Cambridge IGCSE Mathematics 0580 — 2020 May/June Paper 1 · Variant 3
0580/13/M/J/20 · 21 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 scheme6 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Write six hundred and seven thousand and twenty-one in figures
1 Write six hundred and seven thousand and twenty-one in figures. ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1 607 021 1
Q2 · A On the grid, draw a shape that is congruent to shape A
2 A On the grid, draw a shape that is congruent to shape A. [1]
Mark scheme: 2 Correct shape drawn 1
Q3 · + 183 Edelgard tries to calculate
68 + 183 Edelgard tries to calculate . 9 - 5 (a) She types into her calculator 68 + 18 ' 9 - 5 . Explain why this does not give Edelgard the correct answer. ..................................................................................................................................................... [1] 68 + 18 (b) Work out the correct answer to . 9 - 5 ................................................. [1]
Mark scheme: 3(a) Correct reason 1 3(b) 21.5 oe 1
Q4 · A train from Woodton to Northley takes 6 hours 25 minutes
4 A train from Woodton to Northley takes 6 hours 25 minutes. The train leaves Woodton at 19 46. Work out the time the train arrives at Northley. ................................................. [1]
Mark scheme: 4 02 11 1
Q5 · Write down the number that is 7 more than -38
5 Write down the number that is 7 more than -38. ................................................. [1]
Mark scheme: 5 − 31 1
Question 6
6 Simplify. 5w + 3h - 7w + 8h ................................................. [2]
Mark scheme: 6 11h − 2 w final answer 2 M1 for 11h + kw or kh − 2 w
Q7 · Write down the mathematical name of a quadrilateral that has • rotational symmetry of…
7 (a) Write down the mathematical name of a quadrilateral that has • rotational symmetry of order 1 and • only one line of symmetry. ................................................. [1] (b) Reflect the shape in line L. L [2]
Mark scheme: 7(a) Kite or isosceles trapezium 1 7(b) Correct shape drawn 2 M1 for 3 sides correctly reflected or 4 correct vertices
Q8 · B x° NOT TO 135° A 72° SCALE D y° 88° C In the diagram, AB is parallel to CD
8 B x° NOT TO 135° A 72° SCALE D y° 88° C In the diagram, AB is parallel to CD. (a) Find the value of x. Give a geometrical reason for your answer. x = ......................... because ....................................................................................................... [2] (b) Work out the value of y. Give a geometrical reason for your answer. y = ......................... because ....................................................................................................... [2]
Mark scheme: 8(a) 72 2 B1 for each Corresponding angles 8(b) 65 2 B1 for each Angles [at a point] sum [to] 360 oe
Q9 · 32 33 34 35 36 37 38 39 From this list of numbers, write down (a) a multiple of 8…
9 32 33 34 35 36 37 38 39 From this list of numbers, write down (a) a multiple of 8, ................................................. [1] (b) a square number, ................................................. [1] (c) a prime number. ................................................. [1]
Mark scheme: 9(a) 32 1 9(b) 36 1 9(c) 37 1
Q10 · A circular garden has diameter 11.4 m
10 (a) A circular garden has diameter 11.4 m. Draw the garden accurately, using a scale of 1 cm represents 1.5 m. Scale: 1 cm to 1.5 m [2] (b) On a map, the distance between two towns is 9.6 cm. The scale of the map is 1 : 50 000. Work out the actual distance between the two towns in kilometres. ........................................... km [2]
Mark scheme: 10(a) Circle with 3.8 cm radius drawn 2 M1 for 11.4 ÷ 1.5 or 5.7 ÷ 1.5 10(b) 4.8 2 9.6 × 50000 M1 for or answer figs 48 100 × 1000
Q11 · A NOT TO SCALE 32° B C Triangle ABC is isosceles
11 A NOT TO SCALE 32° B C Triangle ABC is isosceles. Angle ABC = 32° and AB = AC. Find angle BAC. Angle BAC = ................................................. [2]
Mark scheme: 11 116 2 M1 for angle ACB = 32 soi
Q12 · A bag contains yellow balls, pink balls and green balls only
