Cambridge IGCSE Mathematics 0580 — 2021 Oct/Nov Paper 1 · Variant 1
0580/11/O/N/21 · 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 · Fraction Decimal Percentage 1 = 0.5 = 50 2 = 0.25 = ...................
1 Fraction Decimal Percentage 1 = 0.5 = 50 2 = 0.25 = .................... .................... 1 = = 20 5 .................... Complete the table. [3]
Mark scheme: Question Answer Marks Partial Marks 1 1 3 B1 for each in correct place oe fraction 25 4 0.2
Q2 · This shape is drawn on a 1 cm 2 grid
2 This shape is drawn on a 1 cm 2 grid. Find the perimeter of the shape. ............................................ cm [1]
Mark scheme: 2 24 1
Q3 · Write down the order of rotational symmetry of this shape
3 Write down the order of rotational symmetry of this shape. .................................................. [1]
Mark scheme: 3 2 1
Q4 · A B C E D Write down the letter of the shape that is congruent to the shaded shape
4 A B C E D Write down the letter of the shape that is congruent to the shaded shape. ................................................. [1]
Mark scheme: 4 E 1
Q5 · The number of items that each of 22 people buy in a supermarket is shown in the…
5 The number of items that each of 22 people buy in a supermarket is shown in the stem-and-leaf diagram. 1 1 3 6 6 2 0 2 2 2 4 8 9 3 1 1 5 8 9 9 4 2 4 6 7 8 Key: 1 | 1 represents 11 items (a) Find the mode. ................................................. [1] (b) Find the median. ................................................. [1]
Mark scheme: 5(a) 22 1 5(b) 30 1
Q6 · Change 2.7 kilometres into metres
6 (a) Change 2.7 kilometres into metres. ............................................. m [1] (b) Find the number of hours in 5 days. .............................................. h [1]
Mark scheme: 6(a) 2700 1 6(b) 120 1
Q7 · Hank flies from Los Angeles to Shanghai
7 Hank flies from Los Angeles to Shanghai. (a) The flight departs on Friday 22 July at 21 40. The flight takes 13 hours 35 minutes. The local time in Shanghai is 15 hours ahead of the local time in Los Angeles. Find the day, date and time in Shanghai when Hank’s flight arrives. Day ........................... , Date ........................... , Time ........................... [3] (b) The cost of the flight is $920. The exchange rate is $1 = 6.87 Chinese yuan. Find the cost of the flight in yuan. ......................................... yuan [1]
Mark scheme: 7(a) Sunday 24 [July] 0215 3 B1 for Sunday 24th [July] as final answer B2 for 02 15 oe as final answer or B1 for sight of any of these 12 40 oe, 11 15 oe, 28h 35min, 50 15, 35 15 or 02 15 oe spoilt or M1 for departure time + 13h35min + 15h evaluated as a time with one interval correctly added 7(b) 6320.4[0] 1
Q8 · P = 2n - 3t Find the value of n when P = 9 and t = 8
8 P = 2n - 3t Find the value of n when P = 9 and t = 8 . n = ................................................ [3]
Mark scheme: 8 16.5 oe 3 B2 for 2n = 33 9 + 3 × 8 or M2 for n = 2 or M1 for 2n – 3 × 8 = 9 or better
Q9 · The scale drawing shows the positions of two towns, P and Q
9 The scale drawing shows the positions of two towns, P and Q. The scale is 1 cm represents 4 km. North Q North P Scale: 1 cm to 4 km (a) Find the actual distance between town P and town Q. ........................................... km [2] (b) Measure the bearing of town Q from town P. ................................................. [1] (c) Town X is 28 km from town P on a bearing of 140°. On the scale drawing, mark the position of town X. [2]
Mark scheme: 9(a) 32.8 2 M1 for 8 [cm] to 8.4 [cm] seen or for their measurement [in cm] multiplied by 4 9(b) 065 1 9(c) X correctly placed 2 M1 for X on bearing of 140° from P 7 cm from P on a bearing of 140° or for X 7 cm from P If 0 scored, SC1 for X on bearing of 140 from Q and 7 cm from Q
Q10 · Chung invests $2460 at a rate of 3.5% per year simple interest
10 Chung invests $2460 at a rate of 3.5% per year simple interest. Calculate the total amount of his investment at the end of 4 years. $ ................................................ [3]
Mark scheme: 10 2804.4[0] final answer 3 2460 × 3.5 × 4 M2 for + 2460 oe 100 2460 × 3.5 × 4 or M1 for oe 100
Q11 · 125 people taste a new drink
11 125 people taste a new drink. Each person gives a score out of 5. The bar chart shows the results. 40 30 Number of people 20 10 0 0 1 2 3 4 5 Score Calculate the mean score. ................................................. [3]
Mark scheme: 11 3.08 3 M1 for [4 × 0 +] 15 × 1 + 23 × 2 + 36 × 3 + 19 × 4 + 28 × 5 fx M1 dep for 125
Q12 · 7, 13, 19, 25, … Find the next term in this sequence
