Cambridge IGCSE Mathematics - International 0607 — 2024 May/June Paper 2 · Variant 1
0607/21/M/J/24 · 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
Question 1
1 Work out. 24 ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1 16 1
Q2 · Write as a percentage
2 (a) Write as a percentage. 25 ..............................................% [1] (b) Work out. 2 4 + 7 7 ................................................. [1]
Mark scheme: 2(a) 48 1 2(b) 6 1 oe 7
Question 3
3 Simplify. 3x - 2y + x + y ................................................. [2]
Mark scheme: 3 4x y final answer 2 B1 for each term
Q4 · Change 270 mm 2 into m2
4 Change 270 mm 2 into m2. ............................................ m2 [1]
Mark scheme: 4 0.00027[0] 1
Q5 · Write down the value of 90
5 Write down the value of 90. ................................................. [1]
Mark scheme: 5 1 1
Q6 · Find the lowest common multiple (LCM) of 24 and 60
6 Find the lowest common multiple (LCM) of 24 and 60. ................................................. [2]
Mark scheme: 6 120 2 M1 for 24 60 or 120k or 2 3 3 5 or 24 2 2 2 3 and 60 2 2 3 5 or 24 12 2 and 60 12 5 or correct factor trees for both or 2 lists of multiples up to at least 120
Q7 · Find the magnitude of
7 Find the magnitude of . - 3 Give your answer in its simplest surd form. ................................................. [2]
Mark scheme: 7 3 10 cao 2 M1 for 9 2 3 2
Q8 · Write in standard form
8 Write in standard form. (a) 3 706 000 ................................................. [1] (b) 0.001 010 ................................................. [1]
Mark scheme: 8(a) 3.706 10 6 final answer 1 8(b) 1.01[0] 103 1
Q9 · A is the point (1, 3) and B is the point (3, -7)
9 A is the point (1, 3) and B is the point (3, -7). The line l passes through A and is perpendicular to AB. Find the equation of line l. Give your answer in the form py + qx = r where p, q and r are integers. ................................................. [4]
Mark scheme: 9 5 y x 14 oe 4 Correct answer in the form py qx r p, q, r integers B3 for a correct equation in the wrong form 1 or B2 for y x k oe 5 7 3 M1 for [Grad ] oe 3 1 1 M1 for [Grad perp ] their gradient M1 for subst (their grad perp) and (1, 3) into y mx c oe
Q10 · The table shows the favourite colour of each of 80 people
10 The table shows the favourite colour of each of 80 people. Colour Red Blue White Green Silver Black Yellow Frequency 23 17 11 9 12 3 x (a) Find the value of x. ................................................. [1] (b) Find the relative frequency of silver, giving your answer as a fraction in its lowest terms. ................................................. [2]
Mark scheme: 10(a) 5 1 10(b) 3 2 12 cao B1 for oe 20 80
Question 11
11 (a) Simplify. 50 - 8 ................................................. [2] (b) By rationalising the denominator, simplify 12 . 7 - 3 ................................................. [3]
Mark scheme: 11(a) 3 2 cao 2 B1 for 5 2 or 2 2 11(b) 3 3 7 3 or 3 7 3 3 12 7 3 M2 for oe 7 7 7 3 7 3 3 3 7 3 or M1 for 7 3
Question 12
12 Factorise completely. x 3 y 2 - xy ................................................. [2]
Mark scheme: 12 2 2 2 2 2 3 xy x y 1 or xy 1 x y M1 for x ( x y y ) or y x y x final answer
Q13 · Sara has a bag containing 4 yellow balls and 5 white balls
13 Sara has a bag containing 4 yellow balls and 5 white balls. Sara takes a ball from the bag at random without replacement. She then takes a second ball from the bag at random. Find the probability that the two balls are different colours. ................................................. [3]
Mark scheme: 13 5 3 4 5 nfww oe final answer M2 for 2 oe 9 9 8 4 5 or M1 for oe 9 8
Q14 · Make x the subject of the formula
14 Make x the subject of the formula. p q = x x - 2 x = ................................................ [3]
Mark scheme: 14 2 p 2 p 3 M1 for correctly eliminating terms in x from [ x ] or [ x ] p q q p denominators final answer M1 for correctly rearranging their equation into the form x ( a b ) cp
Question 15
15 Simplify. 2 1 + 3 log 2 - 2 log 3 - 2 log 3 ................................................. [4] 16 Solve the equation. 4 ( cosx) 2 = 3 for 0° G x G 360°
Mark scheme: 15 log 20 cao 4 B1 for 1 log10 M1 for one correct use of log a b b log a oe M1 for one correct use of log a log b log ab
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 2024 May/June, Paper 2 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.