ANSWERS:
Practice Exercise
1a 1b
and 1b
Practice Exercise
1a and
Numbers,
PlaceValue
Valueand
and
Roman
Numerals
Numbers, Place
Roman
Numerals
P1a
쏋
368
쏋
• three thousand and seventy-four.
Say these numbers aloud:
1209
3692
3074
4006
• eight thousand, one hundred
Write in figures:
• five hundred and ninety-one.
and eleven.
591
쏋
8111
Convert these numbers to
Roman numerals:
XX
XL
L
XC
• 20
• 40
• 50
• 90
• 25
• 31
• 56
• 83
쏋
XXV
XXX
LV
LXXX
Match these Roman numerals to the
correct number:
LVIII
86
LXXIV
58
LXXXVI
92
XCII
74
P1b
쏋
What numbers need to go in each space?
4000
9000 +
+ 500 + 80 + 2 = 4582
700
5000 + 300 +
+ 80 + 1 = 9781
80
4000 + 600 + 10 +
쏋
16
+ 2 = 5382
9
= 4619
Convert these numbers to
Roman numerals:
• 45
• 54
쏋
XLV
LV
• 98
• 49
Make the biggest number you can
with these digits:
6 2 9 0
쏋
Make the smallest number you can
with these digits:
7 5 3 9
jottings
XCV
XLX
9620
3579
ANSWERS:
Practice Exercise
1b 1c
and 1c
Practice Exercise
1b and
Numbers,
PlaceValue
Valueand
and
Roman
Numerals
Numbers, Place
Roman
Numerals
P1b continued
쏋
Fill in the missing numbers:
XX
XX XXIV XXV
LV
LVX LX LX
• LVII
• LXXXIV LXXXV LXXXVI LXXXV
XL
XL
XL
• XXXIX
• XXI
XXV
LX
P1c
쏋
Work out the number that needs to
be added or subtracted to change:
• 5389 to 2389
• 3401 to 3411
• 3690 to 2690
쏋
− 3000
+ 10
− 1000
Write the answer to these
calculations in Roman numerals:
• 23 + 14 =
• 35 + 22 =
• 46 + 23 =
• 52 + 48 =
• 64 + 26 =
쏋
Which is less?
Tick the right answer:
6 hundreds or 62 tens
쏋
Which is more?
8 thousands
쏋
or 88 hundreds Match the numerals on
these columns:
XXXV
LV
LXX
C
XC
XXI XXIV LXX
LXXXIV XI VIII
17
Practice Exercise
2
ANSWERS:
Practice Exercise
2
Adding and
Multiples
of 10
Adding
andSubtracting
Subtractingwith
with
Multiples
of 10
P2a
쏋
Write the number that is
1 more than:
4678
1250
쏋
4679
1251
쏋
390
2940
389
2939
Write the number that is
1 less than:
500
3400
499
3399
3467
9890
쏋
3039
9579
3040
9580
Write the number that is
10 more than:
3477
9900
9880
3505
9870
3495
Write the number that is
100 less than:
9721
3190
9621
3090
4480
1290
4580
1390
P2b
쏋
쏋
Starting with 68, how many tens
do you need to add to
4
get more than 100?
Starting with 574, how many
hundreds do you
need to add to get
more than 1000?
쏋
Work out:
£6.00 less 1p
£
505 ml less 10 ml
2000 g less 100 g
5
1280 m less 1000 m
5.99
495
1900
280
ml
g
m
P2c
쏋
Write the correct numbers in the spaces:
6909
6209
2095
jottings
18
10 less is
1000 more is
7909
1000 less is
5209
2085
3107
199
4205
100 less is
3007
10 more is
209
100 more is
4305
Practice Exercise
3
ANSWERS:
Practice Exercise
3
Comparing and
Numbers
Comparing
andOrdering
Ordering
Numbers
P3a
쏋
Insert the symbol < or > or =
between these pairs of numbers:
<
<
• 719
• 109
쏋
917
• 313
190
• 2123
<
=
쏋
331
2123
£1090
Andy has run 483 metres and Lucas
has run 438 metres.
• Who has run further?
• How many metres
further?
쏋
Andy
45
A new PC
costs between
£1080 and
£1100. How
much could
EXAMPLE
it cost?
Put these numbers in order, smallest
first: 6739 7693 3967 9376
1.
3.
m
2.
3967
7693
4.
6739
9376
P3b
쏋
Insert the symbol < or > between these pairs of numbers:
• 1012
<
1020
• –9
• 4286
<
4826
•3x6
• –6
<
<
• 56 ÷ 7
–1
–2
>
>
2x8
63 ÷ 9
P3c
쏋
쏋
A banana weighs between
101 g and 110 g.
EXAMPLE
How heavy could
103
it be?
쏋
5630 <
g
Put these numbers in order, largest first:
2110 2101 1120 2900
1.
3.
2900
2101
2.
4.
2110
1120
Write a possible number in the box:
1090 <
쏋
5640
1095
< 5650
EXAMPLE
< 1100
EXAMPLE
Which number is half way between
6740 and 6750?
8670 and 8690?
6745
8680
19
Practice Exercise
4
ANSWERS:
Practice Exercise
4
Number Sequences
Number
Sequences
P4a
쏋
What are the next two numbers in each sequence?
•~
77
88
99
110
•~
176
173
170
167
•~
1200
1100
1000
900
121
164
800
132
161
700
85
77
−3
91
−6
P4b
쏋
Fill in the missing numbers in the sequences:
•~
•~
•~
쏋
61
129
67
116
73
79
103
90
9
6
3
0
Make up your own number sequence:
64
VARIABLE
•~
P4c
쏋
Fill in the missing numbers in each sequence:
•~
•~
•~
쏋
50
− 34
51
100
− 27
200
400
800
– 20
– 13
–6
34
17
0
– 17
Write your own sequence and include some negative numbers:
•~
jottings
20
25
− 41
68
VARIABLE
Practice Exercise
5
ANSWERS:
Practice Exercise
5
Multiplying and
Multiples
of 10
Multiplying
andDividing
Dividingwith
with
Multiples
of 10
P5a
쏋
38 x 10 =
쏋
54 x 100 =
쏋
80 x 100 =
쏋
950 ÷
쏋
700 ÷
380
5400
8000
10
100
쏋
450 ÷ 10 =
45
쏋
How many times
larger is 340 than 34?
10
쏋
How many 1p coins
are there in £2?
200
쏋
How many 10p coins
are in £3.60?
36
쏋
How many metres
are in 3 kilometres?
3000
m
How many ml are
in 4 litres?
4000
ml
= 95
=7
P5b
쏋
738 x
쏋
950 ÷
239
70
쏋
쏋
10
10
= 7380
= 95
x 10 = 2390
쏋
x 100 = 7000
P5c
쏋
A packet of sweets costs 10p.
