1
1
Without using a calculator, work out
.
You must show all your working and give your answer as a fraction in its simplest form.
...................................................
[2]
[Total: 2]
2
Without using a calculator, work out
.
You must show all your working and give your answer as a mixed number in its simplest form.
...................................................
[3]
[Total: 3]
3
Subtract 123 from 1 million.
...................................................
[1]
[Total: 1]
2
4
Without using a calculator, work out
.
You must show all your working and give your answer as a mixed number in its simplest form.
...................................................
[3]
[Total: 3]
5
Without using a calculator, work out
.
You must show all your working and give your answer as a fraction in its simplest form.
...................................................
[2]
[Total: 2]
3
6
Giulio’s reaction times are measured in two games.
In the first game his reaction time is
In the second game his reaction time is
of a second.
a second.
Find the difference between the two reaction times.
................................................... s
[1]
[Total: 1]
7
Insert one pair of brackets to make this statement correct.
[1]
[Total: 1]
8
Jeff and his friends win a prize.
Jeff’s share is $160 which is
of the prize.
Work out the value of the prize.
$ ...................................................
[2]
[Total: 2]
4
9
Two numbers are multiplied together to give the number in the box immediately above.
Complete the diagram.
[3]
[Total: 3]
10
Of the 12 brass instruments in an orchestra,
are trumpets, 3 are trombones and the remainder are horns.
Find the number of horns.
...................................................
[2]
[Total: 2]
11
Two numbers are added together to give the number in the box immediately above.
Complete the diagram.
[2]
[Total: 2]
12
Insert one pair of brackets to make this statement correct.
[1]
5
[Total: 1]
13
Work out 48 ÷ 3 − 5 × 2.
...................................................
[1]
[Total: 1]
14
Without using a calculator, work out
.
You must show all your working and give your answer as a mixed number in its simplest form.
...................................................
[4]
[Total: 4]
15
A car park has 880 parking spaces.
(a) Some of the spaces are reserved.
The ratio of reserved spaces : not reserved spaces = 1 : 10.
Work out the number of spaces that are not reserved.
...................................................
[2]
6
(b) 25% of the 880 spaces are on the top floor.
Work out the number of spaces that are on the top floor.
...................................................
[1]
(c)
At 06 00 one morning,
of the 880 spaces are filled.
By 06 30, no cars have left the car park but another
of the 880 spaces are filled.
Work out the fraction of the 880 spaces that are empty at 06 30.
...................................................
[3]
[Total: 6]
16
Write down a fraction that completes this calculation.
[1]
[Total: 1]
7
17
Without using your calculator, work out
.
You must show all your working and give your answer as a fraction in its simplest form.
...................................................
[3]
[Total: 3]
18
Calculate.
...................................................
[1]
[Total: 1]
19
Calculate.
...................................................
[1]
[Total: 1]
8
20
Without using a calculator, work out
.
You must show all your working and give your answer as a fraction.
...................................................
[2]
[Total: 2]
21
Without using a calculator, work out
.
Write down all the steps of your working and give your answer as a fraction in its simplest form.
...................................................
[2]
[Total: 2]
22
Calculate
.
Give your answer correct to 1 decimal place.
...................................................
[2]
[Total: 2]
9
23
Nora has a packet containing 250 g of cherries.
She uses
of the cherries in a cake.
Find the mass of cherries she has left.
................................................... g
[2]
[Total: 2]
24
Bob picks a total of 4650 strawberries.
The strawberries are sold in boxes.
He fills each box with 35 strawberries.
How many boxes does Bob fill?
...................................................
[2]
[Total: 2]
25
Without using a calculator, work out
.
Show all your working and give your answer as a mixed number in its simplest form.
...................................................
[3]
10
[Total: 3]
26
Alison picks a total of 89 kg of strawberries.
The mean mass of each strawberry is 22 g.
Work out the number of strawberries Alison picked.
Give your answer correct to the nearest 10.
...................................................
[3]
[Total: 3]
27
Without using your calculator, work out
.
You must show all your working and give your answer as a fraction in its simplest form.
...................................................
[3]
[Total: 3]
11
28
Without using a calculator, work out
.
You must show all your working and give your answer as a fraction in its simplest form.
...................................................
[3]
[Total: 3]
29
Without using your calculator, work out the following.
You must show all your working and give each answer as a fraction in its simplest form.
(a)
...................................................
[2]
...................................................
[3]
(b)
12
[Total: 5]
30
Georgiana is travelling by train from Redtown to Teignley.
The price of a ticket is $13.50 .
Georgiana’s ticket price is reduced by one-third because she is a student.
Work out how much she pays for her ticket.
$...................................................
[2]
[Total: 2]
31
For each statement, insert one pair of brackets to make it correct.
(a)
17 − 3 × 5 − 3 = 11
[1]
2
(b) 3 + 2 − 4 = 21
[1]
[Total: 2]
32
437 people go on a coach trip.
Each coach seats 62 people.
How many coaches are needed?
...................................................
[2]
[Total: 2]
33
Work out the value of
.
...................................................
[2]
[Total: 2]
13
34
A car company has three sales people, Anna, Mustapha and Joshua.
(a) During March, Anna sold 21 cars, Mustapha sold 12 cars and Joshua sold 15 cars.
Write down and simplify the ratio of the number of cars they sold during March.
Anna : Mustapha : Joshua = .......... : .......... : .......... [2]
(b) Each month, they receive a bonus which is proportional to the number of cars they sell.
The total bonus in March is $1248.
(i)
Show that Anna receives a bonus of $546.
[1]
(ii) Calculate the bonuses received by Mustapha and Joshua.
Mustapha $...................................................
Joshua $...................................................
(c) The total bonus of $1248 is
[2]
of the total profit in March.
Calculate the total profit in March.
$...................................................
[2]
[Total: 7]
14
35
Insert one pair of brackets in each of the following to make the statements correct.
(a)
(b)
5 + 3 × 10 − 1 = 32
[1]
3 × 2 − 4 − 7 = 9
[1]
[Total: 2]
36
Dev makes 600 cakes.
18% of the 600 cakes go to a hotel and
of the 600 cakes go to a supermarket.
Calculate how many cakes he has left.
...................................................
[3]
[Total: 3]
37
Without using your calculator, work out
.
You must show all your working and give your answer as a mixed number in its simplest form.
...................................................
[3]
[Total: 3]
15
38
Without using a calculator, work out
.
Show all your working and give your answer as a mixed number in its lowest terms.
...................................................
[3]
[Total: 3]
39
Sonia earns $8.12 for each hour she works.
She works for 35 hours each week.
Work out how much she earns each week.
$...................................................
[1]
[Total: 1]
40
Without using a calculator, work out
.
Show all your working and give your answer as a fraction in its lowest terms.
...................................................
[3]
[Total: 3]