Question 1
Which type of angle is the largest? Circle your answer.
right reflex obtuse acute
[1 mark]
Which type of angle is the largest? Circle your answer.
right reflex obtuse acute
[1 mark]
Solve 4 x = 8 Circle your answer.
x = 0.5 x = 2 x = 4 x = 32
[1 mark]
Work out 10 + (–4) Circle your answer.
–14 –6 6 14
[1 mark]
Circle the calculation which works out half of 12
[1 mark]
Work out 364.5 + 17.9 – 2.08
[2 marks]
Five points are plotted on a centimetre grid.
The points are five of the vertices of a hexagon. Each side of the hexagon has the same length. Work out one possible pair of coordinates of the other vertex.
[2 marks]
Amy and Brad each have some money. Carly has no money. Amy gives £7 to Carly. Brad gives £5 to Carly. Now they all have the same amount of money. How much money did Amy have to begin with?
[2 marks]
A game is played 50 times. The vertical line chart shows the winning scores.
The game is played again.
Use the chart to estimate the probability that the winning score is 25
[1 mark]
Use the chart to estimate the probability that the winning score is 27 or more.
[2 marks]
Write down all the factors of 18
[2 marks]
Work out the lowest common multiple (LCM) of 12 and 15
[2 marks]
Coaches take people to a festival. Each coach can take 50 people.
From one city there are 820 people. How many coaches are needed?
[3 marks]
From a different city 13 coaches are needed. Each coach costs £450 to hire. Work out the total cost of hiring 13 coaches.
[3 marks]
Here is a triangle on a square dotty grid.
On the grid below, show how you can make a parallelogram with two of these triangles.
[1 mark]
On the grid below, show how you can make a trapezium with three of these triangles.
[1 mark]
On the grid below, show how you can make a rhombus with four of these triangles.
[1 mark]
In a game the average score was 50 Tom’s score was of the average. Circle Tom’s score.
125 175 30 20
[1 mark]
Here is a cuboid.
Work out the volume.
[2 marks]
Circle the shape that has a uniform cross section.
cone sphere cylinder pyramid
[1 mark]
Here is a map showing points A and B.
Kemal wants to measure the bearing of A from B. He draws two lines and measures the angle between them.
Kemal says that the bearing of A from B is 100° Is his method correct? Give a reason for your answer.
[1 mark]
On a different map, the bearing of D from C is 045° Nina says, “ D is North West of C.” Is Nina correct? Give a reason for your answer.
[1 mark]
This map shows an airport, E, on an island.
A plane flies due South from the airport. How far does it fly until it reaches the sea?
[3 marks]
Here is some data about the people listening to a radio station one day.
| Percentage Mean number of hours listening hours listening number of Range of | |
| Aged 40 or under | 21 1.2 4.5 |
| Aged 41 or over | 79 6.3 13.9 |
Compare the data for people aged 40 or under with the data for people aged 41 or over. Make three comparisons.
[3 marks]
You are given that 4 a – 2 b = 10
Write down the value of 2 a – b
[1 mark]
Write down the value of 2 b – 4 a
[1 mark]
You are given that 4 a – 2 b = 10 and a + c = 3 Write an expression in a, b and c that is equal to 23 Give your answer in its simplest form. You must show your working.
[2 marks]
Give your answer as an ordinary number.
[2 marks]
Anna plays a game with an ordinary, fair dice. If she rolls 1 she wins. If she rolls 2 or 3 she loses. If she rolls 4, 5 or 6 she rolls again. When she has to roll again, if she rolls an odd number she wins if she rolls an even number she loses.
Complete the tree diagram with the four missing probabilities.
[2 marks]
Is Anna more likely to win or to lose? You must work out the probability that she wins.
[4 marks]
Three friends arrive at a party. Their arrival increases the number of people at the party by 20% In total, how many people are now at the party?
[2 marks]
a + b = 0 Which of these is equal to b ? Circle your answer.
[1 mark]
c × d = 1 Which of these is equal to d ? Circle your answer.
[1 mark]
A shaded semicircle is inside a circle as shown.
The radius of the circle is 10 cm The diameter of the semicircle is 8 cm How many times bigger is the unshaded area than the shaded area?
[4 marks]
t is the time in minutes the machine takes to make one item. The value of t changes for different types of item.
On the grid below, draw the graph of n = for values of t from 1 to 4
[2 marks]
The machine takes 3 minutes 30 seconds to make one item. Use your graph to estimate the value of n.
[2 marks]
Rearrange x = 2 y – 6 to make y the subject.
[2 marks]
Multiply out and simplify (x + 5)(x – 1)
[2 marks]
The paper as printed
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