How many can be
24
bought for £2.40?
쏋
Cans of lemonade cost 35p each
and are sold in packs of 10.
•~ How much would
one pack cost?
•~ How much would one
hundred packs cost?
£
3.50
£
350.00
jottings
21
ANSWERS:Exercise
Practice Exercise
6a 6b
and 6b
Practice
6a and
Rounding,Estimating
Estimatingand
and
Approximating
Rounding,
Approximating
P6a
쏋
Round these numbers to the
nearest ten:
37
쏋
40
80
24
20
15
20
371
600
400
949
604
410 + 600
900
600
400 + 600 Round these measurements to the
nearest 10 cm:
152 cm
150
cm
275 cm
Put a tick next to the best
approximation for 403 + 596:
400 + 500
Round these numbers to the
nearest hundred:
582
쏋
78
쏋
280
쏋
cm
Round these measurements to the
nearest 100 g:
6780 g
6800 g
12 961 g
13 000 g
P6b
쏋
Round these distances to the nearest
100 and then to the nearest 1000 km:
1661 km
7093 km
쏋
km
km
2000
7000
• 301 x 19
• 472 x 54
• 6978 x 525
jottings
Put a tick next to the best
approximation for 19 x 21:
km
90 x 20
200 x 9
km
20 x 202
2 x 190 Write an approximate answer
using rounding:
• 1251 x 99
22
1700
7100
쏋
125 000
6000
23 500
3 500 000
쏋
Round these measurements to the
nearest ten or hundred units:
• 146 cm tall
150
cm
to the nearest 10 cm.
• 552 metres to the post office
600
m
to the nearest 100 m.
ANSWERS:Exercise
Practice Exercise
Practice
6c 6c
Rounding,Estimating
Estimatingand
and
Approximating
Rounding,
Approximating
P6c
쏋
Write an approximate answer
using rounding:
5400
7000
20
9500
• 5988 – 596
• 348 x 19
• 6549 ÷ 329
• 8459 + 1011
쏋
2700 people attended a local
football match. To the nearest 100:
• what is the smallest
number that could
have attended?
2650
• what is the largest
number that could
have attended?
2749
The Nile River is 6670 km long. Round this to the nearest:
7000
• 1000 km
쏋
쏋
km
• 100 km
6700
km
By looking at the even and odd numbers, choose the correct answer:
• 38 765 – 2768
• 65 743 – 53 497
35 997 35 798
12 246 12 265
jottings
+=
x=
x
÷ –
=
23
23
ANSWERS:Exercise
Practice Exercise
7
Practice
7
Additionand
andSubtraction
Subtraction
Addition
P7a
쏋
What is the sum
of 39 and 27?
쏋
Increase 73 by 23.
쏋
What is 44 take away 16?
66
96
28
쏋
What is the difference
between 91 and 64?
27
쏋
Add up this shopping bill:
24p + 35p + 8p + 14p
81
p
P7b
쏋
816 + 38 =
854
쏋
716 + 138 =
854
쏋
372 – 174 =
198
쏋
109 – 65 =
44
쏋
400 – 97 =
303
3855
쏋
2456 + 1399 =
쏋
Find three numbers that could have
a total of 212:
EXAMPLE
200
쏋
10
+
2
+
Find a pair of numbers with a
difference of 52:
89
EXAMPLE
37
–
P7c
쏋
EXAMPLE
Find four different totals you can make
by using three of these four numbers:
87
250
184
쏋
783
54
521
쏋
89
463
27
346
− 35 35
Find the missing number:
37 +
Find five differences by using two
of these five numbers:
EXAMPLE
32
+ 82 = 151
쏋
Find the missing number:
86 –
27
= 59
jottings
24
– – – – – – – – –
ANSWERS:Exercise
Practice Exercise
8
Practice
8
Multiplicationand
andDivision
Division
Multiplication
P8a
쏋
Share 12 between 4.
3
쏋
Multiply 27 by 3.
81
쏋
What is the product
of 8 and 6?
48
Divide 54 by 9.
6
쏋
32
30
28
8
6
쏋
4 times 8 =
쏋
5x6=
쏋
7x4=
쏋
64 ÷ 8 =
쏋
72 ÷ 12 =
쏋
Find ten products you can make by
using two of these five numbers:
10
5
100
2
3
P8b
0
쏋
12 x 3 x 0 x 1 =
쏋
3x
쏋
90 ÷
쏋
100 ÷ 5 =
쏋
What is one eighth of 200?
2
3
x 5 = 30
50, 1000, 500, 200, 20,
300, 10, 15, 30, 6
= 30
20
25
125
쏋
What is one quarter of 500?
쏋
Underline the numbers which are
P8c
쏋
What is:
• the product of 42 and 7?
• the product of 5 and 145?
쏋
294
725
• multiples of 8:
18
24
54
168
39
49
36
• multiples of 9:
65
What are the factors of 20?
1, 2, 4, 5, 10, 20
68
쏋
72
140 ÷ 7 =
20
jottings
25
Practice
9
ANSWERS:Exercise
Practice Exercise
9
Remainders
Remainders
P9a
쏋
1
쏋
51 ÷ 10 = 5 remainder
쏋
22 ÷ 3 =
쏋
There are 28 children in Year 4.
• How many teams
5
of 5 can be made?
• How many children
3
will be left over?
7
1
remainder
There are 33 sweets in a
jar. If three children have
10 each, how many
will be left over?
3
P9b
쏋
26 ÷ 4 =
쏋
50 ÷ 6 =
쏋
I have £22. How many
books can I buy if
they are £5 each?
6r2
8r2
16 r 2
쏋
82 ÷ 5 =
쏋
58 pupils are going to the
theatre. There are 11 seats
in a row. How many rows
are needed so that
everyone has a seat?
6
There are 53 cans of
lemonade and a box
holds 7 cans. How many
boxes do you need
to hold all the cans?
8
4
P9c
쏋
I have a piece of string that
measures 123 cm.
쏋
• How many smaller
pieces of 12 cm
can I cut from it?
