Cambridge IGCSE Mathematics - International 0607 — 2020 May/June Paper 2 · Variant 2
0607/22/M/J/20 · 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 scheme5 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · 31 37 39 49 51 53 77 87 From this list write down all the prime numbers
1 31 37 39 49 51 53 77 87 From this list write down all the prime numbers. ................................................. [2]
Mark scheme: Question Answer Marks Partial Marks 1 31 37 53 2 B1 for a correct prime
Q2 · Work out 15% of 600
2 Work out 15% of 600. ................................................. [2]
Mark scheme: 2 90 2 M1 for 0.15 × 600 oe or B1 for a correct percentage stated, e.g. 10% = 60
Question 3
3 Work out. (a) 0.06 # 0 .12 ................................................. [1] (b) .023 ................................................. [1] 0.4 (c) 0.08 ................................................. [1]
Mark scheme: 3(a) 0.0072 oe 1 3(b) 0.008 oe 1 3(c) 5 1
Q4 · A bag contains red balls, blue balls and green balls only
4 A bag contains red balls, blue balls and green balls only. There are twice as many blue balls as green balls. There are twice as many red balls as blue balls. There are 16 blue balls in the bag. Find the total number of balls in the bag. ................................................. [2]
Mark scheme: 4 56 2 M1 for 32 or 8 seen
Q5 · Dippi buys 5 burgers and 4 bags of chips for a total cost of $8.10
5 Dippi buys 5 burgers and 4 bags of chips for a total cost of $8.10 . Burgers cost $1.10 each. Find the cost of one bag of chips. $ ............................................... [3]
Mark scheme: 5 0.65 3 8.10 −×5 1.1 M2 for oe 4 or M1 for 5 × 1.1
Q6 · NOT TO SCALE 3x° 4x° 2x° A B AB is a straight line
6 NOT TO SCALE 3x° 4x° 2x° A B AB is a straight line. Find the value of x. x = ................................................. [2]
Mark scheme: 6 20 2 180 M1 for 2 + 3 + 4
Q7 · Work out the following, giving each answer in standard form
7 Work out the following, giving each answer in standard form. (a) ( 4. 3 # 10 4 ) # ( 3 # 10 -4 ) ................................................. [2] (b) ( 6 # 10 -2 ) + ( 3 # 10 -3 ) ................................................. [2]
Mark scheme: 7(a) 1.29 × 10[1] 2 B1 for equivalent answer not in standard form or figs 129 7(b) 6.3 × 10− 2 2 B1 for equivalent answer not in standard form or figs 63
Q8 · Solve the simultaneous equations
8 Solve the simultaneous equations. 3x + 2y =- 1 7x - y = 26 x = ................................................. y = ................................................. [3]
Mark scheme: 8 [x =] 3 3 M1 for correct method to eliminate [y =] –5 one variable B1 for each If 0 scored, SC1 for their answers satisfying one equation
Q9 · The interior angle of a regular polygon is 150°
9 The interior angle of a regular polygon is 150°. Find the number of sides of this polygon. ................................................. [3]
Mark scheme: 9 12 3 360 M2 for oe 180 − 150 or M1 for 180 − 150
Q10 · Rearrange the formula to make x the subject
10 Rearrange the formula to make x the subject. y ( x + 4) = 2 x = ................................................. [2]
Mark scheme: 10 2 − 4y 2 2 2 x = oe or x = − 4 oe B1 for yx + 4 y = 2 or x + 4 = y y y
Q11 · Running Football 45° 60° Tennis Swimming The pie chart shows the favourite sports of all…
11 Running Football 45° 60° Tennis Swimming The pie chart shows the favourite sports of all the students at a school. 180 students chose running as their favourite sport. Work out (a) the total number of students at the school, ................................................. [1] (b) the number of students that chose football as their favourite sport. ................................................. [2]
Mark scheme: 11(a) 720 1 11(b) 330 2 M1 for 360 − (90 + 45 + 60)[×their ( a )] 360
Question 12
12 Factorise. 2x 2 - 3x - 5 ................................................. [2]
Mark scheme: 12 (2 x − 5)( x + 1) 2 M1 for (2 x + a )( x + b ) where ab = −5 or a + 2b = −3
Question 13
13 Solve. ( x - 4)( x + 3) 2 0 ................................................. [2]
Mark scheme: 13 x > 4, x < −3 2 B1 for each
Q14 · A is the point (1, 7) and B is the point (4, 13)
14 A is the point (1, 7) and B is the point (4, 13). Find the equation of the perpendicular bisector of AB in the form y = mx + c . y = ................................................. [5] Question 15 is printed on the next page.
Mark scheme: 14 [ y = ] − 0.5 x + 11.25 5 B1 (2.5, 10) seen − 7 M1 for gradient = 13 oe 4 − 1 M1 grad of perp = –1/their grad M1 for subst their grad and their (2.5, 10) into y = mx + c
Q15 · NOT TO SCALE 11 7 x Find the value of x
15 NOT TO SCALE 11 7 x Find the value of x. x = ................................................. [2]
Mark scheme: 15 2 2 2 2 M1 for 11 − 7
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.