AQA GCSE Maths Paper 3: Calculator Foundation June 2023 question paper 8300/3F

Solve 5 x = 15

Solve y + 7 = 50

y =

Here is a list of numbers. 10 8 2 11 12 15 4 4

Write down the mode.

Work out the median.

Work out the range.

A fair spinner with five sections is spun.

Complete these statements.

Two different spinners are spun. One spinner has sections labelled with colours. The other spinner has sections labelled with numbers. Here is a list of all the possible outcomes.

Show the possible sections on the two spinners.

A reel holds 9.5 metres of ribbon. 2 pieces of ribbon are cut from the reel. Each piece is 20 centimetres long. What length of ribbon is left on the reel? State the units of your answer.

The term-to-term rule for a sequence is subtract 1 then multiply by 5 The 1st term is 4 Work out the 3rd term.

The term-to-term rule for a different sequence is add 20 then divide by 2 The 2nd term is 50 Work out the 1st term.

Scarlett leaves home at 10.00 to cycle to the supermarket. Here is part of a distance-time graph of her trip to the supermarket.

She arrives at the supermarket at 10.20 How far is the supermarket from her home?

She leaves the supermarket at 10.35 How long does she stay at the supermarket?

Scarlett cycles home at a constant speed using the same route. It takes her 3 minutes longer than her journey to the supermarket. Complete the distance-time graph.

This week, Liam works 25 hours at £10.20 per hour and extra hours at the weekend at £11.80 per hour. Here are the extra hours he works at the weekend.

In total, how much is he paid this week?

Three oranges have masses of 60 g, 70 g and 85 g Show that their total mass is between and of a kilogram.

For each statement, tick the correct box.

Simplify fully p² × p

Simplify fully 3 a + 5 c – a + 6 c

Two angles around a point are shown.

The angles are in the ratio 2: 7 Show that the larger angle is 280 °

c 4 d 4 c – d = 6 Work out a possible pair of values for c and d.

w is greater than 1 and less than 2 x is greater than 0 and less than 1

Work out a possible pair of values for w and x.

Here are three straight lines.

Are the lines AB and CD parallel? Tick a box.

Show working to support your answer.

Match the algebra to the correct description. One has been done for you.

Popcorn is sold in bags. 8 small bags have a total mass of 496 g 5 small bags and 2 large bags have a total mass of 638 g Work out the mass of a large bag.

Work out the length of the rectangle.

Match the name to the correct sequence. One has been done for you.

Name Sequence

The number of hedgehogs in England is expected to reduce by 4% each year. Assume there are now 1 000 000 hedgehogs in England. Work out the expected number of hedgehogs in England after five years. You must show your working.

Here is cuboid A.

Cuboid B is made from two of cuboid A.

volume of A: volume of B = 1: 2 Matthew says, “surface area of A: surface area of B must be 1: 2 because B is made of 2 of A.” Is Matthew correct? Tick one box.

Give a reason for your answer.

Complete the table of values for y = x² + 2x

Draw the graph of y = x² + 2x for values of x from –3 to 1

Jing has £2450 She saves some and gives the rest to her four brothers. money saved: money given to brothers = 2: 5 She gives each of her four brothers the same amount. Does each brother receive more than £430 ? You must show your working.

There were 132 more people on Friday than on Thursday. Work out the number of people on Saturday.

Use trigonometry to work out the value of x.

Millie is estimating the value of

She rounds each decimal number to 1 significant figure.

Work out Millie’s estimate. You must show your working.

Millie says, “My estimate must be more than the exact value.” Without working out the exact value, give a reason how she can know this.

Factorise x² + 8x + 15

Write down the two solutions of (y + 2)(y – 4) = 0