Cambridge IGCSE Mathematics - International 0607 — 2024 Oct/Nov Paper 2 · Variant 2
0607/22/O/N/24 · 18 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
Question 1
1 Complete the statement. The common factors of 24 and 45 are 1 and ............................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1 3 1
Q2 · Work out 2 ' 0.04
2 Work out 2 ' 0.04 . ................................................. [1]
Mark scheme: 2 50 1
Question 3
3 Expand. x 3 ( x - 2) ................................................. [2]
Mark scheme: 3 x 4 − 2 x 3 final answer 2 B1 for x 4 + kx c or kx − 2 x 3
Q4 · Alex invests $200 at a rate of 2% per year simple interest
4 Alex invests $200 at a rate of 2% per year simple interest. Work out the total interest earned at the end of 4 years. $ ................................................. [2]
Mark scheme: 4 16 final answer 2 200 2 4 M1 for oe 100
Q5 · Didi buys 2 books at $b each and p magazines at $m each
5 Didi buys 2 books at $b each and p magazines at $m each. Find an expression, in terms of b, p and m, for the total amount Didi pays. $ ................................................. [2]
Mark scheme: 5 2b + pm final answer 2 B1 for 2b + k or k + pm
Q6 · Rodrigo runs at an average speed of 10 km/h
6 (a) Rodrigo runs at an average speed of 10 km/h. Work out the number of minutes he takes to run 5 km. .......................................... min [1] (b) Roberta takes 1 hour 30 minutes to run 12 km. Work out Roberta’s average speed. ......................................... km/h [1]
Mark scheme: 6(a) 30 1 6(b) 8 1
Q7 · Each of 100 students records the time taken to walk one kilometre
7 Each of 100 students records the time taken to walk one kilometre. The cumulative frequency curve shows the results. 100 90 80 70 60 Cumulative 50 frequency 40 30 20 10 0 t 10 15 20 25 30 Time (minutes) Find (a) the median .......................................... min [1] (b) the lower quartile ......................................... min [1] (c) the number of students who took more than 20 minutes to walk one kilometre. ................................................. [2]
Mark scheme: 7(a) 15 1 7(b) 13.5 1 Allow 13–14 7(c) 12 2 B1 for 88 seen or M1 for (100 – their 88)
Question 8
8 Work out ' . 11 2 ................................................. [2]
Mark scheme: 8 6 2 3 2 6 11 M1 for or 11 11 1 22 22
Q9 · The interior angle of a regular polygon is 160°
9 The interior angle of a regular polygon is 160°. Work out the number of sides for this polygon. ................................................. [3]
Mark scheme: 9 18 3 M2 for 360 oe or 180( n − 2) = 160 n 180 − 160 or M1 for n − 2 180 − 160 or 180 = 160 n
Q10 · The mean of five numbers is 7
10 The mean of five numbers is 7. The five numbers are 3, 5, 10, 11 and x. Find the value of x. x = ................................................ [2] 2
Mark scheme: 10 6 2 M1 for 3 + 5 + 10 + 11 + x = 5 × 7 oe
Q11 · Simplify `64x 18j 3
11 Simplify `64x 18j 3 . ................................................. [2]
Mark scheme: 11 16x12 final answer 2 B1 for kx12 or 16 kx
Q12 · B C x° NOT TO A O SCALE 260° A, B and C lie on the circle centre O
12 B C x° NOT TO A O SCALE 260° A, B and C lie on the circle centre O. (a) Work out the value of x. x = ................................................ [2] (b) Y is a point on the minor arc BYC. Work out angle BYC. Angle BYC = ................................................ [1]
Mark scheme: 12(a) 50 2 B1 for 100˚ seen at O 12(b) 130 1 FT 180 – their (a)
Question 13
13 Simplify fully. 20 + 45 + 8 0 ................................................. [2]
Mark scheme: 13 9 5 final answer 2 B1 for 2 5 or 3 5 or 4 5 seen
Q14 · C R NOT TO SCALE A B P Q The triangles ABC and PQR are similar
14 C R NOT TO SCALE A B P Q The triangles ABC and PQR are similar. The area of triangle ABC is 24 cm2. PQ 1 = AB 2 Work out the area of triangle PQR. .......................................... cm2 [2]
Mark scheme: 14 6 2 2 1 M1 for or 22 seen 2
Q15 · X 2 + 18x + 2 = ( x + p) 2 + t Find the value of p and the value of t
15 x 2 + 18x + 2 = ( x + p) 2 + t Find the value of p and the value of t. p = ................................................ t = ................................................ [3]
Mark scheme: 15 [ p = ] 9 3 B2 for one correct [ t = ] –79 or B1 for ( x + 9) 2 seen or for x2 + 2px + p2 + t oe
Q16 · Y varies inversely as x
16 y varies inversely as x. When x = 4 , y = 8 . Find y in terms of x. y = ................................................ [2] Questions 17 and 18 are printed on the next page.
Mark scheme: 16 16 2 k M1 for oe x x
Q17 · Cosx =- and 0° G x G 360°
17 cosx =- and 0° G x G 360° . 2 Find the values of x. x = .................. or x = .................. [2]
Mark scheme: 17 150 2 B1 for each 210 If 0 scored SC1 for 30 seen
Q18 · Log 4 + 2 logx = 2 Find the value of x
18 log 4 + 2 logx = 2 Find the value of x. x = ................................................ [3]
Mark scheme: 18 5 cao 3 B1 for 100 M1 for one correct use of log rules
What was in this paper
The subtopics covered by these 18 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 2024 Oct/Nov, Paper 2 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.