10
• How much longer would my
piece of string have to be for
me to cut 12 pieces
21
of 12 cm from it?
jottings
26
cm
Practice
10 10
ANSWERS:Exercise
Practice Exercise
Inverse
Inverse Operations
Operationsand
andChecking
Checking
P10a
쏋
Find the missing digit:
• 12 + 1
8
4
7
5
2
• 10 x 3
• 22 – 1
• 200 ÷ 2
• 72 ÷ 1
쏋
372 – 196 = 176. So you know that:
= 30
• 176 + 196 =
= 340
• and 372 – 176 =
= 5
쏋
372
196
53 x 17 = 901. So you know that:
= 8
• 901 ÷ 17 =
= 6
• and 901 ÷ 53 =
53
17
P10b
쏋
쏋
Find the missing digits to make these correct:
•
5
2
+
•
1
6
5 + 4
9
9
= 151
•
7
3
–
2
9
= 44
5
•
1
1
x
1
0
= 110
4
–
= 210
Using the digits 3, 4, 5, make the calculations correct:
•
3
4
x
5
+
•
= 17
5
x
3
= 17
P10c
쏋
EXAMPLE
Fill in the boxes, using 0 to 9 only once:
•
1 8
+
2 4
쏋
45 x 36 = 1620. So:
36
3.6
• 1620 ÷ 45 =
= 42
• 162 ÷ 45 =
EXAMPLE
쏋
•
7 2
–
3 0
= 42
Look at the odd and even numbers, then tick the answer.
• 97 + 353
450 • 938 + 97
1035 451
1036
• 432 + 8904
9335
9336 • 801 + 4692
5493 5492
27
Practice
11a 11a
ANSWERS:Exercise
Practice Exercise
Calculations:
and
Subtraction
Calculations:Formal
FormalAddition
Addition
and
Subtraction
P11a
Addition
쏋
Use a formal
method for these
calculations.
a.
Subtraction
e.
+
3 6
9
4 5
f.
+
6 7
2 4
9 1
1 7 8
+ 2 1 5
3 9 3
g.
3 4 6
+ 1 5 7
5 0 3
h.
Addition:
-
5 2
1 7
3 5
-
6 3
4 8
1 5
-
1 8 2
6 9
1 1 3
a. 36 + 9 =
b. 67 + 24 =
b.
c. 178 + 215 =
d. 346 + 157 =
Subtraction:
e. 52 – 17 =
c.
f. 63 – 48 =
g. 182 – 69 =
h. 431 – 275 =
jottings
28
d.
4 3 1
- 2 7 5
1 5 6
Practice
11b 11b
ANSWERS:Exercise
Practice Exercise
Calculations:
and
Subtraction
Calculations:Formal
FormalAddition
Addition
and
Subtraction
P11b
Addition
쏋
Use a formal
method for these
calculations.
a.
Subtraction
8 5
3 7
1 2 2
e.
4 3 2
- 3 2 7
1 0 5
b.
4 6
+ 5 9 8
6 4 4
f.
5 1 4
- 1 9 6
3 1 8
c.
2 6 7 9
+ 3 4 5 2
6 1 3 1
g.
3 2 4 5
- 1 4 1 6
1 8 2 9
d.
4 2 9 8
+ 4 9 0 5
9 2 0 3
h.
7 2 0 6
- 5 6 8 7
1 5 1 9
+
Addition:
a. 85 + 37 =
b. 46 + 598 =
c. 2679 + 3452 =
d. 4298 + 4905 =
Subtraction:
e. 432 – 327 =
f. 514 – 196 =
g. 3245 – 1416 =
h. 7206 – 5687 =
jottings
29
Practice
11c 11c
ANSWERS:Exercise
Practice Exercise
Calculations:
and
Subtraction
Calculations:Formal
FormalAddition
Addition
and
Subtraction
P11c
Addition
쏋
Use a formal
method for these
calculations.
Subtraction
a.
3 7 6
+ 4 9 8
8 7 4
e.
2 1 3
- 1 8 7
2 6
b.
8 7 4
4 5 9
1 3 3 3
f.
1 6 2 3
7 9 8
8 2 5
c.
5 6 3 8
+ 4 2 9 7
9 9 3 5
g.
2 5 0 1
- 1 9 3 2
5 6 9
d.
+
6 7 0 9
4 5 9 7
1 1 3 0 6
h.
6 4 7 3
- 5 8 6 4
6 0 9
Addition:
a. 376 + 498 =
b. 874 + 459 =
+
c. 5638 + 4297 =
d. 6709 + 4597 =
Subtraction:
e. 213 – 187 =
f. 1623 – 798 =
-
g. 2501 – 1932 =
h. 6473 – 5864 =
jottings
30
Practice
12a 12a
ANSWERS:Exercise
Practice Exercise
Calculations:
and
Division
Calculations:Formal
FormalMultiplication
Multiplication
and
Division
P12a
Multiplication
쏋
Division
Use a formal
method for these
calculations.
a.
4 6
e.
2 4
Multiplication:
b.
4 2
f.
1 2
c.
1 4 0
g.
1 3
d.
2 4 6
h.
1
a. 23 x 2 =
b. 14 x 3 =
c. 28 x 5 =
d. 123 x 2 =
1 0
Division:
e. 48 ÷ 2 =
f. 36 ÷ 3 =
g. 52 ÷ 4 =
h. 550 ÷ 5 =
jottings
31
Practice
12b 12b
ANSWERS:Exercise
Practice Exercise
Calculations:
and
Division
Calculations:Formal
FormalMultiplication
Multiplication
and
Division
P12b
Multiplication
쏋
Division
Use a formal
method for these
calculations.
a.
7 2
e.
2 5
Multiplication:
b.
3 1 8
f.
1 6
c.
2 0 3 0
g.
8 1
d.
3 3 6 0
h.
1 8 7
a. 36 x 2 =
b. 53 x 6 =
c. 406 x 5 =
d. 480 x 7 =
Division:
e. 75 ÷ 3 =
f. 96 ÷ 6 =
g. 648 ÷ 8 =
h. 748 ÷ 4 =
jottings
32
Practice
12c 12c
ANSWERS:Exercise
Practice Exercise
Calculations:
and
Division
Calculations:Formal
FormalMultiplication
Multiplication
and
Division
P12c
Multiplication
쏋
Division
Use a formal
method for these
calculations.
a.
2 1 8 7
e.
1 2 3
Multiplication:
b.
3 6 5 6
f.
4 1
c.
4 2 6 3
g.
1 7 7
d.
4 8 0 6
h.
2 6 7
a. 243 x 9 =
b. 457 x 8 =
c. 609 x 7 =
d. 534 x 9 =
Division:
e. 369 ÷ 3 =
f. 246 ÷ 6 =
g. 708 ÷ 4 =
h. 534 ÷ 2 =
jottings
33
Practice
13a, 13b
13c13c
ANSWERS:Exercise
Practice Exercise
13a, and
13b and
Problem
ProblemSolving
Solving
P13a
쏋
Which sign should go in the spaces? Choose from:
+
8
8
+ –
x ÷
16
=
+
+
5
=
13
–
1
–
=
9
÷
=
4
=
=
4
P13b
쏋
What sign is represented by #?
x
÷
–
34 # 13 = 442
39 # 13 = 3
56 # 39 = 17
쏋
쏋
Make up a number story to reflect
32 – 9 = 23.
