Cambridge IGCSE Mathematics 0580 — 2020 Oct/Nov Paper 1 · Variant 3
0580/13/O/N/20 · 23 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 scheme5 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · This bar chart shows the amount of rainfall, in mm, for each month of one year in a city
1 This bar chart shows the amount of rainfall, in mm, for each month of one year in a city. 60 50 40 Rainfall 30 (mm) 20 10 0 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Month (a) Write down the month with the least amount of rainfall. ................................................. [1] (b) This bar chart shows the number of days it rained each month for the same year in this city. 20 15 Number 10 of days 5 0 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Month Mia says that the months with the most rainfall also have the greatest number of days it rained. Explain why she is wrong. ..................................................................................................................................................... ..................................................................................................................................................... [1]
Mark scheme: Question Answer Marks Partial Marks 1(a) Feb 1 1(b) September and October have most 1 rainfall, June has most rain days oe
Question 2
2 Complete this bill. 2.5 kg potatoes at $1.12 per kg $ ........................ ............... kg bananas at $1.05 per kg $ ........................ Total = $ 4.69 [3]
Mark scheme: 2 2.8[0] 3 B1 for 2.8[0] 1.8 1.89 B1FT for 1.89 B1FT for 1.8
Q3 · Write 97.4236 correct to 3 decimal places
3 (a) Write 97.4236 correct to 3 decimal places. ................................................. [1] (b) Write down the reciprocal of 2. ................................................. [1]
Mark scheme: 3(a) 97.424 1 3(b) 1 1 or 0.5 2
Q4 · Write down the order of rotational symmetry of each shape
4 Write down the order of rotational symmetry of each shape. ......................... ......................... [2]
Mark scheme: 4 4 2 2 B1 for each
Q5 · The mean of seven numbers is 16
5 The mean of seven numbers is 16. Six of these numbers are 12, 20, 19, 10, 21 and 13. Find the seventh number. ................................................. [2]
Mark scheme: 5 17 2 M1 for 7 × 16
Q6 · In triangle ABC, BC = 7.6 cm and AC = 6.2 cm
6 In triangle ABC, BC = 7.6 cm and AC = 6.2 cm. Using a ruler and compasses only, construct triangle ABC. Leave in your construction arcs. The side AB has been drawn for you. A B [2]
Mark scheme: 6 Accurate triangle with correct 2 B1 for accurate triangle with no/incorrect construction arcs arcs or SC1 for accurate triangle with arcs with sides interchanged
Q7 · This table shows the temperature, in °C, at midnight and at 3 pm for four cities on the…
7 (a) This table shows the temperature, in °C, at midnight and at 3 pm for four cities on the same day. City Temperature at midnight (°C) Temperature at 3 pm (°C) Sydney 21 28 Oslo –3 1 Toronto –18 –8 Seoul –5 4 Use the table to complete this statement. The city with the biggest difference in temperature between midnight and 3 pm is .................................................. with a difference of ................................°C. [2] (b) The temperature at midnight in Moscow was –11 °C. At 3 pm the temperature has increased by 5 °C. Work out the temperature at 3 pm. ............................................. °C [1]
Mark scheme: 7(a) Toronto 10 2 B1 for each 7(b) –6 1
Question 8
8 Calculate. 4 .00025 ................................................. [1]
Mark scheme: 8 80 1
Q9 · Thor changes 40 000 Icelandic Krona into dollars when the exchange rate is 1 krona =…
9 Thor changes 40 000 Icelandic Krona into dollars when the exchange rate is 1 krona = $0.0099 . Work out how many dollars he receives. $ ................................................ [1]
Mark scheme: 9 396 1
Q10 · Ethan invests $6400 at a rate of 2.6% per year simple interest
10 Ethan invests $6400 at a rate of 2.6% per year simple interest. Calculate the total value of his investment at the end of 3 years. $ ................................................ [3]
Mark scheme: 10 6899.2[0] final answer 3 6400 × 2.6 × 3 M2 for + 6400 100 6400 × 2.6 × 3 or M1 for 100
Q11 · A straight line, l, has equation y = 5 x + 12
11 A straight line, l, has equation y = 5 x + 12 . (a) Write down the gradient of line l. ................................................. [1] (b) Find the coordinates of the point where line l crosses the x-axis. ( ....................... , ......................) [2]
Mark scheme: 11(a) 5 1 11(b) ( − 125 oe, 0) 2 M1 for 5x + 12 = 0
Q12 · A cuboid has length 5 cm, width 4 cm and height 3 cm
12 (a) A cuboid has length 5 cm, width 4 cm and height 3 cm. On the 1 cm2 grid, complete the net of the cuboid. One face has been drawn for you. [3] (b) Find the volume of the cuboid. .......................................... cm3 [2]
