Cambridge IGCSE Mathematics - International 0607 — 2017 Oct/Nov Paper 2 · Variant 3
0607/23/O/N/17 · 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 scheme4 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · 27 39 49 51 53 55 58 From this list write down the prime number
1 27 39 49 51 53 55 58 From this list write down the prime number. .................................................... [1]
Mark scheme: Question Answer Marks Partial Marks 1 53 1
Q2 · A is the point (1, 3) and B is the point (4, 9)
2 A is the point (1, 3) and B is the point (4, 9). Find AB. J N K O AB = KK OO [2] L P
Mark scheme: 2 3 2 B1 for each component 6
Q3 · A 36° NOT TO SCALE x° B C AB = AC
3 A 36° NOT TO SCALE x° B C AB = AC. Find the value of x. x = ................................................... [2]
Mark scheme: 3 72 2 180 − 36 M1 for 2
Q4 · $144 is shared in the ratio 1 : 7
4 $144 is shared in the ratio 1 : 7. Find the value of the smaller share. $ ................................................... [2]
Mark scheme: 4 18 2 144 M1 for oe 8
Q5 · Ciara buys 6 red pens and 4 blue pens for a total cost of $3.90
5 Ciara buys 6 red pens and 4 blue pens for a total cost of $3.90 . Blue pens cost $0.45 each. Find the cost of one red pen. $ ................................................... [3]
Mark scheme: 5 0.35 3 3.9[0] − 4 × 0.45 M2 for 6 or M1 for 3.9[0] − 4 × 0.45
Q6 · Write each number in standard form
6 Write each number in standard form. (a) 58 000 .................................................... [1] (b) 0.008 09 ..................................................... [1]
Mark scheme: 6(a) 5.8 × 10 4 1 6(b) 8.09 × 10−3 1
Q7 · The interior angle of a regular polygon is 160°
7 The interior angle of a regular polygon is 160°. Find the number of sides of this polygon. .................................................... [3]
Mark scheme: 7 18 3 360 M2 for oe 180 − 160 or M1 for 180 − 160
Question 8
8 Solve the equation. 90 45 - = 15 x x = ................................................... [3]
Mark scheme: 8 3 3 90 M2 for 45 − 15 or M1 for correct first step
Q9 · The mean of two numbers is 46
9 The mean of two numbers is 46. The difference between the two numbers is 12. Find the two numbers. ......................... and ......................... [2]
Mark scheme: 9 40 and 52 2 B1 for 92
Question 10
10 Solve the equation. x 2 - 5x - 24 = 0 x = ............................ or x = ............................ [3]
Mark scheme: 10 8, –3 3 M2 for ( x − 8)( x + 3) oe or M1 for ( x + a )( x + b ) where ab = −24 or a + b = −5
Q11 · Rationalise the denominator and simplify your answer
11 Rationalise the denominator and simplify your answer. 32 8 .................................................... [2]
Mark scheme: 11 8 2 2 8 M1 for × oe 8
Q12 · The volume of a sphere is r cm3
12 The volume of a sphere is r cm3. 3 Find the radius of the sphere. .............................................. cm [2]
Mark scheme: 12 2 2 4 3 32 M1 for πr = π oe 3 3
Q13 · A is the point (1, 8) and B is the point (5, 0)
13 A is the point (1, 8) and B is the point (5, 0). Find the equation of the perpendicular bisector of AB in the form y = mx + c . y = ................................................... [4]
Mark scheme: 13 1 5 4 B1 for (3, 4) seen [ y = ] x + 2 2 8 B1 for − oe seen 4 −1 M1 for grad = their ( −2)
Q14 · Rearrange the formula to make x the subject
14 Rearrange the formula to make x the subject. 3x A = 2x - 5 x = .................................................... [3] Questions 15 and 16 are printed on the next page.
Mark scheme: 14 5 A − 5 A 3 M1 for correctly eliminating fractions x = or x = M1 for correctly collecting their x terms 2 A − 3 3 − 2 A M1 for correct final division of their terms final answer
Question 15
15 Factorise completely. 5x 2 - 125y 2 .................................................... [3]
Mark scheme: 15 5( x − 5 y )( x + 5 y ) 3 M2 for (5 x − 25 y )( x + 5 y ) or (5 x + 25 y )( x − 5 y ) final answer or M1 for one correct factor identified
Q16 · The probability that it rains today is 0.3
16 The probability that it rains today is 0.3 . If it rains today, the probability that it will rain tomorrow is 0.4 . If it does not rain today, the probability that it will rain tomorrow is 0.15 . Find the probability that it will rain tomorrow. .................................................... [3]
Mark scheme: 16 0.225 oe 3 M2 for 0.3 × 0.4 + 0.7 × 0.15 oe or M1 for 0.3 × 0.4 or 0.7 × 0.15
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 2017 Oct/Nov, Paper 2 · Variant 3. A higher threshold means an easier paper — the bar moves with how the cohort did.