Cambridge IGCSE Mathematics - International 0607 — 2021 Feb/March Paper 2 · Variant 2
0607/22/F/M/21 · 14 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 · These are the test results for 14 students
1 These are the test results for 14 students. 27 19 22 25 18 23 24 17 16 25 17 27 23 26 (a) Construct an ordered stem-and-leaf diagram to show this information, including a key. Key: ................ | ................ = ................ [3] (b) Find the median. ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1(a) 1 6 7 7 8 9 3 B1 for one row correct or for all numbers in 2 2 3 3 4 5 5 6 7 7 correct rows but unordered B1 for a correct key key e.g. 1 | 6 = 16 1(b) 23 1
Q2 · Point A (7, 5) is translated to point B (2, 2)
2 Point A (7, 5) is translated to point B (2, 2). Find the vector that represents this translation. [2] f p
Mark scheme: 2 − 5 2 − 5 k B1 for or − 3 k − 3 5 If 0 scored SC1 for 3
Q3 · Find the highest common factor (HCF) of 84 and 72
3 Find the highest common factor (HCF) of 84 and 72. ................................................. [1]
Mark scheme: 3 12 1
Question 4
4 Solve. x + 2 = 7 ................................................. [1]
Mark scheme: 4 5 and –5 1
Q5 · Point A has coordinates (-3, 2)
5 Point A has coordinates (-3, 2). Point B has coordinates (5, -4). (a) Find the mid-point of AB. ( .................... , ..................... ) [2] (b) Find the length of AB. ................................................. [3]
Mark scheme: 5(a) (1, –1) 2 B1 for each 5(b) 10 3 M2 for (5 −−( 3)) 2 + (( −4) − 2) 2 oe or M1 for (5 −−( 3)) or (( −4) − 2) oe
Q6 · Find the value of p when 2 6 ' 4 p = 2 7
6 Find the value of p when 2 6 ' 4 p = 2 7 . p = ................................................ [3]
Mark scheme: 6 1 3 B1 for 4 p = 2 2 p soi [p =] − 2 M1 for 6 − 2 p = 7 oe If 0 scored then SC1 for 2 6 ÷ 2 7 = 2 −1 or 2 7 ÷ 2 6 = 21 oe
Q7 · Iraj travels to school either by bus or on a bicycle
7 Iraj travels to school either by bus or on a bicycle. The probability that he goes by bus is 0.3 . He can have lunch at home or at school. The probability that he has lunch at school is 0.6 . (a) Complete the tree diagram. School 0.6 Bus 0.3 ............. Home School ............. ............. Bicycle ............. Home [2] (b) Find the probability that Iraj travels on a bicycle to school and goes home for lunch. ................................................. [2]
Mark scheme: 7(a) Fully correct tree diagram 2 B1 for either 0.7 or 0.4 in a correct position 0.4 0.7 0.6 0.4 7(b) 0.28 oe 2 FT their tree diagram M1 for their ( 0.7 ) × their (0.4)
Question 8
8 Expand and simplify. 4 ( 2a + 5b) - 3 ( 6b - 3a) ................................................. [2]
Mark scheme: 8 17 a + 2 b final answer 2 B1 for answer 17a + kb or ka + 2b k ≠ 0 or M1 for 8 a + 20 b or − 18b + 9 a
Q9 · A E 76° NOT TO SCALE D B C A, B, C, and D are points on a circle
9 (a) A E 76° NOT TO SCALE D B C A, B, C, and D are points on a circle. CDE is a straight line. Find angle ABC . Angle ABC = ................................................ [1] (b) Q P 25° NOT TO SCALE O R 40° T S P, Q, R, S and T are points on the circle centre O. TOQ is a straight line. (i) Find angle STR. Angle STR = ................................................ [1] (ii) Find angle QOR. Angle QOR = ................................................ [1]
Mark scheme: 9(a) 76 1 9(b)(i) 25 1 9(b)(ii) 80 1
Q10 · Aisha picks three number cards from a pack
10 Aisha picks three number cards from a pack. 1 The mean of the three numbers is 6 3. She picks another card from the pack. The mean of the four numbers is 6 1. 2 Work out the number on the fourth card. ................................................. [3]
Mark scheme: 10 7 3 1 1 M2 for 6 × 4 − 6 × 3 2 3 or M1 for either correct OR M2 for 2 (19 + x ) = 13 × 4 oe 1 6 × 3 + x 3 1 or M1 for = 6 oe 4 2
Q11 · Find the next term and an expression for the nth term of this sequence
11 Find the next term and an expression for the nth term of this sequence. 35, 29, 19, 5, … next term = ................................................ nth term = ................................................ [3]
Mark scheme: 11 −13 3 B1 for −13 37 − 2n 2 M1 for any quadratic expression or common second differences of 4
Q12 · Rearrange this formula to make x the subject
12 Rearrange this formula to make x the subject. a - x y = 3x x = ................................................ [3] Questions 13 and 14 are printed on the next page.
Mark scheme: 12 a 3 M1 for correct removal of fraction(s) [ x = final answer M1 for isolating terms in x ]3 y + 1 M1 for correct division by a linear expression maximum 2 marks if final answer incorrect
Q13 · Rationalise the denominator and simplify
13 Rationalise the denominator and simplify. 2 5 + 1 ................................................. [3]
Mark scheme: 113 5 − 1 5 5 − 1 1 3 2 ( ) 2 5 − 2 − or 5 − 1 or ( ) 2 2 2 2 M2 for or 5 − 1 5 − 1 5 − 1 or M1 for × 5 − 1
Q14 · Write as a single fraction in its simplest form
14 Write as a single fraction in its simplest form. 3a a - 1 - a + 4 2a ................................................. [3]
Mark scheme: 14 5 a 2 − 3a + 4 5 a 2 − 3a + 4 3 M1 for denominator 2 a ( a + 4 ) or 2 a ( a + 4) 2 a 2 + 8 a B1 for 3a × 2 a − ( a − 1)( a + 4 ) or better final answer
What was in this paper
The subtopics covered by these 14 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 2021 Feb/March, Paper 2 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.