AQA GCSE Maths Paper 2: Calculator Foundation June 2023 question paper 8300/2F

Here is a number line.

What number is at X?

Here is a different number line.

What number is at Y?

Match each expression on the left with the simplified expression on the right. One has been done for you.

Here are some shapes. Each shape has an area of six square centimetres.

Which has the bigger perimeter, shape A or shape B ? You must show the lengths of both perimeters.

Which shape is congruent to shape A ?

Which two shapes fit together to make a rectangle?

On this grid draw a reflection of shape C. Show your mirror line.

Points P and Q are shown on the grid.

Write down the coordinates of P.

Angle PQR is a right angle. Work out possible coordinates for R.

A shop sells bottles of orange juice. Each bottle costs 75p Work out the greatest number of bottles that can be bought with £5

Two shops sell bottles of apple juice.

At which shop is it cheaper to buy 24 bottles? Show working to support your answer.

A game has four cards labelled A, B, C and D. Ellie picks two of the cards at random. Complete the list of the six possible pairs of cards she could pick.

Complete the boxes using two different even numbers and two different odd numbers.

Complete the boxes using a factor of 12 and

Complete the boxes using a square number and a prime number.

8 93 people were asked if they played online games one day. The frequency tree shows some information about their answers.

75% of the people who answered Yes played one game. Complete the frequency tree.

One of the 93 people is chosen at random. P(used social media) is more than 0.68

What is the smallest possible number of people who used social media?

The cost of a TV streaming service is £6 per month for the first 4 months then £11 per month for the rest of the year. Work out the total cost for the year.

A TV series has ten episodes. Nine episodes are each 50 minutes long. One episode is 1 hour 42 minutes long. Work out the total length of the series. Give your answer in hours and minutes.

There are 1020 books in a box. of the books are blue. How many are blue?

There are green pens and red pens in the box. The ratio of green: red is 4: 3 What fraction of the pens are green?

There are some calculators in the box. 220 are scientific. 30 are not. What percentage of the calculators are scientific?

Here is a Venn diagram. ξ = 60 people H = people who own a gaming headset W = people who own a smart watch

15 of the people own a smart watch. Complete the Venn diagram.

One of the 60 people is chosen at random. What is the probability that they own both a gaming headset and a smart watch?

Marek is going to buy a gaming headset that costs £35 He already has £19 He plans to save the rest in two equal amounts over the next two weeks. He uses this method to work out in pounds how much to save each week.

What is wrong with his method?

Kai says that 3: 2 is an equivalent ratio to 9: 6 Jo says that 1.5: 1 is an equivalent ratio to 9: 6 Who is correct? Tick one box.

Give reasons for your answer.

28 is increased by 25% 40 is decreased by 15% Which answer is bigger? Show how you decide.

Factorise 12 a + 15 b

Write down all the integers that satisfy the inequality

A linear sequence starts

7 10 13 16 Work out an expression for the n th term of the sequence.

Jess saves 2p, 5p and 10p coins. She has

• 45 10p coins

• 8 times as many 2p coins as 10p coins

• £17.70 in total.

Work out total value of 2p coins: total value of 5p coins Give your answer in its simplest form.

In a game,

an ordinary fair six-sided dice is rolled

the fair spinner shown is spun.

The score is the dice number substituted into the spinner expression.

Complete the table to show all of the possible scores.

A player wins the game if their score is 10 or more. Work out the probability that they win the game.

The game is played 711 times. Estimate the number of games that are won.

19

Assume that the polygon is an octagon. Work out the size of angle x.

In fact, the polygon has more sides than an octagon. What does this mean about the size of angle x ? Tick one box.

Write down the translation vector that maps shape A onto shape B .

A bowl is a hemisphere with radius 12 cm

Water is poured into the bowl at a rate of 325 cm³ per second for 8 seconds. Does the water fill more than 70% of the bowl? You must show your working.

Show that these two rectangles are similar.

A factory packs x boxes of teabags per hour. Each box contains 80 teabags. Show that the factory packs teabags per minute.