Cambridge IGCSE Mathematics 0580 — 2021 Oct/Nov Paper 1 · Variant 3
0580/13/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 scheme5 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Write 1 (a) as a percentage, 2 ............................................
1 Write 1 (a) as a percentage, 2 ............................................. % [1] (b) 0.7 as a fraction, ................................................. [1] 11 (c) as a decimal. 20 ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1(a) 50 1 1(b) 7 1 or equivalent fraction 10 1(c) 0.55 cao 1
Q2 · Points A and B are plotted on the grid
2 Points A and B are plotted on the grid. y 4 3 B 2 1 – 3 – 2 – 1 0 1 2 3 x – 1 A – 2 – 3 (a) Write down the coordinates of point B. ( .................... , ....................) [1] (b) Write AB as a vector. [1] f p (c) On the grid, plot point C at (-2, 3). [1]
Mark scheme: 2(a) (2, 3) 1 2(b) 4 1 5 2(c) C plotted at (–2, 3) 1
Q3 · Find the number of minutes in 4 12 hours
3 Find the number of minutes in 4 12 hours. .......................................... min [1]
Mark scheme: 3 270 1
Q4 · Write down the mathematical name of this solid
4 Write down the mathematical name of this solid. ................................................. [1]
Mark scheme: 4 Cone 1
Q5 · Cheng spins a fair 6-sided spinner numbered 1 to 6
5 Cheng spins a fair 6-sided spinner numbered 1 to 6. On the probability scale, draw an arrow ( ) to show the probability that the spinner lands on 4. 0 1 [1]
Mark scheme: 5 Arrow at first mark 1
Q6 · 62 43 16 21 73 16 33 16 35 For this list of numbers find (a) the mode…
6 62 43 16 21 73 16 33 16 35 For this list of numbers find (a) the mode, ................................................. [1] (b) the median. ................................................. [2]
Mark scheme: 6(a) 16 1 6(b) 33 2 M1 for listing first 5, or last 5 numbers in order
Q7 · R = 2 t + 3u Work out the value of t when r = 18 and u = 4
7 r = 2 t + 3u Work out the value of t when r = 18 and u = 4. t = ................................................ [2]
Mark scheme: 7 3 2 M1 for 18 = 2t + (3 × 4) or better
Q8 · The temperature at midnight was -8 °C
8 The temperature at midnight was -8 °C. The temperature at noon is 6 °C. (a) Work out the difference between these two temperatures. ............................................ °C [1] (b) The temperature at 7 am is 5 °C higher than the temperature at midnight. Work out the temperature at 7 am. ............................................ °C [1]
Mark scheme: 8(a) 14 1 8(b) –3 1
Q9 · The probability that it rains tomorrow is 0.47
9 The probability that it rains tomorrow is 0.47 . Find the probability that it does not rain tomorrow. ................................................. [1]
Mark scheme: 9 0.53 oe 1
Q10 · Write 26 g as a percentage of 208 g
10 Write 26 g as a percentage of 208 g. ............................................. % [1]
Mark scheme: 10 12.5 1
Q11 · 11 13 15 17 19 From this list, write down the number that is both a prime number and a…
11 11 13 15 17 19 From this list, write down the number that is both a prime number and a factor of 195. ................................................. [1]
Mark scheme: 11 13 1
Question 12
12 (a) = ! 2 1 Put a ring around each of the symbols that make this statement correct. 0.5 .................... 5% [1] (b) Insert one pair of brackets to make this statement correct. 7 - 3 - 1 + 2 = 7 [1]
Mark scheme: 12(a) ≠ and > indicated 1 12(b) 7– (3 – 1) + 2 = 7 cao 1
Q13 · X° NOT TO SCALE 132° The diagram shows two parallel lines intersecting a straight line
13 x° NOT TO SCALE 132° The diagram shows two parallel lines intersecting a straight line. Find the value of x. x = ................................................ [2]
Mark scheme: 13 48 2 B1 for 132 or 48 in the correct position on the diagram or M1 for 180 – 132
Q14 · These are the first four terms of a sequence
14 (a) These are the first four terms of a sequence. 17 23 29 35 Find the next term. ................................................. [1] (b) These are the first four terms of a different sequence. 3 -1 -5 -9 (i) Find the next term in this sequence. ................................................. [1] (ii) Find the nth term. ................................................. [2]
