118 1
38 1
58
12
14
18
1.3 1.1 0.9
Page 96
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
Add the quantities in the different units. Write the addition in the table.
Subtract the quantities in the different units. Write the subtraction in the table.
Calculate with fractions and decimals. Follow the example.
b) Calculate 6.81 – 2.7 in your exercise book in the same way.
11111
a) 1.1 m + 230 cm + 8600 mm
In mm In cm In m 10 m 1 m 10 cm 1 cm
b) 13.4 litres + 1580 cl + 2500 ml
In ml In cl In litres 10 1 1 cl l l 10 cl
a) 4.73 m – 210 cm
In mm In cm In m
b) 18.6 litres – 7900 ml
In ml In cl In litres 10 1 1 cl l l 10 cl
1 m 10 cm 1 cm
22222
33333
1 1 0 0 1 1 0 1 . 1
2 3 0 0 2 3 0 2 . 3+ 8 6 0 0 + 8 6 0 + 8 . 61 2 0 0 0 1 2 0 0 1 2 . 0
1 8 6 0 0 1 8 6 0 1 8 . 6 0
7 9 0 0 7 9 0 7 . 9 01 0 7 0 0 1 0 7 0 1 0 . 7 0
– – –
1 1 02 3 08 6 0
1 2 0 0
1 3 4 01 5 8 0
2 5 03 1 7 0
4 7 32 1 02 6 3
1 8 6 07 9 0
1 0 7 0
1 3 4 0 0 1 3 4 0 1 3 . 4
1 5 8 0 0 1 5 8 0 1 5 . 8+ 2 5 0 0 + 2 5 0 + 2 . 53 1 7 0 0 3 1 7 0 3 1 . 7
+
+
4 7 3 0 4 7 3 4 . 7 3
– 2 1 0 0 – 2 1 0 – 2 . 1 02 6 3 0 2 6 3 2 . 6 3
–
–
a) 910
90100
4.9
10.23
7.04
=
=
=+
4 + =
=
=
4 + =
=
=
4.90
= =22.17 = 22 +1
10 +7
100 22 +17
100 22.17
6.81 = 6 +8
10 +1
100 = 6 +81
100 = 6.81
2.7 – 2 7
10 – 2 + 70
100 = 2.70–
4.11 4 + 1
10 +1
100 4 +11
100 = 4.11
–
E.g:
10 +210 + 10 +
23100 10.23
7 + 010 +
4100 7 +
4100 7.04
3100
Page 97
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111
Continue each sequence for the next 5 terms. Write down the rule you used.
a) 0.2, 0.4, 0.6, 0.8, . . . . ., . . . . ., . . . . ., . . . . ., . . . . .,
b) 12.1, 11.8, 11.5, 11.2, . . . . ., . . . . ., . . . . ., . . . . ., . . . . .,
c) 4.7, 5.9, 7.1, 8.3, . . . . ., . . . . ., . . . . ., . . . . ., . . . . .,
d) 1, 1.1, 1.3, 1.6, 2, 2.5, . . . . ., . . . . ., . . . . ., . . . . ., . . . . .,
Rule: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Calculate these quantities. Write the operation, then give the result in cm and m.Follow the example.
a) 1
4 of 3 m = 300 cm ÷ 4 = 75 cm = 0.75 m
b) 3
4 of 1 m = = =
c) 1
5 of 2 m = = =
d) 2
5 of 1 m = = =
e) the sum ofb) and d) = = =
Estimate the result by rounding the numbers to the nearest whole number.Write the additions and subtractions in the tables.
22222
33333
a) 1.1 + 42.6 + 0.8 b) 62 + 6.2 + 0.62
c) 22.5 – 13.7
T U t
d) 32.8 – 13
T U t
e) 32 – 13.7
T U t
≈
T U t
≈
T U t h
≈ ≈ ≈
1.0 1.2 1.4 1.6 1.8 + 0.2
10.9 10.6 10.3 10.0 9.7 – 0.3
9.5 10.7 11.9 13.1 14.3 + 1.2
3.1 3.8 4.6 5.5 6.5
The differences between terms are increasing by 0.1.
100 cm..
