Cambridge International Examinations

Cambridge International General Certificate of Secondary Education

* 1 8 3 3 3 1 9 9 5 2 *

CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/21

Paper 2 (Extended) May/June 2017
45 minutes
Candidates answer on the Question Paper.
Additional Materials: Geometrical Instruments

READ THESE INSTRUCTIONS FIRST

Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
Do not use staples, paper clips, glue or correction fluid.
You may use an HB pencil for any diagrams or graphs.
DO NOT WRITE IN ANY BARCODES.

Answer all the questions.

CALCULATORS MUST NOT BE USED IN THIS PAPER.
All answers should be given in their simplest form.
You must show all the relevant working to gain full marks and you will be given marks for correct methods
even if your answer is incorrect.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 40.

This document consists of 7 printed pages and 1 blank page.

DC (LK/SG) 133442/3
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Formula List

- b ! b 2 - 4ac
For the equation ax 2 + bx + c = 0 x=
2a

Curved surface area, A, of cylinder of radius r, height h. A = 2rrh

Curved surface area, A, of cone of radius r, sloping edge l. A = rrl

Curved surface area, A, of sphere of radius r. A = 4r r 2

1
Volume, V, of pyramid, base area A, height h. V = Ah
3

Volume, V, of cylinder of radius r, height h. V = rr 2 h

1
Volume, V, of cone of radius r, height h. V = rr 2 h
3

4
Volume, V, of sphere of radius r. V = rr 3
3

A a b c
= =
sin A sin B sin C

b a 2 = b 2 + c 2 - 2bc cos A
c

1
Area = bc sin A
2

B a C

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Answer all the questions.

1 Work out.
(0.6) 2

..................................................... [1]

16
2 (a) Write the fraction in its lowest terms.
60

..................................................... [1]
(b) Work out.
4 5
+
11 11

..................................................... [1]

3 Expand.
x (x 3 - 4x)

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

4 Change 430 cm 2 into m 2 .

.............................................. m 2 [1]

5 Write down the value of 16 0 .

..................................................... [1]

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6 Find the lowest common multiple (LCM) of 20 and 24.

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

7 f (x) = x 3 - 2

Find the value of x when f (x) = 25 .

x = .................................................... [2]

NOT TO
26 cm
24 cm SCALE

x cm

Find the value of x.

x = .................................................... [3]

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9 Solve the simultaneous equations.

4x + 3y = 0
2x - y = 5

x = ....................................................

y = ................................................... [3]

J6N
10 p = KK OO
3
L P

Find p , giving your answer in the form 3 a .

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

11 A is the point (3, 11) and B is the point (7, 3).

Find the equation of the line AB, giving your answer in the form y = mx + c .

y = .................................................... [3]

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12 Solve.

2x 2 - 5x - 7 = 0

x = ........................... or x = ........................... [3]

13 By rationalising the denominator, simplify

12
.
6 -2

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

14 A bag has 3 blue balls and 7 green balls only.

One ball is chosen at random and not replaced.
A second ball is then chosen at random.

Find the probability that both balls chosen are the same colour.
Give your answer in its simplest form.

..................................................... [4]

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15 Expand the brackets and simplify.

(4x - 3y) (2x - 5y)

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

16 Simplify.
2
2 log 3 - 3 log 2 + 2 log
3

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

17 Write the list of numbers in order, starting with the smallest.

sin 60° cos 60° tan 60° 2

....................... 1 ....................... 1 ....................... 1 ....................... [2]

smallest

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© UCLES 2017 0607/21/M/J/17