Level 1/Level 2 GCSE (9–1) Mock Set 4 – Autumn 2018

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Candidate surname

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Centre Number

Pearson Edexcel Level 1/Level 2 GCSE (9?1)

Candidate Number

Mock Set 4 ? Autumn 2018

Time: 1 hour 30 minutes

Mathematics

Paper 3 (Calculator) Higher Tier

Paper Reference 1MA1/3H

You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Total Marks

Instructions

?? Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name,

?? centre number and candidate number. Answer all questions. Answer the questions in the spaces provided

???? ? there may be more space than you need. You must show all your working. Diagrams are NOT accurately drawn, unless otherwise indicated. Calculators may be used. If your calculator does not have a button, take the value of to be 3.142 unless the question instructs otherwise.

Information

?? The total mark for this paper is 80 The marks for each question are shown in brackets ? use this as a guide as to how much time to spend on each question.

Advice

???? Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end.

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?2018 Pearson Education Ltd.

1/1/1/

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Answer ALL questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 Write down the inequality shown in the diagram.

?4 ?3 ?2 ?1 0 1 2 3 4 5 x

2 The nth term of a sequence is n2 + 5 (a) (i) Find the first two terms of this sequence.

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(Total for Question 1 is 2 marks)

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(ii) Is 126 a term of this sequence? You must show how you get your answer.

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(1)

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(1) Here are the first five terms of an arithmetic sequence.

26 19 12 5 ?2 (b) Find an expression, in terms of n, for the nth term of this sequence.

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(2)

(Total for Question 2 is 4 marks)

2

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3 The table gives information about the times that 100 people took to travel to work.

Time (t minutes) 0 < t - 10 10 < t - 20 20 < t - 30 30 < t - 40 40 < t - 50 50 < t - 60

Frequency 10 26 23 19 14 8

(a) Find the class interval that contains the median.

(b) Draw a frequency polygon for the information in the table.

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(1)

30

20 Frequency

10

0

0

10

20

30

40

50

60

Time (t minutes)

(2)

(Total for Question 3 is 3 marks)

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3

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4 In London, 1 pint of milk costs 58p. In Paris, 1 litre of milk costs 1.05 euros.

1 litre = 1.76 pints ?1 = 1.17 euros

In which city is the milk better value for money, London or Paris? You must show your working.

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(Total for Question 4 is 3 marks)

4

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5 Simon can see two lights, light A and light B. Light A flashes every 15 seconds. Light B flashes every 18 seconds. At 10 pm, both lights flash at the same time. How many more times will both lights flash at the same time in the next 4 minutes?

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(Total for Question 5 is 3 marks)

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5

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