Question 1
Solve 4 + x = 12 Circle your answer.
x = – 16 x = – 8 x = 8 x = 16
[1 mark]
Solve 4 + x = 12 Circle your answer.
x = – 16 x = – 8 x = 8 x = 16
[1 mark]
Circle the largest number.
4.5061 4.5 4.516 4.56
[1 mark]
Circle the expression that means half the value of x
[1 mark]
Circle the value of 106
one hundred one thousand one million one billion
[1 mark]
Complete the bank statement.
| Date | Description | Credit (£) | Debit (£) | Balance (£) |
| 01/05/2020 | Starting balance | 670.43 | ||
| 08/05/2020 | Salary | 2156.75 | ||
| 11/05/2020 | Water bill | 48.97 | ||
| 18/05/2020 | Mortgage payment | 1642.49 |
[3 marks]
Put the numbers 1, 2, 3, 4 and 6 into the circles so that each line of three numbers multiplies to 12 the total of the vertical line is one more than the total of the horizontal line. Use each number once.
[2 marks]
Point A is 217 metres above sea level. Point B is 145 metres lower than point A. Point C is 59 metres below sea level. How much higher is point B than point C?
[3 marks]
Here are four number cards.
Use each card once to make this calculation correct.
[1 mark]
Two of the cards are chosen at random.
List all the possible pairs of cards. Two have been done for you.
[2 marks]
| First card | Second card |
| 2 5 | 5 2 |
Write down the probability that the first card is an even number.
[1 mark]
School A has 72 tutor groups. Each group has 28 students. School B has 16 tutor groups. Each group has 18 students.
[2 marks]
Boxes of chocolates each contain 25 chocolates. One box costs £3.25 A shop has a special offer.
How much cheaper per chocolate is the special offer?
[3 marks]
In a game, the player going first uses crosses and the player going second uses circles. To win the game, a player must get three crosses or three circles together in a line. The line must be horizontal, vertical or diagonal.
It is Amy’s turn to put a cross on the grid. She wins if she puts a cross in B3 Write down all the other squares where she could put a cross to win the game.
[2 marks]
Amy goes first in the next game.
Assume that she will choose a square at random. Write down the probability that she will put her first cross in square F6
[1 mark]
In fact, Amy decides to put her first cross into a corner square. What does this mean about the probability that she will put her first cross in square F6?
Give a reason for your answer.
[1 mark]
A dolphin and a whale are drawn to scale.
The actual length of the dolphin is 3 metres. Estimate the actual length of the whale. You must show your working.
[2 marks]
Work out the area of this triangle.
[2 marks]
A circle has a radius of 11.5 cm
Work out the area of the circle.
[2 marks]
A machine takes 4 seconds to fill a packet of crisps.
In total, how many packets can 35 of these machines fill in 8 hours?
[4 marks]
Each packet of crisps contains 32.5 grams of crisps. At what rate does a machine put the crisps into the packets? Give your answer in grams per second.
[2 marks]
Complete the table of values for y = x2 – 2
| x | –3 | –2 | –1 | 0 | 1 | 2 | 3 |
| y | 2 | –1 | –2 | –1 |
[1 mark]
Draw the graph of y = x2 – 2 for values of x from –3 to 3
[2 marks]
Towns A and B are shown on a centimetre grid.
What does the shaded area represent? Tick one box.
[1 mark]
Complete an accurate drawing of triangle PQR so that angle QPR is 53 ° the length of side PR is 7.5 cm
[2 marks]
Multiply out 5 x (3 x – 2)
[2 marks]
The scatter diagram shows the age and value of some cars in 2019 All the cars were of the same make and model.
What type of correlation does the scatter graph show?
[1 mark]
Write down the value of the car that was an outlier.
[1 mark]
Use the graph to estimate the value of a new car of this make and model in 2019
[1 mark]
A car of this make and model had a value of £5600 in 2019 Use the graph to estimate the year in which it was made.
[2 marks]
Here are a triangle and a rectangle.
a and b are positive numbers. Which shape has the larger perimeter? You must work out expressions for both perimeters.
Tick a box.
[3 marks]
The n th term of a sequence is 19 – 4 n What is the smallest value of n that gives a negative term?
[2 marks]
What is the name of the longest possible chord in a circle? Circle your answer.
tangent circumference radius diameter
[1 mark]
The number of people living in a town is 47 000 to the nearest 1000 Which one of these is a possible number of people living in the town? Circle your answer.
46 000 46 500 47 500 48 000
[1 mark]
Jeff and Kaz share £270 in the ratio Jeff: Kaz = 2.6: 1 How much more than Kaz does Jeff get?
[3 marks]
Here are two rectangles.
Show that the rectangles are similar.
[1 mark]
The equation of a straight line is 2 y = 6 x + 8 Circle the gradient of the line.
6 8 3 4
[1 mark]
At a country park there is a house, a museum and a garden. The table shows the prices per person to visit the park.
| Price per person | |
| Garden only | Free |
| House and museum | £12.50 |
| House only | £8 |
| Museum only | £7 |
One day, 480 people visit the park. 67 visit the garden only. 40% visit the house and the museum. visit the house only. The rest visit the museum only. In total, how much do the 480 people pay to visit the park? You may use the Venn diagram to help you.
[5 marks]
The heel of a shoe exerts a pressure of 198 pounds per square inch. Convert this pressure into kilograms per square centimetre. Use 1 pound = 0.45 kilograms 1 square inch = 6.25 square centimetres
[3 marks]
Six positive numbers have a mean of 10 a range of 19 Four of the numbers are 12 7 15 3 Work out the other two numbers.
[3 marks]
A solid shape is drawn on isometric paper.
On the centimetre grid, draw the elevation of the shape from A.
[1 mark]
On the centimetre grid, draw a plan of the shape.
[1 mark]
Erik thinks of a prime number between 20 and 30 His number is x % of 125 Work out one possible value of x.
[3 marks]
Part of a regular polygon with 15 sides is shown.
Work out the size of an interior angle.
[2 marks]
The paper as printed
Spotted a mistake on this page?Report a problem