Question 1
Question
Write down the mathematical name for (a) an angle which is less than 90°, (b) a polygon with 5 sides, (c) a quadrilateral with exactly one pair of parallel sides�
Mark scheme
1(a) Acute 1 1(b) Pentagon 1 1(c) Trapezium 1
Mathematics 0580/11 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_110580_w20_ms_110580/11/O/N/20
- Paper
- Paper 1 (Core)
- Total marks
- 56
- Time
- 1 hour
- Code on the paper
- 0580/11/O/N/20
0580/11 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 21 mark
Question
hexagon perpendicular isosceles regular congruent Put a ring around the word that describes two polygons that are the same shape and size� [1] 60
Mark scheme
2 Congruent indicated only 1
Question 3
Question
Write in its simplest form� 105
Mark scheme
3 4 1 cao 7
Question 4
Question
Calculate� 1 - 82 0.01
Mark scheme
4 6 1
Question 53 marks
Question
(a) The diagram shows a rhombus� On the diagram, draw all the lines of symmetry� [2] (b) Shade two squares so that the diagram has rotational symmetry of order 2� [1]
Mark scheme
5(a) Two diagonal lines only 2 B1 for one correct line with one incorrect or missing line or for two correct lines with maximum one incorrect line 5(b) 1
Question 6
Question
24 m NOT TO SCALE xm 17 m 19 m 7m The diagram shows a shape made from rectangles� The shape has a total area of 517 m2� Find the value of x�
Mark scheme
6 16 4 Accept any correct method e.g. M1 for 19 × 7 M1 for 517 – their 133 M1 for their 384 ÷ 24
Question 72 marks
Question
Hua cycles from her home to the library� The travel graph shows this journey� Library 12 11 10 9 8 Distance from home 7 (km) 6 5 4 3 2 1 Home 0 10 00 10 30 11 00 11 30 12 00 Time (a) At what time does she start her journey? (b) (i) Find her distance from home when she stops for a rest� (ii) How long does she stop for a rest? (c) Hua stays at the library for 10 minutes� She then cycles home at a constant speed of 24 km/h� Complete the travel graph� [2]
Mark scheme
7(a) 10 10 [am] 1 7(b)(i) 8 1 7(b)(ii) 20 1 7(c) Line from 2 B1 for either line correct (11 10, 12) to (11 20, 12) and ruled line from (their11 20, 12) If zero scored, B1 for to (their11 20 + 30, 0) 30 [min] or half an hour or 0.5 [hours]
Question 83 marks
Question
A field, ABC, is in the shape of a triangle� AC = 500 m and BC = 650 m� Using a ruler and compasses only, complete the scale drawing of the field ABC� Leave in your construction arcs� Use a scale of 1 cm to represent 100 m� The side AB has been drawn for you� A B Scale: 1 cm to 100 m [3]
Mark scheme
8 Correct triangle constructed with 3 B2 for correct triangle with no/incorrect AC= 5 cm and BC = 6.5 cm and arcs intersecting arcs or SC2 for accurate triangle with arcs but sides interchanged or B1 for 6.5 [cm] or 5 [cm] soi
Question 9
Question
Alan and Beth share $1190 in the ratio Alan : Beth = 5 : 2� Work out how much Alan receives�
Mark scheme
9 850[.00] 2 1190 M1 for 5+ 2
Question 102 marks
Question
Work out� 2 5 (a) e o + e o -3 -1 f p [1] 2 (b) 4 e o -5 f p [1]
Mark scheme
10(a) 7 1 −4 10(b) 8 1 −20
Question 11
Question
Rangan buys 3�6 kg of potatoes and 2�8 kg of leeks� The total cost is $13�72 � Leeks cost $2�65 per kilogram� Find the cost of 1 kg of potatoes� 49.2 - 9.59
Mark scheme
11 1.75 3 M2 for (13.72 – 2.8 × 2.65) ÷ 3.6 oe or M1 for 2.8 × 2.65
Question 12
Question
T= 4.085 # 2.35 By writing each number correct to 1 significant figure, work out an estimate for T� You must show all your working�
Mark scheme
12 50 − 10 M1 Allow M1 for 3 out of 4 values correctly 4× 2 rounded or for all correct but with any trailing zeros 5 A1 50 –10 dep on 4× 2
