Pearson Edexcel International GCSE Mathematics A

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Pearson Edexcel International GCSE

Centre Number

Mathematics A

Level 1/2 Paper 2H

Specimen Paper

Time: 2 hours

Candidate Number

Higher Tier

Paper Reference

4MA1/2H

You must have: Ruler graduated in centimetres and millimetres, protractor, 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.

? Without sufficient working, correct answers may be awarded no marks. ?? Answer the questions in the spaces provided

? there may be more space than you need. Calculators may be used.

?? You must NOT write anything on the formulae page. Anything you write on the formulae page will gain NO credit.

Information

The total mark for this paper is 100.

?? 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.

?? Check your answers if you have time at the end.

S56284A

?2017 Pearson Education Ltd.

1/1/1/1/1/

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International GCSE Mathematics Formulae sheet ? Higher Tier

Arithmetic series

Sum to n terms, Sn =

n 2

[2a + (n ? 1)d]

The quadratic equation

The solutions of ax2 + bx + c = 0 where a ? 0 are given by:

x = -b ? b2 - 4ac 2a

Trigonometry C

b

a

A

c

B

Area of trapezium = 1 (a + b)h 2

a

h

b In any triangle ABC Sine Rule a = b = c

sin A sin B sin C Cosine Rule a2 = b2 + c2 ? 2bc cos A Area of triangle = 1 ab sin C

2

Volume of cone = 1 r2h 3

Curved surface area of cone = rl

Volume of prism = area of cross section ? length

l h

r Volume of cylinder = r2h Curved surface area of cylinder = 2rh

r

h

cross section

length

Volume of sphere = 4 r3 3

Surface area of sphere = 4r2

r

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2

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Answer ALL TWENTY TWO questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 (a) Simplify3e7f ? 4e2f

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2

(b) Simplify fully(27a12)3

(c) Solve the inequality2q 31 ? 3q

.......................................................

(2)

.......................................................

(2)

?2 n < 3 n is an integer

(d) Write down all the possible values of n.

.......................................................

(2)

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(2)

(Total for Question 1 is 8 marks)

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3

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2 The diagram shows a circle and a trapezium.

8.5cm

The height of the trapezium is hcm. The area of the circle is equal to the area of the trapezium. Work out the value of h. Give your answer correct to 1 decimal place.

20cm hcm 25cm

Diagram NOT accurately drawn

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. . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . .. .. .. .. .. .. .. .. .. ..

(Total for Question 2 is 4 marks)

4

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3 In a bag there are only red bricks, blue bricks, green bricks and orange bricks.

The number of green bricks in the bag is the same as the number of orange bricks.

Jiao takes at random a brick from the bag. The table gives the probability that Jiao takes a red brick and the probability that he takes a blue brick.

Colour

red

Probability 0.26

blue

green orange

0.3

(a) Work out the probability that Jiao takes an orange brick.

.......................................................

(3)

Jiao puts the brick back into the bag. There are 91 red bricks in the bag.

Jiao is going to build a tower using all the red bricks and all the blue bricks but no other bricks. The tower will be in the shape of a cuboid. There will be 4 bricks in each layer of the tower.

(b) Work out how many layers the tower will have.

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(3)

(Total for Question 3 is 6 marks)

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5

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4 Here are the first five terms of a number sequence.

7

11

15

19

23

(a) Find an expression, in terms of n, for the nth term of this sequence.

The nth term of a different number sequence is given by 80 ? 2n (b) Write down the first 3 terms of this sequence.

.......................................................

(2)

, , ............................... ............................... ............................... (2)

Yuen says there are no numbers that are in both of the sequences. Yuen is correct. (c) Explain why.

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(1) (Total for Question 4 is 5 marks)

5 Aayush invests 18000 rupees for 3 years at a rate of 4% per year compound interest. Work out the total amount of interest Aayush has received by the end of 3 years. Give your answer correct to the nearest rupee.

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rupees . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

(Total for Question 5 is 3 marks)

6

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6

x 12cm

Calculate the size of angle x. Give your answer correct to 1 decimal place.

Diagram NOT accurately drawn 8cm

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?

.......................................................

(Total for Question 6 is 3 marks)

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7

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7 A

O

x

C

A and C are points on a circle, centre O. AB and CB are tangents to the circle. Angle ABC = 52?

Work out the size of angle x. Give a reason for each stage of your working.

Diagram NOT accurately drawn

52?

B

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x = ? .......................................................

(Total for Question 7 is 4 marks)

8

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