1.
(a)
Write 11% as a fraction.
……………………..
(1)
(b)
Write 0.25 as a percentage.
……………………..%
(1)
(c)
Write 8% as a decimal.
……………………..
(1)
(d)
Work out 40% of 200.
……………………..
(2)
(Total 5 marks)
2.
Here is part of a train timetable from London to Glasgow.
(a)
Station
Time of leaving
London
08:30
Milton Keynes
09:05
Crewe
10:25
Warrington
10:43
Wigan
10:55
Preston
11:13
Carlisle
12:32
Motherwell
13:44
At what time should the train leave Crewe?
……………………
(1)
Nicola arrived at Preston station at 10:58.
(b)
How many minutes should she have to wait before the 11:13 train leaves?
……………………
(1)
The train should arrive in Glasgow at 14:02.
(c)
IV
How long should the train take to travel from London to Glasgow?
……………………
(2)
Yesterday 300 people got on the 08:30 train at London.
1
of these 300 people travelled to Glasgow.
5
(d)
(i) Write
1
as a decimal.
5
…………………….
(ii)
Work out how many people travelled from London to Glasgow on the 08:30 train
yesterday.
…………………….
(2)
Last month 34 756 people travelled on trains from London to Glasgow.
(e)
(i) Write 34 756 to the nearest thousand.
………………………
(ii)
Write down the value of the 4 in the number 34 756.
………………………
(2)
(Total 8 marks)
IV
3.
Ann buys stamps at 29p each.
She pays with a £5 note.
(a)
Work out the greatest number of 29p stamps Ann can buy.
……………………..
(2)
(b)
Work out the change she should get.
………………….. p
(1)
(Total 3 marks)
4.
For each journey, a taxi firm charges £2.60 for the first mile of the journey and £1.52 for each
extra mile.
(a)
Work out how much the taxi firm charges for an 18 mile journey.
£………………….
(2)
The taxi firm charged Helen £67.96 for a journey from the airport to her home.
(b)
Work out the number of miles from the airport to Helen’s home.
……………………
(2)
IV
On Christmas Day the taxi firm charges 24% more.
(c)
Work out how much the taxi firm charges for a 6 mile journey on Christmas Day.
£ ……………………
(2)
(Total 6 marks)
5.
Nassim buys petrol from his local garage.
On Monday, he filled up his tank.
On Tuesday, his tank was
(a)
3
full.
4
What fraction of the full tank of petrol had he used?
.....................................
(1)
(b)
Write
3
as a decimal.
4
.....................................
(1)
(c)
Write
3
as a percentage.
4
.....................................
(1)
The garage has a diagram for converting gallons to litres.
5
20
4
3
2
10
1
Gallons
(d)
IV
Use the diagram to convert
Litres
(i)
2 gallons to litres,
..................................... litres
(ii)
3.5 gallons to litres.
..................................... litres
(Total 5 marks)
6.
Here is part of a train timetable from Crewe to London.
(a)
Station
Time of Leaving
Crewe
08 00
Wolverhampton
08 40
Birmingham
09 00
Coventry
09 30
Rugby
09 40
Milton Keynes
10 10
At what time should the train leave Coventry?
.....................................
(1)
The train should arrive in London at 10 45
(b)
How long should the train take to travel from Crewe to London?
.....................................
(2)
IV
Verity arrived at Milton Keynes station at 09 53
(c)
How many minutes should she have to wait before the 10 10 train leaves?
....................... minutes
(1)
(Total 4 marks)
7.
54 327 people watched a concert.
(a)
Write 54 327 to the nearest thousand.
....................................
(1)
(b)
Write down the value of the 5 in the number 54 327.
....................................
(1)
(Total 2 marks)
8.
Every day, a quarter of a million babies are born in the world.
(a)
Write a quarter of a million using figures.
.......................................................
(1)
(b)
Work out the number of babies born in 28 days.
Give your answer in millions.
.......................................... million
(2)
(Total 3 marks)
IV
9.
Use your calculator to work out
(2.3 + 1.8)2 × 1.07
Write down all the figures on your calculator display.
.....................................
(Total 2 marks)
10.
Christine buys
a calculator costing £5.95
a pencil case costing £1.62
a ruler costing 25p
two pens costing 48p each
She pays with a £10 note.
(a)
How much change should she get from her £10 note?
£........................
(3)
Christine needs 160 tiles for a room.
Tiles are sold in boxes.
There are 12 tiles in each box.
(b)
Work out the least number of boxes of tiles that Christine needs.
