PRIMARY MATHS CHALLENGE

1
PRIMARY MATHS CHALLENGE 2006
A selection of questions from the semi - final
and final rounds
2
Slides with a black background are presentation
and answer slides. Click on the green dot to
activate answer sequence Slides black on white
are printable, non-animated versions.
3
Round one questions
Semi - final
4
Which two numbers in this chart add up to 1000?
388
275
425
275
900
444
355
675
745
101
125
405
725
725
5
A cube and two similar cylinders weigh 250g
altogether. A cube and three similar cylinders
weigh 300g altogether. How much does a cube
weigh?
The extra cylinder weighs 50g
The two original cylinders weigh 100g altogether.
The cube weighs 250g - 100g 150g.
6
Joe has two 50p coins, three 20p coins and three
5p coins in his pocket. He wants to buy a
football. How much more money does he need?
Joe has 1 60p 15p 1.75
He needs 4 - 1.75 2.25 more
4.00
7
The graph below shows how 50 children travel to
school.
Walk
Car
Bus
Bicycle
0
20
5
10
15
15
A. How many children walk to school?
B. How many children travel to school on at least
four wheels?
25
20 5 25
8
The perimeter of the pentagon is 90cm. Each of
the longer sides are the same length. Each of the
shorter sides are the same length. How long are
each of the longer sides?
The three longer sides total
90cm - 21cm 69cm
The two shorter sides total 21cm
10.5cm
23cm
One longer side is 69cm 3 23cm
9
Which three 2-d shapes are hidden? All the
letters must be used.
Q
E
E
S
R
T
A
K
I
I
A
N
U
E
G
R
L
T
Q
E
E
S
R
T
A
K
I
I
A
N
U
E
G
R
L
T
Q
E
E
S
R
T
A
K
I
I
A
N
U
E
G
R
L
T
Q
E
S
R
A
U
T
I
A
N
E
G
R
L
E
K
I
T
10
If you add together the numbers 1 - 20
inclusive, what is your total?
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
16 17 18 19 20
1 20 21
10 11 21
2 19 21
This will make ten lots of 21.
3 18 21
10 x 21 210.
4 17 21
210
Add each pair of numbers until ...
11
The triangle XYZ is isosceles and joins on to a
square. Use what you know about squares and
isosceles triangles to calculate the value of
angle A.
Y
A
800
500
800
400
Z
X
Angle A is 500
12
The price of this guitar is increased by
15. What is its new price?
To find 15 first find 10.
380
10 0f 380 is 38.
Now find 5 which is half of 10.
So 5 is 19.
Now add your two answers 38 19 57
The new price is 380 57 437
13
Amys printer prints 18 sheets per minute in
black and white and 13 sheets per minute in
colour. She has to print 90 black and white
sheets and 52 colour sheets. How many minutes
less than a quarter of an hour will the job take?
90 black and white sheets will take 5 minutes.
52 colour sheets will take 4 minutes.
6 min.
The job will take 9 minutes which is 6 minutes
less than a quarter of an hour.
14
Ben does these decimal calculations. He then
arranges his answers in order starting with the
smallest number. Write your answers in the same
order as Ben using the code letters.
A 3.4 x 3 B 21.6 - 11.1 C 6.3 3.8
D 30.9 3
A 3.4 x 3 10.2 B 21.6 - 11.1
10.5 C 6.3 3.8 10.1 D 30.9 3 10.3
C
A
D
B
15
How many cubes make this shape? Some may be
hidden.
17
16
The rule for this sequence of numbers is multiply
by 2 and then subtract 3 from your answer.
4
5
11
35
67
7
19
131
17
Four of the shapes in this diagram are in the
wrong place. Write the letters of those shapes.
Quadrilaterals
More than 4 sides
Symmetrical
A
C
D
E
F
C
F
C
F
B
Not symmetrical
G
H
G
G
I
I
I
J
C
F
G
I
18
What fraction of the large square is shaded grey?
1
10
11
12
2
3
4
13
5
6
7
14
9
9
8
15
16
16
19
A sheet of postage stamps has 12 stamps in a row
and ten rows of stamps. Each stamp is worth
8p. What is the value of 5 similar sheets of
stamps?
