Question 1
Circle the factor of 32
16 12 3 64
[1 mark]
Circle the factor of 32
16 12 3 64
[1 mark]
y is 3 more than x. Circle the correct equation.
[1 mark]
Circle the value of 0.15 as a fraction.
[1 mark]
Here is a parallelogram.
Circle the expression for the perimeter.
2 s + 2 w s + w sw 2 sw
[1 mark]
Work out the value of a2 – 4a when a = 10
[2 marks]
6 16 people were asked to name their favourite fruit juice. Here are the results.
| Favourite juice | Frequency |
| Apple | 6 |
| Grapefruit | 1 |
| Orange | 4 |
| Mango | 5 |
One of the people was picked at random. Work out the probability that their favourite juice was orange or mango.
[1 mark]
On the grid, draw a bar chart to represent the results.
[3 marks]
7 6 cakes cost £10.74 Work out the cost of 11 of these cakes.
[2 marks]
Here is a cuboid.
Work out the volume.
[1 mark]
Work out two numbers that are multiples of 9 and have a difference of 54
[2 marks]
Convert 11.2 kilometres into miles. Use 8 km = 5 miles
[2 marks]
Annie spends these amounts in four shops using £20 notes, £10 notes and £5 notes.
| Shop A | £65 |
| Shop B | £40 |
| Shop C | £115 |
| Shop D | £75 |
In each shop she pays the exact amount uses the smallest possible number of notes. Work out the total number of each note she uses.
[3 marks]
A sports team played 40 games. Half were home games and half were away games. Each game was a win, a draw or a loss. Of the home games, were losses. Of the away games,
were wins.
Complete the frequency tree.
[4 marks]
The team gets 6 points for a win 3 points for a draw 0 points for a loss. Work out the total number of points that the team got.
[2 marks]
Factorise fully 50 x + 100
[2 marks]
Some buttons are red or blue in the ratio red: blue = 3: 5 What fraction of the buttons are red? Circle your answer.
[1 mark]
Which of these is a correct statement about a cube?
Tick one box.
[1 mark]
AB is parallel to CD. FG is a straight line.
Work out the size of angle x.
[3 marks]
Harry and his sister Jess have some money in the ratio Harry: Jess = 1: 4 Harry has £7.35 They pay £16.99 for a present for a friend. Harry uses of his money. Jess pays the rest. How much money does Jess have left?
[4 marks]
Work out which of these fractions is closer in value to 0.5
You must show your working.
[2 marks]
Point B is 400 metres north east of point A. Mark point B on the centimetre grid. Use a scale of 1 centimetre represents 100 metres.
[2 marks]
Points C and D are shown on a different centimetre grid.
Work out the bearing of D from C.
[1 mark]
Work out the actual distance, in metres, of D from C. Use the scale 1: 1000
[1 mark]
Lynn works as a bus driver. She is paid £10.80 per hour for the first 38 hours she works each week. She is paid 25% more per hour for each extra hour she works. One week, Lynn was paid £491.40 In total, how many hours did she work that week? You must show your working.
[5 marks]
The square root of x is 4 Circle the value of x2
256 2 16 8
[1 mark]
Here is a rule for a sequence. After the first two terms, each term is the sum of the previous two terms. The first five terms are p 23 q 57 r Work out the values of p, q and r.
[2 marks]
Here is triangle ABC.
Assume that angle ACB = 90 ° Work out the length AB.
[3 marks]
The actual length AB is greater than the answer to part (a). What does this mean about angle ACB ? Tick one box.
[1 mark]
Rearrange g = 3 h – 1 to make h the subject.
[2 marks]
Describe fully the single transformation that maps triangle ABC to triangle ADE.
[3 marks]
A ball contains 5000 cm3 of air. More air is pumped into the ball at a rate of 160 cm3 per second. The ball is full of air when it becomes a sphere with radius 15 cm
Does it take less than 1 minute to fill the ball? You must show your working.
[4 marks]
p is a positive number. n is a negative number. For each statement, tick the correct box.
[4 marks]
250 trains arrived at a station. The number of trains that were late was recorded after every 50 trains. The table shows some information about the results.
| Total number of trains 50 100 | 150 | 200 | 250 |
| Total number of late trains 16 21 | 36 | 38 | 55 |
| Relative frequency of late trains 0.32 0.21 |
Complete the relative frequency graph.
[3 marks]
Write down the best estimate of the probability that a train arriving at the station is late.
[1 mark]
A, B and C are three points on a circle. The radii from A, B and C are shown.
Is AC a diameter of the circle? You must show your working.
[3 marks]
A straight line has gradient 6 and passes through the point (3, 19) Work out the equation of the line. Give your answer in the form y = mx + c
[3 marks]
The paper as printed
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