12 (a) 7, 13, 19, 25, … Find the next term in this sequence. ................................................. [1] (b) 30, 26, 22, 18, … Write down the term to term rule for this sequence. ................................................. [1] (c) -1, 1, 3, 5, … Find the nth term for this sequence. ................................................. [2]
Mark scheme: 12(a) 31 1 12(b) Subtract 4 oe 1 12(c) 2n – 3 oe final answer 2 B1 for 2n + c or kn – 3 (k ≠ 0) or for 2n – 3 oe spoilt or –1 + 2(n – 1) spoilt
Q13 · A circular disc has circumference 250 cm
13 A circular disc has circumference 250 cm. Calculate the radius of the disc. ............................................ cm [2]
Mark scheme: 13 39.8 or 39.78 to 39.79 2 M1 for 250 ÷ 2π
Question 14
14 (a) Factorise completely. 18x 2 - 12x ................................................. [2] (b) Expand and simplify. ( x + 5)( x - 3) ................................................. [2]
Mark scheme: 14(a) 6x (3x – 2) final answer 2 B1 for correct answer spoilt or for correct partial factorisation as answer e.g. 2 (9x2 – 6x) or 3 (6x2 – 4x) or 6 (3x2 – 2x) or 2x (9x – 6) or 3x (6x – 4) or x (18x – 12) 14(b) x2 + 2x – 15 final answer 2 M1 for 3 correct terms from x2 – 3x + 5x – 15 soi
Q15 · Sophie buys 73 books for her school
15 Sophie buys 73 books for her school. Each book costs $21.95 . (a) By rounding each number correct to 1 significant figure, estimate the total cost of these books. $ ................................................ [1] (b) Write down whether this estimate is greater or less than the exact cost. Explain how you decide, without working out the exact cost. ............................... because ....................................................................................................... ..................................................................................................................................................... [1]
Mark scheme: 15(a) 70 × 20 and 1400 1 15(b) Less than [because] 1 If zero scored, SC1 for both values rounded down oe answer of 73 × 20 and 1460 in (a) with Less than [because] the cost of the book is rounded down oe
Q16 · Calculate the size of one interior angle of a regular octagon
16 Calculate the size of one interior angle of a regular octagon. ................................................. [2]
Mark scheme: 16 135 2 M1 for 180 – (360 ÷ 8) oe or ( 8 – 2 ) × 180 oe 8
Q17 · The table shows the relative frequency of the games won by a football team
17 The table shows the relative frequency of the games won by a football team. Result of game won lost drawn Relative frequency 0.1 The number of games lost is twice the number of games drawn. Complete the table. [3]
Mark scheme: 17 3 B2 for 0.6 oe or 0.3 oe lost drawn or M1 for 1 – 0.1 or 0.9 seen 0.6 oe 0.3 oe
Q18 · 218 Without using a calculator, work out 1 +
5 218 Without using a calculator, work out 1 + . 6 5 You must show all your working and give your answer as a mixed number in its simplest form. ................................................. [3]
Mark scheme: 18 25 or 55 12 M1 25 k or 55 k 12 k and Accept and 30 30 30 k 30 k 7 A2 67 k 37 k 2 cao A1 for or 1 30 30 k 30 k
Q19 · Y 8 6 L 4 2 x – 3 – 2 – 1 0 1 2 3 – 2 – 4 Find the equation of line L
19 y 8 6 L 4 2 x – 3 – 2 – 1 0 1 2 3 – 2 – 4 Find the equation of line L. Give your answer in the form y = mx + c . y = ................................................ [3]
Mark scheme: 19 [y =] 3x + 2 3 B2 for [y =] 3x + c as answer or M1 for a correct rise/run e.g. 6 ÷ 2 or final answer 8 − 2 2 − 0 or for a suitable right-angled triangle marked on graph with correct values shown for rise and run and B1 for [y =] mx + 2, m ≠ 0 as answer
Q20 · There are 50 families in a village
20 There are 50 families in a village. C = {families who own a car} B = {families who own a bicycle} 23 families own a car. 10 families own a car and a bicycle. 6 families own no cars and no bicycles. (a) Complete the Venn diagram. C B [2] (b) Find n ( C , B ) . ................................................. [1]
Mark scheme: 20(a) 2 B1 for at least 2 figures in the correct places 20(b) 44 1 FT their 3 values from (a) or 50 – their 6, provided answer is between 0 and 50
Q21 · 45° NOT TO 4.8 cm SCALE The diagram shows a sector of a circle with radius 4.8 cm and…
21 45° NOT TO 4.8 cm SCALE The diagram shows a sector of a circle with radius 4.8 cm and sector angle 45°. Calculate the area of the sector. ........................................ cm2 [2]
Mark scheme: 21 9.05 or 9.047 to 9.049 2 2 45 M1 for π × 4.8 × oe 360
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.
What you needed in this session
Cambridge’s own grade thresholds for 2021 Oct/Nov, Paper 1 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.