There are 12 x 10 stamps on a sheet 120
stamps
There are 120 x 5 stamps altogether 600
stamps
600 stamps _at_ 8p each 4800p or 48
20
What are the co-ordinates of the centre of this
square?
y
(1, 3)
(-2,3)
x
0
-1
21
What are the weights shown by the arrows on the
scale?
B
A
400g
500g
350g
450g
550g
375g
525g
A 525g
B 375g
22
a 5, b 3 and c 2
a2 means a x a
3a means 3 x a
Using the information above work out the
following equation.
(b2 3c) 2a ?
(b2 3c) 9 6 15
15 10 1.5
23
Jacks car travels 6.5Km on each litre of
petrol. On a journey he uses 12 litres of
petrol. A litre costs 90p. How much does the
petrol for the journey cost?
Cost is 12 litres x 90p 1080p or 10.80
Redundant information
24
Which two numbers in this chart add up to 1000?
388
275
425
900
444
355
675
745
101
125
405
725
25
A cube and two cylinders weigh 250g altogether. A
cube and three cylinders weigh 300g
altogether. How much does a cube weigh?
26
Joe has two 50p coins, three 20p coins and three
5p coins in his pocket. He wants to buy a
football. How much more money does he need?
4.00
27
The graph below shows how 50 children travel to
school.
Walk
Car
Bus
Bicycle
0
20
A. How many children walk to school?
B. How many children travel to school on at least
four wheels?
28
The perimeter of the pentagon is 90cm. Each of
the longer sides are the same length. Each of the
shorter sides are the same length. How long are
each of the longer sides?
10.5cm
29
Which three 2-d shapes are hidden? All the
letters must be used.
Q
E
E
S
R
T
A
K
I
I
A
N
U
E
G
R
L
T
30
If you add together the numbers 1 - 20
inclusive, what is your total?
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
16 17 18 19 20
31
The triangle XYZ is isosceles and joins on to a
square. Use what you know about squares and
isosceles triangles to calculate the value of
angle A.
Y
A
800
Z
X
32
The price of this guitar is increased by
15. What is its new price?
380
33
Amys printer prints 18 sheets per minute in
black and white and 13 sheets per minute in
colour. She has to print 90 black and white
sheets and 52 colour sheets. How many minutes
less than a quarter of an hour will the job take?
34
Ben does these decimal calculations. He then
arranges his answers in order starting with the
smallest number. Write your answers in the same
order as Ben using the code letters.
A 3.4 x 3 B 21.6 - 11.1 C 6.3 3.8
D 30.9 3
35
How many cubes make this shape? Some may be
hidden.
36
The rule for this sequence of numbers is multiply
by 2 and then subtract 3 from your answer.
4
5
11
35
67
37
Four of the shapes in this diagram are in the
wrong place. Write the letters of those shapes.
Quadrilaterals
More than 4 sides
Symmetrical
A
C
D
E
F
B
Not symmetrical
G
H
I
J
38
What fraction of the large square is shaded grey?
39
A sheet of postage stamps has 12 stamps in a row
and ten rows of stamps. Each stamp is worth
8p. What is the value of 5 similar sheets of
stamps?
40
What are the co-ordinates of the centre of this
square?
y
(-2,3)
x
0
-1
41
What are the weights shown by the arrows on the
scale?
B
A
400g
500g
42
a 5, b 3 and c 2
a2 means a x a
3a means 3 x a
Using the information above work out the
following equation.
(b2 3c) 2a ?
43
Jacks car travels 6.5Km on each litre of
petrol. On a journey he uses 12 litres of
petrol. A litre costs 90p. How much does the
petrol for the journey cost?
44
Semi - final
Round two questions
45
Which number when multiplied by itself gives an
answer that is half of 72?
6
Half of 72 is 36
6 x 6 36
46
What is the cost of 2 chocolate bars if five
similar bars cost 2 altogether?
80p
One bar costs 2 (200p) 5 40p
Two bars cost 40p x 2 80p
47
The shape below is made up of two squares like
this one
30cm
5cm
10cm
5cm
5cm
10cm
What is the perimeter of the new shape?
