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Maths · AQA 8300 · Paper 1: Non-calculator · Foundation · November 2017

AQA GCSE Maths Paper 1: Non-calculator Foundation November 2017 question paper 8300/1F

1h 30m 80 marks

Calculators may not be used

Practise the past exam questions by topic

AQA 8300 · Paper 1F

31 questions
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Question 9

In a game, three stars are hidden at random. Each star is behind a different square on this board.

Figure for question 9
(a)

A square is chosen at random. What is the probability that there is a star behind it?

[1 mark]

(b)

In one game, the stars are behind three consecutive squares. The squares are in one row or one column. One of the squares is E2 Write down all the possible pairs for the other two squares.

Figure for question 9

[2 marks]

Question 17

A sequence has three terms. The term-to-term rule for the sequence is multiply by 8 and then add 11

(a)

The first term of the sequence is –1 Work out the third term.

[2 marks]

(b)

The order of the three terms is reversed to make a new sequence. Work out the term-to-term rule for this sequence.

[1 mark]

Question 21

(a)

Joe wants to bisect angle BCD.

Figure for question 21

Here is his method. Use a pair of compasses to draw arcs of the same radius from B and D. Draw a straight line from C through the intersection of the arcs.

Figure for question 21

Write down the error in his method.

[1 mark]

(b)

Kay wants to show all the points 3 km from point P. Scale: 1 cm represents 1 km

× P

Here is her answer. Scale: 1 cm represents 1 km

Figure for question 21

What is wrong with her answer?

[1 mark]

(c)

Here is a rectangle.

Using a pair of compasses and a straight edge, construct one line of symmetry. Show clearly your construction arcs.

[2 marks]

Question 23

Anil’s home is 1 km from a shop. He walked from home to the shop at a constant speed in 10 minutes. He stayed at the shop for 5 minutes. He walked home at a constant speed in 8 minutes. Anil drew this distance-time graph to represent his journey.

Figure for question 23

Make two criticisms of his graph.

[2 marks]

Question 26

Three identical isosceles triangles are joined to make this trapezium. Each triangle has base b cm and perpendicular height h cm

Figure for question 26
(a)

Work out an expression, in terms of b and h, for the area of the trapezium. Give your answer in its simplest form.

[2 marks]

(b)

This diagram shows the same trapezium.

Figure for question 26

b: s = 2: 3 Work out an expression, in terms of b, for the perimeter of the trapezium.

[2 marks]

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