3100 cm 4 0.75 m
200 cm 5 40 cm 0.40 m
100 cm 5 40 cm 0.40 m
115 cm 1.15 m
..
..2
75 cm+ 40 cm 115 cm
1 1
4 2 6
0 8
4 4 5
2 2 5
1 3 7
8 8
6 2
6 2
0 6 2
6 8 8 2
3 2 8
1 31 9 8
3 2 0
1 3 7
1 8 3
– – –
+ +
1 + 43 + 1 = 45 62 + 6 + 1 = 69
23 – 14 = 9 33 – 13 = 20 32 – 14 = 18
25 cm3
= 75 cm
Page 98
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111 Calculate the sums and differences in different ways.
a) 6.8 + 4.7 =
b) 2 1
10 + 3
410
=
c) 5.2 – 1.6 =
d) 6 8
10 – 1
710
=
e) 4 3
10 + 11.8 =
f) 7.2 – 3 6
10 =
Charlie went on a shopping spree. He spent £29 80 p on food, £37.60 on tools,£30.50 on things for his house and £38.50 on clothes.
a) How much did Charlie spend altogether?
b) How much money did he have left if he had £200 to start with?
22222 a) 2 4
0 37 2+
d) 0 89 46
02 90
0064
+ 1
18
b) 2 15 60 7+
4
e) 0 54 6
1 7+
15
32
f) 30 9
0 5+
1
3
c) 3 67 25
19 8+
21
4
a) 9 66 2–
42
56 71
8–
41
f) 4 05 6– 3
2 19
48–
b) 9 52 6–
85
c) 5
d) e) 5 63–
493
6
33333
44444
9 9 . 9 4 8 . 4 6 3 6 . 6
7 4 3 7 . 1 3 8 . 3 2 1 6 .9 5
3 3 . 4 3 6 . 9 3 3 . 2 5
6 9 . 1 3 2 6 . 3 4 4 . 4
£136.40£63.60
11.5
5.5
3.6
5.1
16.1
3.6
Page 99
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
How much of each shape has been shaded? Join up the fractions tothe matching diagrams.
Which number is more? How much more? Write the missing signs and differences.
a) 0.7 0.32 b) 5.8 7.1 c) 2.5 2.05
d) 0.50 0.5 e) 3.2 4 f) 0.6 0.66
Solve the problem in your exercise book.
The sides of a rectangular play area are 54.8 m wide and 23.6 m long.
How much fencing is needed to surround the play area if the gate is 1.8 m wide?
Which numbers can be written instead of the letters?
a) a + 3.4 = 5.6 b) b – 3.1 = 0 c) c + 2.7 = 10
a = b = c =
d) 7.8 + d = 12.3 e) 8.2 – e = 6.4 f) f – 11.9 = 6.3
d = e = f =
g) g + g + 5.4 = 10 h) 0.4 + h = 0.8 – h
g = h =
i)25
+ i = 1.3 j) j – 0.8 = 15
10k)
34
– k = 0.07
i = j = k =
11111
33333
22222
44444
13 0.5
14
59 0.3 0.6 0.7
0.2512
310
820
49 0.4
816
34
> < >
0.38 1.3 0.45
= < <
0 0.8 0.06
2 (54.8 m + 23.6 m) – 1.8 m = 155 m 155 m of fencing is needed.
2.2 3.1 7.3
4.5 1.8 8.2
2.3 0.2
0.9 2.3 0.68
Page 100
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
Which is more? How much more? Fill in the missing signs and differences.
a) 0.312
b)34
0.75 c)35
0.2
= =
Fill in the missing numbers. Follow the example.
a) i) 3 mm = 3
10 cm = 0.3 cm ii) 6 mm = cm = cm
b) i) 5 cm = m = m ii) 9 cm = m = m
c) i) 76 cm = m = m ii) 12 m = km = km
Which numbers can be written instead of the letters?
a) a + 2.3 = 3.7 b) b – 4.6 = 8 c) 6.1 – c = 4
a = b = c =
d)35
+ d = 115
e) e –14
= 2.6 f) 4.3 – f = 312
d = e = f =
Solve the problem in your exercise book. Write only the answer here.
