Cambridge IGCSE Mathematics - International 0607 — 2017 Oct/Nov Paper 2 · Variant 2
0607/22/O/N/17 · 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 scheme4 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · E D C 140° NOT TO SCALE X 100° w° A B The diagram shows two parallel lines with two…
1 E D C 140° NOT TO SCALE X 100° w° A B The diagram shows two parallel lines with two straight lines crossing. Find the value of w. w = ................................................... [2]
Mark scheme: Question Answer Marks Partial Marks 1 120 2 B1 for any correct angle marked on the diagram or stated oe
Q2 · The volume of a cube is 27 cm3
2 The volume of a cube is 27 cm3. Find the total surface area. ............................................. cm2 [2]
Mark scheme: 2 54 2 B1 for [side = ] 3 or better
Q3 · Find the highest common factor (HCF) of 30, 48 and 66
3 Find the highest common factor (HCF) of 30, 48 and 66. .................................................... [1]
Mark scheme: 3 6 1
Q4 · F(x) = 2x - 3 Find the range of f(x) for the domain {0, 1, 2}
4 f(x) = 2x - 3 Find the range of f(x) for the domain {0, 1, 2}. {................................................. } [1]
Mark scheme: 4 – 3, – 1, 1 1
Q5 · A B NOT TO SCALE 10 cm √ 91 cm C Work out the length of AB
5 A B NOT TO SCALE 10 cm √ 91 cm C Work out the length of AB. AB = .............................................. cm [3]
Mark scheme: 5 3 3 2 M2 for 10 − 91 or M1 for AB2 + 91 = 102 or better
Q6 · Y = 2x2 - 1 Rearrange the formula to write x in terms of y
6 y = 2x2 - 1 Rearrange the formula to write x in terms of y. x = .................................................... [3]
Mark scheme: 6 y + 1 3 M1 for correct rearrangement [ ± ] oe M1 for correct division by 2 2 M1 for correct square root
Q7 · Change 20 m/s into km/h
7 (a) Change 20 m/s into km/h. ........................................... km/h [2] (b) A train travels at 20 m/s for 45 minutes. Work out the distance travelled. Give your answer in kilometres. .............................................. km [2]
Mark scheme: 7(a) 72 2 M1 for × 60 × 60 ÷ 1000 7(b) 54 2 FT their (a) × 0.75 M1 for × 45 ÷ 60 oe
Question 8
8 Work out (3. 2 # 10 20) + ( 2. 3 # 1021 ) , giving your answer in standard form. ..................................................... [2]
Mark scheme: 8 2.62 × 10 21 2 M1 for 0.32 × 10 21 or 23 × 10 20 or figs 262
Q9 · Find the value of (0.1)2
9 Find the value of (0.1)2. ..................................................... [1]
Mark scheme: 9 [0].01 oe 1
Q10 · D 9x° A C NOT TO SCALE 130° E 6x° B ABCD is a cyclic quadrilateral
10 D 9x° A C NOT TO SCALE 130° E 6x° B ABCD is a cyclic quadrilateral. DC is extended to E. Angle BCE = 130°, angle ABC = 6x° and angle ADC = 9x°. Find the value of (a) angle BAD, Angle BAD = .................................................... [1] (b) angle ABC. Angle ABC = .................................................... [2]
Mark scheme: 10(a) 130 1 10(b) 72 2 M1 for 6x + 9x = 180 oe implied by 12 seen
Question 11
11 Simplify. 12x 12 (a) 4 4x .................................................... [2] 1 4 (b) (16x 16 ) .................................................... [2]
Mark scheme: 11(a) 3x 8 2 B1 for 3 kx or kx 8 , k ≠ 0 11(b) 2x 4 2 B1 for 2 kx or kx 4 , k ≠ 0
Q12 · Y is proportional to
12 y is proportional to . x When x = 4, y = 2. Find y when x = 64. y = .................................................... [3]
Mark scheme: 12 0.5 oe 3 k M1 for y = oe x A1 for k = 4 OR y 4 M2 for = or better 2 64
Q13 · Simplify 18 + 72
13 (a) Simplify 18 + 72 . .................................................... [2] (b) Rationalise the denominator. 1 5 + 2 .................................................... [2]
Mark scheme: 13(a) 9 2 2 B1 for 3 2 or 6 2 13(b) 5 − 2 2 5 − 2 M1 for × 5 − 2
Question 14
14 Simplify. x 2 - x x 2 - 1 .................................................... [3] Questions 15 and 16 are printed on the next page.
Mark scheme: 14 x 3 B1 for x ( x − 1) final answer x + 1 B1 for ( x − 1)( x + 1)
Q15 · Logk = 2log3 - 5log2 Find the value of k
15 (a) logk = 2log3 - 5log2 Find the value of k. k = .................................................... [2] (b) log2 p = -1 Find the value of p. p = .................................................... [1]
Mark scheme: 15(a) 9 2 M1 for correct use of a log b = log b a 32 p or log p − log q = log q 15(b) 0.5 oe 1
Q16 · I is an acute angle and tan i = 3
16 i is an acute angle and tan i = 3 . Write down the value of i. i = .................................................... [1]
Mark scheme: 16 60 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 2017 Oct/Nov, Paper 2 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.