Cambridge IGCSE Mathematics - International 0607 — 2023 Feb/March Paper 2 · Variant 2
0607/22/F/M/23 · 17 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 · 71 73 75 77 79 81 87 From this list of numbers write down (a) a prime number…
1 71 73 75 77 79 81 87 From this list of numbers write down (a) a prime number ................................................. [1] (b) a square number. ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1(a) 71 or 73 or 79 1 1(b) 81 1
Q2 · Work out 10% of 250
2 Work out 10% of 250. ................................................. [1]
Mark scheme: 2 25 1
Question 3
3 Work out. (a) .204 # 20 ................................................. [1] 0.09 (b) 0.003 ................................................. [1]
Mark scheme: 3(a) 40.8[0] 1 3(b) 30 or 3 101 1
Q4 · NOT TO SCALE 3x° 3x° 2x° The diagram shows three angles on a straight line
4 NOT TO SCALE 3x° 3x° 2x° The diagram shows three angles on a straight line. Find the value of x. x = ................................................. [2]
Mark scheme: 4 22.5 oe 2 M1 for 8x = 180 oe
Q5 · A bag contains 7 black balls, 2 red balls and 4 yellow balls
5 A bag contains 7 black balls, 2 red balls and 4 yellow balls. One ball is chosen at random from the bag. Find the probability that the ball chosen is yellow. ................................................. [1]
Mark scheme: 5 1 4 13
Question 6
6 Solve. 5x - 10 = 3 x - 6 x = ................................................ [2]
Mark scheme: 6 2 2 M1 for 5x − 3x = −+6 10 oe
Question 7
7 Solve. 4x - 3 H 9 ................................................. [2]
Mark scheme: 7 x 3 final answer 2 M1 for 4 x 9 + 3
Q8 · P = 2 # 103 q = 8 # 10 -5 Work out the following, giving each answer in standard form
8 p = 2 # 103 q = 8 # 10 -5 Work out the following, giving each answer in standard form. (a) pq ................................................. [2] p (b) q ................................................. [2]
Mark scheme: 8(a) 1.6 10−1 cao 2 B1 for correct answer not in standard form seen 8(b) 2.5 10 7 cao 2 B1 for correct answer not in standard form seen If 0 scored SC1 for figs 25 seen
Q9 · The size of one exterior angle of a regular polygon is 24°
9 The size of one exterior angle of a regular polygon is 24°. Find the number of sides of this polygon. ................................................. [2]
Mark scheme: 9 15 2 360 M1 for oe 24
Q10 · The point A has coordinates (2, 9) and the point B has coordinates (5, 3)
10 The point A has coordinates (2, 9) and the point B has coordinates (5, 3). Find the length of AB. Give your answer in surd form. ................................................. [3]
Mark scheme: 10 45 or 3 5 final answer 3 M2 for (5 − 2) 2 + (3 − 9) 2 oe or M1 for (5 − 2) or (3 − 9) oe
Q11 · Solve the simultaneous equations
11 Solve the simultaneous equations. 5x - 2y = 12 3x + 4y = 2 x = ................................................ y = ................................................ [3]
Mark scheme: 11 [ x =] 2 3 M1 for correct method to eliminate [ y =] − 1 one variable A1 for each If 0 scored SC1 for answers that satisfy one equation
Q12 · Expand the brackets and simplify
12 Expand the brackets and simplify. ( 4x - 3y)( 4x + 3y) ................................................. [2]
Mark scheme: 12 16 x 2 − 9 y 2 final answer 2 M1 for 3 terms correct of 16 x 2 + 12 xy − 12 xy − 9 y 2
Q13 · Shade the given sets in each of these Venn diagrams
13 Shade the given sets in each of these Venn diagrams. (a) Al , B l U A B [1] (b) ( A + B ) l U A B [1]
Mark scheme: 13(a) 1 13(b) 1
Q14 · Make x the subject of A =
14 Make x the subject of A = . x x = ................................................ [3]
Mark scheme: 14 3 y 3 M1 for correct elimination of x = oe fractions ( A − 3) M1 for correct collection of terms M1 for correct division of equation of form ( p + k ) x = q Only scores 3/3 for a correct answer
Question 15
15 Factorise. 5x 2 - xy - 4y 2 ................................................. [2]
Mark scheme: 15 (5 x + 4 y )( x − y ) oe 2 M1 for ( ax + b)(cx + d ) with two of ac = 5, bd = −4, ad + bc = −1 or 5 x ( x − y ) + 4 y ( x − y )
Q16 · The volume of a hemisphere with radius r cm is r cm 3
16 The volume of a hemisphere with radius r cm is r cm 3 . 3 Find the value of r. r = ........................................... cm [3] Question 17 is printed on the next page.
Mark scheme: 16 [ r = ] 2 3 3 32 M2 for r = or better 4 1 4 3 16 or M1 for π r = π oe 2 3 3
Q17 · An unbiased die is numbered 2, 3, 3, 4, 5, 6
17 An unbiased die is numbered 2, 3, 3, 4, 5, 6. Wendy rolls the die three times. Find the probability that Wendy rolls a prime number at least twice. ................................................. [4]
Mark scheme: 17 20 160 4 4 4 2 4 4 4 or oe M3 for 3 + oe 27 216 6 6 6 6 6 6 4 4 2 or M2 for 6 6 6 4 4 4 or 6 6 6 4 or M1 for 6
What was in this paper
The subtopics covered by these 17 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 2023 Feb/March, Paper 2 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.