Cambridge IGCSE Mathematics - International 0607 — 2022 Oct/Nov Paper 2 · Variant 1
0607/21/O/N/22 · 14 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. (a) 1 + 2 - 3 # 4 ................................................. [1] (b) 1 + 2 # 3 - 4 ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1(a) –9 1 1(b) 3 1
Q2 · Write 2 as an improper fraction
2 (a) Write 2 as an improper fraction. 4 ................................................. [1] (b) Work out. 7 3 - 8 4 ................................................. [1]
Mark scheme: 2(a) 9 1 4 2(b) 1 1 oe 8
Question 3
3 Expand. 3 ( x - 2y) ................................................. [1]
Mark scheme: 3 3 x − 6 y final answer 1
Q4 · Change 0.2 m 2 into cm2
4 Change 0.2 m 2 into cm2. ......................................... cm2 [1] 3
Mark scheme: 4 2000 1
Q5 · Work out 4 2
5 Work out 4 2. ................................................. [1]
Mark scheme: 5 8 1
Q6 · Work out ( 1.5 # 10 1 ) # (7 # 10 -3 )
6 (a) Work out ( 1.5 # 10 1 ) # (7 # 10 -3 ) . Give your answer in standard form. ................................................. [2] (b) Work out ( 6.5 # 10 -2 ) + ( 7.8 # 10 -3) . Give your answer in standard form. ................................................. [2]
Mark scheme: 6(a) 1.05 10−1 cao 2 M1 for equivalent non-standard form answer e.g. 10.5 10−2 6(b) 7.28 10−2 cao 2 M1 for figs 728 seen
Q7 · These are the scores of 10 students in a test
7 These are the scores of 10 students in a test. 15 5 20 25 7 13 15 11 17 12 Find (a) the range, ................................................. [1] (b) the mean. ................................................. [2]
Mark scheme: 7(a) 20 1 7(b) 14 2 M1 for (15 + 5 + 20 + 25 +….)/10
Q8 · Find an expression for the n th term of each sequence
8 Find an expression for the n th term of each sequence. (a) 1, 7, 13, 19, 25, … ................................................. [2] (b) 1, -2, 3, -4, 5, … ................................................. [2]
Mark scheme: 8(a) 6n − 5 oe final answer 2 M1 for 6n + k or kn − 5 8(b) ( −1)n +1 n oe final answer 2 B1 for ( −1)k oe
Q9 · E NOT TO SCALE A D F 73° 32° 85° B C BD is parallel to FAE
9 E NOT TO SCALE A D F 73° 32° 85° B C BD is parallel to FAE. (a) Find angle BAE. Angle BAE = ................................................ [1] (b) Find angle FAC. Angle FAC = ................................................ [2]
Mark scheme: 9(a) 107 1 9(b) 10 2 B1 for BAF = 73 or BAC = 63
Q10 · A is the point (1, 11) and B is the point (4, 5)
10 A is the point (1, 11) and B is the point (4, 5). Find the equation of the perpendicular bisector of AB. Give your answer in the form y = mx + c . y = ................................................ [5]
Mark scheme: 10 1 27 5 11 − 5 y = x + M1 for [ = −2] 2 4 1 − 4 1 M1 for Grad perp = − their ( −2) B1 for mid-point (2.5, 8) M1 for correct substitution of their mid-point and gradient into y = mx + c.
Question 11
11 Solve. (a) 4x 2 - 5x - 6 = 0 x = ........................ or x = ........................ [3] (b) 2x + 1 = 3 ................................................. [2]
Mark scheme: 11(a) 3 3 M2 for (4 x + 3)( x − 2) 2 , − oe 4 or M1 for ( ax + b)(cx + d ) where ac = 4 and bd = −6 OR 5 11 M2 for 8 −−( 5) ( −5) 2 −−4 4 ( 6) or M1 for condone 1 slip 2 4 11(b) –2, 1 2 B1 for each
Q12 · Bag A contains balls numbered 2, 4, 4, 4
12 Bag A contains balls numbered 2, 4, 4, 4. Bag B contains balls numbered 1, 1, 2, 3, 4, 4. Bag C contains balls numbered 1, 2, 3, 4. One of these three bags is chosen at random. A ball is chosen at random from this bag. Find the probability that the ball chosen is numbered 4. Give your answer as a fraction. ................................................. [3] Questions 13 and 14 are printed on the next page.
Mark scheme: 12 16 3 1 3 1 2 1 1 oe M2 for + + 36 3 4 3 6 3 4 1 2 1 2 1 1 or M1 for or or 3 4 3 6 3 4
Question 13
13 Solve. log 2x = 5 x = ................................................ [2]
Mark scheme: 13 50000 or 5 10 4 2 B1 for 2 x = 105
Q14 · NOT TO SCALE 6 cm 150° A sector of a circle with radius 6 cm has a sector angle of 150°
14 NOT TO SCALE 6 cm 150° A sector of a circle with radius 6 cm has a sector angle of 150°. Find the exact value of the area of the shaded region. Give your answer in its simplest form. ......................................... cm2 [4]
Mark scheme: 14 21π+9 or 3(7π+3) 4 M1 for 0.5 6 6 sin150 [ = 9] 150 2 210 2 M1 for π 6 [ = 15π] or π 6 [ = 21π] 360 360 M1 for 2 150 2 π 6 − {their ( π 6 ) − their (0.5 6 6 sin150)} 360 π 6 2 + 0.5 6 6 sin150 or their 210 360
What was in this paper
The subtopics covered by these 14 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 2022 Oct/Nov, Paper 2 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.