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Maths · AQA 8300 · Paper 1: Non-calculator · Foundation · June 2019

AQA GCSE Maths Paper 1: Non-calculator Foundation June 2019 question paper 8300/1F

1h 30m 80 marks

Calculators may not be used

Practise the past exam questions by topic

AQA 8300 · Paper 1F

28 questions
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Question 8

A game is played 50 times. The vertical line chart shows the winning scores.

Figure for question 8
(a)

Write down the mode.

[1 mark]

(b)

The game is played again.

Use the chart to estimate the probability that the winning score is 25

[1 mark]

(c)

Use the chart to estimate the probability that the winning score is 27 or more.

[2 marks]

Question 11

Here is a triangle on a square dotty grid.

Figure for question 11
(a)

On the grid below, show how you can make a parallelogram with two of these triangles.

Figure for question 11

[1 mark]

(b)

On the grid below, show how you can make a trapezium with three of these triangles.

Figure for question 11

[1 mark]

(c)

On the grid below, show how you can make a rhombus with four of these triangles.

Figure for question 11

[1 mark]

Question 16

(a)

Here is a map showing points A and B.

Figure for question 16

Kemal wants to measure the bearing of A from B. He draws two lines and measures the angle between them.

Figure for question 16

Kemal says that the bearing of A from B is 100° Is his method correct? Give a reason for your answer.

[1 mark]

(b)

On a different map, the bearing of D from C is 045° Nina says, “ D is North West of C.” Is Nina correct? Give a reason for your answer.

[1 mark]

(c)

This map shows an airport, E, on an island.

Figure for question 16

A plane flies due South from the airport. How far does it fly until it reaches the sea?

[3 marks]

Question 18

Here is some data about the people listening to a radio station one day.

Percentage Mean number of hours listening hours listening number of Range of
Aged 40 or under21 1.2 4.5
Aged 41 or over79 6.3 13.9

Compare the data for people aged 40 or under with the data for people aged 41 or over. Make three comparisons.

[3 marks]

Question 19

You are given that 4 a – 2 b = 10

(a)

Write down the value of 2 a – b

[1 mark]

(b)

Write down the value of 2 b – 4 a

[1 mark]

(c)

You are given that 4 a – 2 b = 10 and a + c = 3 Write an expression in a, b and c that is equal to 23 Give your answer in its simplest form. You must show your working.

[2 marks]

Question 21

Anna plays a game with an ordinary, fair dice. If she rolls 1 she wins. If she rolls 2 or 3 she loses. If she rolls 4, 5 or 6 she rolls again. When she has to roll again, if she rolls an odd number she wins if she rolls an even number she loses.

(a)

Complete the tree diagram with the four missing probabilities.

Figure for question 21

[2 marks]

(b)

Is Anna more likely to win or to lose? You must work out the probability that she wins.

[4 marks]

Question 22

Three friends arrive at a party. Their arrival increases the number of people at the party by 20% In total, how many people are now at the party?

[2 marks]

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