On Monday Paul spent £5.27, on Tuesday he spent £3.59, on Wednesday hespent £4.57, on Thursday he spent £3.12 and on Friday he spent £2.27.
a) How much did Paul spend altogether? . . . . . . . . . . . . . .
b) How much did he have left if he had £20 to start with? . . . . . . . . . . . . . .
Join thenumbersto thematchingdiagrams.
11111
22222
44444
55555
33333
0.25310
0.314 0.4
212
410
25
39
28
16
13
< = >
0.2 210 0 0.4 4
10
1.4 12.6 2.1
35 2.85 0.8
£18.82
£1.18
610 0.6
5100 0.05 9
100 0.09
76100 0.76 12
1000 0.012
Page 101
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
Write a plan, estimate, calculate and check in your exercise book. Write theanswer here.
a) Helen spent £8.40, Jane spent £3.90 and Lisa spent £5.20.How much did they spend altogether?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
b) Frank and Barry each dug up 25
of the vegetable plot.
i) What part of the vegetable plot did they dig up altogether?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
ii) What part did they still have to dig?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
c) Polly bought 1.5 kg of apples and 5
10 kg less of bananas.
i) How many kg of bananas did she buy? . . . . . . . . . . . . . . . . . . . .
ii) How much fruit did she buy altogether? . . . . . . . . . . . . . . . . . . . .
Draw a diagram to help you solve the problem.
Kate wants to cut a 2.4 m length of ribbon into two pieces, so that one piece istwice as long as the other piece.What will be the length of each piece.
Answer: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Divide up the shapes into 4 congruent parts so that the sum of the numbers ineach part is 2.
11111
a) b)0.3 0.3 0.3 0.3
0.2 0.3 0.4 0.4
0.5 0.5 0.4 0.1
0.3 0.2 0.2 0.4
0.6 0.3 0.2 0.7
0.2 0.5 0.1 0.3310
510
510
310
210
610
510
110
510
310
210
110
310
210
410
310
410
310
410
110
310
410
610 0
22222
33333
£17.50
Short = 80 cm = 0.8 m Long = 160 cm = 1.6 m
1 kg
2.5 kg
45
15
2.4 m
13
23
510
E.g:
Page 102
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
1000 5 200÷ =
200 4 800× =
11111
Write a plan, estimate, calculate and check the result in your exercise books.Write the answer in a sentence here.
a) If I were to give you £6.40, you would have £25.80.How much do you have?
Answer: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
b) After gathering another 125
kg of mushrooms, I have 215
kg of mushrooms
altogether. How many kg of mushrooms did I have at first?
Answer: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
c) What length is the perimeter of this rectangle?
Answer: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Solve the problems.
a) Divide 20.3 kg into three parts so that the lightest part is half the weight ofthe middle-sized part and the middle-sized part is half the weight of theheaviest part.
Lightest part: . . . . . . . . . . . . . . . . .
Middle-sized part: . . . . . . . . . . . . . . . . .
Heaviest part: . . . . . . . . . . . . . . . . .
b) Which is more and how much more: 23
of 1200 litres or 45
of 1000 litres?
Write it as an inequality.
Fill in the missing numbers.
2.5 cm
1 cm14
+ 14
34
+ 141
+ 34
+2 34
+ 34
+ 13
+ 18
+ 12
22222
33333
45 kg
(1.25 cm)
2.9 kg
5.8 kg
11.6 kg
x 2x 4x
7 20 3x = . kg
x = 2 9. kg
2 9 2 5 8. .× =
2 9 4 11 6. .× =
1200 3 400÷ =
400 2 800× =23 of 1200 litres =
45 of 1000 litres
7.50 cm
£19.40
2
112
112
114
78
312
11
12
1
Page 103
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111 Solve the problems in your exercise book. Write the answers here.
a) Sarah cut 2 m 10 cm from a 3.3 m piece of lace to trim a cushion.How much lace did she have left?
Answer: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
b) Jim bought 5 litres of plant food. He used 2 litres 70 cl on his vegetablesand 1.2 litres on the other plants in his garden.How much plant food did he have left?
Answer: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
How can the butterfly get to the flower? Calculate the length of the possibleroutes.
Three boys are giving each other clues about their heights. How tall is each boy?
