OCR GCSE Maths Paper 2: Non-calculator Foundation November 2024 question paper J560/02

Write down a multiple of 9 between 30 and 40.

Write down a factor of 100 between 11 and 30.

Work out.

7 + - 5

26 × 6

1648 ÷ 8

4.78 + 5.3

The vertical line chart shows the rainfall, in millimetres (mm), in March and April.

Write down the rainfall in March.

In May there was 55 mm of rainfall.

Complete the vertical line chart for May.

Work out the total rainfall for March, April and May.

Here is a rectangle.

Work out the area of the rectangle.

Complete each statement.

35 kilograms =........ grams.

203 millilitres =........ litres.

4 square centimetres =........ square millimetres.

A train travels 90 km at an average speed of 40 km/h.

Work out the time taken for this journey. Give your answer in hours and minutes.

(b)........ hours........ minutes

There are 16 coins in a bag.

• Six 5p coins.

• Two 10p coins.

• Eight 20p coins.

The diagram shows a probability scale.

One coin is taken at random from the bag.

Which arrow shows the probability that the coin:

has a value of less than £1,

is a 20p coin,

is a 50p coin?

More coins are added to the 16 coins already in the bag. One coin is taken at random from the bag.

The probability of the coin being a 5p, a 10p or a 20p coin are now all equal.

Find the minimum number of coins that must be in the bag.

Work out.

Work out.

Give your answer in its simplest form.

A sequence is generated using the rule:

• multiply the previous term by 3

• then subtract 1.

The 2nd term of the sequence is 20.

Find the 3rd term of the sequence.

Find the 1st term of the sequence.

Here are the first four terms of a different sequence.

5 10 15 20

Find the n th term of the sequence.

80 students each chose two activities, one from Option 1 and one from Option 2.

This frequency tree shows the number of students choosing some of the activities.

How many more students chose hockey and multigym rather than football and multigym?

Ten more students chose football rather than hockey.

Complete the frequency tree.

The table shows charges made by a gas company to its customers.

The owner of a flat receives a gas bill covering a period of 100 days. They have used 7000 units of gas in this period.

Show that their bill is for £587.

The owner of a house is supplied gas by a different gas company.

• The cost per day is 25p.

• They use 10 000 units of gas in 100 days.

• Their bill covering the period of 100 days is £975.

Work out the cost per unit of gas used, giving your answer in pence.

Triangle A is drawn on the grid below.

Enlarge triangle A by scale factor 2 with centre of enlargement (0, 1).

Label the image B.

Complete the description of the single transformation that maps triangle B back to triangle A.

Enlargement by scale factor........ with centre of enlargement........

A spinner has five sides numbered 1 to 5. If the spinner is fair, the probability that it lands on the number 1 is 0.2.

A student spins the spinner 300 times.

Assuming the spinner is fair, use the information to work out how many times the spinner is expected to land on the number 1.

The spinner actually landed on the number 1 on 58 of the 300 spins.

Decide whether or not the result suggests this spinner is likely to be a fair spinner? Give a reason for your answer.

Find the value of:

2⁵,

Simplify.

y¹² ÷ y⁴

Find the value of p.

Rosa is thinking of a fraction. The numerator is a cube number less than 100. The denominator is a square number less than 100.

Find the fraction that Rosa is thinking of.

The graph shows the time, in minutes, taken by some pupils to travel to school on Tuesday.

Less than 10 10 to 30 More than 30

Time (minutes)

Find the percentage of these pupils that took more than 30 minutes to travel to school.

On Tuesday the number of pupils taking 10 to 30 minutes to travel to school was 25% less than on Monday.

Find the number of pupils taking 10 to 30 minutes to travel to school on Monday.

An electrician charges £30 per visit plus £22 per hour.

Write an expression for the cost, in £, charged by the electrician for one visit lasting n hours.

Anika has a shelf 79.6 cm long. She has many books, each of width 3.4 cm. Anika puts two paperweights, each of width 5 cm, and the maximum possible number of books on the shelf.

Work out the amount of space on the shelf that is left over. You must show your working.

Jack has ten cards numbered 11 to 20. He picks a card at random.

Jack says,

In these ten cards, there are two multiples of 5 and five even numbers. Therefore, the probability that I pick a card that is a multiple of 5 or an even number is

Describe the error in Jack’s method and give the correct answer.

The correct answer is........

Felix makes craft figures at a constant rate. He can make 5 craft figures in 40 minutes.

Find the number of craft figures Felix can make in 4 hours.

Darcie makes craft figures 10% quicker than Felix.

Work out how long Darcie takes to make 15 craft figures.

Here is a question and an incorrect answer.

Explain why the answer is not correct.

Show that (x + 3)(x - 5) = x² - 2x - 15.

The diagram shows a sketch of the graph y = (x + 3)(x - 5).

Complete the diagram by adding the values of the three intercepts with the axes.

The minimum point on the graph is marked T.

Write down the coordinates of the point T.

In this question, all lengths are in centimetres.

The diagram shows an isosceles triangle ABC.

Find the perimeter of the triangle. You must show your working.

The diagram shows two right-angled triangles, ABC and BDC, joined at BC.

Work out angle BCA. You must show your working.