All papers

Maths · AQA 8300 · Paper 3: Calculator · Foundation · June 2024

AQA GCSE Maths Paper 3: Calculator Foundation June 2024 question paper 8300/3F

1h 30m 80 marks

Materials

Practise the past exam questions by topic

AQA 8300 · Paper 3F

27 questions
Report a problem
What is wrong?

Goes to whoever maintains the question split. No account needed and nothing is published on this page.

Question 7

(a)

Here is a number machine.

Figure for question 7

Complete the number machine.

[1 mark]

(b)

Here is a different number machine.

Figure for question 7

Complete the number machine.

[1 mark]

(c)

Here is a different number machine.

Figure for question 7

When x = 5 y = 13 and when x = 10 y = 28

Complete the number machine.

[2 marks]

Question 8

• A pack of pegs costs 40p

• A bar of soap costs £2.20

• A basket costs £7

Dan buys two packs of pegs, one bar of soap and one basket.

What fraction of the total cost is the cost of the basket?

[3 marks]

Question 10

8400 fans go to a rugby match.

6850 of the fans support the Home team. The remaining fans support the Away team.

20% of the Home fans wear a scarf. 2319 of all the fans wear a scarf.

Complete the frequency tree.

Figure for question 10

[5 marks]

Question 12

Liz records the distance of some runs and the time each run takes.

Distance (km)345.566.5788.5
Time (min)1417222326313842

The scatter graph shows some of the information from the table.

Figure for question 12
(a)

Complete the graph by adding the missing label and plotting the two missing points.

[2 marks]

(b)

Describe the correlation shown in the scatter graph.

Type of correlation

Strength of correlation 6

[2 marks]

Question 16

Tins of beans are sold in shop A and shop B.

Figure for question 16

10% reduction in price on all packs

At which shop is it cheaper to buy 20 tins? State how much cheaper.

[5 marks]

Question 17

(a)

There are 30 students in a class. 12 of the students have school lunch.

Work out the ratio students having school lunch: students not having school lunch Give your answer in its simplest form.

[2 marks]

(b)

In a different class students wearing glasses: students not wearing glasses = 3: 8

What fraction of students in this class wear glasses?

[1 mark]

(c)

The ratio 4: 9 is written in the form 1: n

Work out the value of n.

n =

[1 mark]

Question 18

Here are the first three Patterns in a sequence made up of small squares.

Figure for question 18
(a)

On the grid, draw Pattern 4

Figure for question 18

[1 mark]

(b)

The expression for the number of small squares in Pattern n is n2 + 4

Work out the least value of n for which the number of small squares is greater than 500

n =

[1 mark]

Question 20

Rick claims most of the flats in his 8-floor building are energy efficient. He samples 45 flats from floors 1 to 5

Give a reason why this sample may not be useful in testing Rick’s claim.

[1 mark]

Question 22

Kay hires a digger. The cost per day is

maths symbol £24.50 for the first 5 days

maths symbol reduced by 20% for day 6

maths symbol the same as day 6 for day 7 onwards.

The total cost is £259.70

For how many days did Kay hire the digger? You must show your working.

[5 marks]

Question 24

(a)

On Monday, Larrs swims 50 metres in 40 seconds at a constant speed. On Tuesday, Larrs swims 1.5 kilometres.

Assume he swims at the same constant speed as on Monday.

How many minutes does he swim for on Tuesday?

[5 marks]

(b)

In fact, on Tuesday Larrs swims at a slower constant speed than on Monday.

What does this mean about the number of minutes he swims for on Tuesday? Tick the correct box.

Figure for question 24

[1 mark]

Question 25

Four people are taking part in a television talent show.

Here are Amy’s marks from the 6 judges.

Figure for question 25

The pie chart represents the phone vote.

Figure for question 25

Amy’s total score is found by

4 × the mean of her marks

her percentage of the phone vote

Work out Amy’s total score.

[4 marks]

Question 27

Town A has a population of 84 000 an area of 7 square miles.

Town B has a population density of 4695 people per square kilometre.

Figure for question 27

Which town has the greater population density?

Use 1 square mile = 2.6 square kilometres Tick a box.

Figure for question 27

Show working to support your answer.

[3 marks]

The paper as printed

Spotted a mistake on this page?Report a problem