Cambridge IGCSE Mathematics - International 0607 — 2018 May/June Paper 2 · Variant 1
0607/21/M/J/18 · 15 questions · 40 marks · ≈45 min
The question paper and its mark scheme, free to read here and free to download. This is Cambridge’s own paper, exactly as it was sat.
Question paper8 pages
Mark scheme5 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Work out 5 - 7 # 2 + 8
1 (a) Work out 5 - 7 # 2 + 8 . .................................................... [1] (b) Find 3 .0001 . .................................................... [1]
Mark scheme: Question Answer Marks Partial Marks 1(a) – 1 1 1(b) 1 1 [0].1 or 10
Q2 · Find, by measuring, the size of this reflex angle
2 (a) Find, by measuring, the size of this reflex angle. .................................................... [1] (b) 80° NOT TO SCALE x° Work out the value of x. x = .................................................... [1] (c) Find the size of one exterior angle of a regular 18-sided polygon. .................................................... [2]
Mark scheme: 2(a) 232 to 236 1 2(b) 100 1 2(c) 20 2 360 M1 for oe 18 If 0 scored SC1 for 160 seen
Q3 · Solve these simultaneous equations
3 Solve these simultaneous equations. x - 3y = 7 x - 2y = 5 x = .................................................... y = .................................................... [2]
Mark scheme: 3 [x = ] 1 2 B1 for each [y = ] – 2 If 0 scored SC1 for correct substitution and evaluation to find the other variable
Q4 · Write 0.68 as a fraction in its lowest terms
4 (a) Write 0.68 as a fraction in its lowest terms. .................................................... [1] 3 8 (b) Work out ' . 7 9 .................................................... [2]
Mark scheme: 4(a) 17 1 25 4(b) 27 2 3 9 M1 for × oe 56 7 8
Q5 · These are the first five terms of a sequence
5 These are the first five terms of a sequence. 1 0 1 4 9 Find the nth term of this sequence. .................................................... [2]
Mark scheme: 5 ( n − 2 ) 2 oe 2 M1 for a quadratic expression
Question 6
6 (a) Expand and simplify. ( 2p - 7q)(p + q) .................................................... [2] (b) Factorise. 2 - t - 2a + at .................................................... [2]
Mark scheme: 6(a) 2 p 2 − 5 pq − 7 q 2 final answer 2 B1for three terms of 2 p 2 − 7 pq + 2 pq − 7 q 2 correct 6(b) (1 − a )( 2 − t ) oe 2 M1 for 2 – t – a(2 – t) or 2(1 – a) – t(1 – a)
Q7 · NOT TO SCALE O 140° x° y° O is the centre of the circle
7 NOT TO SCALE O 140° x° y° O is the centre of the circle. Find the value of x and the value of y. x = .................................................... y = .................................................... [2]
Mark scheme: 7 [x = ] 70 2 B1 for each [y = ] 110 If 0 scored SC1 for their x + their y =180
Q8 · Y varies inversely as x2
8 y varies inversely as x2. When x = 3, y = 4. Find y in terms of x. y = .................................................... [2]
Mark scheme: 8 36 2 k 2 M1 for y = oe or yx = k x 2 x 2
Q9 · Find the value of 27 2
39 (a) Find the value of 27 2. .................................................... [1] (b) Simplify 18h 18 ' 3 h 3 . .................................................... [2]
Mark scheme: 9(a) 9 1 9(b) 6h15 2 B1 for kh15 or 6h k
Q10 · V 2 = u 2 - 2as Find s in terms of a, u and v
10 v 2 = u 2 - 2as Find s in terms of a, u and v. s = .................................................... [2]
Mark scheme: 10 u 2 − v 2 2 M1 for correct rearrangement to isolate the s oe term 2 a or M1 for correct division by 2a or –2a
Q11 · In each Venn diagram, shade the region indicated
11 In each Venn diagram, shade the region indicated. U P Q U A B R (A B)' (P Q) R [2]
Mark scheme: 11 2 B1 for each
Question 12
12 (a) Simplify fully. 700 .................................................... [1] (b) Rationalise the denominator. 1 7 - 2 .................................................... [2]
Mark scheme: 12(a) 10 7 1 12(b) 7 + 2 2 7 + 2 M1 for 47 7 + 2
Question 13
13 Simplify fully. 3t - t 2 9 - t 2 .................................................... [3]
Mark scheme: 13 t 3 B1 for t(3 – t) final answer B1 for (3 – t)(3 + t) 3 + t
Q14 · Write down the value of log 9 3
14 (a) Write down the value of log 9 3 . .................................................... [1] (b) 2 log 2 + log 11 = logx . Find the value of x. x = .................................................... [2] Question 15 is printed on the next page.
Mark scheme: 14(a) 1 1 or 0.5 2 14(b) 44 2 M1 for correct use of 2log2 = log2 2 oe or for correct use of log p + log q = log pq
Q15 · B 8 cm NOT TO SCALE O A 4r The length of the arc AB = cm
15 B 8 cm NOT TO SCALE O A 4r The length of the arc AB = cm . 3 The area of the sector OAB is kr cm2 . Find the value of k. k = .................................................... [3]
Mark scheme: 15 64 3 x 4 π oe M1 for × π× 16 = oe 12 360 3 y 2 M1 for × π× 8 = k π oe 360 OR 4 π 3 M1 for oe 16 π kπ x 2 M1 for or × π× 8 = k π oe 8 2 π 360
What was in this paper
The subtopics covered by these 15 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
What you needed in this session
Cambridge’s own grade thresholds for 2018 May/June, Paper 2 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.