48
The graph shows the most popular sandwiches
brought to school for lunch.
Ham
Egg
Tuna
Cheese
Chicken
0
20
Egg
A. Which was the least favourite sandwich?
B. Which two types of sandwich were liked equally?
Tuna and chicken
C. How many cheese sandwiches and ham sandwiches
were liked altogether?
35
49
Each weight this size is 200g
600g 5 120g
600g
The scales balance with five weights
120g
What does each weigh
50
Which numbers are missing from this sequence?
The rule is subtract 2 and double your answer.
8
12
20
68
6
36
6
36
51
Tom makes square picture frames out of wood. Each
side is 8cm long. How many picture frames can he
make from a piece of wood that is 160 cm long?
5
8cm
8cm
8cm
Each frame needs 32cm of wood. 160 32 5
8cm
52
At a school disco three-eighths of the children
are boys. There are 48 children at the disco. How
many children are girls?
30
One-eighth is 48 8 6 children.
Three-eighths are 6 x 3 18 boys.
48 children - 18 boys 30 girls.
53
Here are some nets of solid shapes
Which of the shapes below can be made from the
nets?
cylinder cube tetrahedron
triangular prism cuboid square-based
pyramid cone sphere
54
It takes 1 hour and 5 minutes for the train to
travel from Grimsby to Lincoln. The 1537 train
sets off 27 minutes late and does not make up
lost time on the journey. What time does the
train arrive in Lincoln?
1709
55
Which of these statements are true and which are
false?
F
A. All quadrilaterals have at least one line of
symmetry
F
B. All prime numbers are odd.
T
C. The number 91 has both 7 and 13 as factors.
D. A triangle with 2 equal sides and 2 equal
angles is isosceles .
T
E. 100mm make 1 metre.
F
56
20 of a number is equal to 80. What is the
number?
400
20 x 5 100
To find the number multiply 80 by 5. 80 x 5
400
57
The conversion graph shows the exchange between
Euros (E) and Pounds ()
E80
70
A. Ben goes to Spain. He exchanges 56. How
many Euros does he receive?
A. Ben goes to Spain. He exchanges 56. How
many Euros does he receive?
35
B. Amy comes back from France with E30. How many
pounds can she change this back into?
B. Amy comes back from France with E30. How many
pounds can she change this back into?
0
E50
E100
21
58
Use the symbol / number code to calculate the
number problem. Answer using symbols.
0
1
2
3
4
5
6
7
8
9
SUBTRACT
c
6 4 0 7
3 2 5 1
3 1 5 6
59
Calculate the area of the shaded section in this
drawing. The white shapes are squares with the
same measurements.
24cm
6cm
216cm2
12cm
The area of the large rectangle is 24 x 12
288cm2
The area of each small square is 6 x 6 36cm2
The area of the shaded part is 288cm2 - 72cm2
216cm2
60
A football team scores 48 goals in one
season. Sam scores one-third of them, Jack scores
25 of them, Ben scores 9 goals the rest are
scored by other players. How many goals did the
other players score?
One-third of 48 goals is 16 goals.
25 of 48 goals is 12 goals.
16 12 9 37 goals.
48 - 37 11 goals.
11 goals
61
Jody buys 2 boxes of chocolates each costing
9.99, 500g of sweets costing 2.80 Kg and 3
sheets of wrapping paper costing 95p a sheet. She
has a 5 note, two 50p coins and three 20p coins
left. How much money did Jody have to start with?
Chocolates (19.98) sweets (1.40) wrapping
paper (2.85) 24.23.
Jody has 5 1.00 60p 6.60 left
30.83
Jody started with 24.23 6.60
30.83
62
The perimeter of the regular octagon is 24cm. The
perimeter of the square is 12cm.
Jack makes the shape below from squares and
octagons. What is the perimeter of the new shape
he makes?
60cm
63
Which three of these numbers are not in the
correct place in the Venn diagram?
Even numbers
Numbers less than 100
125
98
95
40
100
101
76
410
532
4
21
13
132
222
63
120
98, 222, 101
64
Which number when multiplied by itself gives an
answer that is half of 72?
