Cambridge IGCSE Mathematics 0580 — 2021 Oct/Nov Paper 1 · Variant 2
0580/12/O/N/21 · 24 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 the number four hundred thousand and four hundred in figures
1 (a) Write the number four hundred thousand and four hundred in figures. ................................................. [1] (b) Write 60 287 correct to the nearest ten. ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1(a) 400 400 1 1(b) 60 290 1
Q2 · Find the value of 345.96
2 Find the value of 345.96. ................................................. [1]
Mark scheme: 2 18.6 1
Q3 · Write down the mathematical name for this type of angle
3 Write down the mathematical name for this type of angle. ................................................. [1]
Mark scheme: 3 Acute 1
Q4 · Write 9% as a decimal
4 (a) Write 9% as a decimal. ................................................. [1] (b) Write 0.6 as a fraction in its simplest form. ................................................. [1]
Mark scheme: 4(a) [0].09 cao 1 4(b) 3 1 5
Q5 · Write down the reciprocal of 20
5 Write down the reciprocal of 20. ................................................. [1]
Mark scheme: 5 1 1 or [0].05 20
Q6 · Write down the order of rotational symmetry of a rectangle
6 (a) Write down the order of rotational symmetry of a rectangle. ................................................. [1] (b) Draw all the lines of symmetry on this equilateral triangle. [2]
Mark scheme: 6(a) 2 1 6(b) Three correct lines only 2 B1 for 1 or 2 correct lines and no incorrect lines If zero scored, SC1 for 3 correct lines and 1 additional incorrect line
Q7 · In triangle ABC, AB = 7 cm and BC = 5.6 cm
7 In triangle ABC, AB = 7 cm and BC = 5.6 cm. Using a ruler and compasses only, construct triangle ABC. Leave in your construction arcs. The line AC has been drawn for you. A C [2]
Mark scheme: 7 Accurate triangle with a correct pair of 2 B1 for correct triangle with no arcs or two arcs correct arcs If 0 scored, SC1 for triangle with correct arcs but lines interchanged
Q8 · The temperature at midnight is -8.5 °C
8 The temperature at midnight is -8.5 °C. The temperature at 11 am is -1 °C. Work out the difference between the temperature at midnight and the temperature at 11 am. ............................................. °C [1]
Mark scheme: 8 7.5 1
Q9 · Change 0.3 metres into centimetres
9 Change 0.3 metres into centimetres. ............................................ cm [1]
Mark scheme: 9 30 1
Q10 · Write down the mathematical name of this polygon
10 Write down the mathematical name of this polygon. ................................................. [1]
Mark scheme: 10 Pentagon 1
Q11 · NOT TO 3 cm SCALE 2.5 cm 5 cm The diagram shows a cuboid
11 NOT TO 3 cm SCALE 2.5 cm 5 cm The diagram shows a cuboid. On the 1cm2 grid, draw an accurate net of this cuboid. One face has been drawn for you. [3]
Mark scheme: 11 Correct ruled net 3 B2 for 3 or 4 correct faces in the correct places or B1 for 1 or 2 correct faces in the correct places
Q12 · The stem-and-leaf diagram shows the age, in years, of each of 15 women
12 The stem-and-leaf diagram shows the age, in years, of each of 15 women. 3 1 5 8 9 4 1 1 2 3 5 6 9 5 0 2 3 8 Key: 3 | 1 represents 31 years Complete these statements. The modal age is ............................... The median age is ............................... The percentage of women that are older than 51 years is ............................... %. [3]
Mark scheme: 12 41 3 B1 for each 43 20
Q13 · The price of a coat is 84.60 euros
13 The price of a coat is 84.60 euros. Find the price of the coat in dollars when the exchange rate is 1 euro = $1.15 . $ ................................................ [1]
Mark scheme: 13 97.29 1
Question 14
14 Work out. 3 - 5 (a) + e- 2o e 7o [1] f p 3 (b) 5 e- 1o [1] f p
Mark scheme: 14(a) −2 1 5 14(b) 15 1 −5
Q15 · Change 2.15 hours into minutes
15 Change 2.15 hours into minutes. .......................................... min [1]
Mark scheme: 15 129 1
Question 16
16 (a) Solve. 7x + 18 = 4 x = ................................................ [2] y 6 18 (b) 7 # 7 = 7 Find the value of y. y = ................................................ [1]
Mark scheme: 16(a) −2 2 18 4 M1 for 7x = 4 − 18 or x + = 7 7 16(b) 12 cao 1
