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Q1.
(a)
Write 0.3 as a fraction.
Answer ............................................
(1)
(b)
Write 4% as a decimal.
Answer ............................................
(1)
(Total 2 marks)
Q2.
Simon uses this method to work out
% of 240.
50 % of 240 = 120
25 % of 240 = 60
12
Adding
(a)
87
% of 240 = 30
% of 240 = 210
Use Simon’s method to work out
You must show your working.
% of 96.
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Answer .................................................
(2)
Page 1 of 16
(b)
Pete says that he can work out
step.
% of 240 by using Simon’s method with one extra
Explain how Pete can do this.
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(2)
(Total 4 marks)
Q3.
The diagram shows a network of one-way streets.
Vehicles travel in the direction of the arrows.
The fractions on the diagram show how the traffic divides at each junction.
300 vehicles enter the network at A.
All 300 vehicles leave the network at either B or C or D.
(a)
Show that 200 vehicles leave the network at B.
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(2)
Page 2 of 16
(b)
How many vehicles leave the network at D?
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Answer .................................................
(3)
(Total 5 marks)
Q4.
For each part circle the fraction whose value is closest to 1.
(a)
(1)
(b)
(1)
(Total 2 marks)
Q5.
(a)
In a primary school the ratio of boys to girls is 7 : 8
For each statement write down whether it is
D
C
F
Definitely true
Could be true
False
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(i)
The number of boys in the school is 49
..................
(ii)
The fraction of boys in the school is
..................
(iii)
The fraction of girls in the school is
..................
(3)
Page 3 of 16
(b)
In a secondary school the ratio of boys to girls is 10 : 11
There are 830 boys in the school.
How many girls are there in the school?
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Answer .................................................
(2)
(Total 5 marks)
Q6.
Two car hire firms use different ways of charging for the hire of a car.
(a)
Cheap Days uses this formula.
H = 50d + 120
H is the hire charge in pounds.
d is the number of days the car is hired.
Work out H when d = 2
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Answer £.................................................
(2)
Page 4 of 16
(b)
Cheap Miles uses this formula.
H is the hire charge in pounds.
m is the number of miles the car travels.
Work out m when H = 200
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Answer ................................................. miles
(2)
(Total 4 marks)
Page 5 of 16
M1.
(a)
oe fraction
B1
(b)
(0).04
B1
[2]
Page 6 of 16
M2.
(a)
50% of 96
25% of 96
of 96 and attempt at sum
Must find 3 values
ft and allow 1 error in the 3 values
M1
84
84 with no working is M0
A1
Page 7 of 16
(b)
(
is) half of
(need to see both)
B1
Add this extra amount on
SC1 Obtains the value 225
B1 dep
[4]
Page 8 of 16
M3.
(a)
or
300 ÷ 3 × 2 or
of 300 or
of 300
300 ÷ 3 or
of 300 or
score B1
B2
Page 9 of 16
(b)
100 ÷ 5 or 20
oe
earns M1
M1
(Their 80) ÷ 2 or 40
earns M1
M1
60
A1
[5]
Page 10 of 16
M4.
(a)
Circles
Any indication
B1
Page 11 of 16
(b)
Circles –
Any indication
B1
[2]
Page 12 of 16
M5.
(a)
(i)
(ii)
F
(iii)
D
C
–1eeoo
B3
Page 13 of 16
(b)
oe 83
M1
913
A1
[5]
Page 14 of 16
M6.
(a)
50 × 2 + 120
or Better, eg, 100 + 120
M1
220
A1
Page 15 of 16
(b)
5 × 200 = m + 750
or
M1
250
A1
[4]
Page 16 of 16