OCR GCSE Maths Paper 1: Calculator Foundation June 2019 question paper J560/01

Write down the mathematical name of this polygon.

Write down the order of rotation symmetry of the polygon.

Write down each of the following.

An odd number.

A factor of 25.

A prime number between 20 and 30.

Show that 55 is not a square number.

Complete this table of fractions, decimals and percentages.

Here are the first four terms of a sequence.

3 8 13 18

Write down the next term of the sequence.

Explain how you worked out your answer.

Explain why 534 is not a term in this sequence.

Lev (L), Maria (M) and Nicholas (N) sit in a row of three seats.

Use the table to list all the different orders in which they could sit. One possible order is already shown in the table. You may not need to use all the rows in the table.

All possible orders in which they could sit are equally likely.

What is the probability that Lev (L) sits next to Maria (M)?

Multiply out.

4 (3 x + 2)

Factorise.

3 c - 6 d

A survey asked whether some students went swimming (S) or played tennis (T) last month.

• 17 played tennis.

• 11 did not go swimming and did not play tennis.

• 22 went swimming.

• 8 went swimming and played tennis.

Some of this information is shown on the Venn diagram below.

How many students were in the survey?

Kim is paid £9.40 per hour for the first 35 hours she works each week. After 35 hours she is paid at one and a quarter times the hourly rate.

One week Kim works 42 hours.

Calculate how much she is paid for that week.

Mr and Mrs Wilde have five children who are all different ages.

• The mean age is 6.4.

• The range is 9.

• The median is 6.

• The oldest child is 12.

Work out the ages of the children. Write their ages from youngest to oldest.

youngest oldest

Triangles A and B are drawn on the coordinate grid.

Describe fully the single transformation that maps triangle A onto triangle B.

On the grid, reflect triangle A in the line x = 0.

Label the image C.

On the grid, translate triangle A by vector .

Label the image D.

Jack and Alex take rubbish to be recycled. Jack takes 520 kilograms, 87% of which can be recycled. Alex takes 750 kilograms, 61% of which can be recycled.

Calculate who takes the greatest amount of rubbish that can be recycled and by how much.

Calculate the area of a circle with radius 14 cm.

Round 356 to the nearest ten.

Round 356.052 to 1 decimal place.

Find the value of y in each of the following.

3 × 3 × 3 × 3 = 3^y

6³ × 6⁵ = 6^y

Anna and Paddy take part in the same fun run.

Anna completed the fun run in 2 hours. Her average speed was 6 kilometres per hour. Paddy completed the fun run in 90 minutes.

Work out Paddy’s average speed in kilometres per hour.

Anna says

Because I stopped for drinks, my average running speed was faster than 6 kilometres per hour.

Give one reason to support Anna’s statement.

The volume of a piece of wood is 620 cm³. Its density is 0.85 g/cm³.

Work out its mass.

Complete this table for y = 4 x - 2.

On the grid below, draw the graph of y = 4 x - 2 for values of x from 0 to 4.

The diagram below shows part of another straight line.

Find the equation of this straight line.

Delia, Edwin and Freya share some money in the ratio 5: 7: 8. Freya’s share is £1600.

How much money did they share?

Luke is an office receptionist. Each day, for 60 days, he records the number of people visiting the office.

Calculate an estimate of the mean number of people visiting the office.

Luke says the range is 40.

Explain why he may be wrong.

James and Elizabeth buy some clothes.

James buys 5 shirts and 4 jumpers. He pays £163. Elizabeth buys 3 shirts and 2 jumpers. She pays £89.

Assume that each shirt has the same cost and that each jumper has the same cost.

Work out the cost of one shirt and the cost of one jumper. You must show your working.

Cost of one shirt £........

Cost of one jumper £........

Claudia invests £25 000 at a rate of 2% per year compound interest.

Calculate the total amount of interest she will have earned after 5 years. Give your answer correct to the nearest penny.

A bus timetable shows the following information.

• A bus following route T leaves for the train station every 20 minutes.

• A bus following route A leaves for the airport every 18 minutes.

• A bus following route T and a bus following route A both leave at 8.37 am.

When is the next time one of each bus is timetabled to leave at the same time?

Write down one assumption that was necessary to solve this problem.

AOB is a sector of a circle, centre O.

Show that the length of arc AB is 5.24 cm, correct to 3 significant figures.

Bennie is 7 years older than Ayesha. Chloe is twice as old as Bennie. The sum of their three ages is 57.

Work out the ages of Ayesha, Bennie and Chloe.