Adam says, "My height is two thirds of 180 cm." A: . . . . . . . . . . . . . . . . .
Billy says, "My height is eight tenths of 160 cm." B: . . . . . . . . . . . . . . . . .
Chris says, "Three fifths of my height is 72 cm." C: . . . . . . . . . . . . . . . . .
Work out the rule andfill in the missingnumbers.
22222
7
5
6 25
5 35
8 45
4 25
3 45
15
65
8 45
3
10.3 m
11 m 9.1 m
8 m 50 cm
220 cm
410
33333
44444
1 m 20 cm = 1.2 m
1.1 litres
120 cm
128 cm
120 cm
Rule:
outer + inner = centre
535
735
315
145
425
225
0
(or = 845 )
1. 10.3 m+ 8.5 m
18.8 m
2. 10.3 m+ 9.1 m
2.2 m21.6 m
3. 11.4 m+ 2.2 m
8.5 m22.1 m
4. 11.4 m+ 9.1 m
20.5 m
Page 104
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111
Change the quantities.
a) 40 cm = mm b) 30 mm = cm
508 cm = mm 8060 mm = cm = m cm
70 m = cm 7800 cm = m
68 m = cm 520 cm = m cm = mm
Change the quantities.
a) 73 litres = cl b) 40 ml = cl
57 cl = ml 93 ml = cl ml = cl
6.2 kg = g 1800 g = kg g = kg
5.8 litres = cl 450 cl = litres cl = litres
Fill in the missing numbers.
Work out the rule and fill in the missing numbers.
Solve the problem in your exercise book.
Uncle Jim earned £2400 in February. He spent one fifth of it on food, onesixth on bills and one quarter on his garden. How much did he have left?
22222
33333
400 3
5080 806 8 6
7000 78
6800 5 20 5200
7300 4
570 9 3 9.3
6200 1 800 1.8
580 4 50 4.5
3050
26 13
12
+
29 18 +
82 –
75.2 + 5.2
78 25 –
34 13
– 27 12
– 14
96 –2113
2078
6023
4412
2825
15.6
58
44444
a) b)22.7 14.8 11.2 8.7
2.57.987.9 55.5 33.3 12.1
21.222.2
55555
3.6 32.4
4.3 1.1 10.2 1
3.2 9.2
£2400– £1480
£920 He had £920 left.
80.4
16 part £2400 6 = £400
15 part £2400 5 = £480 1
4 part £2400 4 = £600
£480£400
+ £600£1480
Page 105
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111
22222
b)
+
+ 0.75
+
+
+
+ 1.2
+ 2.28+
0.8
1.45
0.25
1.5
0.5
1
a)
+
+
141
+
+
+
+ 12
+
1 12
+ 14
12
2 14
2 14
3
1 12
33333
44444
Plan, estimate, calculate and check in your exercise book. Write the answer here.
a) Alice spent £3.27, Barry spent £4.17 and Chris spent £5.82on their meals. How much was the bill altogether? . . . . . . . . . . . .
b) Dan mowed 3
10 of the grass and Erica mowed
15
of it.
i) What fraction of the grass did they mow altogether? . . . . . . . . . . .
ii) What fraction of the grass still has to be cut? . . . . . . . . . . .
c) Jill bought 2.5 kg of apples and half a kg more of pears.
i) How many kg of pears did she buy? . . . . . . . . . . .
ii) How much fruit did she buy altogether? . . . . . . . . . . .
Fill in the missing numbers.
Which quantity is greater? Fill in the missing signs.
a)3
10 m 54 cm b) 0.9 kg 90 g c)
16
hour 30 min
d) £150 20 p £150.2 e) 5 7
100 litres 5 litres 700 ml
f) 412
weeks 29 days g) 84.3 cm 843 mm 8.43 m
Draw a digram to help you solve the problem.
Jack wants to cut a 1.2 m length of wood into two piecesso that one piece is three times as long as the other piece.
What will be the length of each piece? Give your answer in cm
Answer: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
£13.26
12
12
3 kg
5.5 kg
< > <
= <
> = <
Short piece = 30 cm; long piece = 90 cm
14
34
1.2 m = 120 cm120 cm 4 = 30 cm3 30cm = 90 cm
..