VARIABLE
These statements give you the sum and product of different pairs of numbers.
Find the pair of numbers to complete each of the statements.
3
7
20
25
•
•
•
•
+
+
+
+
8
3
20
8
= 11 and
= 10 and
= 40 and
= 33 and
3
7
20
25
x
x
x
x
8
3
20
8
= 24
= 21
= 400
= 200
P13c
쏋
34
Choose digits from 5, 2, 1, 3. Replace each # to make the statement true.
• # # – # = 48
• # # + ## = 47
5 1
3 5
–
+
3
1 2
• # # x # = 105
• # # x # = 65
2 1
1 3
x
x
5
5
Practice
13c and
ANSWERS:Exercise
Practice Exercise
13c 14a
and 14a
Problem
ProblemSolving
Solving
P13c continued
쏋
Different letters stand for
different digits. Using digits
0 to 9, choose a value for
each letter to make these
calculations correct.
—
C
AT S
CATS
1 0 8 2
−
1 0 6
9 7 6
C
AN
CAN
R
UN
RUN
C=1 A=0 T=8 S=2
N=6 R=9 U=7
쏋
Now make up a puzzle of your
own and give the solution. VARIABLE
VARIABLE
P14a
쏋
Twenty-seven children want to go
to the cinema. An adult can take in
three children.
• How many adults
are needed?
쏋
Each ring must have a total of 15.
Use these numbers – but once only!
1 2 3 4 5 6 7 8 9
9
• How many people
will be going to the
cinema altogether?
쏋
36
2
4
9
1
6
8
3
5
7
Consecutive numbers are numbers which follow one from another, for example,
12 and 13 or 43 and 44. Now find which three:
• add up to 39.
12
• add up to 66.
13
14
21
22
23
35
Practice
14b and
ANSWERS:Exercise
Practice Exercise
14b 14c
and 14c
Problem
ProblemSolving
Solving
P14b
쏋
Write these numbers
1
2
3
4
5
쏋
6
9
one in each box, so that each line
(horizontal and vertical) adds up to 12.
Put numbers in the circles so that the
total along each side of the polygon
is equal to the number in the centre.
• Use these numbers:
1
EXAMPLE
1
9
8
3
5
2
3
✓
4
✓
2
5
6
✓
8
4
1
6
3
13
7
4
2
6
5
P14c
쏋
There are 48 people on a train.
Half are reading a newspaper.
One quarter are reading a book
and the rest are talking.
• How many are
not reading?
12
쏋
쏋
y
x+y=z
...to find the missing numbers and
complete this pyramid:
39
• The sandwich cost £4 more than
the drink. How much was the drink?
36
x
58
David bought a drink and a sandwich
for £5.60.
80p
8
z
Follow this rule...
• If a quarter of those reading
get off, how many people
are still on the train?
7
✓
30
17
8
jottings
28
15
13
9
4
11
Practice
15 15
ANSWERS:Exercise
Practice Exercise
Fractions
Fractions
P15a
쏋
쏋
Look at each shape and tick the
fraction that is shaded purple:
쏋
Tick the fractions that are equivalent
to one whole:
two halves three quarters
three thirds four quarters
five tenths
five sixths
1
_
4
2
_
10
3
_
4
1
_
6
쏋
What is a tenth of 300?
_
1
3
_
1 2
_
2 3
_
3
10
쏋
What is a quarter of 80?
1
_
30
20
_
3
Draw arrows to show 1 4 and 2 4 on this number line:
0
1 41
1
2 34
2
3
P15b
쏋
Tick the two fractions that are
the same:
_
4 8
쏋
_
2
16
_
1
4
쏋
• one tenth
_
1 2
3
_
4
_
3
9 =
1
_
3
9
_
90
_
100 = 10
1
10
_
2
3
1
_
4
_
• two thirds
쏋
Which one is larger:
one quarter or one eighth?
쏋
Which one is smaller:
one sixth or one third?
쏋
Which of these fractions is greater
than one half?
Fill in the missing number:
_
6
8 =
Write these as fractions:
1
6
_
P15c
쏋
What is:
• one fifth of £1?
• one half of 1 kilometre?
• one quarter of 1 metre?
쏋
What fraction of
1 metre is 30 cm?
20 p
500 m
25 cm
_
1
3
쏋
3
10
_
_
7 8
_
4
10
Add together two halves,
three thirds and
two quarters.
_
2
5
2 21
37
Practice
16a and
ANSWERS:Exercise
Practice Exercise
16a 16b
and 16b
Fractions:
Fractions:Addition
Additionand
andSubtraction
Subtraction
P16a
쏋
Complete these statements:
쏋
Find the difference:
•
2
_
1 + _
5
5 =
3
_
5
•
2
_
4 – _
5 =
5
2
_
5
•
2
_
_
3
6 + 6 =
5
_
6
•
4
_
_
7
10 – 10 =
3
_
10
•
3
_
_
4
10 + 10 =
7
_
10
•
5 – _
3
_
8 =
8
2
_
•
2
_
5
_
_
1
10 + 10 + 10 =
8
8
_
10
P16b
쏋
Complete these statements:
•
•
•
•
•
3
_
5 – _
8 =
8
9
_
10
7 –
_
8
jottings
38
8
4
= _
10
5
_
9 – _
10
10
_
4 –
5
2
_
2
_
5
2
= _
5
쏋
Match these statements to the
correct answer:
•
3
_
4
_
10 + 10 =
1
_
2
•
1
_
_
3
5 + 5 =
_
7
10
•
4
2
_
_
8 + 8 =
_
4
5
•
4
_
_
1
10 + 10 =
_
3
4
3 = _
6
– _
10
5
_
8
10
2
= _
8
Practice
16c 16c
ANSWERS:Exercise
Practice Exercise
Fractions:
Fractions:Addition
Additionand
andSubtraction
Subtraction
P16c
쏋
Complete these statements:
2 +
• _
6
•
쏋
_
4
6 = 1
5
_
10
_
2
10 +
7
_
= 10
•
_
2
8 +
4
_
8
+ 8 = 8
•
_
3
10 +
5
_
10
_
1 =
+ 10
_
1
7
_
_
9
10
Repeat the operation to find the missing fractions in these chains.
The first two answers have been done for you.
