Question 11 mark
Question
Write two hundred thousand and seventeen in figures. …… [1]
Mark scheme
1 200 017 1
Mathematics 0580/12 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_120580_w20_ms_120580/12/O/N/20
- Paper
- Paper 1 (Core)
- Total marks
- 56
- Time
- 1 hour
- Code on the paper
- 0580/12/O/N/20
0580/12 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
Write 867 correct to the nearest ten. …… [1]
Mark scheme
2 870 1
Question 31 mark
Question
Write down the order of rotational symmetry of this regular octagon. …… [1]
Mark scheme
3 8 cao 1
Question 41 mark
Question
A bag contains 20 balls. 5 of these balls are red. A ball is picked at random from the bag. On the probability scale, draw an arrow ( ) to show the probability that this ball is red. 0 0.5 1 [1]
Mark scheme
4 Arrow at 0.25 1
Question 51 mark
Question
Work out the number of hours in 3 days. …… hours [1]
Mark scheme
5 72 1
Question 62 marks
Question
Write these in order of size, starting with the smallest. 11 16 41% 0.4 27 39 …… 1 …… 1 …… 1 …… [2] smallest
Mark scheme
6 11 16 2 B1 for 3 in correct order or 0.4 41% M1 for [0].407…, [0].41 and 27 39 [0].410….
Question 72 marks
Question
Solve the equation. 6 - 2x = 3x x = …… [2]
Mark scheme
7 1 6 2 M1 for 6 = 2x + 3x or better 1.2 or 1 or 5 5
Question 81 mark
Question
Work out the difference in temperature between - 6 °C and 5 °C. …… °C [1] 1
Mark scheme
8 11 1
Question 92 marks
Question
A = bc 2 4 Calculate the value of A when b = 3 and c = 6 . …… [2]
Mark scheme
9 27 2 M1 for 0.25 × 3 × 62 or better
Question 103 marks
Question
x° y° NOT TO SCALE 140° 120° The diagram shows a triangle drawn between a pair of parallel lines. Find the value of x and the value of y. x = …… y = …… [3]
Mark scheme
10 [x =] 60 3 B1 for [x =] 60 [y =] 80 B2 for [y =] 80 or B1 for 40 in correct position in diagram If 0 scored, SC1 for their x + their y = 140
Question 113 marks
Question
NOT TO SCALE A 10 cm 12 cm h B 5 cm 8 cm 16 cm The diagram shows cuboid A and cuboid B. Cuboid A has the same volume as cuboid B. Calculate the height, h, of cuboid B. h = …… cm [3]
Mark scheme
11 3 3 M2 for 12 × 8 × 5 ÷ (16 × 10) oe or M1 for 12 × 8 × 5 or 10 × 16 × h
Question 124 marks
Question
Fernando records the favourite sport of each of 20 people. football cricket rugby cricket rugby rugby football football rugby football cricket rugby tennis football tennis football rugby cricket football cricket (a) Complete the frequency table to show this information. You may use the tally column to help you. Favourite sport Tally Frequency Cricket Football Rugby Tennis [2] (b) Fernando wants to draw a pie chart to show this information. Work out the sector angle for football. …… [2]
Mark scheme
12(a) 5 2 B1 for two or three correct 7 6 2 12(b) 126 2 their 7 M1 for [×360] 20 360 or [their 7 ×] 20
Question 132 marks
Question
Increase 42 by 16%. …… [2]
Mark scheme
13 48.72 2 16 M1 for × 42 oe or better 100
Question 144 marks
Question
These are the first four terms of a sequence. 17 10 3 -4 (a) (i) Find the next term. …… [1] (ii) Write down the term to term rule for continuing this sequence. …… [1] (b) These are the first four terms of a different sequence. -2 2 6 10 Find an expression for the nth term. …… [2]
Mark scheme
14(a)(i) –11 1 14(a)(ii) Subtract 7 1 14(b) 4n – 6 oe final answer 2 B1 for 4n + j or kn – 6 k ≠ 0
Question 152 marks
Question