65
What is the cost of 2 chocolate bars if five
similar bars cost 32 altogether?
66
The shape below is made up of two squares like
this one
5cm
What is the perimeter of the new shape?
67
The graph shows the most popular sandwiches
brought to school for lunch.
Ham
Egg
Tuna
Cheese
Chicken
0
20
A. Which was the least favourite sandwich?
B. Which two types of sandwich were liked equally?
C. How many cheese sandwiches and ham
sandwiches were liked altogether?
68
Each weight this size is 200g
The scales balance with five weights
What does each weigh
69
Which numbers are missing from this sequence?
The rule is subtract 2 and double your answer.
8
12
20
68
70
Tom makes square picture frames out of wood. Each
side is 8cm long. How many picture frames can he
make from a piece of wood that is 160 cm long?
71
At a school disco three-eighths of the children
are boys. There are 48 children at the disco. How
many children are girls?
72
Here are some nets of solid shapes
Which of the shapes below can be made from the
nets?
cylinder cube tetrahedron
triangular prism cuboid square-based
pyramid cone sphere
73
It takes 1 hour and 5 minutes for the train to
travel from Grimsby to Lincoln. The 1537 train
sets off 27 minutes late and does not make up
lost time on the journey. What time does the
train arrive in Lincoln?
74
Which of these statements are true and which are
false?
A. All quadrilaterals have at least one line of
symmetry
B. All prime numbers are odd.
C. The number 91 has both 7 and 13 as factors.
D. A triangle with 2 equal sides and 2 equal
angles is isosceles .
E. 100mm make 1 metre.
75
20 of a number is equal to 80. What is the
number?
76
The conversion graph shows the exchange between
Euros (E) and Pounds ()
70
A. Ben goes to Spain. He exchanges 56. How
many Euros does he receive?
35
B. Amy comes back from France with E30. How many
pounds can she change this back into?
0
E50
E100
77
Use the symbol / number code to calculate the
number problem. Answer using symbols.
0
1
2
3
4
5
6
7
8
9
SUBTRACT
78
Calculate the area of the shaded section in this
drawing. The white shapes are squares with the
same measurements.
24cm
6cm
12cm
79
A football team scores 48 goals in one
season. Sam scores one-third of them, Jack scores
25 of them, Ben scores 9 goals the rest are
scored by other players. How many goals did the
other players score?
80
Jody buys 2 boxes of chocolates each costing
9.99, 500g of sweets costing 2.80 Kg and 3
sheets of wrapping paper costing 95p a sheet. She
has a 5 note, two 50p coins and three 20p coins
left. How much money did Jody have to start with?
81
The perimeter of the regular octagon is 24cm. The
perimeter of the square is 12cm.
Jack makes the shape below from squares and
octagons. What is the perimeter of the new shape
he makes?
82
Which three of these numbers are not in the
correct place in the Venn diagram?
Even numbers
Numbers less than 100
125
98
95
40
100
101
76
410
532
4
21
13
132
222
63
120
83
Final
Round one questions
84
The lines of numbers each add up to 150. Which
numbers are needed to to complete each line?
45
35
70
100
20
30
60
85
The sports shop
A. What is the difference in price between the
most expensive and least expensive item?
25.49
99.51
45.49
125 - 25.49 99.51
125.00
B. Ashley has three 20 notes. She buys an item
and has 14.51 change. Which item did Ashley buy?
44.99
60 - 14.51 45.49
Football boots
86
The difference between two numbers is 19. The
total of the same two numbers is 91. What are
the two numbers?
36
55
55 - 36 19
55 36 91
87
Amy arrives for an appointment. She looks at her
watch it says 1305. She finds that she is 45
minutes late. What time was her appointment for?
1220
Different forms of the same answer are acceptable
88
This shape is made from 16 cubes altogether. How
many cubes are hidden?
4
89
The height of a plant doubles every week. Jade
measures her plant in week one. It is 20mm
high. How many more weeks will it take for the
plant to be at least 64cm high?