234
1 34
2 12
2
1
34
1
34
1.45
2.53 1.25
1
1.2 1.25
0.25
0.55
Page 106
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
Measure, count or calculate the perimeter and area of the polygons.
.
The sides of a triangular lake are 2400 m, 1350 m and2130 m long. What is the length of its perimeter?
Plan: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Answer: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Wite a plan, estimate, calculate and write the answer.
a) A practice book is 29.7 cm long and 20.8 cm wide.How long is its perimeter?
Plan: . . . . . . . . . . . . . . . . . . . . . . . . . C:
E: . . . . . . . . . . . . . . . . . . . . . . . . . . .
Answer: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
b) George's room is four and two fifths metres long and three and a half metreswide. How long is its perimeter?
Plan: . . . . . . . . . . . . . . . . . . . . . . . . . C:
E: . . . . . . . . . . . . . . . . . . . . . . . . . . .
Answer: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Calculate the area and the perimeter of this rectangle.
P = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
A = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
How can the fishing lake be enlarged to twice itsarea without moving the 4 oak trees?
11111
22222
2400 m2130 m
1350 m
33333
A B
CD
2.4 cm
0.9 cm
44444
55555
24 30 20
a)
A =
P =
b)
P =
A =
c)
A =
P =P =
7 5 2 4 +7 4= 35 = 36 15
2400 m + 1350 m + 2130 m
5880 m
(l + w) 2
(30 + 21) cm 2 = 51 cm 2 102 cm
101 cm
2 9 . 7 5 0 . 52 0 . 8 2
5 0 . 5 1 0 1 . 0
(425 + 3 5
10 ) 2
(4 + 4) m 2 = 8 m 2 = 16 m
15.8 m
4.4 m 7.9 + 3.5 m 2
7.9 m 15.8 m
2 (0.9 + 2.4) cm = 2 3.3 cm = 6.6 cm
0.9 2.4 cm2 = 2.16 cm2
The lake can be expanded out.
Page 107
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111
The unit of area is 1 cm2. The unit of length is 1 cm.
Continue the sequence and complete the table. Write the rule in different ways.
Ten pupils measured their heights and wrote them down in various ways.
A = 1.3 m, B = 1 m 35 cm, C = 134 cm, D = 1350 mm, E = 1 m 340 mm
F = 1 34
100 m, G = 140 cm, H = 1 m 36 cm, I = 1 m 400 mm, J = 1.34 m
a) Show the data inthis tally chart.
b) Write the data in decreasing order.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
c) Which height is the most frequent? This is the mode. . . . . . . . . . . . . . . .
d) Which are the middle data? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1 cm
1 cm
1 cm2
a
b
P
A
1 1 1 1 1 1 1 1 1 1 1 1
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
2.2 2.4
0.1 0.2
P = a = b =b = A =
22222
130 131 132 133 134 135 136 137 138 139 140 cm
33333 3 8 1
68 3 9
40 9 2
2
a) 4 1 766+ 024+ 0–
655 –
3 4 54
25+ 67
2 9 34
6 4 38
0 8 25
b) 7 860+ 57+ 0–
532 –
8 3 46
75– 812
54
44444 3 6 4
7 ×5 5 5
6 ×
b)
8 4 84
a) 2 1 3 3 × 2 0 2 × 41
9 0 33 6 3 6 46 2 8 8 87
1 1.1 1.2
2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 4.2 4.4
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2
2 (a + b) P2 – b P
2 – a a b
IIII II I II
140 cm, 140 cm, 136 cm, 135 cm, 135 cm, 134 cm, 134 cm, 134 cm, 134 cm, 130 cm
134 cm
135 cm and 134 cm
4 8 3 4 5 8 7 3 3 5 6 0 4 0 9 9 9 9
2 8 4 6 0 4 7 4 3 5 4 6 4 7 5 9 7 8
6 3 9 8 0 8 42 5 4 8 3 3 3 0
2 1 2 3 0 1 2 6 0 7 1 2 6 r 6
Page 108
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111
Write true statements about each diagram in your exercise book.
Fill in the missing numbers.
Fill in the next nearest:
These were the fruit that 20 children in a class brought for their lunch.