Q17 · These are the first four terms of a sequence
17 These are the first four terms of a sequence. 3 10 17 24 (a) Write down the next term. ................................................. [1] (b) Write down the term to term rule. ........................................................................... [1] (c) Find the nth term. ................................................. [2] (d) Find the 40th term. ................................................. [2]
Mark scheme: 17(a) 31 1 17(b) + 7 oe 1 17(c) 7n – 4 oe 2 B1 for 7n + b or an – 4 (a ≠ 0) or for a correct answer (including unsimplified) shown in the working but spoilt 17(d) 276 2 FT their (c) M1 for their ax + b
Q18 · A 86° B x° NOT TO SCALE C 58° D Triangle ABC and triangle ACD are isosceles
18 A 86° B x° NOT TO SCALE C 58° D Triangle ABC and triangle ACD are isosceles. Angle DAB = 86° and angle ADC = 58°. Find the value of x. x = ................................................ [3]
Mark scheme: 18 79 nfww 3 M2 for x + x + 58 + 58 + 86 = 360 oe or 86 – (180 – 2 × 58) implied by CAB = 22 or B1 for DCA = 58 or BCA = x or DAC = 64
Q19 · Angelique rents a room for a party
19 Angelique rents a room for a party. The cost of renting the room is $15.50 for the first hour and then $7.25 for each additional hour. She pays $95.25 in total. Work out the total number of hours she rents the room for. ........................................ hours [3]
Mark scheme: 19 12 3 M2 for (95.25 – 15.5) ÷ 7.25 oe or (95.25 – (15.5 – 7.25)) ÷ 7.25 oe or M1 for 95.25 – 15.5 or B1 for 79.75
Q20 · 7 120 Without using a calculator, work out ' +
1 7 120 Without using a calculator, work out ' + . 3 6 5 You must show all your working and give your answer as a fraction in its simplest form. ................................................. [4]
Mark scheme: 20 1 6 2 7 M1 × or ÷ oe 3 7 6 6 2 A1 oe 7 2 1 M1 10 7 their + with a correct method to find e.g. + oe 7 5 35 35 fractions with a common denominator 17 A1 If order of operations not correct, SC2 for cao 35 10 answer with correct working for 41 1 7 1 ÷ + 3 6 5 35 6 or SC1 for + oe 30 30
Q21 · Work out the size of one interior angle of a regular 10-sided polygon
21 Work out the size of one interior angle of a regular 10-sided polygon. ................................................. [2]
Mark scheme: 21 144 2 M1 for 180 – (360 ÷ 10) oe or (10 − 2) × 180 oe 10
Q22 · In a group of 650 people, 117 are left-handed
22 In a group of 650 people, 117 are left-handed. Find the expected number of left-handed people in a group of 5000 people. ................................................. [2]
Mark scheme: 22 900 2 117 M1 for [5000 ×] 650
Q23 · At an airport, 216 people are asked whether they speak English (E ) or French (F )
23 (a) At an airport, 216 people are asked whether they speak English (E ) or French (F ). 125 speak English. 43 speak both English and French. 61 do not speak English or French. E F (i) Complete the Venn diagram. [2] (ii) Find n(F ). ................................................. [1] (b) A B On this Venn diagram, shade the region A + B . [1] Question 24 is printed on the next page.
Mark scheme: 23(a)(i) 2 B1 for at least two figures in the correct E F places 82 43 30 61 23(a)(ii) 73 1 FT their Venn diagram 23(b) Correct shading for A∩B 1
Q24 · Yasmin has 4 white flowers, 3 red flowers and x yellow flowers
24 Yasmin has 4 white flowers, 3 red flowers and x yellow flowers. She picks a flower at random. The probability that it is white is 1. 5 Find the probability that it is yellow. ................................................. [4]
Mark scheme: 24 13 4 B3 for [x =] 13 oe 20 or M2 for x + 3 + 4 = 4 × 5 oe or 4 × 5 – 4 – 3 1 4 or M1 for 4 × 5 or = 5 4 + 3 + x
What was in this paper
The subtopics covered by these 24 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
2Area and perimeter2Fractions, decimals and percentages2Types of number2Averages and range1Classifying statistical data1Equations1Geometrical constructions1Geometrical terms1Introduction to probability1Percentages1Powers and roots1Rates1Ratio and proportion1Sequences1Symmetry1The four operations1Time1Units of measure1Vectors in two dimensions1What you needed in this session
Cambridge’s own grade thresholds for 2021 Oct/Nov, Paper 1 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.