Cambridge IGCSE Mathematics - International 0607 — 2017 May/June Paper 2 · Variant 2
0607/22/M/J/17 · 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 scheme4 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Write 5.309 87 correct to 3 decimal places
1 (a) Write 5.309 87 correct to 3 decimal places. ..................................................... [1] (b) Write 0.003 648 9 correct to 3 significant figures. ..................................................... [1]
Mark scheme: Question Answer Marks Partial Marks 1(a) 5.310 1 1(b) [0].00365 1
Q2 · These are the number of points The Storm have scored in their last 20 basketball matches
2 These are the number of points The Storm have scored in their last 20 basketball matches. 28 33 49 37 26 54 46 48 53 34 26 17 46 41 52 48 37 30 45 53 (a) Construct an ordered stem and leaf diagram to show these scores and complete the key. ....................................................................... ....................................................................... ....................................................................... ....................................................................... ....................................................................... Key ....... │ ....... = 53 [3] (b) Find the median score. ..................................................... [1]
Mark scheme: 2(a) 1 7 3 B2 for all elements correct 2 6 6 8 or B1 for all 'correct' but unordered or 1 or 2 3 0 3 4 7 7 missing or wrongly placed or extra element(s) 4 1 5 6 6 8 8 9 5 2 3 3 4 Key 5│3 = 53 B1 for key 2(b) 43 1
Question 3
3 Factorise completely. 6x 2 - 2x ..................................................... [2]
Mark scheme: 3 2x(3x – 1) final answer 2 B1 for 2(3x² – x) or x(6x – 2)
Q4 · Complete this statement for the parallelogram shown
4 Complete this statement for the parallelogram shown. This shape has ................. lines of symmetry and rotational symmetry of order ................. . [2]
Mark scheme: 4 0 2 B1 for each (must be correct order) 2
Q5 · Simplify 4 (2x - 1) - 3 (x - 2)
5 Simplify 4 (2x - 1) - 3 (x - 2) . ..................................................... [2]
Mark scheme: 5 5x + 2 final answer 2 B1 for ax + 2 or 5x + b
Q6 · A NOT TO SCALE B 9 cm C 6 cm D AD is an arc of a circle, centre C, and BCD is a straight…
6 A NOT TO SCALE B 9 cm C 6 cm D AD is an arc of a circle, centre C, and BCD is a straight line. BC = 9 cm , CD = 6 cm and angle A C D = 90 ° . Find the total area of the shape ABCD. Give your answer in terms of r. ............................................. cm2 [3]
Mark scheme: 6 27 + 9π or 9(3 + π) or 3(9 + 3π) 3 1 M1 for × 9 × 6 oe 2 1 M1 for × π × 6² oe 4
Q7 · 3x + 2 H 5x - 6 (a) Solve the inequality
7 3x + 2 H 5x - 6 (a) Solve the inequality. ..................................................... [2] (b) Show your solution to part (a) on this number line. x –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 [1]
Mark scheme: 7(a) x ⩽ 4 or 4 ⩾ x 2 M1 for 2 + 6 ⩾ 5x – 3x oe If 0 scored, SC1 for x = 4, x < 4, x > 4, x ⩾ 4 7(b) Correct FT from(a) on number line 1 FT dep on inequality as answer to (a)
Q8 · A NOT TO SCALE D B C ADC is a straight line and angle BAC = angle DBC
8 A NOT TO SCALE D B C ADC is a straight line and angle BAC = angle DBC. (a) Complete the following statement. Triangle ACB is similar to triangle ................................... . [1] (b) BC = 6 cm and CD = 4 cm . Calculate the length AC. AC = ............................................. cm [2]
Mark scheme: 8(a) BCD 1 Must be that order 8(b) 9 2 x 6 M1 for = oe 6 4
Q9 · In each diagram, shade the region indicated
9 (a) In each diagram, shade the region indicated. U A U B B A C A + B l (A , C ) + B l [2] (b) Use set notation to describe the shaded region. U A B C ..................................................... [1]
Mark scheme: 9(a) 2 B1 for each 9(b) A ∩ B ∩ C' oe 1
Q10 · Expand the brackets and simplify
10 Expand the brackets and simplify. (2x - 3y)(3x - 4y) ..................................................... [3]
Mark scheme: 10 6x² – 17xy + 12y² final answer 3 B2 for 6x² – 8xy – 9xy + 12y² or B1 for 3 terms correct
Q11 · Sketch the graph of y = x + 2
11 Sketch the graph of y = x + 2 . y 4 2 x 0 –4 –2 2 4 –2 –4 [3]
Mark scheme: 11 3 B2 for basic shape with cusp on –ve x-axis or B1 for a basic ‘v’ shape modulus graph 2 –2
Q12 · A NOT TO 35° SCALE E B 15° D C A, B, C, D and E are points on the circle
12 A NOT TO 35° SCALE E B 15° D C A, B, C, D and E are points on the circle. Angle CAD = 35° and angle EBD = 15° . Find (a) angle CBD, Angle CBD = .................................................... [1] (b) angle CDE. Angle CDE = .................................................... [1]
Mark scheme: 12(a) 35 1 12(b) 130 1 FT 165 – their (a)
Q13 · P = 5 + 2 3 q = 5 - 2 3 Find p 2 - q 2 , writing your answer in its simplest form
13 p = 5 + 2 3 q = 5 - 2 3 Find p 2 - q 2 , writing your answer in its simplest form. ..................................................... [3]
Mark scheme: 13 40 3 3 M1 for (p + q)(p – q) soi A1 for p + q = 10 or p – q = 4 3 OR B1 for 37 + 20 3 oe B1 for 37 – 20 3 OR B2 for 10 3 +10 3 +10 3 +10 3
Q14 · Find the value of x when 5 log 2 - log 8 = logx
14 Find the value of x when 5 log 2 - log 8 = logx . x = .................................................... [2] Question 15 is printed on the next page.
Mark scheme: 14 4 2 a M1 for log 25 or log or 3log2 or log23 8
Q15 · Y (4, 12) NOT TO x SCALE (–2, 0) 0 (3, 0) The equation of this curve is y = ax 2 + bx + c
15 y (4, 12) NOT TO x SCALE (–2, 0) 0 (3, 0) The equation of this curve is y = ax 2 + bx + c . Find the values of a, b and c. a = .................................................... b = .................................................... c = .................................................... [3]
Mark scheme: 15 a = 2 3 B2 for 2 correct b = – 2 or M2 for k(x + 2)(x – 3) and substitution of c = –12 (4, 12) or M1 for (x + 2)(x – 3) soi by a = 1, b = –1, c = –6 or three correct equations in a, b, c If 0 scored, B1 for 1 correct.
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 2017 May/June, Paper 2 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.