OCR GCSE Maths Paper 1: Calculator Foundation June 2024 question paper J560/01

Write down an example of each of the following.

An even number.

A multiple of 7.

A cube number between 20 and 220.

A prime number less than 10.

Here is a list of five numbers.

10 12 4 3 6

Write down the median.

A sixth number is added to the list. The range of the six numbers is 15.

Work out a possible value for the sixth number.

Measure angle x.

The angles of a triangle are 27°, 126° and 27°.

Explain how you know the triangle is isosceles.

Complete the drawing of the parallelogram.

Include notation to show that the drawing is a parallelogram.

Work out the area of the parallelogram.

Here are the first three dot patterns in a sequence.

Pattern 1
Pattern 2
Pattern 3

Draw Pattern 4 in the sequence.

Without drawing, work out how many dots are in Pattern 10 of the sequence. Explain how you worked out your answer.

A teacher writes down a number. They subtract 6 from the number and then divide by 8. Their answer is 81.

What number did the teacher write down?

A play group offers four activities to their children.

Baking (B) Drawing (D) Exercise (E) Reading (R)

Complete the list below to show all the possible combinations of two different activities. You may not need all the answer lines.

Write down the fraction of the combinations that include Reading (R).

This grid shows a vertical line going through the point P.

Write down the coordinates of point P.

Plot the point (4, - 1).

Write down the equation of the vertical line going through point P.

Here is a formula.

a = b (c + d)

Find the value of a when b = 3, c = 7 and d = 5.

Find the value of c when a = 30, b = 4 and d = 6.

A bag only contains red counters and blue counters. of the counters are red. There are 20 blue counters.

Complete the table to show the fraction of the counters that are blue and the number of red counters.

Write the ratio 14: 35 in its simplest form.

The scale of a map is 1: 25 000.

Two castles are 6 kilometres apart on the ground.

Work out how far apart the two castles are on the map. Give your answer in centimetres.

Sam eats 30% of a 600 g pack of cereal every day.

Sam has no cereal left. The cereal is no longer sold in 600 g packs. Instead, the cereal is now sold in 400 g packs.

Sam wants to continue to eat the same amount of cereal every day.

Work out the minimum number of 400 g packs of cereal that Sam must buy to have enough for 7 days. You must show your working.

Increase £95 by 16%.

50 students are asked how many books they have read this month. The table shows the results.

Work out the mean number of books read this month by the 50 students.

A machine makes 15 boxes in 12 minutes. The machine works continuously.

Work out how many boxes are made by this machine in 7 hours.

The population of an island is 47 000 people. The area of the island is 560 km².

Calculate the population density of the island in people per km².

A sports team scored 400 points. The defenders scored of the points. The midfielders and the forwards scored the remainder of the points in the ratio 1: 5.

Find the percentage of the 400 points that were scored by the forwards. You must show your working.

Triangle A is drawn on the grid below.

Enlarge triangle A with scale factor and centre of enlargement (0, 0).

Solve 7 x - 3 < 11.

Show your solution on the number line.

Work out.

₃ 19.5⁴ - 18²

Write your answer correct to 4 significant figures.

The diagram shows a triangle and a trapezium.

Show that they have the same area.

A school is deciding on a charity to support. Each student at the school votes for one of four charities, A, B, C or D. The results are to be shown in a pie chart.

This pie chart shows the sector for charity A. Twice as many students voted for charity C than charity B. Twice as many students voted for charity D than charity C.

Show that the sector for charity B will have an angle of 44°.

Complete the pie chart.

39 students voted for charity A.

Calculate the total number of students at the school.

The school asks 80 of the students to choose a new logo from three designs G, H and J. The same results are shown in a pie chart and in a bar chart.

Give one advantage of using the pie chart rather than the bar chart.

Give one disadvantage of using the pie chart rather than the bar chart.

The same dog food is sold in three different sized packs. The diagram shows the price of each pack.

Which pack is the best value for money? Show how you decide.

The........ pack because........

A garage is 5 metres long, correct to the nearest metre. A car is 4.5 metres long, correct to 1 decimal place.

Show that the car may not fit in the garage.

The diagram shows a straight line crossing two parallel lines.

Find the value of y. You must show your working.

The diagram shows a trapezium.

Calculate the value of x.

Solve the simultaneous equations. 4 x - y = 24 2 x + 3 y = 26

Write the following in order of size, smallest first.

0.2 2^-2 2 × 10^-2

Show how you decide.

smallest