Cambridge IGCSE Mathematics - International 0607 — 2018 Oct/Nov Paper 2 · Variant 1
0607/21/O/N/18 · 18 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. - 7 # - 5 .................................................... [1]
Mark scheme: Question Answer Marks Partial Marks 1 35 1
Q2 · NOT TO SCALE x° 132° 156° Find the value of x
2 NOT TO SCALE x° 132° 156° Find the value of x. x = .................................................... [1]
Mark scheme: 2 72 1
Q3 · A bag contains 8 blue balls, 3 red balls and 4 green balls only
3 A bag contains 8 blue balls, 3 red balls and 4 green balls only. One ball is chosen at random. Find the probability that this ball is red. Give your answer as a fraction in its simplest form. .................................................... [2]
Mark scheme: 3 1 2 3 M1 for 5 15
Q4 · Write 3-2 as a fraction
4 Write 3-2 as a fraction. .................................................... [1]
Mark scheme: 4 1 1 9
Question 5
5 Solve. 6x - 5 = 19 x = .................................................... [2]
Mark scheme: 5 4 2 5 19 M1 for 6 x = 19 + 5 or x − = 6 6
Q6 · Find the lowest common multiple (LCM) of 12 and 15
6 Find the lowest common multiple (LCM) of 12 and 15. .................................................... [2]
Mark scheme: 6 60 2 M1 for 60n or 3 correct multiples of each of 12 and 15 seen or 12 × 15 ÷ 3 or 2 × 2 × 3 × 5
Q7 · Find the size of one exterior angle of a regular octagon
7 Find the size of one exterior angle of a regular octagon. .................................................... [2]
Mark scheme: 7 45 2 6 M1 for 360 ÷ 8 or 180 − × 180 8
Q8 · The point A has co-ordinates (1, 9)
8 The point A has co-ordinates (1, 9). The point B has co-ordinates (4, 5). Find the length of AB. .................................................... [2]
Mark scheme: 8 5 2 M1 for (1 − 4) 2 + (9 − 5) 2 oe
Question 9
9 Simplify. (5x 4 y 3) 2 .................................................... [2]
Mark scheme: 9 25x 8 y 6 2 M1 for ‘2 correct parts’
Q10 · List the integer values of x for which - 4 G 2x 1 6
10 List the integer values of x for which - 4 G 2x 1 6 . .................................................... [2]
Mark scheme: 10 −2, − 1, 0, 1, 2 2 M1 for 1 omission or 1 extra
Question 11
11 Simplify. 32 - 72 + 50 .................................................... [2]
Mark scheme: 11 3 2 2 M1 for 4 2 or 6 2 or 5 2
Q12 · Find the next term and an expression for the nth term of the following sequence
12 Find the next term and an expression for the nth term of the following sequence. -9, -3, 7, 21, 39, … next term = .................................................... nth term = .................................................... [3]
Mark scheme: 12 61 3 B1 for 61 2 n 2 − 11 M1 for an 2 + b , a ≠ 0
Q13 · The bearing of point B from point A is 234°
13 The bearing of point B from point A is 234°. Work out the bearing of point A from point B. .................................................... [2]
Mark scheme: 13 [0]54 2 M1 for 234 − 180
Q14 · Solve the simultaneous equations
14 Solve the simultaneous equations. 3x + 2y = 4 2x - 3y = 7 x = .................................................... y = .................................................... [4]
Mark scheme: 14 [ x = ] 2 4 M1 for correctly equating one set of [ y = ] − 1 coefficients or M1 for equation x = or y = from one equation M1 for correct substitution into other equation A1 for one correct value If 0 scored SC1 for correct substitution into one of original equations and evaluation
Question 15
15 Factorise. 4x 2 - 7x - 2 .................................................... [2]
Mark scheme: 15 (4 x + 1)( x − 2) 2 M1 for ( ax ± b )( cx ± d ) where two of ac = 4, bd = –2, ad + bc = –7 are correct. or M1 for 4x(x – 2) + x – 2 or x(4x + 1) – 2(4x + 1)
Q16 · A bag contains 4 red balls and 5 blue balls only
16 A bag contains 4 red balls and 5 blue balls only. Two balls are chosen at random without replacement. Find the probability that the two balls chosen are different colours. .................................................... [3]
Mark scheme: 16 40 5 3 4 5 oe M2 for × × 2 oe 72 9 9 8 4 5 or M1 for × oe 9 8
Q17 · Rationalise the denominator, giving your answer in its simplest form
17 Rationalise the denominator, giving your answer in its simplest form. 5 + 3 5 - 3 .................................................... [3]
Mark scheme: 17 (5 + 3) 2 14 + 5 3 3 (5 + 3) × (5 + 3) or M2 for 22 11 25 + 5 3 − 5 3 − ( 3) 2 5 + 3 5 + 3 as final answer or M1 for × 5 − 3 5 + 3
Q18 · The surface area of a sphere with radius r is equal to the curved surface area of a cone…
18 The surface area of a sphere with radius r is equal to the curved surface area of a cone with radius r and height h. Show that h = r k , where k is a constant. [4]
Mark scheme: 18 M2 M1 for l 2 = h 2 + r 2 or 4 πr 2 = πrl 4πr 2 = πr × h 2 + r 2 16r 2 = h 2 + r 2 leading to A1 Dep on M2 scored h = r 15 A1
What was in this paper
The subtopics covered by these 18 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 Oct/Nov, Paper 2 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.