(a) Work out the following.
20 × 40
[1]
57 ÷ 3
[1]
[2]
30% of 70
[2]
1·03 + 12·8
[1]
Write 8% as a decimal.
[1]
In the box, write the smallest possible whole number to make the statement correct.
[1]
Most numbers have an even number of factors.
For example, 10 has four factors: 1, 2, 5 and 10. 11 has two factors: 1 and 11.
There is one number between 13 and 19 that has an odd number of factors. Find this number.
Write down all the factors of this number.
The factors of this number are........
[2]
Write down the first three even multiples of 7.
[1]
Linda says,
How many pupils could there be in her class?
Write all the possible answers.
[2]
What percentage of the following shape is shaded?
[2]
A teacher asked a group of students to choose their favourite sandwich filling.
The five options were: cheese, chicken, ham, salad or tuna. Each student chose one option. The table and the pictogram each show some of the results for the five fillings.
Complete the key, the table and the pictogram.
[3]
What is the modal choice of sandwich filling?
[1]
Lucy writes down the first five square numbers. Lucy chooses two square numbers that have a difference of 12.
Which square numbers did Lucy choose?
The two square numbers are........ and........
[2]
[1]
[1]
(a) Twenty-five players in a rugby team voted for their player of the season.
The three nominations for player of the season were Ashton, Jamal and Oliver.
The frequency table shows the tally of the votes from 10 of the players.
The remaining 15 votes are shown below.
Ashton Oliver Jamal Oliver Oliver Jamal Oliver Jamal Jamal Oliver Ashton Jamal Oliver Oliver Jamal
Which player won the vote for player of the season?
You must show all your working.
[2]
What percentage of the 25 students voted for Oliver?
[2]
Some of the players in Lindsey’s team have missed games because of injury. She writes a question to find out how many games they have missed. Here is the question:
State one criticism of her question.
[1]
Robin has a scale drawing of his local park. The scale on the drawing is 1 cm represents 250 cm. On the drawing a flowerbed is 6 cm long.
What is the actual length of the flowerbed?
Write your answer in metres.
[3]
Robin has 240 daffodils and 60 tulips.
What fraction of these flowers are daffodils?
Give your answer in its simplest form.
[2]
Some rose bushes are divided equally between 2 gardeners.
Write this division as a ratio.
[1]
A shop sells the same brand of lemonade in two different-sized bottles.
1000 ml for £2.50
300 ml for 81p
Which bottle is the better value for money?
The 1000 ml bottle The 300 ml bottle
You must show all your working.
[3]
Solve 6x = 42.
[1]
Calculate the value of 4y when y = −12.
[1]
Simplify 5w + 3(6w − 2).
[2]
A shirt has t buttons.
Write down, in terms of t, the number of buttons on 8 shirts.
[1]
Here is a number machine.
The input is 10.
What is the output?
[1]
The output is 55.
What is the input?
[1]
Adele and Lewis are shopping in a bakery.
Adele buys a bag of 5 rolls.
How much money does she save compared to buying 5 rolls separately?
[3]
Croissants cost 90p each and cinnamon whirls cost £1.25 each. Lewis buys 4 croissants and some cinnamon whirls. Lewis has £10.
What is the greatest number of cinnamon whirls that Lewis can buy?
You must show all your working.
[3]
A wind turbine generates 390 units of electricity per hour.
How many units of electricity will this turbine generate if it continues at this rate for 2 hours and
20 minutes?
[3]
Ben needs 90 bottles of water for an athletics event. The bottles of water are sold in packs of 8.
He makes this calculation to find out the number of packs he needs:
90 ÷ 8 = 11·25
He decides to buy 11 packs of water.
Is Ben’s decision correct?
You must give a reason for your answer.
Yes No
[1]
Ben divides the 90 bottles in the ratio 4:1.
He says,
“To work out the larger share, we should divide 90 by 4”.
Explain what is wrong with Ben’s method.
[1]
The table shows some of the values of y = 1 − 2x for −2 
x 2.
| x | −2 | −1 | 0 | 1 | 2 |
| y = 1 − 2x | 5 | 1 |
Complete the table.
[2]
On the grid, draw the line y = 1 − 2x for −2 
x 
2.
[2]
A bag contains 100 identically-sized coloured balls.
A ball is selected at random. The table shows the probability of choosing a blue ball, a red ball or a green ball.
| Colour | Blue | Red | Green |
| Probability | 0·42 | 0·3 | 0·18 |
Show that the bag must contain 10 balls that are not blue, red or green.
[2]
Gary owns a garage selling second-hand cars. On Saturday, he had 72 petrol cars and 48 diesel cars for sale.
Write the number of petrol cars to the number of diesel cars as a ratio in its simplest
form.
[2]
What percentage of cars are diesel?
[3]
Calculate 12% of £750.
[2]
Find the fraction that is added.
[3]
Sarah has a water container in the shape of a cuboid.
The area of the base of the container is 150 cm2.
Water is leaking from the container at a constant rate.
At 10:00 the water is 20 cm high. At 10:15 the water is 17 cm high.
How much water is in the container at 11:00?
Give your answer in litres.
There are........ litres of water in the container at 11:00.
[5]
120 people each completed a puzzle. The times taken to complete the puzzle are shown in the diagram below. The diagram uses groups of width 5 minutes: 0 
time 
5, 5 time 10, and so on.
A person is chosen at random.
What is the probability that this person took less than 15 minutes to complete the puzzle?
[2]
The diagram below shows three straight lines, AB, CD and GH.
Show that AB and CD are parallel.
You must give reasons to justify your answer.
[2]
David and Asif are studying the size of leaves.
Before measuring the leaves, they agreed on the following conditions: • The length of the leaf does not include the stem. • The width of the leaf is measured at the widest part of the leaf.
Why do they need to agree on these conditions to measure the leaves?
[1]
David and Asif have each drawn a scatter diagram to show their results.
One of the boys collected all of his leaves from one tree.
Who was this most likely to be?
Give a reason for your answer.
David Asif
[1]
Draw a line of best fit on Asif’s scatter diagram.
[1]
Asif forgot to include the measurements of one of the leaves on his scatter diagram. The length of this leaf is 7 cm.
Write down an estimate of the width of this leaf.
[1]
Ivy mixes lemon juice, pineapple juice and orange juice in the ratio 1: 2: 7 to make a fruit drink.
Ivy has 330 ml of her fruit drink in a glass.
How much pineapple juice is in Ivy’s glass?
[2]
The shape below consists of a square surrounded by four semi-circles.
The diameter of each semi-circle is 12 cm.
Work out the area of the shape.
Give your answer in the form a + bπ.
[4]
[3]
Write 60 as a product of its prime factors in index form.
[3]
[5]
[1]
Factorise 3xy2 + 6x2y
[3]
Hans thinks of a number.
When his number is multiplied by 2·4 × 105, the answer is 9·6 × 108.
What number did Hans think of?
Write your answer in standard form.
[2]
Kate is visiting London.
The probability that she will go on a train is 0·4. The probability of Kate going to the theatre is independent of her going on a train.
The probability that she goes on a train and goes to the theatre is 0·28.
Complete the following tree diagram.
[4]
[2]
Show that the lines
3 y − 12 x = 9 and 2 y = 8 x − 13
are parallel to each other.
[3]
It takes 2 hours to empty 8 identical tanks of water using 9 identical pumps.
How long would it take to empty 2 of these tanks using 3 of these pumps?
[3]
The paper as printed
Spotted a mistake on this page?Report a problem