................ boxes
(2)
IV
Each box of tiles costs £12.20
(c)
Work out the total cost of the boxes of tiles that Christine needs.
£........................
(2)
(Total 7 marks)
11.
Fiona has four cards.
Each card has a number written on it.
4
9
1
5
Fiona puts all four cards on the table to make a number.
(a)
(i)
Write the numbers on the cards to show the smallest number Fiona can make with
the four cards.
(ii)
Write the numbers on the cards to show the largest number Fiona can make with the
four cards.
(2)
Fiona uses the cards to make a true statement.
(b)
Write the number on the cards to make this true.
Use each of Fiona’s cards once.
+
=
(1)
IV
A fifth card is needed to show the result of the multiplication 4915 × 10. She needs a fifth card
(c)
Write the number that should be on the fifth card.
(1)
(Total 4 marks)
12.
Here is part of a railway timetable.
Manchester
07 53
09 17
10 35
11 17
13 30
14 36
16 26
Stockport
08 01
09 26
10 43
11 25
13 38
14 46
16 39
Macclesfield
08 23
09 38
10 58
11 38
13 52
14 58
17 03
Congleton
08 31
–
–
11 49
–
15 07
17 10
Kidsgrove
08 37
–
–
–
–
–
17 16
Stoke-on-Trent
08 49
10 00
11 23
12 03
14 12
15 19
17 33
A train leaves Manchester at 10 35.
(a)
At what time should this train arrive in Stoke-on-Trent?
.........................
(1)
Doris has to go to a meeting in Stoke-on-Trent.
She will catch the train in Stockport.
She needs to arrive in Stoke-on-Trent before 2 pm for her meeting.
(b)
Write down the time of the latest train she can catch in Stockport.
.........................
(1)
(c)
Work out how many minutes it should take the 14 36 train from Manchester to get to
Stoke-on-Trent.
............. minutes
(1)
IV
The 14 36 train from Manchester to Stoke-on-Trent takes less time than the 16 26 train from
Manchester to Stoke-on-Trent.
(d)
How many minutes less?
............. minutes
(2)
The graph shows the percentage of trains each month that arrived on time from August to
March.
%
100
Percentage
90
of trains
on time
80
70
×
×
×
×
×
×
×
60
×
50
40
30
20
10
(e)
MAY
APR
MAR
FEB
JAN
DEC
NOV
OCT
SEP
AUG
0
Use the graph to write down the
(i)
percentage of trains which arrived on time in December,
..................... %
(ii)
lowest percentage of trains which arrived on time.
..................... %
(2)
IV
The percentage for April was 70% and for May was 62%.
(f)
Complete the graph for April and for May.
(2)
(Total 9 marks)
13.
0
1
4
1
2
3
4
Full
The diagram shows the measuring scale on a petrol tank.
(a)
What fraction of the petrol tank is empty?
..........................
(1)
The petrol tank holds 28 litres when full.
A litre of petrol costs 74p.
(b)
Work out the cost of the petrol which has to be added to the tank so that it is full.
£ ..........................
(3)
IV
(c)
What is the reading on each of these scales?
(i)
40
50
(ii)
60 70
3
80
30
4
5
2
90
20
100
10
110
1
6
0
7
120
0
mph
amps
.................. mph
.................. amps
(2)
(Total 6 marks)
IV
14.
A shop has a sale.
The bar chart shows some information about the sale.
£
100
90
80
Key
70
60
Reduction
in price
50
40
30
Sale
price
20
Fryer
Mixer
Cook set
Microwave
Iron
0
Vacuum
cleaner
10
The normal price of a vacuum cleaner is £80
The sale price of a vacuum cleaner is £60
The price of a vacuum cleaner is reduced from £80 to £60
(a)
Write the sale price of a vacuum cleaner as a fraction of its normal price.
Give your answer in its simplest form.
..........................
(2)
(b)
Find the reduction in the price of the iron.
£ .......................
(1)
(c)
Which two items have the same sale price?
........................................ and ........................................
(1)
(d)
Which item has the greatest reduction in price?
.........................................
(1)
IV
Mixer
(e)
Fryer
Normal price
£90
Normal price
£85
Sale price
£70
Sale price
£70
Complete the bar chart for the mixer and the fryer.
(2)
(Total 7 marks)
15.
Joe can do, on average, 4 calculations on his calculator every minute.
(a)
How many calculations, on average, can he do in 7
1
minutes?
2
..........................