Mark scheme: 12(a) Complete correct ruled net 3 B2 for 3 or 4 correct rectangles in correct places or B1 for 1 or 2 correct rectangles in correct places 12(b) 60 2 M1 for 5 × 4 × 3
Q13 · 7 cm NOT TO x cm SCALE 6 cm 12 cm 11 cm The area of the parallelogram is the same as the…
13 7 cm NOT TO x cm SCALE 6 cm 12 cm 11 cm The area of the parallelogram is the same as the area of the trapezium. Work out the value of x. x = ................................................ [3]
Mark scheme: 13 8 3 M2 for 12 × (7 + 11) × x = 12 × 6 or better or M1 for 12 × 6 or 12 × (7 + 11) × x
Q14 · The length, l cm, of a line is 18.3 cm, correct to the nearest millimetre
14 The length, l cm, of a line is 18.3 cm, correct to the nearest millimetre. Complete this statement about the value of l. .................... G l 1 .................. [2]
Mark scheme: 14 18.25, 18.35 2 B1 for each or SC1 for both values correct but reversed
Q15 · By writing each number correct to 1 significant figure, estimate the value of 37.8 # 13 .2
15 By writing each number correct to 1 significant figure, estimate the value of 37.8 # 13 .2 . 28.5 + 22.1 You must show all your working. ................................................. [2]
Mark scheme: 15 40 × 10 M1 Allow M1 for 3 out of 4 values correctly rounded 30 + 20 or for all correct but with any trailing zeros 8 A1 40 × 10 Dep on 30 + 20
Q16 · A bag contains 7 red discs, 5 green discs and 2 pink discs
16 A bag contains 7 red discs, 5 green discs and 2 pink discs. Helen takes one disc at random, records the colour and replaces it in the bag. She does this 140 times. Find how many times she expects to take a green disc. ................................................. [2]
Mark scheme: 16 50 2 5 140 M1 for [× 140] or [×5] 7 + 5 + 2 7 + 5 + 2
Q17 · Expand the brackets and simplify
17 Expand the brackets and simplify. 4 ( 2m + 3) - 5 ( m - 2) ................................................. [2]
Mark scheme: 17 3m + 22 final answer 2 B1 for 8m + 12 or –5m + 10 or jm + 22 or 3m + k as final answer
Q18 · Ramond walks 2460 metres in 33 minutes
18 Ramond walks 2460 metres in 33 minutes. Work out Ramond’s average speed in kilometres per hour. ........................................ km/h [3]
Mark scheme: 18 4.47 or 4.472 to 4.473 3 2460 33 M2 for ÷ oe 1000 60 or B2 for figs 4472[7...] or 4473 or M1 for figs 246 ÷ their time or B1 for 2.46 or 0.55 seen
Q19 · A regular polygon has an exterior angle of 20°
19 A regular polygon has an exterior angle of 20°. Work out the number of sides of this polygon. ................................................. [1]
Mark scheme: 19 18 1
Q20 · 120 Without using a calculator, work out 1 # 2
1 120 Without using a calculator, work out 1 # 2 . 7 10 You must show all your working and give your answer as a mixed number in its simplest form. ................................................. [3]
Mark scheme: 20 8 21 M1 and oe improper fractions 7 10 168 A1 oe improper fractions 70 2 A1 Dep on first A1 2 cao final answer 8 21 5 If M0 scored, SC1 for or oe 7 10 improper fractions
Q21 · = {children in a group} R = {children who own a rabbit} H = {children who own a…
21 = {children in a group} R = {children who own a rabbit} H = {children who own a hamster} There are 40 children in the group. 19 children own a rabbit. 27 children own a hamster. (a) Complete the Venn diagram. R H 16 5 [2] (b) Write down n ( R + H ) . ................................................. [1]
Mark scheme: 21(a) 8, 11 2 B1 for one correct or for their two values adding to 19 21(b) 11 1 FT their 11
Q22 · P Q NOT TO SCALE 7.2 cm 11.5 cm R Calculate PQ
22 P Q NOT TO SCALE 7.2 cm 11.5 cm R Calculate PQ. PQ = ........................................... cm [3]
Mark scheme: 22 8.97 or 8.967… 3 M2 for 11.52 – 7.22 or better or M1 for PQ2 + 7.22 = 11.52 or better
Q23 · Solve the simultaneous equations
23 Solve the simultaneous equations. You must show all your working. 3x - 8y = 22 x + 4y = 4 x = ................................................ y = ................................................ [3]
Mark scheme: 23 Correctly eliminates one variable M1 [x =] 6 A2 A1 for either correct [y =] –0.5 oe If M0 scored, SC1 for 2 values satisfying one of the original equations
What was in this paper
The subtopics covered by these 23 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
2Rates2Ratio and proportion2Algebraic manipulation1Area and perimeter1Averages and range1Classifying statistical data1Equations1Equations of linear graphs1Estimation1Fractions, decimals and percentages1Geometrical constructions1Interpreting statistical data1Introduction to probability1Money1Powers and roots1Pythagoras’ theorem1Surface area and volume1Symmetry1The four operations1What you needed in this session
Cambridge’s own grade thresholds for 2020 Oct/Nov, Paper 1 · Variant 3. A higher threshold means an easier paper — the bar moves with how the cohort did.