3
1-_
10
7
_
10
4
_
10
1
10
2
1- _
8
6
8
4
8
2
8
5
2- _
8
11
8
6
8
1
8
4
3- _
11
5
7
5
3
5
5
jottings
39
ANSWERS:Exercise
Practice Exercise
Practice
17 17
Decimals
Decimals
P17a
P
쏋 Put a tick next to the weight which
쏋
is the heaviest, and a cross next to
the lightest:
3.75 kg
37.5 kg
450 cm =
35.79 kg
쏋
3.57 kg 39.95 kg 3.97 kg
쏋
Convert pence to pounds:
£
832p =
8.32
1159p=
11.59
£
Convert centimetres to metres:
4.5 m
2.15 m
215 cm =
Draw lines to link the equivalent
fractions and decimals together:
0.5
0
0.75
0.25
0.1
0.1
0.01
0.01
_
3
4
3
_
4
1
_
4
1
_
4
1
_
100
1
_
100
1
_
2
1
_
2
_
1
10
_
1
10
P17b
쏋
Mark the following decimals on this line:
0.2
0.5
0.5
쏋
0.8
0.8
33p
0
쏋
Round these amounts to the
nearest pound:
£7.41
£
£3.33
£30 £33.30
1
쏋
쏋
Put in order, smallest first:
£3.33
33p
£33.30
£30
£
33p
£33.30
£30
£
7.00
£9.68
Which is lighter?
쏋
5.35 kg £
10.00
5.53 kg
P17c
쏋
Which is the same as 0.6?
six tenths one sixth
쏋
40
six
six hundredths
My suitcase weighed 22 kg
before I took out my shoes
which weighed 550 g each.
How much does my
suitcase weigh now?
jottings
쏋
20.9
쏋
kg
I have £7.60 and spend 95p
on sweets. How much
£
do I have left?
6.65
Put in order, largest first:
12.51 15.45 12.55 15.99
11.
2.
3.
15.99
12.55
4.
15.45
12.51
ANSWERS:Exercise
Practice Exercise
18a 18b
and 18b
Practice
18a and
Decimalsininthe
theReal
RealWorld
World
Decimals
P18a
쏋
Complete the table:
10 mm
1 cm
0.01 m
20 mm
2 cm
0.02 m
70 mm
7 cm
0.07 m
0.10 m
0.15 m
100 mm
150 mm
350 mm
500 mm
700 mm
4700 mm
10 cm
15 cm
35 cm
Billy has 8 bags of sweets. His sister
eats 1.2 bags of sweets and he eats
2.3 bags.
How many bags of
4.5
sweets are left?
쏋
A carpenter is making a shelf.
He joins 2 lengths of wood together.
One is 37.4 cm long and the other
is 22.5 cm long.
How long will his
59.9 cm
shelf be?
0.35 m
50 cm
0.5 m
70 cm
0.7 m
4.7 m
470 cm
쏋
WOOD
GLUE
P18b
쏋
Sam has three bags of sweets.
One weighs 42.15 g, one weighs 34.21 g
and the third weighs 53.42 g.
How much do they
weigh altogether?
쏋
g
The school has three corridors which
measure 11 m, 14.24 m and 18.5 m.
What is the total length
of carpet needed to
cover them?
쏋
129.78
43.79
2.5 kg =
2500
쏋
_
3 m=
4
75
cm
쏋
45 mm =
4.5
cm
쏋
_
1 km =
2
500
m
쏋
m
Paul is 106.9 cm tall and his sister
Sarah is 74.3 cm.
What is the difference
between their heights?
쏋
A single paper clip is made from
9.2 cm of wire. What is the greatest
number of paper clips that can be
made from:
• 1 m of wire?
32.6
cm
g
• 10 m of wire?
10
108
41
Practice
18c and
ANSWERS:Exercise
Practice Exercise
18c 19a
and 19a
Decimals
Money
Problems
Decimalsininthe
theReal
RealWorld;
World;
Money
Problems
P18c
쏋
David cuts a length of string into
three pieces. One is 12.36 cm long,
one is 25.24 cm long and the third
is 13.40 cm long.
How long was the string
before it was cut?
쏋
51
쏋
cm
A carpenter needs to cut a plank
of wood that is 3.75 m long into
5 equal pieces.
What is the length of
each piece of wood?
75
Mrs. Wilson went on a diet. In week
one she lost 1.5 kg, in week two she
lost 1.25 kg, in week three she lost
1.05 kg and in week four she lost
only 0.5 kg.
How much did she
lose altogether?
쏋
2.7 km =
2700
쏋
4.3
kg
78 mm =
7.8
m
cm
cm
쏋
6.75 km =
675 000
쏋
165 mm =
0.165
cm
m
P19a
쏋
Kieran collects 20p pieces and has 15.
~• How many pounds is this?
£
~• How many pence?
쏋
쏋
What is the total cost of a £1.95 birthday card and a
62p stamp?
It costs £6.50 for a child to go bowling. If five children
go together, how much does it cost?
~• What change would there be from a £50 note?
jottings
42
£
£
£
3
300
2.57
32.50
17.50
p
Practice
19b and
ANSWERS:Exercise
Practice Exercise
19b 19c
and 19c
Money
Money Problems
Problems
P19b
쏋
쏋
쏋
Usha gets £1.50 per week pocket money. How many
weeks will it take her to save enough to buy paints
that costs £16.99?
12 weeks
Bob bought 3 games costing £6.85 each.
How much change did he get from a £50 note?
£
29.45
I have in my purse three £2 coins,
two 50p coins, one 10p coin, three 5p
coins and four 1p coins.
~• How much do I have altogether?
£
~• How many snack bars costing 57p can I buy?
7.29
12 bars
P19c
쏋
쏋
Dean spent one quarter of
his birthday money on a game.
If the game cost £7.50,
how much money did he
£ 30.00
have for his birthday?
Chloe paid for a £2.65
magazine with a £2 coin
and two other coins.
She got 5p change.
What other two coins
did Chloe pay with?
쏋
I have savings
of £5 and
spend £1.25
on a toy.
~• What fraction
50
p
20
p
1
_
have I spent?
4
~• What fraction
3
_
do I have left?
4
jottings
43
Practice
20a and
ANSWERS:Exercise
Practice Exercise
20a 20b
and 20b
Measurement:
Right
Unit
Measurement:Choosing
Choosingthe
the
Right
Unit
P20a
쏋
P20b
Which units would you use to measure
these objects? Use L14 and L15 to help
you select the correct abbreviation to
match each picture.
g
l
m
쏋
kg
쏋
20 centimetres
cm/g
•
•
•
•
•
•
50 g
cm
•
•
•
•
•
•
Suggest something you could measure
쏋쏋
• in grams:
VARIABLE
• in litres:
VARIABLE
쏋
쏋
What unit of measurement could
you use for:
• your front door?
44
• an egg?
Put a tick next to the two measures
in each box that are the same:
metres
grams
2 metres
200 millimetres
2 millimetres
200 metres
200 kilometres
500 g
0.5 kg
5g
5 kg
500 mg
What
Whatunit
unitcould
couldyou
youuse
useto
tomeasure:
measure:
• a room?
metres
• an arm?
centimetres
In how many seconds would you
expect to walk across your classroom?