(2)
(b)
Use your calculator to work out the value of
(15 + 27.25)
..........................
(2)
(Total 4 marks)
IV
16.
Martin cleaned his swimming pool.
He hired a cleaning machine to do this job.
The cost of hiring the cleaning machine was
£35.50 for the first day,
then £18.25 for each extra day.
Martin’s total cost of hiring the machine was £163.25
(a)
For how many days did Martin hire the machine?
.................. days
(3)
Martin had to buy some cleaning materials.
The cost of the cleaning materials was £64.00 plus VAT at 17
(b)
1
%.
2
Work out the total cost of the cleaning materials.
£ .......................
(2)
(Total 5 marks)
17.
500
(a)
600
700
Write down the number marked with an arrow.
……………………..
(1)
IV
6
(b)
7
8
Write down the number marked with an arrow.
……………………..
(1)
30
(c)
40
50
Find the number 48 on the number line
(Mark it with an arrow (↑).
(1)
6
(d)
7
8
Find the number 6.7 on the number line.
Mark it with arrow (↑).
(1)
(Total 4 marks)
18.
The table below shows the cost of each of three calculators.
Compact
£2.30
Studio
£2.15
Basic
£2.80
Barbara buys one Studio calculator and one Compact calculator.
She pays with a £10 note.
(a)
How much change should she get?
£……………………
(4)
IV
Mrs Brown wants to buy some Basic calculators.
She has £60 to spend.
(b)
Work out the greatest number of Basic calculators she can buy.
……………………..
(2)
Mrs Brown gets a 25% reduction if she spends £120 or more.
(c)
Work out 25% of £120
£……………………
(2)
(Total 8 marks)
19.
The table shows the temperature on the surface of each of five planets.
(a)
Planet
Temperature
Venus
480 °C
Mars
– 60 °C
Jupiter
– 150 °C
Saturn
– 180 °C
Uranus
– 210 °C
Work out the difference in temperature between Mars and Jupiter.
…………………°C
(1)
(b)
Work out the difference in temperature between Venus and Mars.
…………………°C
(1)
IV
(c)
Which planet has a temperature 30 °C higher than the temperature on Saturn?
…………………….
(1)
The temperature on Pluto is 20 °C lower than the temperature on Uranus.
(d)
Work out the temperature on Pluto.
…………………°C
(1)
(Total 4 marks)
20.
Alison travels by car to her meetings.
Alison’s company pays her 32p for each mile she travels.
One day Alison writes down the distance readings from her car.
Start of the day: 2430 miles
End of the day: 2658 miles
(a)
Work out how much the company pays Alison for her day's travel.
£……………………
(4)
IV
The next day Alison travelled a total of 145 miles.
She travelled
(b)
2
of this distance in the morning.
5
How many miles did she travel during the rest of the day?
………………miles
(3)
IV
Tom also travels by car to his meetings.
Tom’s company works out the amount it will pay him for the distance he travels.
It uses the graph below.
120
100
80
Amount in
pounds (£)
60
40
20
50
(c)
100
150
Distance in miles
200
250
300
Use the graph to write down
(i)
the amount Tom’s company pays him when he travels 200 miles,
£……………………
(ii)
the distance Tom travels when his company pays him £50.
………………miles
(2)
(Total 9 marks)
IV
21.
The picture shows a man standing next to a giraffe.
The man and the giraffe are drawn to the same scale.
(a)
Write down an estimate for the height, in metres, of the man.
………………….m
(1)
(b)
Estimate the height, in metres, of this giraffe.
………………….m
(3)
(Total 4 marks)
22.
(a)
Express
(i)
2
5
as a decimal,
.......................
(ii)
0.3 as a fraction,
.......................
IV
(iii)
25 %
as a decimal
.......................
(3)
(b)
Put
2
,
5
0.3
and 25 % in order of size, smallest first.
…………………………………………………………..
(1)
(Total 4 marks)
23.
Aaron scored 17 out of 25 in a test.
Write this score as a percentage.
……………… %
(Total 2 marks)
24.
(a)
Write 11% as a fraction.
……………………..
(1)
(b)
Write 8% as a decimal.
……………………..
(1)
(c)
Work out 40% of 200.
……………………..
(2)
(Total 4 marks)
IV
25.
Here is part of a train timetable from London to Glasgow.
(a)
Station
Time of leaving
London
08:30
Milton Keynes
09:05
Crewe
10:25
Warrington
10:43
Wigan
10:55
Preston
11:13
Carlisle
12:32
Motherwell
13:44
At what time should the train leave Crewe?
