Question 1
Circle the ratio that is the same as 3: 4
6: 7 6: 8 6: 9 6: 16
[1 mark]
Circle the ratio that is the same as 3: 4
6: 7 6: 8 6: 9 6: 16
[1 mark]
Circle the size of angle x.
70 ° 110 ° 250 ° 270 °
[1 mark]
Circle the expression that has the smallest value when x = 4
[1 mark]
The term-to-term rule for a sequence is
The first two terms are 2 and 6 Circle the next term.
9 13 14 18
[1 mark]
Eleven people play a game. Here are their scores. 12 9 15 9 18 18 3 14 9 16 20
Line AB is shown where A is the point (1, 0) and B is the point (5, 8)
P is a point on AB. The distance AP is half the distance AB. Work out the coordinates of P.
[1 mark]
A line is drawn from B that is parallel to the x-axis meets the y-axis at point Q. Work out the coordinates of Q.
[1 mark]
Write down an even whole number that is also a square number.
[1 mark]
Write down all the cube numbers between 100 and 400
[2 marks]
Write down two numbers that are multiples of 3 and multiply to make 216
[1 mark]
Members of a club are Senior, Adult or Junior.
Give a reason why there must be a mistake in the report.
[1 mark]
An Adult membership fee is £120 A Junior membership fee is of the Adult fee. Work out the total membership fee for 2 Adults and 3 Juniors.
[3 marks]
Here is a number machine.
Work out the output when the input is 16
[1 mark]
Here is a different number machine.
Work out the output when the input is – 48
[1 mark]
Complete this number machine.
[1 mark]
Here are two calculations.
Which calculation has the smaller answer? You must show the answer to each calculation.
[2 marks]
Match each expression on the left with one on the right. One has been done for you.
[4 marks]
Jenny works for 30 hours and is paid £318 Calvin works for 28 hours and is paid £287 Jenny is paid more per hour than Calvin. How much more?
[3 marks]
This circle has centre C. W, X and Y are points on the circle. WY is a straight line.
Tick one box for each statement.
[3 marks]
Mortar is made by mixing cement and sand as shown. For every 1 kg of cement used, add 4 kg of sand Cement costs £0.19 per kg Sand costs £0.07 per kg Tomasz uses 150 kg of cement to make some mortar. Work out the total cost of the mortar.
[3 marks]
Here is a shape made from rectangles.
Work out the area.
[3 marks]
Zak wants to work out the area of this triangle.
Here is his working.
What is wrong with his method?
[1 mark]
Here are shapes P, Q and R.
P is mapped to Q by a single transformation. Circle the type of transformation.
rotation reflection translation enlargement
[1 mark]
P is mapped to R by a single transformation. Circle the type of transformation.
rotation reflection translation enlargement
[1 mark]
Kim buys pet food in 1.5 kg packs. Her pet needs 0.8 kg of food each week. She wants to have enough food for the next 14 weeks. She already has two 1.5 kg packs. Work out the smallest number of packs she needs to buy. You must show your working.
[4 marks]
A scale drawing shows the positions of P, Q and R.
On the scale drawing PQ = 4 cm QR = 6.5 cm The actual distance PQ is 50 metres less than the actual distance QR. Work out the scale.
[3 marks]
a and b are whole numbers.
Work out the largest possible value of 2 a + b
[2 marks]
x and y are both negative numbers. Show that could equal 4
[1 mark]
Jill puts 440 sweets into small bags, medium bags and large bags.
twice as many medium bags as large bags. There are no sweets left over. For the number of bags, work out the ratio small: medium: large
[4 marks]
Here is the graph of y = x2 – 7x + 10 for values of x from 0 to 7
Write down the roots of x 2 – 7 x + 10 = 0
[2 marks]
Write down the x-coordinate of the turning point of the curve.
[1 mark]
The time students spent watching TV was recorded. The table shows the average daily time per student each year from 2012 to 2019
| Year | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 |
| Time (minutes) | 157 | 148 | 138 | 124 | 113 | 100 | 90 | 82 |
A time series graph is drawn to represent the data. The first four points have been plotted.
Use the graph to estimate the average daily time per student in 2020
[1 mark]
Work out the highest common factor (HCF) of 75 and 105
[2 marks]
Here is a cuboid.
Assume that the total surface area of the cuboid is 200 cm 2 Work out the volume of the cuboid.
[3 marks]
In fact, the total surface area of the cuboid is smaller than 200 cm2 What does this mean about the volume of the cuboid? Tick one box.
[1 mark]
Here is some information about the time spent on social media by 50 people.
| Time, t minutes | Number of people |
| 0 | 2 |
| 15 | 9 |
| 30 | 31 |
| 45 | 8 |
Circle the number of people who spent more than 30 minutes.
9 11 31 39
[1 mark]
At a party there are 90 people. 48 are women and 42 are men. Some women leave. Some men arrive. The ratio of women to men is now 10: 11 Are there now more than 90 people at the party? Tick one box.
Show working to support your answer.
[2 marks]
Alex and Bev sat six tests, each with 50 marks. The table shows their mean percentages after five tests.
| Alex | 60% |
| Bev | 52% |
After all six tests, their mean percentages were equal. In the sixth test, Alex scored 24 out of 50 Work out Bev’s score, out of 50, in the sixth test.
[4 marks]
A solid piece of silver has mass 2.625 kilograms volume 250 cm 3 Work out the density of the piece of silver. Give your answer in grams per cubic centimetre.
g/cm 3
[2 marks]
Work out the gradient of the straight line through (– 2, 3) and (1, 9)
[2 marks]
The paper as printed
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