OCR GCSE Maths Paper 2: Non-calculator Foundation November 2023 question paper J560/02

Work out.

45 × 100

37 ÷ 100

2.36 + 1.79

0.82 - 0.36

Write down 50% of 80.

Use your answer to part (a)(i) to complete this statement.

50% of 80 is the same as........ % of 160

Write 36 as a fraction of 120. Give your answer in its simplest form.

Work out.

Give your answer as a mixed number.

Work out.

The bar chart shows the rainfall, in millimetres (mm), for a city in the first three months of the year.

Write down the amount of rainfall in February.

Write in its simplest form the ratio amount of rainfall in February: amount of rainfall in March.

The total amount of rainfall in January and February was the same as the total amount of rainfall in March and April.

Work out the amount of rainfall in April.

Complete the three missing values on this multiplication grid.

Three adults, Amos, Beth and Charlie, are comparing their age in years.

Amos is 32. Beth is 48. The mean age of Amos, Beth and Charlie is 50.

Work out the age of Charlie.

Show your working and give a reason for your answer.

........ is smaller because........

Complete each statement.

........ × 4 = 12.08

Four apples cost £1.80.

Find the cost of five of these apples.

By rounding each value to one significant figure, estimate the cost of 8.2 kg of bananas at 73p per kg. Give your answer in pounds.

Choose a word from this list which best describes each statement.

Equation Expression Formula Inequality Term

2 b + 2 w
(a)........

πr² = 30
(b)........

A bag contains only red, green and blue counters.

• 8 of the counters are red.

• 15 of the counters are green.

• The rest of the counters are blue.

Sam chooses one counter at random from the bag. The probability that this is a green counter is Work out the number of blue counters in the bag.

The diagram shows two straight lines crossing a pair of parallel lines.

Find the value of x. Give a geometrical reason for your answer.

Find the value of y. Give a geometrical reason for your answer.

Find the value of z.

Work out.

3⁴

Simplify. 5x² x

Rearrange this formula to make x the subject.

A sales representative and a manager discuss this graph of sales over the last year.

The sales representative says

I can tell from the graph that, over the last year, sales have risen every month.

Is the sales representative correct? Give a reason for your answer.

The manager says

I can tell from the graph that sales are now more than double what they were at the start of the year.

Is the manager correct? Give a reason for your answer.

Triangle A and triangle B are drawn on the coordinate grid.

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

Here are the first five terms of a sequence.

4 8 12 16 20

Write down the next term of the sequence.

Kai says

All of the terms in the sequence are even numbers. 402 is an even number. Therefore, if the sequence is continued, 402 will be in the sequence.

Is Kai correct? Give a reason for your decision.

Here are the first five terms of another sequence.

0.25 0.5 1 2 4

Write down the next term of the sequence.

Explain how you worked out your answer.

A motorist wants to buy a new car but does not have enough money.

The price of the car is £16 000.

The motorist sees this notice for a deal on the car they want to buy. The number of equal monthly payments is hidden.

Pay 15% of the price of the car now

Work out the number of monthly payments if the total cost of the car to the motorist is £17 400. You must show your working.

A box contains only red, green and black pens. The ratio of red pens to green pens to black pens is 1: 4: 11.

Work out the percentage of the pens that are green.

There are 24 more green pens than red pens.

Work out the total number of pens in the box.

A solid wooden block has a volume of 900 cm³. The density of the wood is 0.7 g/cm³.

Calculate the mass of the wooden block. Give the units of your answer.

Here is a table of values for y = + 2.

Draw the graph of y = + 2 for -6 ⩽ x ⩽ 6, x ≠ 0.

The diagram shows a rectangle with length (3 x - 4)cm and width (x + 2)cm.

The length of the rectangle is twice the width of the rectangle.

Calculate the area of the rectangle. You must show your working.

A teacher is planning a theme day for the 500 pupils at their school. The teacher asks a sample of 20 pupils from year 8 which theme they would prefer.

The results are shown in the table.

Describe two disadvantages of the teacher’s sampling method.

Using the results from the table, the teacher estimates that 175 pupils in the school would prefer a sport theme.

Here is the teacher’s method.

Write down one assumption the teacher has made when making their estimate.

Using ruler and compasses only, construct the road from town T to the road AB.

The new road costs £200 000 per kilometre to build. The road constructor says

The new road will cost over £600 000 to build.

Show that the road constructor is incorrect.

A straight line passes through the points (0, 5) and (2, 13).

Find the equation of the line in the form y = mx + c.

Find the value of m.

A triangle has sides of length 6 cm, 10 cm and 12 cm.

Is this a right-angled triangle? Show how you decide.