……………………
(1)
Nicola arrived at Preston station at 10:58.
(b)
How many minutes should she have to wait before the 11:13 train leaves?
……………………
(1)
Yesterday 300 people got on the 08:30 train at London.
1
of these 300 people travelled to Glasgow.
5
(c)
(i)
Write
1
as a decimal.
5
…………………….
(ii)
Work out how many people travelled from London to Glasgow on the 08:30 train
yesterday.
…………………….
(2)
Last month 34 756 people travelled on trains from London to Glasgow.
IV
(d)
(i)
Write 34 756 to the nearest thousand.
………………………
(ii)
Write down the value of the 4 in the number 34 756.
………………………
(2)
(Total 6 marks)
26.
Ann buys stamps at 29p each.
She pays with a £5 note.
Work out the greatest number of 29p stamps Ann can buy.
……………………..
(Total 2 marks)
27.
A table tennis club has 180 members.
117 of the members are adults and the rest are children.
(a)
What percentage of the club’s members are adults?
……………….%
(2)
The ratio of the number of right-handed members to the number of left-handed
members is 11 : 1.
(b)
How many of the 180 members are right-handed?
……………….
(2)
IV
Here are the ages in years of the members who won their matches in the cup
competition yesterday.
8
53
(c)
17
44
10
49
16
53
24
29
29
21
36
11
25
38
38
9
42
29
In the space below draw a stem and leaf diagram to show these ages.
(3)
(Total 7 marks)
28.
Farah buys
2 pens at 84p each
3 folders at £1.35 each
1 pencil case at £1.49
She pays with a £10 note.
Work out how much change Farah should get from £10.
£ ……………………………
(Total 3 marks)
IV
29.
Write these five numbers in order of size.
Start with the smallest number.
2.5
0.5
0.52
2.2
0.25
…………………………………………………………
(Total 2 marks)
30.
(a)
Work out
3
of 185.
5
……………………………
(2)
(b)
Work out 12% of £9.50.
……………………………
(2)
(Total 4 marks)
31.
A recipe for cake requires
450 grams of flour
and 175 grams of butter.
Write down the ratio of grams of flour to grams of butter.
Give your answer in its simplest form.
……………………………
(Total 2 marks)
IV
32.
Mr Johnson works out the cost of the gas he used last year.
At the start of the year, the gas meter reading was 8569 units.
At the end of the year, the gas meter reading was 9872 units.
Each unit of gas he used cost 44p.
Work out the total cost of the gas he used last year.
£ ……………………………
(Total 4 marks)
33.
A model is made of an aeroplane.
The length of the model is 18 centimetres.
The length of the real aeroplane is 45 metres.
Work out the ratio of the length of the model to the length of the real aeroplane.
Write your answer in the form 1 : n.
……………………………
(Total 3 marks)
IV
34.
Work out
46 – 2.52
Write down all the figures on your calculator display.
……………………………
(Total 2 marks)
35.
A badge costs 78p.
Sam has £5.
He buys as many badges as he can.
Work out the amount of change Sam should get from £5.
Give your answer in pence.
………………………….p
(Total 3 marks)
36.
(a)
Write down the value of the 5 in the number 54 327.
.................................
(1)
(b)
Write 0.874 correct to 1 significant figure.
.................................
(1)
(Total 2 marks)
IV
37.
Work out 23% of £64
£ .............................
(Total 2 marks)
38.
(a)
Find the value of
2.56 +
39.69
.................................
(1)
(b)
Use your calculator to work out
(2.3 + 1.8)2 × 1.07
Write down all the figures on your calculator display.
.....................................
(2)
(Total 3 marks)
39.
Ken and Susan share £20 in the ratio 1 : 3
Work out how much money each person gets.
Ken £ .....................
Susan £ ..................
(Total 2 marks)
IV
40.
A group of adults and children go to a concert.
COST OF TICKETS
Adult
Child
£5.60
£2.30
The total cost of tickets for the group was £75.00
Each adult bought 1 adult ticket and 3 child tickets.
Work out the number of adults in the group.
.................................
(Total 3 marks)
41.
The diagram shows the distances, in miles, between some service areas on the M1 motorway.
Toddington
Scratchwood
Watford Gap
Woodall
Trowell
M1
26
39
44
28
For example, the distance between Toddington and Watford Gap is 70 miles.
Complete the table.
Toddington
26
Scratchwood
70
Watford Gap
83
111
39
Woodall
28
Trowell
(Total 3 marks)
IV
42.
