Pearson Edexcel International GCSE Thursday 5 November 2020

Please check the examination details below before entering your candidate information

Candidate surname

Other names

Pearson Edexcel International GCSE

Centre Number

Candidate Number

Thursday 5 November 2020

Morning (Time: 2 hours)

Mathematics A

Paper 2H Higher Tier

Paper Reference 4MA1/2H

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.

? 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.

P62657A

?2020 Pearson Education Ltd.

1/1/1/1/

*P62657A0124*

Turn over

DO NOT WRITE IN THIS AREA

DO NOT WRITE IN THIS AREA

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

DO NOT WRITE IN THIS AREA

2

*P62657A0224*

DO NOT WRITE IN THIS AREA

Answer ALL TWENTY ONE questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 (a) Simplify g6 ? g4

(b) Simplify k10 ? k3

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

(1)

(c) Simplify (3cd4)2

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

(1)

(d) Solve the inequality 4x + 7 > 2

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

(2)

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

(2)

(Total for Question 1 is 6 marks)

DO NOT WRITE IN THIS AREA

DO NOT WRITE IN THIS AREA

*P62657A0324*

3

Turn over

DO NOT WRITE IN THIS AREA

2 The table shows information about the lengths of time, in minutes, 120 customers spent in a supermarket.

Length of time (L minutes) 20 < L 30 30 < L 40 40 < L 50 50 < L 60 60 < L 70

Frequency 6 26 31 40 17

(a) Write down the modal class.

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

(1)

(b) Work out an estimate for the mean length of time spent by the 120 customers in the supermarket.

DO NOT WRITE IN THIS AREA

DO NOT WRITE IN THIS AREA

minutes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (4)

(Total for Question 2 is 5 marks)

4

*P62657A0424*

DO NOT WRITE IN THIS AREA

3

E Diagram NOT accurately drawn

C 58?

D

F

B

A

The diagram shows a parallelogram ABCD and an isosceles triangle DEF in which DE = DF

CDF and ADE are straight lines. Angle BCD = 58?

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

DO NOT WRITE IN THIS AREA

DO NOT WRITE IN THIS AREA

? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

(Total for Question 3 is 5 marks)

*P62657A0524*

5

Turn over

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

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download