Cambridge IGCSE Mathematics - International 0607 — 2021 May/June Paper 2 · Variant 2
0607/22/M/J/21 · 16 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 . .0004 ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1 900 1
Q2 · These are the masses, in kilograms, of 16 newborn babies
2 These are the masses, in kilograms, of 16 newborn babies. 2.5 3.2 3.8 3.2 1.9 3.4 1.7 4.1 3.0 2.8 4.0 2.7 3.9 2.7 4.1 3.7 Complete the ordered stem-and-leaf diagram for the masses. 1 2 3 4 Key: 3 | 2 = 3.2 [2]
Mark scheme: 2 1 7 9 2 B1 for 12 or more correct 2 5 7 7 8 or all values in correct rows but unordered. 3 0 2 2 4 7 8 9 4 0 1 1
Q3 · Work out 2 ' 3
3 Work out 2 ' 3 . 2 4 Give your answer as a fraction in its simplest form. ................................................. [3]
Mark scheme: 3 10 3 5 4 final answer B2 for equivalent fraction or × 13 2 13 10 13 or ÷ 4 4 5 13 or B1 for and soi 2 4
Q4 · Insert two pairs of brackets to make this statement correct
4 Insert two pairs of brackets to make this statement correct. 3 # 7 - 3 + 4 # 2 = 32 [1]
Mark scheme: 4 (3 × (7 – 3) + 4) × 2 = 32 1
Q5 · E F NOT TO SCALE 115° 40° A B C D ABCD is a straight line and BE is parallel to CF
5 E F NOT TO SCALE 115° 40° A B C D ABCD is a straight line and BE is parallel to CF. Find angle ECF. Angle ECF = ................................................. [2]
Mark scheme: 5 75 2 B1 for angle EBC or angle FCD = 65 or for angle BCF = 115 or for angle BEC = 75
Q6 · Factorise a 2 - b 2
6 (a) Factorise a 2 - b 2 . ................................................. [1] (b) Work out 5.37 2 - 4. 63 2 . ................................................. [2]
Mark scheme: 6(a) (a + b)(a – b) final answer 1 6(b) 7.4 2 M1 for (5.37 + 4.63)( 5.37 – 4.63) or better
Q7 · Solve 2x + 3 1 5x - 12
7 Solve 2x + 3 1 5x - 12 . ................................................. [2]
Mark scheme: 7 x > 5 2 M1 for 3 + 12 < 5x – 2x oe If 0 scored, SC1 for x * 5.
Q8 · Expand and simplify ( 2 3 - 5 )( 4 + 3 )
8 Expand and simplify ( 2 3 - 5 )( 4 + 3 ) . ................................................. [2]
Mark scheme: 8 3 3 – 14 or–14 + 3 3 2 B1 for 3 3 + k or k 3 – 14 or 8 3 + 6 – 20 – 5 3
Q9 · NOT TO SCALE A 84° B The diagram shows part of polygon A and part of polygon B
9 NOT TO SCALE A 84° B The diagram shows part of polygon A and part of polygon B. A is a regular polygon with n sides. B is a regular hexagon. Find the value of n. n = ................................................. [3]
Mark scheme: 9 15 3 B1 for 120° or 60° M1 for 360 = n(84 – their 60) or better ( n − 2)180 or = 360 – (84 + their 120) n
Q10 · C = 4 # 107 d = 5.8 # 106 Work out, giving your answers in standard form, (a) c2…
10 c = 4 # 107 d = 5.8 # 106 Work out, giving your answers in standard form, (a) c2 , ................................................. [2] (b) c - d . ................................................. [2]
Mark scheme: 10(a) 1.6 × 1015 2 B1 for equivalent 10(b) 3.42 × 107 2 B1 for figs 342
Q11 · Y = x + 3 Rearrange the formula to make x the subject
11 y = x + 3 Rearrange the formula to make x the subject. x = ................................................. [3]
Mark scheme: 11 2 − 3y 2 3 M1 for y(x + 3) = 2 oe or − 3 oe final answer M1FT for xy = 2 – 3y oe y y OR 2 M2 for = x + 3 y
Q12 · NOT TO SCALE 6 cm x° The area of this sector is 5r cm 2
12 NOT TO SCALE 6 cm x° The area of this sector is 5r cm 2 . Find the value of x. x = ................................................. [3]
Mark scheme: 12 50 3 x 2 M2 for × π × 6 = 5π oe 360 x or M1 for 360
Q13 · The heights, h cm, of 100 plants are measured
13 The heights, h cm, of 100 plants are measured. The table shows the results. Height, h cm Frequency 0 1 h G 40 15 40 1 h G 80 40 80 1 h G 120 45 Calculate an estimate for the mean height of the plants. ............................................ cm [3]
Mark scheme: 13 72 3 15 × 20 + 40 × 60 + 45 × 100 M2 for 100 or M1 for their (20) × 15 + their (60) × 40 + their (100) × 45 100 or use correct mid-points but not totalled
Q14 · NOT TO SCALE k 3 cm 30° 12 cm Find the value of k
14 NOT TO SCALE k 3 cm 30° 12 cm Find the value of k. k = ................................................. [3] Questions 15 and 16 are printed on the next page.
Mark scheme: 14 4 3 k 3 M1 for = tan 30 12 1 B1 for tan 30 = soi 3
Q15 · Y 11 10 9 8 7 6 5 4 3 2 1 – 3 – 2 – 1 0 1 2 3 4 5 6 7 8 9 10 11 x – 1 – 2 – 3 The diagram…
15 y 11 10 9 8 7 6 5 4 3 2 1 – 3 – 2 – 1 0 1 2 3 4 5 6 7 8 9 10 11 x – 1 – 2 – 3 The diagram shows the line x + y = 8 . On the diagram, show clearly the region defined by these inequalities. x + y G 8 x H 2 y G 3 [2] 2
Mark scheme: 15 Correct diagram 2 B1 for x = 2 and y = 3 drawn 12 11 10 9 8 7 6 5 4 3 2 1 -3 -2 -1 O 1 2 3 4 5 6 7 8 9 10 11 12 -1 -2 -3
Question 16
16 Simplify 2 . x - 2 x - 3 ................................................. [3]
Mark scheme: 16 xy 3 B1 for xy(x – 3) final answer B1 for (x – 3)(x + 1) x + 1
What was in this paper
The subtopics covered by these 16 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 2021 May/June, Paper 2 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.