1.
Write three decimals, each greater than zero, which add together to make a
total of 0.01
+
+
= 0.01
1 mark
2.
Write two fractions, each greater than 0 and less than 1, which have a
difference of
3
4
1 mark
3.
A special dice has the numbers 1 to 6 on it. It is in the shape of a cuboid so that
a 6 or a 1 is less likely to come up than a 2, 3, 4 or 5.
The probability of rolling a 6 is 0.1
The probability of rolling a 1 is 0.1
The numbers 2, 3, 4 or 5 each have an equal probability of coming up.
Blackfield Primary School
1
Calculate the probability of rolling a 5 with this dice.
Show
your method.
You may get
a mark.
cm
2 marks
4.
Two telephone companies, Supertalk and Quickline, have different charges for
long distance calls.
This graph shows the charges for different lengths of calls.
cost of call
in pence
350
Supertalk
300
250
Quickline
200
150
100
50
0
100
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200 300 400 500 600
length of call in seconds
700
800
2
Estimate from the graph how many seconds longer a £2 call lasts with Supertalk
compared to Quickline.
seconds
1 mark
Estimate from the graph the length of a call when Quickline becomes cheaper to
use than Supertalk.
Give your answer to the nearest 10 seconds.
seconds
1 mark
5.
In a class the ratio of boys to girls is 7:4
There are 9 more boys than girls.
How many children are in the class?
Show
your method.
You may get
a mark.
cm
2 marks
Blackfield Primary School
3
6.
Find the value of y in the equation.
8 + y = 7 + 5y
Show
your method.
You may get
a mark.
cm
2 marks
7.
The diagram shows a shaded triangle inside a larger triangle.
The area of the shaded triangle is 52 cm2.
The area of the shaded triangle is
Blackfield Primary School
4
of the area of the larger triangle.
9
4
Calculate the area of the larger triangle.
Show
your method.
You may get
a mark.
cm
2 marks
8.
Two of the ingredients of chocolate are cocoa and sugar.
In milk chocolate,
20% of the mass is cocoa, 55% is sugar.
Blackfield Primary School
5
A bar of milk chocolate contains 50 grams of cocoa.
How many grams of sugar does it contain?
Show
your method.
You may get
a mark.
cm
2 marks
9.
This is a centimetre grid.
On the grid draw a triangle which has an area of 7.5cm2 and which has an
obtuse angle.
Use a ruler.
2 marks
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6
10.
5
= 0.454545 ...
11
Find a fraction that is equal in value to
0.0454545 ...
1 mark
11.
Rajiv makes this circular spinner.
1
6
20º
2
90º
100º
40º
5
80º
30º
3
4
Calculate the probability of scoring 5 on Rajiv’s spinner.
Give your answer as a fraction.
1 mark
Blackfield Primary School
7
Vicky makes this rectangular spinner.
8
1
7
2
6
3
5
4
All the sections have equal areas.
She says,
'All the numbers on my spinner have the same probability of coming up'.
Explain why Vicky is not correct.
...............................................................................................................................
...............................................................................................................................
...............................................................................................................................
1 mark
Blackfield Primary School
8
12.
The diagram shows a shaded square inside a larger square.
3cm
14cm
Calculate the area of the larger square.
cm2
1 mark
Calculate the area of the shaded square.
Show
your method.
You may get
a mark.
cm
2 marks
Blackfield Primary School
9
13.
The pie chart below shows the different kinds of homes in Lamton village.
Semi–detached
houses
Terraced
houses
Detached
houses
Flats
Others
Homes in
Lamton
Altogether there are 550 homes in Lamton.
Use an angle measurer (protractor) to help you calculate how many flats
there are.
Show
your method.
You may get
a mark.
cm
2 marks
Blackfield Primary School
10
14.
Triangle ABC is equilateral.
A
Not to
scale
108º
x
B
C
Calculate the size of angle x.
Do not use an angle measurer (protractor).
x=
1 mark
Blackfield Primary School
11
15.
This diagram is not drawn to scale.
y=x+5
y
A
(?,9)
x
0
B
( –8 , ? )
A and B are two points on the graph of y = x + 5
Write the missing co-ordinates of A and B.
A (
, 9)
1 mark
B (–8,
)
1 mark
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12
Write the co-ordinates of the point where the graph of y = x + 5 crosses the x -axis.
(
)
,
1 mark
16.
Ben makes a letter 'B' out of a piece of wire.
It has a straight side and two equal semicircles.
Each semicircle has a diameter of 15cm.
15 cm
15 cm
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13
Calculate the total length of the wire.
Show
your method.
You may get
a mark.
cm
2 marks
Blackfield Primary School
14