Mark scheme: 14(a) 41 1 14(b)(i) –13 1 14(b)(ii) –4n + 7 oe final answer 2 B1 for –4n + k or jn + 7 (j ≠ 0) or for a correct answer spoilt
Q15 · Sara takes 5 tests
15 Sara takes 5 tests. Her mean score is 62. She takes another test and her mean score is now 68. Work out her score in the sixth test. ................................................. [3]
Mark scheme: 15 98 3 M2 for 68 × 6 – 62 × 5 or M1 for 68 × 6 or 62 × 5
Q16 · Nina changes 153 euros into dollars when the exchange rate is $1 = 0.9 euros
16 Nina changes 153 euros into dollars when the exchange rate is $1 = 0.9 euros. Calculate the amount Nina receives. $ ................................................ [1]
Mark scheme: 16 170 1
Q17 · 7 cm NOT TO 12 cm SCALE y cm The area of this trapezium is 96 cm2
17 7 cm NOT TO 12 cm SCALE y cm The area of this trapezium is 96 cm2. Find the value of y. y = ................................................ [3]
Mark scheme: 17 9 3 M2 for 7 + y = 16 or M1 for 0.5 × 12 × (7 + y) = 96 oe
Q18 · Marek buys a computer for $420
18 Marek buys a computer for $420. He sells it at a loss of 15%. Calculate the selling price of this computer. $ ................................................ [2]
Mark scheme: 18 357 2 15 M1 for 1 − × 420 oe 100 or B1 for 63
Q19 · Calculate the radius of a circle with circumference 26 cm
19 Calculate the radius of a circle with circumference 26 cm. ............................................ cm [2]
Mark scheme: 19 4.14 or 4.137 to 4.138... 2 26 M1 for 2π
Q20 · By writing each number in the calculation correct to 1 significant figure, find an…
20 By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of 4.3 # 30 .7 . 6.6 - 1.8 ................................................. [2]
Mark scheme: 20 4 ×30 M1 7 –2 24 nfww A1 If 0 scored, SC1 for 3 correct roundings or for all correct but with any trailing zeros
Q21 · Find the interior angle of a regular 7-sided polygon
21 Find the interior angle of a regular 7-sided polygon. ................................................. [2]
Mark scheme: 21 129 or 128. 6 or 128.57 to 128.57... 2 M1 for 180 – (360 ÷ 7) or (7–2) × 180 ÷ 7
Q22 · 322 Without using a calculator, work out +
11 322 Without using a calculator, work out + . 12 4 You must show all your working and give your answer as a mixed number in its simplest form. ................................................. [3]
Mark scheme: 22 11 9 M1 Allow any correct common denominator + oe 12k 12 12 2 A2 20 13 cao A1 for 12 or equivalent improper fraction or mixed number
Question 23
23 (a) Simplify. 32g 32 ' 4g 4 ................................................. [2] (b) Factorise completely. 10j - 15 j 2 ................................................. [2] (c) Expand the brackets and simplify. ( x + 7)( x + 3) ................................................. [2]
Mark scheme: 23(a) 8g28 final answer 2 B1 for kg28 or 8gk as final answer or correct answer seen and spoilt 23(b) 5j (2 – 3j) final answer 2 B1 for 5(2j– 3j2) or j(10 – 15j) as final answer or correct answer spoilt 23(c) x2 + 10x + 21 final answer 2 B1 for x2 + 7x + 3x + 21 with at least three terms correct
Q24 · 12.9 cm NOT TO 8.6 cm SCALE x cm Calculate the value of x
24 (a) 12.9 cm NOT TO 8.6 cm SCALE x cm Calculate the value of x. x = ................................................ [2] (b) 50° NOT TO SCALE y cm 3.8 cm Show that the value of y is 5.9, correct to 2 significant figures. [3]
Mark scheme: 24(a) 15.5 or 15.50... 2 M1 for 12.92 + 8.62 or better 24(b) 3.8 M2 3.8 y = M1 for cos 50 [=] or better cos50 y 5.91... A1
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.
2Averages and range2Fractions, decimals and percentages2Introduction to probability2Percentages2The four operations2Algebraic manipulation1Area and perimeter1Circles, arcs and sectors1Coordinates1Equations1Estimation1Ratio and proportion1Sequences1Surface area and volume1Time1Trigonometric functions1Types of number1What you needed in this session
Cambridge’s own grade thresholds for 2021 Oct/Nov, Paper 1 · Variant 3. A higher threshold means an easier paper — the bar moves with how the cohort did.