IGCSE Mathematics 0580/42 Paper 4 (Extended) May/Jun 2020

*3126875001*

Cambridge IGCSETM

MATHEMATICS Paper 4 (Extended)

You must answer on the question paper. You will need: Geometrical instruments

0580/42 May/June 2020 2 hours 30 minutes

INSTRUCTIONS Answer all questions. Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. Write your name, centre number and candidate number in the boxes at the top of the page. Write your answer to each question in the space provided. Do not use an erasable pen or correction fluid. Do not write on any bar codes. You should use a calculator where appropriate. You may use tracing paper. You must show all necessary working clearly. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in

degrees, unless a different level of accuracy is specified in the question. For r, use either your calculator value or 3.142.

INFORMATION The total mark for this paper is 130. The number of marks for each question or part question is shown in brackets [ ].

DC (LK/SW) 186482/3 ? UCLES 2020

This document has 20 pages. Blank pages are indicated.

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2 1 (a) (i) Divide $24 in the ratio 7 : 5.

(ii) Write $24.60 as a fraction of $2870. Give your answer in its lowest terms.

$ ................... , $ ................... [2]

(iii) Write $1.92 as a percentage of $1.60 .

.................................................. [2]

............................................. % [1] (b) In a sale the original prices are reduced by 15%.

(i) Calculate the sale price of a book that has an original price of $12.

$ ................................................. [2] (ii) Calculate the original price of a jacket that has a sale price of $38.25 .

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$ ................................................. [2]

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3 (c) (i) Dean invests $500 for 10 years at a rate of 1.7% per year simple interest.

Calculate the total interest earned during the 10 years.

$ ................................................ [2] (ii) Ollie invests $200 at a rate of 0.0035% per day compound interest.

Calculate the value of Ollie's investment at the end of 1 year. [1 year = 365 days.]

$ ................................................ [2] (iii) Edna invests $500 at a rate of r % per year compound interest.

At the end of 6 years, the value of Edna's investment is $559.78 . Find the value of r.

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r = ................................................ [3]

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4

2 (a)

p

=

e

4 5

o

q

=

e-

2o 7

(i) Find 2p + q .

(ii) Find p .

f

p [2]

(b) A is the point (4, 1) and AB = e-31o. Find the coordinates of B.

................................................. [2]

(c) The line y = 3x - 2 crosses the y-axis at G. Write down the coordinates of G.

( ...................... , ...................... ) [1] ( ...................... , ...................... ) [1]

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5 (d)

D

T M

NOT TO SCALE

O

C

In the diagram, O is the origin, OT = 2TD and M is the midpoint of TC. OC = c and OD = d.

Find the position vector of M. Give your answer in terms of c and d in its simplest form.

................................................. [3]

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