C NOT TO SCALE h cm A 6 cm B The area of triangle ABC is 27 cm 2 and AB = 6 cm. Calculate the value of h. h = …… [2]
Mark scheme
15 9 2 1 M1 for × 6 × h = 27 oe 2
Question 165 marks
Question
(a) y 7 6 A 5 4 L 3 2 1 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 x –1 –2 –3 –4 (i) Write down the coordinates of point A. ( …… , …… ) [1] (ii) On the grid, plot the point (2, - 3). [1] (iii) The line L is shown on the grid. Find the equation of the line L in the form y = mx + c . y = …… [2] (b) Write down the equation of the line parallel to y = 5x + 6 that passes through (0, - 7 ). y = …… [1] 5 1
Mark scheme
16(a)(i) (–2, 5) 1 16(a)(ii) Point plotted at (2, –3) 1 16(a)(iii) [y =] 0.5x +2 2 B1 for 0.5x + j or kx + 2 k ≠ 0 as final answer rise or M1 for with correct values run 16(b) [y=] 5x –7 1
Question 173 marks
Question
Without using a calculator, work out '1 . 6 3 You must show all your working and give your answer as a fraction in its simplest form. …… [3]
Mark scheme
17 5 3 5 8 M2 4 5 3 × or ÷ oe M1 for seen or for × their 6 4 6 6 3 6 4 5 their8 or for ÷ 6 6 5 A1 cao 8
Question 186 marks
Question
(a) The length, l cm, of a pencil is 18 cm, correct to the nearest centimetre. Complete the statement about the value of l. …… G l 1 …… [2] (b) (i) Write 9.314 # 10 5 as an ordinary number. …… [1] (ii) Calculate (4.1 # 10 - 3) # (8.9 # 10 7) . Give your answer in standard form. …… [2] (c) Calculate (8 + 4 # 75 0.6) . …… [1]
Mark scheme
18(a) 17.5 18.5 2 B1 for each If 0 scored, SC1 for both correct but reversed 18(b)(i) 931 400 1 18(b)(ii) 3.649 × 105 2 B1 for 364 900 or for a correct final answer not in standard form 18(c) 7.83 or 7.83[2…..] 1
Question 193 marks
Question
The length of one side of a rectangle is 12 cm. The length of the diagonal of the rectangle is 13 cm. Calculate the area of the rectangle. …… cm 2 [3]
Mark scheme
19 60 3 M2 for 12 × 132 − 12 2 or M1 for 132 − 122 or for 12 × their 5 from Pythagoras or trig
Question 202 marks
Question
Alex and Chris share sweets in the ratio Alex : Chris = 7 : 3. Alex receives 20 more sweets than Chris. Work out the number of sweets Chris receives. …… [2]
Mark scheme
20 15 2 M1 for 4 [parts] = 20 soi or x + 20 x a correct equation, e.g. = oe 7 3
Question 212 marks
Question
Write 825 as the product of its prime factors. …… [2]
Mark scheme
21 3 × 52 × 11 or 3 × 5 × 5 × 11 2 B1 for 3, 5, 5, 11 May be seen in a factor tree or table
Question 223 marks
Question
NOT TO SCALE x cm 36° 22 cm Show that the value of x is 27.2, correct to 3 significant figures. [3]
Mark scheme
22 22 M2 22 [x =] oe M1 for cos36 = or better oe cos36 x 27.19[3......] A1
Question 232 marks
Question
U Y V Z 12 cm 63 cm NOT TO SCALE T 54 cm X The diagram shows two similar triangles TUV and XYZ. Calculate UT. UT = …… cm [2]
Mark scheme
23 14 2 12 UT 54 63 M1 for = or = 54 63 12 UT 63 UT 54 12 or = or = or better 54 12 63 UT
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0580/12 questions
Where can I find the 0580/12 October/November 2020 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/12, October/November 2020 (0580_w20_ms_12), and the question paper (0580_w20_qp_12), to read or download, with each question's marking points written out underneath.
How many marks is 0580/12 out of?
Mathematics 0580/12 for October/November 2020 is out of 56 marks, with 1 hour to answer it.
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