The bar chart shows the number of points scored by some quiz players.
How many points were scored by Ellis?
[1]
How many more points were scored by Alex than Dan?
[1]
Clara scored 13 points.
Complete the bar chart to show this information.
[1]
Write down each of the following.
An even number between 11 and 17.
[1]
A square number between 15 and 35.
[1]
The cube root of 64.
[1]
3 is a factor of 51.
Find a factor of 51 between 10 and 20.
[1]
Amit has 10 toy cars in a box. 4 are red, 3 are blue, 2 are white and 1 is black. Amit takes a toy car at random.
Point A is shown on this grid.
Write down the coordinates of point A.
[1]
Plot point B on the grid at (3, – 3).
[1]
The diagram shows a parallelogram.
The parallelogram has rotation symmetry of order 2.
Mark the centre of rotation with a cross (X).
[1]
On the grid below, draw a four-sided shape that has rotation symmetry of order 4.
[1]
Use one of these symbols <, = or > to make each statement true.
Morgan makes 15 cakes. Each cake needs a piece of ribbon 18 cm long for decoration.
Ribbon is only sold in rolls of 1.2 metres, which can then be cut into 18 cm pieces. One roll of ribbon costs 92p.
Calculate the cost of the ribbon that Morgan must buy to decorate the 15 cakes. You must show your working.
[4]
Blake changes £450 into dollars. £1 is worth 1.34 dollars.
Blake says
450 ÷ 1.34 = 335.82 Therefore, £450 is worth 335.82 dollars.
Is Blake correct or incorrect? Give a reason for your decision.
Blake is........ because........
[1]
Simplify.
One morning Harper records the first 50 vehicles to pass the school gate. Harper’s results are shown in this table.
| Type of vehicle | Number |
| Car | 31 |
| Lorry | 3 |
| Motorbike | 7 |
| Van | 9 |
Use Harper’s results to estimate the probability that the next vehicle will not be a motorbike.
[2]
One afternoon Reece records some vehicles that pass the school gate. 
of the vehicles they record are cars. For Reece’s results, write down the ratio of cars to not cars. Give your answer in its simplest form.
[1]
Write a number in each box to make each statement true.
Here are the first four terms of a sequence.
7 15 23 31
Write down the next term of the sequence.
[1]
Explain how you worked out your answer.
[1]
Explain why 80 is not a term in this sequence.
[1]
At the end of each day, a driver works out the mean distance they have driven so far that week.
At the end of 5 days, the mean distance they have driven is 185.5 miles per day. At the end of 6 days, the mean distance they have driven is 190 miles per day.
Work out how many miles the driver drove on the sixth day of that week.
[4]
Box A contains 56 books. Box B contains 75 books.
Ling has read 
of the books in box A. Ling has also read the same number of books in box B.
Work out the fraction of the books in box B that Ling has read. Give your answer as a fraction in its lowest form.
[3]
A researcher asked 53 customers leaving a fish and chip shop what they had bought. The Venn diagram shows some of the results.
How many customers bought chips but not fish?
[1]
Complete the Venn diagram to show the number of customers who did not buy fish or chips.
[2]
One of the 53 customers is chosen at random.
Write down the probability that this customer bought fish.
[2]
Rearrange this formula to make d the subject.
f = 5 d + 4
[2]
Use the formula
v = u + at
to find the final velocity, when
• the initial velocity is 5 m/s
• the acceleration is 7.5 m/s2
• the time is 6 seconds.
[2]
The density of gold is 19.3 g/cm3. Sam has a gold nugget of volume 7.5 cm3.
Calculate the mass of the gold nugget.
[2]
In 2019, comet A and comet B were both seen from Earth. Comet A is seen from Earth every 84 years. Comet B is seen from Earth every 105 years.
Find the next year when both comets will be seen from Earth.
[4]
Eve is counting the photos on her phone. The ratio of the number of photos of her family to photos of her friends is 3: 7. She has 450 photos of her family. 80% of the photos of her friends include Jack.
Work out how many of the photos of her friends include Jack.
[4]
Rowan invests £4000 at a rate of 3.5% per year compound interest.
Calculate the value of Rowan’s investment after 5 years. Give your answer correct to the nearest penny.
[3]
The table below shows the approximate population of three countries in 2020.
| Country | Population |
| China | 1.44 × 109 |
| Kiribati | 1.19 × 105 |
| Tuvalu | 1.18 × 104 |
Calculate the approximate total population of Kiribati and Tuvalu in 2020. Give your answer in standard form, correct to 3 significant figures.
[4]
Show that in 2020 the population of China was approximately 120 000 times the population
of Tuvalu.
[2]
A theatre has an adult price and a child price for their shows.
A group of 4 adults and 5 children paid a total of £136. A group of 3 adults and 2 children paid a total of £81.
Work out the price for one adult and the price for one child. You must show your working.
Price for one adult £........
Price for one child £........
[5]
An examination has three papers. Paper 1 is marked out of 60. Paper 2 is marked out of 40. Paper 3 is marked out of 100. The three marks are added together to form the total mark out of 200.
A student scored 65% on Paper 1 and 70% on Paper 2.
Find the mark they need to get on Paper 3 to achieve 64% of the total marks. You must show your working.
[5]
B is 12 km due east of A. C is south-east of A and on a bearing of 225° from B.
Complete the diagram to show the positions of A, B and C. Show clearly the values of all three angles in triangle ABC.
Scale: 1 cm represents 2 km
[4]
The diagram shows an isosceles triangle, ABC.
AB = AC = 19 cm. Angle BAC = 54°.
Calculate the length of BC. You must show your working.
[5]
Construct the perpendicular from the point P to the line AB.
[2]
The diagram shows a field LMN.
A tree is to be planted in the field so that it is
• the same distance from the fences MN and ML
and
• the same distance from corner M as from corner N.
Show, by construction, whether this can be done or cannot be done.
[5]
A bag contains 35 balls. Each ball is either red or green. The ratio of red balls to green balls is 3: 2.
Work out the smallest number of balls of each colour that have to be added to the bag so that the ratio of red balls to green balls becomes 7: 3. You must show your working.
[5]
The paper as printed
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