Cambridge IGCSE Mathematics - International 0607 — 2020 Oct/Nov Paper 2 · Variant 3
0607/23/O/N/20 · 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 · Work out ( 0.2) 3
1 Work out ( 0.2) 3. ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1 0.008 1
Question 2
2 Solve the equation. 2x - 7 =- 3 x = ................................................. [2]
Mark scheme: 2 2 2 M1 for 2x = –3 + 7 or –7 + 3 = –2x or better
Question 3
3 Work out ' . 6 16 Give your answer as a fraction in its lowest terms. ................................................. [2]
Mark scheme: 3 8 2 5 16 40 45 M1 for × or ÷ oe 9 6 15 48 48
Q4 · Find the integer values of x when - 1 G x 1 3
4 Find the integer values of x when - 1 G x 1 3 . ................................................. [2]
Mark scheme: 4 –1, 0, 1, 2 2 B1 for one error or omission
Q5 · Solve the simultaneous equations
5 Solve the simultaneous equations. 2p - 3q = 7 p + 3q = 2 p = ................................................. q = ................................................. [2]
Mark scheme: 5 [p =] 3 2 B1 each 1 If 0 scored SC1 for correct substitution and [q =] − oe evaluation of the other variable 3
Q6 · Find the area of the sector
6 Find the area of the sector. Give your answer, in terms of r, in its simplest form. 8 cm NOT TO SCALE 45° 8 cm .......................................... cm2 [2]
Mark scheme: 6 8π 2 45 2 M1 for × π × 8 360
Q7 · Find, as a fraction, the value of siny
7 Find, as a fraction, the value of siny. NOT TO 5 cm SCALE y 12 cm siny = ................................................. [3]
Mark scheme: 7 5 3 M1 for 52 + 122 5 13 M1 for if from Pythagoras their13
Q8 · Find the value of 1 -3 (a) , b 2 l ................................................
8 Find the value of 1 -3 (a) , b 2 l ................................................. [1] (b) log 5 125 . ................................................. [1]
Mark scheme: 8(a) 8 cao 1 8(b) 3 cao 1
Q9 · Simplify 4x 4 # 5x 5
9 Simplify 4x 4 # 5x 5 . .................................................. [2]
Mark scheme: 9 20x 9 2 B1 for kx 9 or 20 kx
Q10 · J = m ( k 2 + h 2 ) Rearrange the formula to make h the subject
10 J = m ( k 2 + h 2 ) Rearrange the formula to make h the subject. h = ................................................. [3]
Mark scheme: 10 2 3 M1 for correct division by m J − mk J 2 [ ± ] or [ ± ] − k M1 for correct rearrangement for h or h2 term m m M1 for correct square root final answer
Q11 · NOT TO SCALE x cm 8 cm 60° 10 cm Find the value of x2
11 NOT TO SCALE x cm 8 cm 60° 10 cm Find the value of x2. x2 = ................................................ [3]
Mark scheme: 11 84 3 B1 for [cos 60 =] 0.5 soi M1 for 82 + 102 – 2 × 8 × 10cos60
Q12 · 56° A NOT TO SCALE y° C B In the diagram, A, B and C are points on parallel lines
12 56° A NOT TO SCALE y° C B In the diagram, A, B and C are points on parallel lines. AC = BC . Work out the value of y. y = ................................................. [3]
Mark scheme: 12 68 3 M1 for correct use of parallel lines to give a correct angle at B or C. M1 for correct use of isosceles triangle
Q13 · 2 3 - 3 2 = p + q 6 Find the value of p and the value of q
13 2 3 - 3 2 = p + q 6 Find the value of p and the value of q. p = ................................................. q = ................................................. [3]
Mark scheme: 13 [p =] 30 3 B2 for either [q =] –12 or B1 for 12 − 6 6 − 6 6 + 18 oe
Q14 · Y varies inversely as x - 3
14 y varies inversely as x - 3 . When x = 1, y = 4 . Find y in terms of x. y = ................................................. [2]
Mark scheme: 14 16 2 k y = 2 M1 for y = 2 oe ( x − 3 ) ( x − 3 )
Q15 · Log x = 2 log 3 - 5 log 2 Find the value of x
15 log x = 2 log 3 - 5 log 2 Find the value of x. x = ................................................. [2]
Mark scheme: 15 9 2 M1 for correct use of nlogx = logxn or correct p 32 use of log p − log q = log q
Q16 · A is acute and tan a = x
16 a is acute and tan a = x . Find, in terms of x, (a) tan ( 180 - a) , tan ( 180 - a) = ................................................. [1] (b) tan ( 90 - a) . tan ( 90 - a) = ................................................ [1] Question 17 is printed on the next page.
Mark scheme: 16(a) –x 1 16(b) 1 1 x
Question 17
17 Simplify. 3x - 6y - ax + 2ay x 3 - 2x 2 y ................................................. [4]
Mark scheme: 17 3 − a 4 B2 for ( x − 2 y )(3 − a ) x 2 or B1 for x (3 − a ) − 2 y (3 − a ) or 3( x − 2 y ) − a ( x − 2 y ) B1 for x 2( x − 2 y )
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 2020 Oct/Nov, Paper 2 · Variant 3. A higher threshold means an easier paper — the bar moves with how the cohort did.