5 weeks
90
Karens regular pentagon has sides measuring
9cm. Lucys regular hexagon has a perimeter of
twice the perimeter of Karens pentagon. What is
the length of one side of Lucys hexagon?
Perimeter of pentagon 45cm
Perimeter of hexagon 90cm
Side of hexagon 90cm 6 15cm
15cm
91
9
21
5
7
9
9
23
5
9
19
17
27
19
Each shape stands for a number.
The columns and rows add up to the totals shown.
7
What is the value of a square?
92
Use all the letters in this circle to make the
names of two shapes. All letters must be used.
There is only one solution.
E
N
C
Y
I
L
R
D
E
E
R
R
I
I
O
O
Y
Y
N
N
N
N
C
C
E
E
L
L
D
D
C
C
N
E
C
O
93
A litre of water weighs 1kg. Joes water bottle
when full holds 1.5 litres of water. The bottle
and water weigh 1650g altogether. What is the
weight of the bottle?
150g
150g
150g
150g
150g
150g
150g
150g
150g
150g
150g
150g
150g
150g
150g
150g
150g
150g
150g
94
The circle fits inside a square and has a radius
of 13cm. What is the perimeter of the square?
26cm
The sides of the square are the same length as
the diameter.
Diameter of circle is 26cm (twice the radius)
104cm
26cm x 4 104cm
95
The table shows times taken for six children to
run 400m.
Child
Time in sec.
Jack
74.25
11.85 sec.
11.85 sec.
11.85 sec.
Jordan
68.34
68.34
Sam
72.66
Ben
71.89
David
75.22
Peter
80.19
80.19
What is the difference between the fastest and
slowest times?
80.19sec. - 68.34sec. 11.85sec.
96
The graph shows the favourite snacks of a group
of 50 boys and girls.
Girls
10
Boys
8
8
Frequency
24 Boys
5
4
1
0
How many boys were in the survey?
10 8 1 5 14
97
Theatre tickets cost 12.00. Childrens tickets
are 4.50 cheaper. A family of 2 adults and 3
children go to the theatre. How much do the
tickets cost altogether for the family?
Childrens tickets cost 7.50.
2 adult tickets cost 24.00.
3 childrens tickets cost 3 x 7.50 22.50
Total cost 46.50.
46.50
98
Which number am I? I am a 3-digit number. I am
less than 250 but more than 200. My digits add up
to nine. Two of my digits are the same. I am a
square number.
225
225
225
225
225
225
225
225
225
225
225
225
225
225
99
The dotted line is the mirror line. Which of the
shapes below is a reflection of this shape?
A
B
C
D
E
F
E
E
100
The triangle in this drawing is equilateral. It
joins an oblong as shown. What is the size of
angle A?
A
1800 - (900 600) 1800 - 1500 300
300
101
This stack of cubes is made from similar
cubes. The total height is 56cm. What is the area
of any one face of any cube?
7 cubes. Each cube is 8cm tall. One surface or
square face 8cm x 8cm 64cm2
8cm
8cm
64cm2
102
What is 25 of seven-tenths of 400?
One-tenth of 400 is 400 10 40
Seven-tenths of 400 is 40 x 7 280
25 of 280 is 280 4 70
70
103
The lines of numbers each add up to 150. Which
numbers are needed to to complete each line?
45
35
100
60
104
The sports shop
A. What is the difference in price between the
most expensive and least expensive item?
25.49
45.49
125.00
B. Ashley has three 20 notes. She buys an
item and has 14.51 change. Which item did Ashley
buy?
44.99
105
The difference between two numbers is 19. The
total of the same two numbers is 91. What are
the two numbers?
106
Amy arrives for an appointment. She looks at her
watch it says 1305. She finds that she is 45
minutes late. What time was her appointment for?
107
This shape is made from 16 cubes altogether. How
many cubes are hidden?
108
The height of a plant doubles every week. Jade
measures her plant in week one. It is 20cm
high. How many more weeks will it take for the
plant to be at least 64cm high?
109
Karens regular pentagon has sides measuring
9cm. Lucys regular hexagon has a perimeter of
twice the perimeter of Karens pentagon. What is
the length of one side of Lucys hexagon?
