Cambridge IGCSE Mathematics 0580 — 2017 Oct/Nov Paper 1 · Variant 2
0580/12/O/N/17 · 24 questions · 56 marks · ≈63 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 paper12 pages
Mark scheme4 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Write, in figures, fourteen thousand and twenty seven
1 Write, in figures, fourteen thousand and twenty seven. .............................................. [1]
Mark scheme: Question Answer Marks Partial marks 1 14 027 1
Q2 · One day, at noon, in Maseru, the temperature was 17 °C
2 One day, at noon, in Maseru, the temperature was 17 °C. At midnight the temperature was 20 °C lower. Work out the temperature at midnight. .........................................°C [1]
Mark scheme: 2 −3 1
Q3 · Write down the value of 120
3 Write down the value of 120. .............................................. [1]
Mark scheme: 3 1 1
Q4 · Write .517 # 10 -3 as an ordinary number
4 Write .517 # 10 -3 as an ordinary number. .............................................. [1]
Mark scheme: 4 [0].00517 1
Q5 · Write the following in order of size, starting with the smallest
5 Write the following in order of size, starting with the smallest. 31 5 64% 0.63 50 8 .................. 1 .................. 1 .................. 1 .................. [2] smallest
Mark scheme: 5 31 5 2 B1 for 3 in correct order , , 0.63, 64% or M1 for 0.62 or 62% and 0.625 or 50 8 62.5% or 4 fractions with a common denominator
Q6 · A taxi journey costs $4.50, plus 80 cents for each kilometre travelled
6 A taxi journey costs $4.50, plus 80 cents for each kilometre travelled. Julianna travels 7 km. Work out the cost of her journey. $ ........................................... [2]
Mark scheme: 6 10.1[0] 2 M1 for [4.5 +] (7 × [0].8) or 450 + 7 × 80
Question 7
7 Work out. 6.32 + 2.06 4.15 - 0.12 Give your answer correct to 1 decimal place. .............................................. [2]
Mark scheme: 7 2.1 2 B1 for 2.08 or 2.079… or 2.10
Q8 · 1 and 12 are factors of 12
8 (a) 1 and 12 are factors of 12. Write down all the other factors of 12. .............................................. [1] (b) Write down the multiples of 9 between 20 and 40. .............................................. [1]
Mark scheme: 8(a) 2, 3, 4, 6 1 8(b) 27, 36 cao 1
Q9 · NOT TO 80° SCALE 120° y° x° A B In the diagram, AB is a straight line
9 NOT TO 80° SCALE 120° y° x° A B In the diagram, AB is a straight line. Find the value of x and the value of y. x = ....................................... y = ....................................... [2]
Mark scheme: 9 [x =] 60 2 B1 for each [y =] 40 or for two numbers that add to 100
Q10 · Write 55 g as a percentage of 2.2 kg
10 Write 55 g as a percentage of 2.2 kg. ..........................................% [2]
Mark scheme: 10 2.5 2 M1 for 2200 or 0.055 seen or SC1 for answer figs 25
Q11 · The area of a triangle is 528 cm2
11 The area of a triangle is 528 cm2. The length of its base is 33 cm. Calculate the perpendicular height of the triangle. ........................................ cm [2]
Mark scheme: 11 32 2 1 M1 for × 33 × h = 528 oe 2
Q12 · As the temperature increases, the number of ice creams sold increases
12 (a) As the temperature increases, the number of ice creams sold increases. What type of correlation is this? .............................................. [1] (b) Write down the type of correlation there is between the height of an adult and the amount of money they earn. .............................................. [1]
Mark scheme: 12(a) Positive 1 12(b) No correlation oe 1
Q13 · Bastian has a bag containing four types of sweet
13 Bastian has a bag containing four types of sweet. He takes a sweet from the bag at random. Sweet Mint Fruit Toffee Chocolate Probability 0.15 0.3 0.2 Complete the table. [2]
Mark scheme: 13 [0].35 2 M1 for 1 – (0.15 + 0.3 + 0.2)
Q14 · The length, l metres, of a ship is 362 m, correct to the nearest metre
14 The length, l metres, of a ship is 362 m, correct to the nearest metre. Complete the statement about the value of l. ..................... G l 1 ..................... [2]
Mark scheme: 14 361.5 1 362.5 1 If zero scored, SC1 for both correct but reversed
Q15 · 8.1 cm NOT TO 6.4 cm SCALE x° Calculate the value of x
15 8.1 cm NOT TO 6.4 cm SCALE x° Calculate the value of x. x = ...................................... [2]
