Cambridge IGCSE Mathematics 0580 — 2017 Oct/Nov Paper 1 · Variant 1
0580/11/O/N/17 · 20 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 · NOT TO 72° 83° SCALE 104° x° The diagram shows a quadrilateral
1 NOT TO 72° 83° SCALE 104° x° The diagram shows a quadrilateral. Find the value of x. x = .................................................. [1]
Mark scheme: Question Answer Marks Partial marks 1 101 1
Q2 · A watch costs $80
2 A watch costs $80. The exchange rate is $1 = 124.3 Japanese Yen. Work out the cost of the watch in Yen. ........................................... Yen [1]
Mark scheme: 2 9944 1
Question 3
3 Work out. 2 -4 # 2 5 ................................................... [1]
Mark scheme: 3 2 1
Q4 · Amber’s mean mark on five tests is 80
4 Amber’s mean mark on five tests is 80. Her marks on four of these tests are 68, 81, 74 and 89. Work out her mark on the fifth test. ................................................... [2]
Mark scheme: 4 88 2 68 + 81 + 74 + 89 + x M1 for = 80 oe 5 or B1 for 400
Q5 · Write 18.766 correct to (a) 1 decimal place…
5 Write 18.766 correct to (a) 1 decimal place, ................................................... [1] (b) 2 significant figures. ................................................... [1]
Mark scheme: 5(a) 18.8 cao 1 5(b) 19 cao 1
Question 6
6 Calculate. 0. 2 2 + 1.7 - 0.9 ................................................... [2]
Mark scheme: 6 1.5 oe 2 B1 for 2.25 oe
Question 7
7 Factorise completely. 12x 2 + 15xy - 9x ................................................... [2]
Mark scheme: 7 3x ( 4x + 5y – 3) final answer 2 B1 for 3(4x2 + 5xy – 3x) or x(12x + 15y – 9) allow in working or correct answer spoiled If zero scored, SC1 for 3x(4x + 5y – 3) with only 2 correct elements in the brackets, allow in working
Q8 · The time, t seconds, that Jade takes to run a race is 14.3 seconds, correct to 1 decimal…
8 The time, t seconds, that Jade takes to run a race is 14.3 seconds, correct to 1 decimal place. Complete this statement about the value of t. ....................... G t 1 ....................... [2]
Mark scheme: 8 14.25 ……. 14.35 2 B1 for each correct or both correct but reversed
Q9 · Calculate the area of a circle with diameter 9 cm
9 Calculate the area of a circle with diameter 9 cm. ........................................... cm2 [2]
Mark scheme: 9 63.6 or 63.61 to 63.63 2 M1 for π × 4.52
Q10 · Y 5 4 A 3 2 1 x –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 B –2 C –3 –4 –5 The diagram shows two sides…
10 y 5 4 A 3 2 1 x –5 –4 –3 –2 –1 0 1 2 3 4 5 –1 B –2 C –3 –4 –5 The diagram shows two sides of a rhombus ABCD. (a) Write down the co-ordinates of A. ( ..................... , ..................... ) [1] (b) Complete the rhombus ABCD on the grid. [1]
Mark scheme: 10(a) (–2, 3) 1 10(b) Correct rhombus with 4th point at (2,2) 1
Q11 · 11 (a) Write the fraction in its lowest terms
3011 (a) Write the fraction in its lowest terms. 54 ................................................... [1] (b) Complete this table. Fraction Decimal Percentage 9 = ............................... = ............................... 100 [2]
Mark scheme: 11(a) 5 9 cao 1 11(b) [0].09 then 9 [%] 2 B1 for each
Q12 · 1112 Without using a calculator, work out 1 -
2 1112 Without using a calculator, work out 1 - . 3 15 Write down all the steps of your working and give your answer as a fraction in its lowest terms. ................................................... [3]
Mark scheme: 12 5 2 4 B1 5 k + Allow 3 3 15 3k 25 11 10 4 M1 Correct method to find common denominator [and ] [and ] 15 15 15 15 75 33 e.g. and 45 45 5 Follow through their for the M1 mark 3 14 14 A1 cao cao 15 15
Q13 · 3 5 -7 343 -11 0.4 2.5 3 From this list of numbers, write down (a) a cube number…