1.5
15 150
Practice
20c and
ANSWERS:Exercise
Practice Exercise
20c 21a
and 21a
Measurement
Measurement
P20c
쏋
Have you lived more or
less than 3650 days?
less
쏋
At what approximate height does
an airliner cruise?
1.5 km
쏋
10 500 m 5100 m
Map the object to the most appropriate unit of measure and place value.
10s
m
Hippo
100s
l
1000s
kg
Car fuel tank
Mount Everest
P21a
쏋
Estimate the length of these lines and then measure them:
VARIABLE
Estimate
Estimate
Measure
Measure
cm
mm
mm
cm
cm
쏋
Use a ruler to draw two lines:
쏋
• 35 mm:
• 4.5 cm:
cm
mm
mm
cm
cm
Write the abbreviations:
kilometre
쏋
cm
7.5
43
8.9
cm
km
millilitre
ml
Write these out in full:
m
metre
g
gram
45
Practice
21b 21b
ANSWERS:Exercise
Practice Exercise
Measurement:
Mass/Weight,
Capacity
Measurement:Length,
Length,
Mass/Weight,
Capacity
P21b
쏋
쏋
How much do these
bananas weigh?
• in metres?
쏋
A large bottle of lemonade holds
2 litres. How many glasses,
1 litre,
each holding _
4
can be filled from
8
the bottle?
쏋
How much liquid is in each jug?
m
6 kilometres Which is more?
2001 ml
쏋
These peaches weigh 425 g.
Mark this weight on the scale.
cm
Which is longer?
601 metres
쏋
116
1.16
쏋
g
Two pieces of string are 64 cm and
52 cm long. What is their total length:
• in centimetres?
쏋
650
2 litres
Would you expect a man to be about
2 metres, 3 metres
m
2
or 4 metres tall?
300
jottings
46
ml
700
ml
Practice
21c 21c
ANSWERS:Exercise
Practice Exercise
Measurement:
Mass/Weight,
Capacity
Measurement:Length,
Length,
Mass/Weight,
Capacity
P21c
쏋
A small apple weighs about 90 g.
• Approximately how
many apples would
you get in a kilo?
쏋
• If a kilo costs £3.30,
how much is this
per apple, roughly?
11
A carton of orange juice holds 750 ml
and a glass holds 200 ml.
• Jake wants to find out how much
6 cartons hold. He should:
30
p
• How many cartons
will Ruby need to
serve 10 people?
3
• How can she work this out?
add 750 and 6
subtract 6 from 750
multiply 750 by 6
10 glasses = 2000 ml
1 carton = 750 ml
so 3 cartons are needed
divide 750 by 6
쏋
Liverpool to Dover is 478 km.
• If the Owen family
have driven 229 km,
how far do they
still have to go?
• How many more km
249
must they drive to
reach halfway?
10
km
km
jottings
47
Practice
22a and
ANSWERS:Exercise
Practice Exercise
22a 22b
and 22b
Measurement:
and
Area
Measurement:Perimeter
Perimeter
and
Area
P22a
쏋
Measure the sides of these rectangles and work out the perimeter and the area:
perimeter
18
쏋
perimeter
area
cm
What is the perimeter
of an equilateral
triangle with sides
of 3 cm?
14
12
cm2
쏋
9
area
cm
5
cm2
Would the perimeter
of a postcard be
500 cm or 50 cm?
cm
50
cm
P22b
쏋
What is the perimeter of:
• a 12 cm x 8 cm
rectangle?
• a triangle with sides
of 3 m, 5 m and 6 m?
쏋
쏋
쏋
48
쏋
40
cm
14
m
Measure the front cover of your book:
• length
• breadth
• the area is
Each side of a regular
pentagon is 7 cm.
How long is its
perimeter?
35
cm
Each side of a square
sheet of paper is
28 cm. What is its
perimeter?
112
cm
What unit would you
use for the perimeter
of a football pitch?
metres
쏋
The perimeter of a square
is 28 cm. What is its area?
25.4
21.4
500
49
cm
cm
cm2
cm2
estimated
Practice
22c 22c
ANSWERS:Exercise
Practice Exercise
Measurement:
and
Area
Measurement:Perimeter
Perimeter
and
Area
P22c
쏋
The perimeter of a square is 32 cm.
What is the length
of each side?
쏋
8
쏋
What unit would you use
for the area of Britain?
cm
square kilometres km2
Draw three different rectangles with the same perimeter of 36 cm but with
these three different areas (think carefully about the layout!):
= 65 cm2
< 65 cm2
4cm
5cm
EXAMPLE
13cm
> 65 cm2
6cm
EXAMPLE
14cm
EXAMPLE
12cm
49
Practice
23a and
ANSWERS:Exercise
Practice Exercise
23a 23b
and 23b
Measurement:
Timetables
and
Calendars
Measurement:Time,
Time,
Timetables
and
Calendars
P23a
쏋
Show the following times on the clocks:
11:05
10:55
19:25
Six forty am
P23b
쏋
Use the calendar to answer
these questions:
• How many full weeks
4
are there in this month?
• Jamil normally works Monday
to Friday. How many
non-working days will
he have this month?
10
• Tom had to take medicine for
• Hugo has judo every Monday night.
How many sessions will
he have this month?
jottings
50
2
21 days. If he finished on the 30th,
on which date
10 May
did he start?
Practice
23c 23c
ANSWERS:Exercise
Practice Exercise
Measurement:
Timetables
and
Calendars
Measurement:Time,
Time,
Timetables
and
Calendars
P23c
쏋
Connect the clocks to the correct time using an arrow:
Midnight
7:15 am
four fifty-five
Five past 6
11:30 pm
5 past noon
2:35 pm
10:15 am
쏋
This timetable for Layton station
shows when trains leave for London:
7:15 am 10:45 am 2:30 pm 6:05 pm 10:20 pm
• Joe arrives at the station at
9:30 am. How long does he have
to wait for the next train?
1 hour 15 minutes
• The 6:05 pm train is 12 minutes late.
What time does
it leave?
6:17 pm
• The train journey takes 25 minutes.
When does
the 10:45 am train
arrive in London?
11:10 am
Next Train from
calling at....
TIMETABLE
• Samara arrives at 9:30 pm.
How long does
she have to wait?
50 minutes
51
Practice
24a and
ANSWERS:Exercise
Practice Exercise
24a 24b
and 24b
Measurement:
Measurement:Time
Time
P24a
쏋
쏋
쏋
Lunch starts at 12:15 and
takes 30 minutes.
When does it end?
쏋
:
12:45
Grace started her
mathematics homework
at 4:45 and finished
it at 5:05. How long
did it take her?
21st March
쏋
20
mins
Use the timetable for Somerset
Primary School to answer these
questions:
• how long do afterschool activities last?
