Cambridge IGCSE Mathematics - International 0607 — 2019 Oct/Nov Paper 2 · Variant 1
0607/21/O/N/19 · 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 scheme4 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Work out 15 + 14 # 2
1 Work out 15 + 14 # 2 . ................................................... [1]
Mark scheme: Question Answer Marks Partial Marks 1 43 1
Q2 · Here is a list of numbers
2 Here is a list of numbers. 21 23 29 33 39 63 91 92 From the list, write down (a) a factor of 46, ................................................... [1] (b) a prime number. ................................................... [1]
Mark scheme: 2(a) 23 1 2(b) 23 or 29 1 Allow both but no extras
Q3 · List the integer values of x such that - 3 1 x G 1
3 List the integer values of x such that - 3 1 x G 1. ................................................... [2]
Mark scheme: 3 –2, –1, 0, 1 2 B1 if one error or omission
Q4 · At a railway station, the probability that any train departs on time is
4 At a railway station, the probability that any train departs on time is . 8 The number of trains in one day is 72. Work out the expected number of trains that depart on time. ................................................... [1]
Mark scheme: 4 63 1
Q5 · Work out ' 4
5 Work out ' 4 . 4 2 Give your answer as a fraction in its lowest terms. ................................................... [2]
Mark scheme: 5 1 2 3 2 3 18 6 M1 for × or ÷ implied by or 6 4 9 4 4 36 3 18
Q6 · 9, 27, 81, 243, … Find the nth term of this sequence
6 9, 27, 81, 243, … Find the nth term of this sequence. ................................................... [2]
Mark scheme: 6 3n +1 oe 2 B1 for 3k
Q7 · NOT TO SCALE 3 cm 7 cm The diagram shows a hemisphere joined to a cone
7 NOT TO SCALE 3 cm 7 cm The diagram shows a hemisphere joined to a cone. The hemisphere has a radius of 3 cm. The cone has a radius of 3 cm and a height of 7 cm. The total volume of the shape is kr cm3. Find the value of k. k = .................................................. [3] 4
Mark scheme: 7 39 3 1 4 3 B1 for × × π× 3 2 3 1 2 B1 for × π× 3 × 7 3
Q8 · Find the value of 83
8 Find the value of 83. ................................................... [1]
Mark scheme: 8 16 1
Q9 · P = - 5 Find (a) 2p, [1] f p (b) p
9 p = - 5 Find (a) 2p, [1] f p (b) p . ................................................... [2]
Mark scheme: 9(a) 24 1 −10 9(b) 13 2 M1 for 12 2 + ( −5) 2 oe
Question 10
10 Solve. 4w 2 - 8w - 5 = 0 w = .................. or w = .................. [3]
Mark scheme: 10 1 5 3 B2 for (2 w + 1)(2 w − 5) − oe , oe 2 2 B1 for ( aw + b )( cw + d ) with two correct from ac = 4, bd = –5, ad + bc = –8
Q11 · Y varies inversely as x
11 y varies inversely as x. When x = 16 , y = 9 . Find y in terms of x. y = .................................................. [2]
Mark scheme: 11 36 2 k y = M1 for y = x x
Q12 · C NOT TO SCALE D x° 100° B A The points A, B, C and D lie on the circle
12 (a) C NOT TO SCALE D x° 100° B A The points A, B, C and D lie on the circle. Find the value of x. x = .................................................. [1] (b) A NOT TO SCALE y° O B 36° C The points A, B and C lie on the circle, centre O. Find the value of y. y = .................................................. [1]
Mark scheme: 12(a) 80 1 12(b) 72 1
Q13 · Simplify 20 + 125
13 (a) Simplify 20 + 125 . ................................................... [2] (b) Rationalise the denominator and simplify your answer. 18 7 - 1 ................................................... [2]
Mark scheme: 13(a) 7 5 2 B1 for 2 5 or 5 5 13(b) 3( 7 + 1) or 3 7 + 3 2 7 + 1 M1 for × 7 + 1
Q14 · Make l the subject of the formula T = 2 r
14 Make l the subject of the formula T = 2 r . g l = .................................................. [3] 1
Mark scheme: 14 T 2 gT 2 3 M1 for correct division by 2π or 4π 2 g or 2 final answer 2 2 π 4 π M1 for correct multiplication by g or g M1 for correct squaring
Q15 · Simplify (t27 ) 3
15 Simplify (t27 ) 3. ................................................... [1] Questions 16 and 17 are printed on the next page.
Mark scheme: 15 9t 1
Q16 · A is the point (0, 8) and B is the point (6, 0)
16 A is the point (0, 8) and B is the point (6, 0). The line L passes through B and is perpendicular to AB. Find the equation of L. ................................................... [4]
Mark scheme: 16 3 9 4 4 y = x − oe M1 for gradient of AB = − oe 4 2 3 1 M1 for gradient of L = – 4 their − 3 M1 for substitution of (6, 0) in their y = mx + c oe
Question 17
17 Simplify 2 . a - 4 ................................................... [4]
Mark scheme: 17 b − c 4 B2 for (b − c )( a + 2) oe final answer a − 2 or B1 for b ( a + 2) − c ( a + 2) or a (b − c ) + 2(b − c ) B1 for ( a − 2)( a + 2)
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 2019 Oct/Nov, Paper 2 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.