Cambridge IGCSE Mathematics - International 0607 — 2023 Oct/Nov Paper 2 · Variant 2
0607/22/O/N/23 · 16 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 - 45 ' - 15
1 Work out - 45 ' - 15. ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1 3 1
Q2 · Write 4049 correct to 2 significant figures
2 Write 4049 correct to 2 significant figures. ................................................. [1]
Mark scheme: 2 4000 1
Q3 · Solve 7x - 5 = 37
3 Solve 7x - 5 = 37. x = ................................................ [2]
Mark scheme: 3 6 2 M1 for 7 x = 37 + 5
Q4 · Find 2% of $400
4 Find 2% of $400. $ ................................................. [1]
Mark scheme: 4 8 1
Q5 · This is a list of test grades
5 This is a list of test grades. 7 7 5 3 4 3 3 7 1 7 2 7 (a) Find the mode. ................................................. [1] (b) Find the range. ................................................. [1]
Mark scheme: 5(a) 7 1 5(b) 6 1
Question 6
6 (a) Work out - . 4 5 ................................................. [2] 3 2 (b) Work out 2 # 2 . 4 3 Give your answer as a mixed number in its simplest form. ................................................. [3]
Mark scheme: 6(a) 11 2 M1 for common denominator with one oe numerator correct. 20 6(b) 1 3 11 8 7 cao M2 for oe 3 4 3 or M1 for one correct improper fraction
Q7 · Write down an irrational number between 3 and 4
7 Write down an irrational number between 3 and 4. ................................................. [1]
Mark scheme: 7 an irrational number between 3 and 4 1 e.g. π, √10 etc.
Q8 · Work out the highest common factor (HCF) of 60 and 42
8 Work out the highest common factor (HCF) of 60 and 42. ................................................. [1]
Mark scheme: 8 6 1
Q9 · Expand 3p 2 ( 4 - 3p)
9 Expand 3p 2 ( 4 - 3p). ................................................. [2]
Mark scheme: 9 12p2 – 9p3 final answer 2 2 3 2 3 M1 for either 12 p + kp or kp − 9 p
Q10 · P is the point (-5, 3) and Q is the point (2, -1)
10 (a) P is the point (-5, 3) and Q is the point (2, -1). Find the coordinates of the mid-point of PQ. (....................... , ......................) [2] (b) Line L is perpendicular to the line y = 3x - 2. The point (6, 1) is on line L. Find the equation of line L. Give your answer in the form y = mx + c. y = ................................................ [3]
Mark scheme: 10(a) 3 2 B1 for each − , 1 oe 2 10(b) 1 3 1 y = − x + 3 B1 for gradient − 3 3 M1 for correct substitution of (6, 1) into y = (their m) x + c m 3
Q11 · On the Venn diagram, shade ( A , B ) l
11 (a) On the Venn diagram, shade ( A , B ) l. U A B [1] (b) Use set notation to describe the shaded region. U P Q ................................................. [1] (c) There are 35 students in a class. The students are asked if they like athletics (A) or cricket (C ). n(A) = 15 n(C ) = 14 n ( A + C ) = 5 Complete the Venn diagram below by writing the number of elements in each subset. U A C [2]
Mark scheme: 11(a) 1 11(b) P Q ' 1 11(c) 2 B1 for 2 correctly placed numbers U A C 10 5 9 11
Q12 · Solve x 2 - 2x - 6 = 0
12 Solve x 2 - 2x - 6 = 0. Give your answer in the form a ! b where a and b are integers. ................................................. [3]
Mark scheme: 12 1 7 3 2 28 M2 for 2 −−( 2) ( −2) 2 −−4 1 ( 6) or M1 for 2 1
Q13 · Find the magnitude of the vector
13 Find the magnitude of the vector . 8 ................................................. [2]
Mark scheme: 13 10 2 M1 for ( −6) 2 + 8 2 or better
Q14 · Solve - = 0
14 Solve - = 0. x - 1 3 x = ................................................ [3]
Mark scheme: 14 −2 3 M1 for removal of fractions 3( x + 1) − ( x − 1)[ = 0] oe or 3( x + 1) − ( x − 1)[ = 0] oe 3( x − 1) M1 for isolating x from their equation
Q15 · F (x) 3 2 1 0 x 90 180 270 360 – 1 – 2 – 3 The graph shows f ( x) = a cos ( bx)°
15 f (x) 3 2 1 0 x 90 180 270 360 – 1 – 2 – 3 The graph shows f ( x) = a cos ( bx)°. (a) Find the value of a and the value of b. a = ................................................ b = ................................................ [2] (b) Write down the period of f ( )x . ................................................. [1] Question 16 is printed on the next page.
Mark scheme: 15(a) a = 3 2 B1 for each b = 2 15(b) 180 1
Q16 · Log a 64 = 2 Write down the value of a
16 (a) log a 64 = 2 Write down the value of a. ................................................. [1] (b) Simplify log 3 + 3 log 2 - log 12. ................................................. [3]
Mark scheme: 16(a) 8 1 16(b) log2 3 3 M1 for log 2 oe seen M1 for correct use of log a + log b = log ab or log a – log b = log a/b
What was in this paper
The subtopics covered by these 16 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 Oct/Nov, Paper 2 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.