Cambridge IGCSE Mathematics 0580 — 2020 Feb/March Paper 1 · Variant 2
0580/12/F/M/20 · 19 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 3.25 pm in the 24-hour clock
1 (a) Write 3.25 pm in the 24-hour clock. ................................................. [1] (b) Work out the time 7 hours and 36 minutes before 13 26. ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1(a) 15 25 1 1(b) 05 50 1
Q2 · A B (a) Measure the length of the line AB in millimetres
2 A B (a) Measure the length of the line AB in millimetres. .......................................... mm [1] (b) AB is the diameter of a circle. Draw this circle. [2]
Mark scheme: 2(a) 94 1 2(b) Correct circle drawn 2 B1 for centre of AB marked
Q3 · The temperature on Monday was -7 °C
3 (a) The temperature on Monday was -7 °C. The temperature on Tuesday was 5 °C lower than on Monday. The temperature on Wednesday was 8 °C higher than on Tuesday. Find the temperature on Wednesday. ............................................ °C [2] (b) Kyra has a faulty thermometer. It always shows the temperature as 2 °C higher than the actual temperature. The temperature on the thermometer is T °C. Write an expression, in terms of T, for the actual temperature. ............................................ °C [1]
Mark scheme: 3(a) −4 2 B1 for −12 seen or M1 for −7 − 5 + 8 or better 3(b) T – 2 cao 1
Q4 · NOT TO SCALE 124° 107° x° Work out the value of x
4 NOT TO SCALE 124° 107° x° Work out the value of x. Give a geometrical reason for your answer. x = .................... because ................................................................................................................... [2]
Mark scheme: 4 129 2 B1 for each Angles at a point sum to 360 oe
Q5 · The diagram shows a fair 8-sided spinner
5 The diagram shows a fair 8-sided spinner. The numbers on the spinner are 3, 4, 4, 7, 7, 7, 8 and 9. (a) The spinner is spun once. Write down the probability that the spinner lands on (i) the number 7, ................................................. [1] (ii) a number greater than 2. ................................................. [1] (b) The spinner is spun 160 times. Work out the expected number of times the spinner lands on the number 7. ................................................. [1]
Mark scheme: 5(a)(i) 3 1 oe 8 5(a)(ii) 1 1 5(b) 60 1 FT their (a)(i)
Q6 · The month of July has 31 days
6 The month of July has 31 days. Calculate the number of seconds in the month of July. .................................... seconds [2]
Mark scheme: 6 2 678 400 2 M1 for [31 × ] 24 × 60 × 60 or for 31 × 24 [× 60][× 60] s
Q7 · A cuboid has length 3 cm, width 2 cm and height 1 cm
7 A cuboid has length 3 cm, width 2 cm and height 1 cm. On the 1 cm2 grid, draw a net of the cuboid. [3]
Mark scheme: 7 Correct net 3 B2 for 4 correctly connected faces drawn or B1 for 2 correct connected faces drawn or for 6 correct faces drawn
Q8 · Write down the reciprocal of 40
8 (a) Write down the reciprocal of 40. ................................................. [1] (b) Calculate 3 40 . Give your answer correct to 4 decimal places. ................................................. [2] (c) Write the number 40 in standard form. ................................................. [1]
Mark scheme: 8(a) 1 1 or 0.025 40 8(b) 3.4200 cao 2 B1 for 3.419 to 3.420 8(c) 4[.0] × 10[1] cao 1
Q9 · Write down the gradient of the line y = 2x - 3
9 (a) Write down the gradient of the line y = 2x - 3 . ................................................. [1] (b) Complete the table of values for y = 2x - 3 . x -2 0 3 y [2] (c) On the grid, draw the graph of y = 2x - 3 for - 2 G x G 3 . y 4 2 – 2 – 1 0 1 2 3 x – 2 – 4 – 6 – 8 [1]
Mark scheme: 9(a) 2 1 9(b) – 7 – 3 3 2 B1 for 2 correct 9(c) Correct ruled graph 1 FT their (b) provided it is a single ruled straight line
Q10 · Point A has coordinates (6, 4) and point B has coordinates (2, 7)
10 Point A has coordinates (6, 4) and point B has coordinates (2, 7). Write AB as a column vector. AB = [1] f p
Mark scheme: 10 − 4 1 3
Q11 · The number of people swimming in a pool is recorded each day for 12 days