Jack’s birthday was on 14th March.
He had his party a week later.
When did he have his party?
45
Which is longer:
one hour or
fifty-seven seconds?
one hour
• how much time is there
between the beginning of lessons
in the morning
and beginning
2 21
of lunchtime?
mins
hrs
P24b
쏋
The English lesson ends at
11:50 and takes 45 minutes.
When does
:
11:05
it begin?
쏋
Louis went to the cinema
on Saturday 6th November.
Then he went again exactly
two weeks later. What was the
date of his second visit?
쏋
• What time
did she leave
for school?
to get to school.
What time did
she arrive?
:
8:45
Use the timetable for Somerset Primary School to answer these questions:
• What is the difference in time
• How many hours of lessons do
52
:
8:30
• It takes her 15 minutes
20th November
쏋
Bethany got up at 7:35
and left for school
55 minutes later.
the children have
each day?
4
hrs
between the two
blocks of lessons
in the morning?
15
mins
Practice
24c 24c
ANSWERS:Exercise
Practice Exercise
Measurement:
Measurement:Time
Time
P24c
쏋
The school concert started
at 2:00 and the first part was
35 minutes long. Then there
was a 15-minute break.
• When did the
break finish?
쏋
Tom played in the football team
on Saturday 17th October and
played again five weeks later.
On what date did he play again?
21st November
:
2:50
• The second part was
25 minutes long.
When did the
concert finish?
:
3:15
• Lauren left school 10 minutes
after the concert ended
and got home at 3:50.
How long did it take
her to get home?
쏋
25 mins
Use the timetable for Somerset
Primary School to answer these
questions:
• What is the total amount of free
time the children
have each day?
105
mins
• What is the difference between the
amount of lesson time in the
morning and in
30
the afternoon?
mins
jottings
53
Practice
25a 25a
ANSWERS:Exercise
Practice Exercise
Geometry:
Geometry:Angles
Anglesand
andDirections
Directions
P25a
쏋
54
Which angle is:
쏋
Which angles are:
• a right angle?
C
• acute?
B, D, E
• the biggest?
F
• obtuse?
A, F
• the smallest?
E
Practice
25b and
ANSWERS:Exercise
Practice Exercise
25b 25c
and 25c
Geometry:
Geometry:Angles
Anglesand
andDirections
Directions
P25b
쏋
Write in the eight compass points
in their correct positions.
Use abbreviations.
쏋
N
NW
•
•
•
•
•
•
•
NE
W
E
SE
SW
Start at X on the grid and
follow the directions drawing
your route:
South one square
East two squares
South one square
West one square
South one square
West two squares
North one square
X
• Now put another X where you
S
have finished.
P25c
쏋
쏋
How many degrees are there in:
• one whole turn?
360°
• two right angles?
180°
You are facing north and
turn clockwise by 90°.
Where are you facing now?
쏋
You are facing south-east and you
turn anti-clockwise by 180°.
NW
Where are you facing now?
쏋
You are facing west and
turn clockwise by 360°.
Where are you facing now?
쏋
E
How many degrees is it
from north-east to
south-west?
W
180°
jottings
55
Practice
26a and
ANSWERS:Exercise
Practice Exercise
26a 26b
and 26b
Geometry:
Geometry:2-D
2-DShapes
Shapes
P26a
쏋
What number are these shapes on the
Christmas tree? Put a tick in the second
box if the shape is a quadrilateral.
3
6,9
8
2
1
• square
• triangle
• hexagon
• rectangle
• semi-circle
쏋
True or false?
• A heptagon has
seven sides.
True
• A semi-circle
False
is round.
• A quadrilateral always
has four straight sides.
• An oblong is a
True
False
curved shape.
P26b
쏋
What are these shapes? There may be two words in each answer.
• Five equal sides.
• Eight sides that are
not equal.
• Two pairs of equal sides
and four right angles.
regular
pentagon
10
irregular
octagon
5
rectangle
2
• Find the shapes on the Christmas tree and label them with the correct
number in the circles.
쏋
Complete this table with the names of the shapes.
3 sides
4 sides
56
5 sides
All sides equal
2 sides equal
No sides equal
equilateral
triangle
square
isosceles
triangle
irregular
quadrilateral
irregular
pentagon
scalene
triangle
irregular
quadrilateral
irregular
pentagon
regular
pentagon
Practice
26c 26c
ANSWERS:Exercise
Practice Exercise
Geometry:
Geometry:2-D
2-DShapes
Shapes
P26c
쏋
What’s decorating the Christmas tree? Complete the information
boxes and identify the unnumbered shapes on the tree.
1
A shape with one curved
and one straight side.
2
semi-circle
3
A shape with 4 vertices
and 4 equal sides.
3
A shape with two pairs of
opposite sides equal.
rectangle
4
square
9
A shape with no vertices.
circle
10
5
8
A shape with 8 sides and 8 vertices.
irregular octagon
6
A shape with 3 equal sides.
1
equilateral triangle
5
7 a shape with 7 sides and 7 vertices
6
An irregular heptagon.
8
An irregular shape with 6 vertices.
7
irregular hexagon
9 a shape with 3 sides and 3 vertices
4
A scalene triangle.
2
10
a shape with 5 equal sides and 5 vertices
A regular pentagon.
57
Practice
27a and
ANSWERS:Exercise
Practice Exercise
27a 27b
and 27b
Geometry:
Geometry:3-D
3-DShapes
Shapes
P27a
쏋
Name the labelled 3-D shapes in the
illustration of building blocks below.
•A
sqyare-based pyramid
•B
cuboid
•C
cylinder
•D
cone
쏋
Fill in the missing words. The first
letter will help you. Then put the
letter labelling the shape in the box.
• A square -based pyramid has a
a s e and four other
f a c e s which are triangles.
A
• It is shape:
square b
• A triangular prism has two identical
r i a n g u l a r faces at
o p p o s i t e ends. The other
faces are r e c t a n g l e s .
F
• It is shape:
t
•E
sphere
•F
triangular prism
P27b
쏋
Describe the key features of shape G.
Remember to include edges, faces and
vertices. What would you call it?
It has 10 vertices, 8 faces
and 17 edges. It is an
irregular polyhedron.
E
B
F
G
C
58
A
D
Practice
27c 27c
ANSWERS:Exercise
Practice Exercise
Geometry:
Geometry:3-D
3-DShapes
Shapes
P27c
쏋
Complete each set of boxes to include the number, description and
name of these shapes in the set of building blocks below.
1
A curved shape with
no edges.
8
A shape with 8 vertices, 12
edges and rectangular faces.
sphere
4
An irregular shape with
7 faces.
cone
A shape with two edges and no vertices.
