OCR GCSE Maths Paper 2: Non-calculator Foundation June 2022 question paper J560/02

Work out.

4 – 5

2 ×-3

Write down the largest prime factor of 30.

What fraction of this shape is shaded?

What percentage of this shape is shaded?

Write 0.2 as a fraction. Give your answer in its simplest form.

Work out 80% of 30.

Bananas cost 25p each.

How many bananas can be bought for £2?

A student makes a fair 8-sided spinner. They write the numbers 11, 12, 13, 14, 15, 16, 17 and 18 on the spinner.

Write down the probability of the student’s spinner landing on a number which is less than 12.

Find the probability of the student’s spinner landing on a multiple of 3.

Taylor has collected data on the number of students who were absent from their school last week. The bar chart shows the results for the first four days.

On Friday there were 54 students who were absent from the school.

Show this information on the bar chart.

Taylor says

On Monday 150% of the students were absent from my school.

Could this be true? Explain how you decide.

There are 600 students in Taylor’s school. Find the percentage of students who were absent from Taylor’s school on Thursday.

Multiply out.

5 (x + 2)

Rearrange this formula to make r the subject.

p = 3 r - 5

Work out.

3.08 + 0.82

7.7 ÷ 11

Work out.

Give your answer as a decimal.

A local theatre is putting on a show. 50 child tickets are sold. The ratio of the number of child tickets sold to the number of adult tickets sold is 5: 2.

The cost of a child ticket is £2.50. The cost of an adult ticket is £5.00.

Work out the total amount paid for the tickets.

The diagram shows Kai’s garden. It is in the shape of a right-angled triangle.

Kai is going to spread grass seed on the garden.

• A bag of grass seed covers an area of 35 m².

• Each bag of grass seed costs £8.99.

Kai can only buy whole bags of grass seed. Kai buys the least number of bags needed for the garden.

Calculate the cost of buying the bags of grass seed that Kai needs. You must show your working.

Some students were asked how they travel to school. Each student gave one answer. The pie chart shows the proportion who travel by bus, by train or walk.

All of the remaining students travel to school either by bike or by car. The ratio of the number who travel by bike to the number who travel by car is 2: 3.

Complete the pie chart.

You must show your working.

Which way of travelling to school is the mode?

Dinosaurs first appeared on Earth 2.4 × 10⁸ years ago. Dinosaurs became extinct on Earth 7 × 10⁷ years ago.

Explain why it is appropriate to use standard form for these numbers.

Use the given information to work out how long dinosaurs existed on Earth. Give your answer in standard form.

Complete this statement by writing the missing power in the box.

Rectangle A and rectangle B are drawn on the coordinate grid.

Describe fully two different single transformations that map rectangle A onto rectangle B.

y is inversely proportional to x. y = 20 when x = 3.

Find the value of y when x = 12.

A town square has a fountain (F) at the centre. There is also a bell tower (B) and a statue (S).

The bearing of the statue from the fountain is x °.

The bearing of the bell tower from the fountain is 140° more than the bearing of the statue from the fountain.

Write down, in terms of x, the bearing of the bell tower from the fountain.

The bearing of the bell tower from the fountain is also three times the bearing of the statue from the fountain.

Work out the bearing of the bell tower from the fountain.

Morgan is playing a computer game. They can score 0, 1, 2 or 3 points on each turn. They record their scores for 100 turns. The table shows the relative frequencies of their scores.

Complete the table.

Morgan says

I scored more than 160 points in total in my 100 turns.

Is Morgan correct? Show how you decide.

Here is a right-angled triangle.

Work out the value of x.

The graph shows a parallelogram ABCD.

A has coordinates (0, - 6), B has coordinates (3, 0) and C has coordinates (9, 0).

Find the equation of the line that passes through the points C and D, giving your answer in the form y = mx + c. You must show your working.

Darcy says that the statement in the box is an equation. Ellis says that the statement in the box is an identity. One of them is correct.

Explain which one of Darcy or Ellis is correct.

........ is correct because........

Solve by factorising.

x² + 4x - 12 = 0

The diagram shows the scale drawing of a sandpit, ABCD. It also shows the arc of all points in the sandpit that are 80 cm from corner A.

Scale: 1 cm represents 20 cm

A game is played by throwing a ball into the sandpit. Points may be scored when the ball lands in the sandpit.

• 1 point if the ball lands within 80 cm of corner A, and

• 1 point if the ball is closer to side AB than side AD, and

• 1 point if the ball is closer to corner A than corner B.

By completing the construction, find and shade the regions where 2 points can be scored.

Show all your construction lines.