11 The number of people swimming in a pool is recorded each day for 12 days. 24 28 13 38 15 26 45 21 48 36 18 38 (a) Complete the stem-and-leaf diagram. 1 2 3 4 Key: 1 3 represents 13 swimmers [2] (b) Find the median number of swimmers. ................................................. [1]
Mark scheme: 11(a) 1 3 5 8 2 M1 for correct but not ordered or for two 2 1 4 6 8 correct rows ordered 3 6 8 8 4 5 8 11(b) 27 1
Q12 · A bag contains red marbles, green marbles and blue marbles only
12 A bag contains red marbles, green marbles and blue marbles only. The ratio of the number of marbles of each colour is red : green : blue = 12 : 5 : 2. There are 112 more red marbles than green marbles. Work out the number of blue marbles. ................................................. [2]
Mark scheme: 12 32 2 112 M1 for 12 − 5
Q13 · 413 Without using a calculator, work out '
15 413 Without using a calculator, work out ' . 28 7 You must show all your working and give your answer as a fraction in its simplest form. ................................................. [3]
Mark scheme: 13 15 7 15 16 M1 × or ÷ oe 28 4 28 28 15 A2 105 cao A1 for oe 16 112
Q14 · NOT TO 8.5 cm SCALE 10.8 cm The diagram shows a right-angled triangle
14 NOT TO 8.5 cm SCALE 10.8 cm The diagram shows a right-angled triangle. (a) Calculate the area. .......................................... cm2 [2] (b) Calculate the perimeter. ............................................ cm [3]
Mark scheme: 14(a) 45.9 2 M1 for 0.5 × 8.5 × 10.8 oe 14(b) 33[.0] or 33.04… 3 2 2 M2 for 8.5 + 10.8 + 8.5 + 10.8 oe or M1 for 8.52 + 10.82 oe
Q15 · Riya invests $30 000 at a rate of 2.5% per year compound interest
15 Riya invests $30 000 at a rate of 2.5% per year compound interest. Calculate the value of her investment at the end of 7 years. Give your answer correct to the nearest dollar. $ ................................................. [3]
Mark scheme: 15 35 661 nfww 3 7 2.5 M1 for 30 000 × 1 + oe 100 A1 for 35 660.57 or correct evaluation but not rounded to the nearest dollar B1 for correctly rounding their answer to the nearest dollar
Question 16
16 (a) Simplify. 5 # x 0 ................................................. [1] (b) 9 12 ' 9 w = 9 4 Find the value of w. w = ................................................. [1]
Mark scheme: 16(a) 5 1 16(b) 8 1
Q17 · A NOT TO SCALE 4.6 m 37° B C The diagram shows a right-angled triangle ABC
17 A NOT TO SCALE 4.6 m 37° B C The diagram shows a right-angled triangle ABC. Calculate AB. AB = ............................................. m [2]
Mark scheme: 17 2.77 or 2.768… 2 h M1 for sin[37 = ] or better 4.6
Question 18
18 (a) Factorise completely. 3x 2 - 12xy ................................................. [2] (b) Expand and simplify. ( m - 3)( m + 2) ................................................. [2]
Mark scheme: 18(a) 3x(x – 4y) final answer 2 B1 for 3(x2 – 4xy) or x(3x – 12y) 18(b) m2 – m – 6 final answer 2 M1 for 3 terms from m2, –3m, +2m, –6
Q19 · A car travels at a constant speed of 45 kilometres per hour for 5 minutes
19 A car travels at a constant speed of 45 kilometres per hour for 5 minutes. Each wheel of the car has radius 25 centimetres. Calculate the number of complete revolutions that a wheel makes during the 5 minutes. ................................................. [5]
Mark scheme: 19 2387 cao 5 7500 M4 for oe π 60 figs 45 ÷ 5 or M3 for 2 × π × figs 25 60 or M2 for 2 × π × figs 25 and figs 45 ÷ 5 or M1 for 2 × π × figs 25 60 or for figs 45 ÷ 5
What was in this paper
The subtopics covered by these 19 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
2Algebraic manipulation1Angles1Area and perimeter1Circles, arcs and sectors1Classifying statistical data1Compound shapes and parts of shapes1Exponential growth and decay1Fractions, decimals and percentages1Indices I1Introduction to algebra1Introduction to probability1Powers and roots1Rates1Ratio and proportion1Right-angled triangles1The four operations1Vectors in two dimensions1What you needed in this session
Cambridge’s own grade thresholds for 2020 Feb/March, Paper 1 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.