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Mathematics 0580/13 October/November 2020: question paper and mark scheme

Cambridge IGCSE Mathematics (0580), Paper 1 (Core), October/November 2020. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.

0580_w20_qp_130580_w20_ms_130580/13/O/N/20

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Paper
Paper 1 (Core)
Total marks
56
Time
1 hour
Code on the paper
0580/13/O/N/20
0580_w20_ms_13.pdf

0580/13 mark scheme, question by question

Each question as it's printed, and the mark scheme's points for it, as text. Diagrams, tables and graphs are in the PDFs above.

Question 12 marks

Question

This bar chart shows the amount of rainfall, in mm, for each month of one year in a city. 60 50 40 Rainfall (mm) 30 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 of days 10 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

1(a) Feb 1 1(b) September and October have most 1 rainfall, June has most rain days oe

Question 23 marks

Question

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

Question 32 marks

Question

(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

Question 42 marks

Question

Write down the order of rotational symmetry of each shape. [2]

Mark scheme

4 4 2 2 B1 for each

Question 52 marks

Question

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

Question 62 marks

Question

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

Question 73 marks

Question

(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 81 mark

Question

Calculate. 4 0.0025 …… [1]

Mark scheme

8 80 1

Question 91 mark

Question

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

Question 103 marks

Question

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

Question 113 marks

Question

A straight line, l, has equation y = 5x + 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

Question 125 marks

Question

(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

Question 133 marks

Question

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

Question 142 marks

Question

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

Question 152 marks

Question

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 30 + 20 rounded or for all correct but with any trailing zeros 8 A1 40 × 10 Dep on 30 + 20

Question 162 marks

Question

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

Question 172 marks

Question

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

Question 183 marks

Question

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

Question 191 mark

Question

A regular polygon has an exterior angle of 20°. Work out the number of sides of this polygon. …… [1] 1 1

Mark scheme

19 18 1

Question 206 marks

Question

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] 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

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 5 8 21 If M0 scored, SC1 for or oe 7 10 improper fractions

Question 21

Question

In the question paper above.

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

Question 223 marks

Question

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

Question 233 marks

Question

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

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Where can I find the 0580/13 October/November 2020 mark scheme?

On this page, free: the mark scheme for IGCSE Mathematics 0580/13, October/November 2020 (0580_w20_ms_13), and the question paper (0580_w20_qp_13), to read or download, with each question's marking points written out underneath.

How many marks is 0580/13 out of?

Mathematics 0580/13 for October/November 2020 is out of 56 marks, with 1 hour to answer it.

Can I get my 0580/13 answers marked?

Yes. Upload your answers to 0580/13/O/N/20 as a PDF or photos, and CIE Buddy marks every question against this paper's official mark scheme, using Cambridge's marking rules. You get your score, each lost mark explained on your own script, and the topics to revise. It's a guide, not an official Cambridge grade.