Tally
a) What fraction of the fruit were apples? . . . . . . . . . . . . . . . . . . .
b) What fraction of the fruit were oranges? . . . . . . . . . . . . . . . . . . .
c) What fraction of the fruit were bananas? . . . . . . . . . . . . . . . . . . .
d) Which was the most popular fruit? . . . . . . . . . . . . . . . . . . .
a) b)
1
c)
1 1
22222
a) 9000
4000 +
3900 +
+ 850
+ 67
1 +
12
5.6 +
12 +
3
+ 11
b)
15 +
23
c) 16
8
1
3
0.5
×
4 ×
×
÷
×
tens
5420
657
43.2
<
<
<
<
<
<
units
5420
657
43.2
<
<
<
<
<
103 << 78
a) tenths
5420
657
43.2
<
<
<
<
<
<
2.93 <<103 << 78
<
b) c)
33333
44444
620 =
310 6
12 = 12
516 = 10
32
5000 6.4 2
5100 0 4
8150 16
8933 48
8999 3213
845
5410 5430 5419 5421 5419.9 5420.1
650 660 656 658 656.9 657.1
40 50 43 44 43.1 43.3
100 110 103 104 2.9 3.0
IIII IIII 10
IIII I 6
IIII 4
201020 =
12
620 =
310
420 =
15
Apples
E.g:
Page 109
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111
Length of 1 edge
Area of cube
Volume of cube
1 2 3 4 5 6
22222
a b c A V
a
b
c
33333
Imagine these cubes built from unit cubes.Fill in the missing numbers.
Imagine the cuboid which has this net. Calculate its surface area and volume.
Complete the table.
The pie chart shows which part ofthe class chose which game to play.
a) Write each part as a fraction. B: . . . . . . F: . . . . . . T: . . . . . .
b) How many children chose each gameif there were 24 pupils in the class? B: . . . . . . F: . . . . . . T: . . . . . .
Solve the equations.
Basketball
Football
Tennis
44444
a) + = 11337
+ = 67
+ = 129
b)
+ 0.6 = 1
+ 820 = 1000
2.3 + = 4
i) ii) iii)
iv) v) vi)
– = 27i) ii) – 820 = 1000 iii) 89
– = 29
iv) v) vi) – 0.6 = 0.44.3 – = 3.1– =13
13
6 24 54 96 150 216
1 8 27 64 125 216
3 5 2 62 30
58
28
18
15 6 3
8 18037
79 1.7 0.4
5 182069
23 1.2 1
Page 110
MEP Primary Practice Book 4b ANSWERS
See Lesson Plans for Year 4 at http://www.cimt.plymouth.ac.uk/projects/mepres/primary/default.htm
11111
Calculate the area and perimeter of each polygon.
a) Calculate the area and perimeter of this rectangle.
P = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
A = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
b) What is the length of the side of a square whichhas a perimeter equal to this rectangle? . . . . . . . . . . . . . . . .
The pie chart shows the favourite colours of the32 pupils in a class.
a) What fraction of the class chose each colour?
Red: Blue: Yellow: Green:
b) How many pupilschose each colour? R: . . . . . . B: . . . . . . Y: . . . . . . G: . . . . . .
Solve the equations.
a) i) 5 + = 6.5 ii) + 3.9 = 5.7 iii) + 14
= 54
iv) + 27
= 1 v) 4.7 + = 6.3 vi) + 0.7 = 1
b) i) 6 – = 4.5 ii) – 2.3 = 4.9 iii) 57
– = 27
iv) – 15
= 45
v) 4.7 – = 3.9 vi) – 0.3 = 0.7
Join up theequal values.
a)
A =
P =
b)
P =
A =c)
A =
P =P =
22222
2.2 cm
8 cm
33333
55555
1 – 0.2
1.5
2.3
0.6452
310
610
1 and a half
34
0.75
44444
Y
BR
G
25
20 32 20
28
13
2 (2.2 + 8) cm = 10.2 cm 2 = 20.4 cm
(2.2 8) cm = 17.6 cm
20.4 cm 4 = 5.1 cm
18
18
48
= 12
28
= 14
4 4 16 8
1.5 1.8 1
1.6 0.3
1.5 7.2
1 0.8 1
57
37
2
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