Mark scheme: 15 52.2 or 52.19 to 52.20 2 6.4 M1 for sin […=] oe 8.1
Q16 · Y 7 6 A 5 4 3 2 1 x –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 –1 B –2 –3 –4 (a) Write down the…
16 y 7 6 A 5 4 3 2 1 x –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 –1 B –2 –3 –4 (a) Write down the co-ordinates of point A. ( ....................... , ....................... ) [1] (b) Plot point C at (7, -2). [1] (c) Write down the mathematical name of the triangle formed by joining the points A, B and C. .............................................. [1]
Mark scheme: 16(a) (2, 5) 1 16(b) Point plotted at (7, −2) 1 16(c) Isosceles cao 1
Q17 · AB is a straight line
17 AB is a straight line. A B (a) Measure the length of AB. ........................................ cm [1] (b) Mark the midpoint of AB. [1] (c) Draw a line perpendicular to AB. [1]
Mark scheme: 17(a) 9 1 17(b) Midpoint marked 1 17(c) Perpendicular line drawn 1
Q18 · Find the size of the interior angle of a regular hexagon
18 Find the size of the interior angle of a regular hexagon. .............................................. [3]
Mark scheme: 18 120 nfww 3 360 180 × (6 − 2) M2 for 180 − oe 6 6 360 or M1 for soi by 60 6 or 180 × (6 − 2) soi by 720
Q19 · A cuboid measures 5 cm by 4 cm by 3 cm
19 A cuboid measures 5 cm by 4 cm by 3 cm. On the 1 cm2 grid, draw an accurate net of this cuboid. One face has been drawn for you. [3]
Mark scheme: 19 Correct ruled net 3 B2 for 4 more correct faces in correct position or B1 for 2 or 3 more correct faces in correct position
Q20 · 20 (a) Write as a mixed number
1120 (a) Write as a mixed number. 3 .............................................. [1] 1 5 (b) Without using a calculator, work out + . 4 12 Show all the steps of your working and give your answer as a fraction in its lowest terms. .............................................. [2]
Mark scheme: 20(a) 2 1 3 cao 3 20(b) 3 5 M1 For correct method to find common [and ] oe denominator 12 12 12 20 e.g. and 48 48 2 A1 cao 3
Q21 · Y 5 l 4 3 2 1 x –2 –1 0 1 2 3 4 5 6 Find the equation of the line l in the form y = mx + c
21 y 5 l 4 3 2 1 x –2 –1 0 1 2 3 4 5 6 Find the equation of the line l in the form y = mx + c. y = ........................................ [3]
Mark scheme: 21 [y =] 0.5x + 2 oe 3 M2 for [y =] 0.5x + c oe c ≠ 2 rise or M1 for run and B1 for kx + 2, k ≠ 0
Q22 · These are the first four terms of a sequence
22 (a) These are the first four terms of a sequence. 8 15 22 29 (i) Write down the next term. .............................................. [1] (ii) Write down the rule for continuing the sequence. .............................................. [1] (b) These are the first four terms of a different sequence. 2 6 10 14 Find an expression for the nth term of this sequence. .............................................. [2]
Mark scheme: 22(a)(i) 36 1 22(a)(ii) Add 7 oe 1 22(b) 4n – 2 oe 2 M1 for 4n + k, k ≠ −2 oe
Question 23
23 Solve the equations. (a) 7 - 3n = 11 n + 2 n = ....................................... [2] p - 3 (b) = 3 5 p = ....................................... [2]
Mark scheme: 23(a) 5 2 M1 for 7 – 2 = 11n + 3n oe or better or 0.357 or 0.357… 14 23(b) 18 2 p 3 M1 for p – 3 = 3 × 5 or = 3 + 5 5
Q24 · 12 cm y cm NOT TO x cm 5 cm SCALE 15 cm 12.5 cm The two shapes are mathematically similar
24 12 cm y cm NOT TO x cm 5 cm SCALE 15 cm 12.5 cm The two shapes are mathematically similar. Find the value of (a) x, x = ........................................ [2] (b) y. y = ........................................ [2]
Mark scheme: 24(a) 6 2 15 12.5 12.5 5 M1 for or or or soi 12.5 15 5 12.5 24(b) 10 2 12.5 15 M1 for × 12 or 12 ÷ soi 15 12
What was in this paper
The subtopics covered by these 24 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
2Fractions, decimals and percentages2The four operations2Types of number2Area and perimeter1Compound shapes and parts of shapes1Coordinates1Equations1Equations of linear graphs1Introduction to probability1Limits of accuracy1Percentages1Powers and roots1Rates1Right-angled triangles1Scatter diagrams1Sequences1Similarity1Standard form1Units of measure1What you needed in this session
Cambridge’s own grade thresholds for 2017 Oct/Nov, Paper 1 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.