Cambridge IGCSE Mathematics 0580 — 2020 Oct/Nov Paper 1 · Variant 1
0580/11/O/N/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 down the mathematical name for (a) an angle which is less than 90°…
1 Write down the mathematical name for (a) an angle which is less than 90°, ................................................. [1] (b) a polygon with 5 sides, ................................................. [1] (c) a quadrilateral with exactly one pair of parallel sides. ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1(a) Acute 1 1(b) Pentagon 1 1(c) Trapezium 1
Q2 · Hexagon perpendicular isosceles regular congruent Put a ring around the word that…
2 hexagon perpendicular isosceles regular congruent Put a ring around the word that describes two polygons that are the same shape and size. [1]
Mark scheme: 2 Congruent indicated only 1
Q3 · 3 Write in its simplest form
603 Write in its simplest form. 105 ................................................. [1]
Mark scheme: 3 4 1 cao 7
Question 4
4 Calculate. 1 - 82 .001 ................................................. [1]
Mark scheme: 4 6 1
Q5 · The diagram shows a rhombus
5 (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
Q6 · 24 m NOT TO SCALE x m 17 m 19 m 7 m The diagram shows a shape made from rectangles
6 24 m NOT TO SCALE x m 17 m 19 m 7 m The diagram shows a shape made from rectangles. The shape has a total area of 517 m2. Find the value of x. x = ................................................ [4]
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
Q7 · Hua cycles from her home to the library
7 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? ................................................. [1] (b) (i) Find her distance from home when she stops for a rest. ........................................... km [1] (ii) How long does she stop for a rest? .......................................... min [1] (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]
Q8 · A field, ABC, is in the shape of a triangle
8 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
Q9 · Alan and Beth share $1190 in the ratio Alan : Beth = 5 : 2
9 Alan and Beth share $1190 in the ratio Alan : Beth = 5 : 2. Work out how much Alan receives. $ ................................................ [2]
Mark scheme: 9 850[.00] 2 1190 M1 for 5 + 2
Question 10
10 Work out. 2 5 (a) + e- 3o e- 1o [1] f p 2 (b) 4 e- 5o [1] f p
Mark scheme: 10(a) 7 1 −4 10(b) 8 1 − 20
Q11 · Rangan buys 3.6 kg of potatoes and 2.8 kg of leeks
11 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. $ ................................................ [3]
Mark scheme: 11 1.75 3 M2 for (13.72 – 2.8 × 2.65) ÷ 3.6 oe or M1 for 2.8 × 2.65
Q12 · 2 - 9.5912 T = 4.085 # 2.35 By writing each number correct to 1 significant figure, work…
49.2 - 9.5912 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. ................................................. [2]
Mark scheme: 12 50 − 10 M1 Allow M1 for 3 out of 4 values correctly rounded 4 × 2 or for all correct but with any trailing zeros 5 A1 50 –1 0 dep on 4 × 2
Q13 · Write 18 as the product of its prime factors
13 (a) Write 18 as the product of its prime factors. ................................................. [2] (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. ................................................. [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
Q14 · 314 Without using a calculator, work out 2 # 2
2 314 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. ................................................. [3]
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
Q15 · Change 4.37 litres into cubic centimetres
15 Change 4.37 litres into cubic centimetres. .......................................... cm3 [1]
Mark scheme: 15 4370 1
Q16 · Make x the subject of this formula
16 Make x the subject of this formula. 2y = 5x - 7 x = ................................................ [2]
Mark scheme: 16 2 y + 7 2 y 7 2 2 y 7 [x =] oe or [x =] + oe M1 for 2y + 7 = 5x oe or = x − oe 5 5 5 5 5 final answer
Q17 · Trina invests $16 000 at a rate of 5% per year compound interest
17 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. $ ................................................ [2]
Mark scheme: 17 19 448.1[0] final answer 2 M1 for 16 000 (1 + 1005 )4 oe
Q18 · Aisha records the distance she runs and her average speed
18 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? ................................................. [1] (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. ........................................ km/h [1]
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
Q19 · A circle has a circumference of 56 mm
19 A circle has a circumference of 56 mm. Work out the radius of this circle. .......................................... mm [2]
Mark scheme: 19 8.91 or 8.911 to 8.913 2 56 M1 for 2π
Q20 · Y 12 11 L 10 9 8 7 6 5 4 3 2 1 0 x 1 2 3 4 5 6 Find the equation of line L in the form y…
20 y 12 11 L 10 9 8 7 6 5 4 3 2 1 0 x 1 2 3 4 5 6 Find the equation of line L in the form y = mx + c . y = ................................................ [2] 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
Q21 · NOT TO SCALE 10 cm x° 18 cm Calculate the value of x
21 (a) NOT TO SCALE 10 cm x° 18 cm Calculate the value of x. x = ................................................ [2] (b) NOT TO k cm SCALE 8 cm 15 cm Calculate the value of k. k = ................................................. [2]
Mark scheme: 21(a) 29.1 or 29.05… 2 10 M1 for tan [x =] 18 21(b) 17 2 M1 for 82 + 152
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.
2Geometrical terms2Time2Area and perimeter1Circles, arcs and sectors1Equations1Equations of linear graphs1Estimation1Percentages1Powers and roots1Rates1Ratio and proportion1Right-angled triangles1Scale drawings1Scatter diagrams1Symmetry1The four operations1Units of measure1What you needed in this session
Cambridge’s own grade thresholds for 2020 Oct/Nov, Paper 1 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.