Cambridge IGCSE Mathematics - International 0607 — 2019 May/June Paper 2 · Variant 2
0607/22/M/J/19 · 19 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 · Y° NOT TO x° SCALE 65° Find the value of x and the value of y
1 y° NOT TO x° SCALE 65° Find the value of x and the value of y. x = .................................................... y = .................................................... [2]
Mark scheme: Question Answer Marks Partial Marks 1 [x = ] 65 2 B1 [y = ] 115 B1 FT 180 – their x
Q2 · A regular polygon has 40 sides
2 A regular polygon has 40 sides. Find the size of one exterior angle. .................................................... [2]
Mark scheme: 2 9 2 360 M1 for 40
Q3 · A is the point (1, 5) and B is the point (6, 2)
3 A is the point (1, 5) and B is the point (6, 2). Find the column vector AB. [2] f p
Mark scheme: 3 5 2 B1 for each − 3 − 3 If 0 scored, SC1 for 5
Q4 · T = 3p2 (a) Find the value of t when p = 4
4 t = 3p2 (a) Find the value of t when p = 4. t = .................................................... [1] (b) Re-arrange the formula to write p in terms of t. p = .................................................... [2]
Mark scheme: 4(a) 48 1 4(b) t 2 M1 for correct division M1 for correct square root, involving t 3
Q5 · 800 700 600 500 Cumulative frequency 400 300 200 100 0 0 10 20 30 40 50 Height (cm) The…
5 800 700 600 500 Cumulative frequency 400 300 200 100 0 0 10 20 30 40 50 Height (cm) The cumulative frequency curve shows some information about the heights of 800 plants. Find (a) the median, ............................................... cm [1] (b) the upper quartile. ............................................... cm [1]
Mark scheme: 5(a) 30 1 5(b) 34 1 Allow 33 – 35
Q6 · Work out ' 1
6 Work out ' 1 . 5 2 .................................................... [2]
Mark scheme: 6 8 2 4 2 8 15 M1 for × or for ÷ 15 5 3 10 10
Q7 · A car travels 85 km in 50 minutes
7 A car travels 85 km in 50 minutes. Find the average speed of the car, giving your answer in km/h. ............................................km/h [2]
Mark scheme: 7 102 2 85 M1 for [× 60 ] oe 50
Q8 · Solve the simultaneous equations
8 Solve the simultaneous equations. a + b = 16 2a - b = 17 a = .................................................... b = .................................................... [2]
Mark scheme: 8 [a = ] 11 2 B1 for each [b = ] 5 If 0 scored, SC1 for their values of a and b satisfying one equation
Q9 · Find the equation of the line parallel to the line y = 3 - x that passes through the…
9 Find the equation of the line parallel to the line y = 3 - x that passes through the point (0, 7). .................................................... [2] 1 -
Mark scheme: 9 y = 7 – x oe 2 B1 for y = k – x or for y = 7 – kx or for 7 – x
Q10 · Work out the value of
10 Work out the value of . 27 .................................................... [1]
Mark scheme: 10 3 1
Q11 · U P Q ...........
11 U P Q ............ ......... ............ 5 n(U) = 25 n(P) = 10 n(Q) = 17 n (P , Q ) l = 5 Complete the Venn diagram. [2]
Mark scheme: 11 3 7 10 2 B1 for 7 in correct place If B0, SC1 for 10 – k, k, 17 – k
Question 12
12 Factorise completely. ab - a - b + 1 .................................................... [2]
Mark scheme: 12 (b − 1)( a − 1) 2 M1 for a (b − 1) − (b − 1) or for b ( a − 1) − ( a − 1) or for either factor correct
Q13 · Work out 1.1 # 1030 + 1.1 # 1029 , giving your answer in standard form
13 Work out 1.1 # 1030 + 1.1 # 1029 , giving your answer in standard form. .................................................... [2]
Mark scheme: 13 1.21 × 10 30 2 B1 for figs 121 seen or for 0.11 × 1030 seen, or for 11 × 1029 seen
Q14 · Find the highest common factor (HCF) of 8p4q8 and 4p3q10
14 Find the highest common factor (HCF) of 8p4q8 and 4p3q10. .................................................... [2]
Mark scheme: 14 4p 3 q 8 2 B1 for kp 3 q 8 or 4 p k q 8 or 4 p 3 q k
Q15 · A° b° NOT TO SCALE 25° 80° The diagram shows a cyclic quadrilateral
15 a° b° NOT TO SCALE 25° 80° The diagram shows a cyclic quadrilateral. Find the value of a and the value of b. a = .................................................... b = .................................................... [2]
Mark scheme: 15 [a = ] 25 2 B1 for each [b = ] 100
Question 16
16 Rationalise the denominator. 1 5 - 1 .................................................... [2]
Mark scheme: 16 5 + 1 2 5 + 1 M1 for × 4 5 + 1
Q17 · Y is inversely proportional to x + 4
17 y is inversely proportional to x + 4 . When x = 5, y = 12. Find y in terms of x. y = .................................................... [2]
Mark scheme: 17 36 2 k M1 for 12 = x + 4 5 + 4
Question 18
18 Simplify. y 2 - 9 xy + 3x .................................................... [3] Question 19 is printed on the next page.
Mark scheme: 18 y − 3 3 B1 for ( y − 3)( y + 3) final answer x B1 for x ( y + 3)
Q19 · 2 log x = 3 log 4 Find the value of x
19 (a) 2 log x = 3 log 4 Find the value of x. x = .................................................... [2] (b) log x + log u - log v = log p Find p in terms of x, u and v. p = .................................................... [1]
Mark scheme: 19(a) 8 2 B1 for answer 23 or M1 for log( x 2 ) or for log(4 3 ) seen 19(b) xu 1 v
What was in this paper
The subtopics covered by these 19 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 2019 May/June, Paper 2 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.