What fraction of the large triangle is shaded?
Give your fraction in its simplest form.
……………………….
(Total 2 marks)
IV
43.
Here are two readings from a gas meter.
0
1
9
6
2
0
January
2
1
5
9
April
The difference in the meter readings gives the number of units of gas used.
The cost of gas is 21p for each unit of gas used.
Work out the cost of gas used.
Give your answer in pounds (£).
£ …………………
(Total 4 marks)
44.
Work out the value of
6  2 × (5  1)
…………………
(Total 1 mark)
IV
45.
Menu
Hot dog
Chicken salad
Hamburger
Pizza
$5.10
$4.50
$3.80
$4.00
A British family are on holiday in San Francisco.
At a café they order 3 hot dogs and 1 chicken salad.
The exchange rate is £1 = $1.44
Work out their total bill in pounds (£).
£ ………………
(Total 4 marks)
46.
Find the value of
2.23
……………….
(Total 1 mark)
IV
47.
Christine buys
a calculator costing £5.95
a pencil case costing £1.62
a ruler costing 25p
two pens costing 48p each
She pays with a £10 note.
(a)
How much change should she get from her £10 note?
£ ........................
(3)
Christine needs 160 tiles for a room.
Tiles are sold in boxes.
There are 12 tiles in each box.
(b)
Work out the least number of boxes of tiles that Christine needs.
.................. boxes
(2)
(Total 5 marks)
48.
(a)
Write the number four thousand and sixty two in figures.
...................................................
(1)
(b)
Write down the value of the 7 in the number 76 320
...................................................
(1)
IV
(c)
Write the number 2536 to the nearest hundred.
...................................................
(1)
(Total 3 marks)
49.
A packet of biscuits costs 56p.
A bottle of cola costs £1.14
Emma buys 4 packets of biscuits and one bottle of cola.
She pays with a £10 note.
Work out how much change she should get.
£ .............................
(Total 3 marks)
50.
Work out
3
of 168
7
................................
(Total 2 marks)
51.
(a)
Write
1
as a percentage.
5
................................ %
(1)
IV
(b)
Write 0.64 as a percentage.
................................ %
(1)
(c)
Write 70% as a decimal.
................................
(1)
(Total 3 marks)
52.
(a)
Use your calculator to find the value of 134
................................
(1)
(b)
Use your calculator to work out the value of
30.9
27.1  4.79
................................
(2)
(Total 3 marks)
IV
53.
A bar of chocolate costs 92p.
Peter buys four of these bars.
He pays with a £5 note.
Work out how much change he should get.
£............................
(Total 2 marks)
54.
(a)
Write 0.37 as a fraction.
............................
(1)
(b)
Write down all the factors of 21
.....................................................................
(2)
(Total 3 marks)
IV
55.
Hugh went on holiday to Italy.
While on holiday, he went shopping.
He bought a belt and a hat.
The belt cost 25 euros.
The hat cost 14 euros.
The exchange rate was £1 = 1.56 euros.
Work out the total cost of the belt and the hat.
Give the total cost in pounds.
£ ................................
(Total 3 marks)
56.
(a)
Write down the number marked with an arrow.
………………..
(1)
(b)
Find the number 6.7 on the number line.
Mark it with an arrow ().
………………..
(1)
(Total 2 marks)
IV
57.
Alison travels by car to her meetings.
Alison’s company pays her 32p for each mile she travels.
One day Alison writes down the distance readings from her car.
Start of the day: 2430 miles
End of the day: 2658 miles
(a)
Work out how much the company pays Alison for her day’s travel.
£ …………………
(4)
IV
Tom also travels by car to his meetings.
Tom’s company works out the amount it will pay him for the distance he travels.
It uses the graph below.
120
100
Amount
in pounds
(£)
80
60
40
20
O
(b)
50
100
150
Distance in miles
200
250
300
Use the graph to write down
(i)
the amount Tom’s company pays him when he travels 200 miles,
£ ………………..
(ii)
the distance Tom travels when his company pays him £50.
……………….. miles
(2)
(Total 6 marks)
IV
58.
12. The cost of a book is £2.80
Mrs Brown has £60 to spend.
(a)
Work out the greatest number of these books that Mrs Brown can buy.
………………
(2)
Daniel is going to buy a computer game for £40.
The price of the computer game is reduced by 20%.
(b)
Work out the priceDaniel pays for the computer game.
£ …………….
(3)
(Total 5 marks)
IV