12 A bag contains yellow balls, pink balls and green balls only. The ratio yellow balls : pink balls : green balls = 7 : 3 : 5. There are 42 yellow balls in the bag. Work out the total number of balls in the bag. ................................................. [2]
Mark scheme: 12 90 2 42 M1 for × ( 7 + 3 + 5 ) soi by 6 7
Q13 · On any day, the probability that Marcus will get a seat on the school bus is 0.93
13 On any day, the probability that Marcus will get a seat on the school bus is 0.93 . (a) Write down the probability that he will not get a seat on the school bus today. ................................................. [1] (b) There are 200 school days in a year. Work out the expected number of days in a year that Marcus will not get a seat. ................................................. [1]
Mark scheme: 13(a) 0.07 1 13(b) 14 1 FT their (a)
Question 14
14 Simplify. (a) p 2 # p 4 ................................................. [1] (b) m 15 ' m 5 ................................................. [1] (c) ( k3 ) 5 ................................................. [1]
Mark scheme: 14(a) p 6 1 14(b) m10 1 14(c) k 15 1
Q15 · Y 3 2 1 B x -6 -5 -4 -3-3 -2 -1 0 1 2 3 4 -1 -2 -3 A -4 -5 -6 Describe fully the single…
15 y 3 2 1 B x -6 -5 -4 -3-3 -2 -1 0 1 2 3 4 -1 -2 -3 A -4 -5 -6 Describe fully the single transformation that maps shape A onto shape B. ............................................................................................................................................................. ............................................................................................................................................................. [3]
Mark scheme: 15 Rotation 3 B1 for each clockwise 90° [centre] (0, 0)
Q16 · 216 Without using a calculator, work out 3 - 2
1 216 Without using a calculator, work out 3 - 2 . 4 3 You must show all your working and give your answer as a fraction in its simplest form. ................................................. [3]
Mark scheme: 16 Correct common denominator M1 Correct method M1 3 − 8 12 + 3 − 8 e.g. 1 or or 12 12 ((3 × 4) + 1) × 3 − ( ( 2 × 3 ) + 2 ) × 4 39 − 32 or 12 12 7 A1 cao 12
Q17 · A chef buys some cheese from France
17 A chef buys some cheese from France. 200 g of cheese costs 3.45 euros. The exchange rate is $1 = 0.84 euros. Work out the maximum mass of cheese the chef can buy with $150. Give your answer in kilograms, correct to 1 decimal place. ............................................ kg [4]
Mark scheme: 17 7.3 cao 4 150 × 0.84 M3 for 3.45 × 5 or B3 for final answer figs 73[04...] 150 × 0.84 3.45 × 5 or M2 for or 3.45 0.84 3.45 or M1 for 150 × 0.84 or 3.45 × 5 or 0.84
Q18 · Sonia wants to invest $5000 for 6 years
18 Sonia wants to invest $5000 for 6 years. Bank A pays compound interest at a rate of 3.5% per year. Bank B increases the $5000 by 22% at the end of 6 years. Which bank will give Sonia the most money at the end of 6 years and by how much? You must show all your working. Bank A Bank B Bank ................... will give $ ................... more money. [5]
Mark scheme: 18 A 46.28 5 M1 for 5000 × 1.035 6 A1 for 6146.27 to 6146.28 M1 for 5000 × 1.22 A1 for 6100
Q19 · By rounding each number correct to 1 significant figure, estimate the value of 71 # 32.4 2
19 By rounding each number correct to 1 significant figure, estimate the value of 71 # 32.4 2 . 4.8 You must show all your working. ................................................. [2]
Mark scheme: 19 70 × 30 2 M1 for two of 70, 30, 5 used 5 2 and 84
Q20 · Des thinks of two numbers
20 Des thinks of two numbers. The sum of his two numbers is -6. The difference between his two numbers is 62. Find the two numbers. ..................... and ..................... [4]
Mark scheme: 20 28, − 34 4 Trial and improvement OR B1 for x + y = –6 oe B1 for x – y = 62 oe B1 for 28 or − 34
Q21 · A solid cylinder has radius 3 cm and height 4.5 cm
21 A solid cylinder has radius 3 cm and height 4.5 cm. Calculate the total surface area of the cylinder. .......................................... cm2 [4]
Mark scheme: 21 141 or 141.3 to 141.4 4 M1 for [2 ×] π × 32 M2 for 2 × π × 3 × 4.5 or M1 for 2 × π × 3 [× 4.5]
What was in this paper
The subtopics covered by these 21 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.