110
21
23
19
17
27
19
Each shape stands for a number.
The columns and rows add up to the totals shown.
What is the value of a square?
111
Use all the letters in this circle to make the
names of two shapes. All letters must be used.
There is only one solution.
E
R
I
O
Y
N
N
C
E
L
D
C
112
A litre of water weighs 1kg. Joes water bottle
when full holds 1.5 litres of water. The bottle
and water weigh 1650g altogether. What is the
weight of the bottle?
113
The circle fits inside a square and has a radius
of 13cm. What is the perimeter of the square?
114
The table shows times taken for six children to
run 400m.
Child
Time in sec.
Jack
74.25
Jordan
68.34
Sam
72.66
Ben
71.89
David
75.22
Peter
80.19
What is the difference between the fastest and
slowest times?
115
The graph shows the favourite snacks of a group
of 50 boys and girls.
Girls
Boys
8
Frequency
4
0
How many boys were in the survey?
116
Theatre tickets cost 12.00. Childrens tickets
are 4.50 cheaper. A family of 2 adults and 3
children go to the theatre. How much do the
tickets cost altogether for the family?
117
Which number am I? I am a 3-digit number. I am
less than 250 but more than 200. My digits add up
to nine. Two of my digits are the same. I am a
square number.
118
The dotted line is the mirror line. Which of the
shapes below is a reflection of this shape?
A
B
C
D
F
E
119
The triangle in this drawing is equilateral. It
joins an oblong as shown. What is the size of
angle A?
A
120
This stack of cubes is made from similar
cubes. The total height is 56cm. What is the area
of any one face of any cube?
121
What is 25 of seven-tenths of 400?
122
Final
Round two questions
123
Which of these shapes do not have a line of
symmetry?
B
C
A
E
D
F
A, C, F
124
Which of these numbers have 3, 4 and 6
as factors?
6
9
72
16
42
72
12
36
30
56
18
12
36
125
What weight is indicated by the pointer on this
scale?
4Kg
3.75Kg or 3.750Kg 3750g or 3Kg 750g
2Kg
126
Shannon earns 7.45 a week from her paper round.
She spends 5.95 a week and saves the rest. How
much has she saved after 8 weeks?
7.45 - 5.95 1.50
1.50 x 8 12
12
127
Which two signs must you put in this equation to
make the number sentence correct?
A
B
( 6 6 ) 6 42
X

128
Which of the three shapes below will fit together
to make the large square?
B
A
C
D
E
B, D E
129
The graph shows the range of scores out of 30 in
a maths test.
Number of children
40
30
20
20
15
0
10
0 - 5
6 - 10
11 - 15
16 - 20
21 - 25
26 - 30
A. How many children scored between 0 and 5
marks?
B. How many children scored more than 15 marks?
65
130
Three-fifths of a number is 24. What is a quarter
of the number?
10
The whole number
Three-fifths is 24
8
8
8
8
8
The whole number is 40
quarter of 40 is 40 4 10
131
Which of these statements are true and which
false?
A. the dotted line is perpendicular to the solid
line.
true
true
A
B. The value of angle A is 600
C. The radius of a circle is the distance
across the circle from side to side going
through the centre.
false
132
Five children are going to play tennis. They play
each other once. How many games are played
altogether?
10
10
10
10
10
10
10
10
10
10
10
10
10
10
133
The bead pattern is continuous.
shaded
A. What colour will the 46th bead be,
white or shaded?
B. What number in the sequence will the 16th
white bead be?
28
134
George wants to shade ¾ of this square. How many
more small squares does he need to shade?
7
There are sixteen small squares. ¾ of 16
12. Shade in any 7 extra squares
135
Amy has a DVD recording disc that lasts 3
hours. She records a programme that lasts fifty
minutes. Later she records a programme that lasts
one hour and a half. How many minutes of
recording time are left on the disc?
40 minutes
136
The angles of a quadrilateral add up to 3600 The
triangle is isosceles. What is the size of the
angle at A?
1300
These two angles total 1800 - 500 1300
1300
1000
A
This is a quadrilateral
500
Angle A is 3600 - (1300 1300 ) 1000
137
Ben is building a fence along the side of his
garden. He uses panels 2m long and a post every
metre.