6
A shape with 10 vertices
and a 90° angle.
irregular polyhedron
10
A shape with two triangular faces.
triangular prism
7
cube
2 A shape with one flat face and one curved face
cylinder
9
A shape with six
square faces.
cuboid
irregular polyhedron
5
3
A shape with 1 curved, 1 flat face
A hemisphere.
A shape with five faces and five vertices
A square-based pyramid
1
8
7
2
3
10
9
4
6
5
59
ANSWERS:Exercise
Practice Exercise
28a 28b
and 28b
Practice
28a and
Geometry:Reflective
ReflectiveSymmetry
Symmetry
and
Translation
Geometry:
and
Translation
P28a
쏋
Tick the shapes that have at least
one line of symmetry:
쏋
Reflect this shape in the mirror line:
쏋
Here is a square.
Draw in as many
lines of symmetry
as you can.
P28b
쏋
60
Draw the reflection of this shape in the mirror line:
ANSWERS:Exercise
Practice Exercise
Practice
28c 28c
Geometry:Reflective
ReflectiveSymmetry
Symmetry
and
Translation
Geometry:
and
Translation
P28c
쏋
Reflect the shapes across the horizontal mirror line and draw them into the
top left-hand side of the grid.
쏋
Then, reflect the shapes across the vertical mirror line and draw them into the
top right-hand side of the grid.
쏋
Now, reflect the shapes across the horizontal mirror line and draw them into
the bottom right-hand side of the grid.
쏋
Most brands have logos, many of which are symmetrical.
Find three symmetrical logos and sketch them here.
VARIABLE
61
Practice
29a and
29b29b
ANSWERS:Exercise
Practice Exercise
29a and
Geometry:
Geometry:Position
Positionand
andCoordinates
Coordinates
P29a
쏋
Give the (best) coordinates of the
corners of the Pirate fort.
(2,6)
(4,6)
쏋
(2,7)
(4,7)
Make your way across Pirate Island.
Mark the route across the map by
plotting these coordinates and joining
the points in order.
(1,3), (5,3), (5,6), (7,6), (7,7)
P29b
쏋
Mark the features on Pirate Island at the given coordinates and label
them with the letter code.
Landing point
point (3,8)
(3,8)
~• X - Landing
E -- Pirate
Pirate ship
ship (1,5)
(1,5)
~• E
A -- Palm
Palm tree
tree (3,2)
(3,2)
~• A
F -- Flag
Flag pole
pole (1,2)
(1,2)
~• F
B -- Beach
Beach (2,5)
(2,5)
~• B
G -- Gull
Gull rock
rock (8,1)
(8,1)
~• G
C -- Treasure
Treasure (8,5)
(8,5)
~• C
H -- Look
Look out
out (7,7)
(7,7)
~• H
D -- Den
Den (4,1)
(4,1)
~• D
쏋
Name two extra features of your own and give their coordinates.
Xx
x
F
62
Ax
Hx
Dx
Cx
Gx
VARIABLE
Practice
29c 29c
ANSWERS:Exercise
Practice Exercise
Geometry:
Geometry:Position
Positionand
andCoordinates
Coordinates
P29c
쏋
At midnight you plan to leave the fort (4,6), zigzag your way across the interior
of the island, dig up the treasure, bury half underneath the palm tree and then
zigzag your way silently to the beach to signal the ship to collect you.
~• Give the coordinates for your planned route.
쏋
VARIABLE
Write down the coordinates of the shape ABCD.
A:
(1,1)
C:
(4,3)
9
8
B:
쏋
(1,3)
(4,1)
Add 4 to the first number in each pair
of coordinates to create a new shape
EFGH.
E: (5,1)
F:
쏋
D:
(5,3)
G:
H:
(8,3)
(8,1)
Plot and join the new points. What
has happened to shape ABCD?
Translated 4 squares to
the right.
쏋
Now add 4 to the second number in
each pair of coordinates of shape
ABCD to create a new shape PQRS.
P:
(1,5)
R:
(4,7)
Q:
(1,7)
S:
(4,5)
7
Q
R
P
S
B
C F
G
A
D E
H
6
5
4
3
2
1
0
1
쏋
2
3
4
5
6
7
8
9
Plot and join the new points. What
has happened to shape ABCD?
Translated 4 squares up.
63
Practice
30a and
ANSWERS:Exercise
Practice Exercise
30a 30b
and 30b
Statistics:
Statistics:Handling
HandlingData
Data
P30a
쏋
There are 30
children in Year 4
and this table
shows what they
like doing best
at playtime.
• Complete
the missing
information
in the table.
Favourite activity
at playtime
Tally of
children
Number of
children
Skipping
|||| |||
8
Football
|||| ||||
10
Hopscotch
|||
3
Jacks
||||
5
Chatting
||||
4
• Which is the most popular activity?
• Which is the least popular?
Football
Hopscotch
P30b
쏋
Forty children were asked which school clubs they might be interested in.
This pictogram shows the results.
Interest in school clubs
Listening to music
Making music
Painting
Sculpture
Knitting
= 2 children
64
• Now use the data in this pictogram to complete the bar chart on the next page.
Practice
30b 30b
ANSWERS:Exercise
Practice Exercise
Statistics:
Statistics:Handling
HandlingData
Data
P30b continued
Interest in school clubs
10
Number of children
9
8
7
6
5
4
3
2
1
0
Listening to
Music
Making Music
• How many more
children like sculpture
than painting?
6
Painting Sculpture
• There have to be at least six pupils
for a club to run. Name any
activities likely to be cancelled.
• Are musical activities
more popular than
arts and crafts?
Knitting
Painting
No
• How many children like
musical activities?
17
• What other information does this pictogram give you? Make at least three
statements about what you have learned below:
EXAMPLE
1. Only 36 children have made a choice.
2. Nearly half have chosen musical activities.
3. Knitting is quite popular.
65
Practice
30c 30c
ANSWERS:Exercise
Practice Exercise
Statistics:
Statistics:Handling
HandlingData
Data
P30c
쏋
Here’s a graph showing a
journey by car.
B
A
3
쏋
Use the graph to answer the
questions which follow.
• Approximately what distance was
travelled in the first
2.5 hrs of the journey?
40 km
• What distance was
covered between
A and B?
• How long does it take to get
from the 30 km point
to the 50 km point?
2 hrs
• In which hour do
20 km
• Explain why you think that.
EXAMPLE
By point A they are 30 km away
from home. By point B they are
50 km away from home. The
difference between 30 and 50 is
20. So the distance covered
between A and B is 20 km.
66
5
4
they travel the
greatest distance?
1st hour
• Why do you think this was so?
EXAMPLE
There might have been less traffic
and no traffic jams or the roads
might have been better. They
might have been on a motorway
in the first hour and side roads
after that.