113 5 -7 343 -11 0.4 2.5 3 From this list of numbers, write down (a) a cube number, ................................................... [1] (b) the smallest number, ................................................... [1] (c) a natural number. ................................................... [1]
Mark scheme: 13(a) 343 1 13(b) –11 1 13(c) 343 1
Question 14
14 Work out. 3 - 1 (a) + d 2 n d 5n [1] f p 6 4 (b) - d 3 n d - 2 n [1] f p 2 (c) 4 d 5 n [1] f p
Mark scheme: 14(a) 2 1 7 14(b) 2 1 5 14(c) 8 1 20
Q15 · The diagram shows a regular pentagon
15 The diagram shows a regular pentagon. A AB is a line of symmetry. d ° Work out the value of d. NOT TO SCALE B d = .................................................. [3]
Mark scheme: 15 54 3 180 × (5 − 2) 360 M2 for or 180 − 5 5 360 or M1 for 180 × (5 − 2) or 5 √
Q16 · A NOT TO SCALE 18 cm 8 cm B C Calculate the length of BC
16 A NOT TO SCALE 18 cm 8 cm B C Calculate the length of BC. BC = ............................................ cm [3]
Mark scheme: 16 16.1 or 16.12 to 16.13 3 M2 for √(182 – 82) or better or M1 for 182 = […]2 + 82 or better
Question 17
17 Simplify. (a) m5 2 ^ h ................................................... [1] (b) 4x 3 y # 5 x 2 y ................................................... [2]
Mark scheme: 17(a) m10 final answer 1 17(b) 20x5y2 final answer 2 B1 for 2 out of 3 elements correct in final answer or correct answer spoiled
Q18 · Solve the simultaneous equations
18 Solve the simultaneous equations. You must show all your working. 3x + 4y = 6 6x - y =- 15 x = .................................................. y = .................................................. [3]
Mark scheme: 18 Correct method to eliminate one M1 variable [x =] –2 A1 [y =] 3 A1 If zero scored, SC1 for both correct but no or wrong working or SC1 for 2 values satisfying one of the original equations
Q19 · Juan asks 40 people which language they speak at home
19 (a) Juan asks 40 people which language they speak at home. The table shows the results. Pie chart Language Frequency sector angle English 18 162° French 11 Spanish 7 Other 4 Juan wants to draw a pie chart to show this information. (i) Complete the table. [3] (ii) Complete the pie chart. English 162° [1] (b) Mansoor also asks some people which language they speak at home. In Mansoor’s pie chart, the sector angle for Portuguese is 108°. Write down the fraction of these people who do not speak Portuguese at home. ................................................... [1]
Mark scheme: 19(a)(i) 99° 3 B1 for each 63° 36° or M1 for 162 ÷ 18 or 360 ÷ 40 or better If zero scored, SC1 for 3 angles that add to 198 19(a)(ii) Correct labelled pie chart 1FT FT their table if their angles add to 198 19(b) 252 1 or better fraction isw 360
Q20 · NOT TO SCALE 6.7 cm 10.4 cm 9.2 cm 12.8 cm The diagram shows a small rectangle inside a…
20 (a) NOT TO SCALE 6.7 cm 10.4 cm 9.2 cm 12.8 cm The diagram shows a small rectangle inside a large rectangle. Work out the shaded area. ........................................... cm2 [2] (b) NOT TO 5 cm SCALE 2 cm 8 cm Work out the surface area of this cuboid. ........................................... cm2 [3]
Mark scheme: 20(a) 71.48 2 M1 for 12.8 × 10.4 or 9.2 × 6.7 or for an area of a suitable rectangle from shaded area 20(b) 132 3 M2 for 2 × (8 × 2 + 2 × 5 + 8 × 5) oe or M1 for at least two of 8 × 2, 8 × 5 and 2 × 5
What was in this paper
The subtopics covered by these 20 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
2Angles2Fractions, decimals and percentages2Limits of accuracy2Area and perimeter1Averages and range1Coordinates1Equations1Indices I1Pythagoras’ theorem1Ratio and proportion1Statistical charts and diagrams1Surface area and volume1The four operations1Types of number1Using a calculator1What you needed in this session
Cambridge’s own grade thresholds for 2017 Oct/Nov, Paper 1 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.