Cambridge IGCSE Mathematics - International 0607 — 2017 May/June Paper 2 · Variant 1
0607/21/M/J/17 · 17 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 scheme4 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Question 1
1 Work out. (0.6) 2 ..................................................... [1]
Mark scheme: Question Answer Marks Part Marks 1 0.36 1
Q2 · Write the fraction in its lowest terms
2 (a) Write the fraction in its lowest terms. 60 ..................................................... [1] (b) Work out. 4 5 + 11 11 ..................................................... [1]
Mark scheme: 2(a) 4 1 cao 15 2(b) 9 1 oe 11
Question 3
3 Expand. x (x 3 - 4x) ..................................................... [2]
Mark scheme: 3 x 4 − 4 x 2 2 M1 for either term correct
Q4 · Change 430 cm 2 into m2
4 Change 430 cm 2 into m2. .............................................. m2 [1]
Mark scheme: 4 [0].043[0] 1
Q5 · Write down the value of 160
5 Write down the value of 160. ..................................................... [1]
Mark scheme: 5 1 1
Q6 · Find the lowest common multiple (LCM) of 20 and 24
6 Find the lowest common multiple (LCM) of 20 and 24. ..................................................... [2]
Mark scheme: 6 120 2 M1 for 120 ,n n > 1 or M1 for 40, 60, 80 and 24, 48, 72 seen or M1 for 2 × 2 × 5 and 2 × 2 × 2 × 3 soi
Q7 · F (x) = x 3 - 2 Find the value of x when f (x) = 25
7 f (x) = x 3 - 2 Find the value of x when f (x) = 25 . x = .................................................... [2]
Mark scheme: 7 3 2 M1 for x 3 = 27
Q8 · NOT TO 26 cm 24 cm SCALE x cm Find the value of x
8 NOT TO 26 cm 24 cm SCALE x cm Find the value of x. x = .................................................... [3]
Mark scheme: 8 10 3 2 2 M2 for 26 − 24 or M1 for x 2 + 24 2 = 26 2 or identifies 5, 12, 13 triangle
Q9 · Solve the simultaneous equations
9 Solve the simultaneous equations. 4x + 3y = 0 2x - y = 5 x = .................................................... y = ................................................... [3] J N
Mark scheme: 9 [ x =]1.5 3 M1 for correct method to eliminate one variable [ y =] − 2 B1 for x = 1.5 B1 for y = −2 If 0 scored SC1 for correct substitution into one of original equations and correct evaluation to find other variable
Q10 · P = KK OO 3 L P Find p , giving your answer in the form 3 a
10 p = KK OO 3 L P Find p , giving your answer in the form 3 a . ..................................................... [2]
Mark scheme: 10 3 5 2 M1 for 6 2 + 32 or better or M1 for a = 5
Q11 · A is the point (3, 11) and B is the point (7, 3)
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]
Mark scheme: 11 [ y = ] − 2 x + 17 oe 3 M2 for y = −2 x + k 11 − 3 or M1 for soi 3 − 7
Question 12
12 Solve. 2x 2 - 5x - 7 = 0 x = ........................... or x = ........................... [3]
Mark scheme: 12 7 3 M2 for (2 x − 7)( x + 1) x = , − 1 oe 2 or M1 for (2 x + a )( x + b ) where a + 2b = − 5 or ab = − 7 or M1 for 2 x ( x + 1) − 7( x + 1) or x (2 x − 7) + 1(2 x − 7)
Q13 · By rationalising the denominator, simplify 12
13 By rationalising the denominator, simplify 12 . 6 - 2 ..................................................... [3]
Mark scheme: 13 6 6 + 12 or 6( 6 + 2) 3 12( 6 + 2) M2 for or better 6 − 4 6 + 2 or M1 for oe seen 6 + 2
Q14 · A bag has 3 blue balls and 7 green balls only
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]
Mark scheme: 14 8 4 48 final answer B3 for oe 15 90 3 2 7 6 or M2 for × + × 10 9 10 9 3 2 7 6 or M1 for × or × 10 9 10 9
Q15 · Expand the brackets and simplify
15 Expand the brackets and simplify. (4x - 3y)(2x - 5y) ..................................................... [3]
Mark scheme: 15 8 x 2 − 26 xy + 15 y 2 final answer 3 M2 for 8 x 2 − 6 xy − 20 xy + 15 y 2 or M1 for 3 terms correct
Question 16
16 Simplify. 2 2 log 3 - 3 log 2 + 2 log 3 ..................................................... [3]
Mark scheme: 16 1 3 3 2 2 2 log or − log2 final answer or better M2 for log × 2 2 3 3 or M1 for one correct use of log rules.
Q17 · Write the list of numbers in order, starting with the smallest
17 Write the list of numbers in order, starting with the smallest. sin60° cos60° tan60° 2 ....................... 1 ....................... 1 ....................... 1 ....................... [2] smallest
Mark scheme: 17 cos60 sin60 2 tan60 2 B1 for 3 in correct ‘relative’ order
What was in this paper
The subtopics covered by these 17 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 2017 May/June, Paper 2 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.