Question 13
Question
(a) Write 18 as the product of its prime factors� (b) At a bus stop • a red bus arrives every 18 minutes and • a blue bus arrives every 24 minutes� At 10 47 a red bus and a blue bus arrive� Find the next time when a red bus and a blue bus arrive together� 2 3
Mark scheme
13(a) 2 × 32 or 2 × 3 × 3 2 B1 for 2, 3, 3 may be seen in a factor tree or table 13(b) 11 59 3 B2 for 23 × 32 soi by 72 or 1[h] 12[min] or correct times of both buses to 11 59 or B1 for correct times of one bus to 11 59 or M1 for 23 × 3 or for 18, 36, 54 [...] and 24, 48 [...] or listing times of next 4 red buses and next 3 blue buses, follow through max 1 error or omission in each list
Question 14
Question
Without using a calculator, work out 2 # 2 � 3 4 You must show all your working and give your answer as a mixed number in its simplest form�
Mark scheme
14 8 11 M1 and oe improper fractions 3 4 88 A1 oe improper fraction 12 1 A1 Dep on first A1 7 cao final answer If M0 scored, 3 8 11 SC1 for or oe improper fraction 3 4
Question 15
Question
Change 4�37 litres into cubic centimetres�
Mark scheme
15 4370 1
Question 16
Question
Make x the subject of this formula� 2y = 5x - 7
Mark scheme
16 2y + 7 2y 7 2 2y 7 [x =] oe or [x =] + oe M1 for 2y + 7 = 5x oe or = x − oe 5 5 5 5 5 final answer
Question 17
Question
Trina invests $16 000 at a rate of 5% per year compound interest� Work out the value of her investment at the end of 4 years�
Mark scheme
17 19 448.1[0] final answer 2 M1 for 16 000 (1 + 5 )4 oe 100
Question 183 marks
Question
Aisha records the distance she runs and her average speed� The results are shown in the scatter diagram� 16 15 14 13 12 Average speed 11 (km/h) 10 9 8 7 6 5 0 1 2 3 4 5 6 7 8 9 10 Distance (km) (a) The table shows the results of four more runs� Distance (km) 4�2 5�7 7�1 8�8 Average speed (km/h) 13�4 11�8 9�8 8�3 On the scatter diagram, plot these points� [2] (b) What type of correlation is shown in the scatter diagram? (c) On the scatter diagram, draw a line of best fit� [1] (d) Use your line of best fit to estimate her average speed when she runs a distance of 6 km�
Mark scheme
18(a) 4 points correctly plotted 2 B1 for 2 or 3 points correctly plotted 18(b) Negative 1 18(c) Correct ruled line of best fit 1 18(d) 10 to 12 1 FT their straight line of best fit
Question 19
Question
A circle has a circumference of 56 mm� Work out the radius of this circle�
Mark scheme
19 8.91 or 8.911 to 8.913 2 56 M1 for 2π
Question 20
Question
y 12 11 L 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 x Find the equation of line L in the form y = mx + c � Question 21 is printed on the next page.
Mark scheme
20 [y =] 1.5x + 3 final answer 2 rise M1 for using correct values run or B1 for [y =] 1.5x + c or [y =] kx + 3, k ≠ 0 as final answer
Question 21
Question
(a) NOT TO 10 cm SCALE x° 18 cm Calculate the value of x� (b) NOT TO k cm SCALE 8 cm 15 cm Calculate the value of k�
Mark scheme
21(a) 29.1 or 29.05… 2 10 M1 for tan [x =] 18 21(b) 17 2 M1 for 82 + 152
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0580/11 questions
Where can I find the 0580/11 October/November 2020 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/11, October/November 2020 (0580_w20_ms_11), and the question paper (0580_w20_qp_11), to read or download, with each question's marking points written out underneath.
How many marks is 0580/11 out of?
Mathematics 0580/11 for October/November 2020 is out of 56 marks, with 1 hour to answer it.
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