18 metres
9
A. How many panels does he need?
B. How many posts does he need? (Think
carefully)
19
138
Circles with curves, cylinders, cones and cubes
are geometric constructions or structures. The
mathematical connection is that they are shapes.
Isosceles, congruent and calculate are considered
mathematical terms.
Circles with curves, cylinders, cones and cubes
are geometric constructions or structures. The
mathematical connection is that they are shapes.
Isosceles, congruent and calculate are considered
mathematical terms.
Read the passage carefully. How many times does
the letter c appear in the passage?
19
139
Sam has some books that he wants to put on new
shelving. The books weigh 43 Kg altogether. The
shelves he buys each take a maximum load of 5
Kg. Each shelf costs 15.
9
A. How many shelves does Sam need to buy?
B. How much does Sam pay for the shelves
altogether?
135
140
A machine cuts metal discs from a sheet like the
one shown. The drawing does not show all the
discs that may be cut from a sheet. The area of
each disc is 5cm2.
40 cm
60
8 cm
A. How many discs can be cut from 1 sheet?
B. What is the area of waste material left on
each sheet after cutting?
20cm2
Area of sheet 320cm2. Area of cut discs 60
x 5 300 cm2 Area remaining 320cm2 -
300cm2 20cm2
141
Which of these shapes do not have a line of
symmetry?
B
C
A
E
F
D
142
Which of these numbers have 3, 4 and 6
as factors?
6
9
72
16
42
12
36
30
56
18
143
What weight is indicated by the pointer on this
scale?
4Kg
2Kg
144
Shannon earns 7.45 a week from her paper round.
She spends 5.95 a week and saves the rest. How
much has she saved after 8 weeks?
145
Which two signs must you put in this equation to
make the number sentence correct?
A
B
( 6 6 ) 6 42
146
Which of the three shapes below will fit together
to make the large square?
A
B
C
E
D
147
The graph shows the range of scores out of 30 in
a maths test.
Number of children
40
20
0
0 - 5
6 - 10
11 - 15
16 - 20
21 - 25
26 - 30
A. How many children scored between 0 and 5
marks?
B. How many children scored more than 15 marks?
148
Three-fifths of a number is 24. What is a quarter
of the number?
149
Which of these statements are true and which
false?
A. the dotted line is perpendicular to the solid
line.
A
B. The value of angle A is 600
C. The radius of a circle is the distance
across the circle from side to side going
through the centre.
150
Five children are going to play tennis. They play
each other once. How many games are played
altogether?
151
The bead pattern is continuous.
A. What colour will the 46th bead be,
white or shaded?
B. What number in the whole sequence will the
16th white bead be?
152
George wants to shade ¾ of this square. How many
more small squares does he need to shade?
153
Amy has a DVD recording disc that lasts 3
hours. She records a programme that lasts fifty
minutes. Later she records a programme that lasts
one hour and a half. How many minutes of
recording time are left on the disc?
154
The angles of a quadrilateral add up to 3600 The
triangle is isosceles. What is the size of the
angle at A?
1300
1300
A
500
155
Ben is building a fence along the side of his
garden. He uses panels 2m long and a post every
metre.
18 metres
A. How many panels does he need?
B. How many posts does he need? (Think
carefully)
156
Circles with curves, cylinders, cones and cubes
are geometric constructions or structures. The
mathematical connection is that they are shapes.
Isosceles, congruent and calculate are considered
mathematical terms.
Read the passage carefully. How many times does
the letter c appear in the passage?
157
Sam has some books that he wants to put on new
shelving. The books weigh 43 Kg altogether. The
shelves he buys each take a maximum load of 5
Kg. Each shelf costs 15.
A. How many shelves does Sam need to buy?
B. How much does Sam pay for the shelves
altogether?
158
A machine cuts metal discs from a sheet like the
one shown. The drawing does not show all the
discs that may be cut from a sheet. The area of
each disc is 5cm2.
40 cm
8 cm
A. How many discs can be cut from 1 sheet?
B. what is the area of waste material left on
each sheet after cutting?