Question 1
Question
Write 1 (a) as a percentage, 2 (b) 0�7 as a fraction, 11 (c) as a decimal� 20
Mark scheme
1(a) 50 1 1(b) 7 1 or equivalent fraction 10 1(c) 0.55 cao 1
Mathematics 0580/13 October/November 2021: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 1 (Core), October/November 2021. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_w21_qp_130580_w21_ms_130580/13/O/N/21
- Paper
- Paper 1 (Core)
- Total marks
- 56
- Time
- 1 hour
- Code on the paper
- 0580/13/O/N/21
0580/13 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 22 marks
Question
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� (b) Write AB as a vector� f p [1] (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
Question 3
Question
Find the number of minutes in 4 12 hours�
Mark scheme
3 270 1
Question 4
Question
Write down the mathematical name of this solid�
Mark scheme
4 Cone 1
Question 51 mark
Question
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
Question 6
Question
62 43 16 21 73 16 33 16 35 For this list of numbers find (a) the mode, (b) the median�
Mark scheme
6(a) 16 1 6(b) 33 2 M1 for listing first 5, or last 5 numbers in order
Question 7
Question
r = 2t + 3u Work out the value of t when r = 18 and u = 4�
Mark scheme
7 3 2 M1 for 18 = 2t + (3 × 4) or better
Question 8
Question
The temperature at midnight was -8 °C� The temperature at noon is 6 °C� (a) Work out the difference between these two temperatures� (b) The temperature at 7 am is 5 °C higher than the temperature at midnight� Work out the temperature at 7 am�
Mark scheme
8(a) 14 1 8(b) –3 1
Question 9
Question
The probability that it rains tomorrow is 0�47 � Find the probability that it does not rain tomorrow�
Mark scheme
9 0.53 oe 1
Question 10
Question
Write 26 g as a percentage of 208 g�
Mark scheme
10 12.5 1
Question 11
Question
11 13 15 17 19 From this list, write down the number that is both a prime number and a factor of 195�
Mark scheme
11 13 1
Question 121 mark
Question
(a) = ! 2 1 Put a ring around each of the symbols that make this statement correct� (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
Question 13
Question
x° NOT TO SCALE 132° The diagram shows two parallel lines intersecting a straight line� Find the value of x�
Mark scheme
13 48 2 B1 for 132 or 48 in the correct position on the diagram or M1 for 180 – 132
Question 14
Question
(a) These are the first four terms of a sequence� 17 23 29 35 Find the next term� (b) These are the first four terms of a different sequence� 3 -1 -5 -9 (i) Find the next term in this sequence� (ii) Find the nth term�
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
Question 15
Question
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�
Mark scheme
15 98 3 M2 for 68 × 6 – 62 × 5 or M1 for 68 × 6 or 62 × 5
Question 16
Question
Nina changes 153 euros into dollars when the exchange rate is $1 = 0�9 euros� Calculate the amount Nina receives�
Mark scheme
16 170 1
Question 17
Question
7 cm NOT TO 12 cm SCALE y cm The area of this trapezium is 96 cm2� Find the value of y�
Mark scheme
17 9 3 M2 for 7 + y = 16 or M1 for 0.5 × 12 × (7 + y) = 96 oe
Question 18
Question
Marek buys a computer for $420� He sells it at a loss of 15%� Calculate the selling price of this computer�
Mark scheme
18 357 2 15 M1 for 1 − × 420 oe 100 or B1 for 63
Question 19
Question
Calculate the radius of a circle with circumference 26 cm�
Mark scheme
19 4.14 or 4.137 to 4.138... 2 26 M1 for 2π
Question 20
Question
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
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
Question 21
Question
Find the interior angle of a regular 7-sided polygon� 11 3
Mark scheme
21 129 or 128. 6 or 128.57 to 128.57... 2 M1 for 180 – (360 ÷ 7) or (7–2) × 180 ÷ 7
Question 22
Question
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�
Mark scheme
22 11 9 M1 Allow any correct common denominator + oe 12k 12 12 2 A2 20 1 cao A1 for or equivalent improper fraction 3 12 or mixed number
Question 23
Question
(a) Simplify� 32g 32 ' 4g 4 (b) Factorise completely� 10j - 15j 2 (c) Expand the brackets and simplify� (x + 7) (x + 3)
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
Question 243 marks
Question
(a) 12.9 cm NOT TO 8.6 cm SCALE x cm Calculate the value of x� (b) 50° NOT TO y cm SCALE 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
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0580/13 questions
Where can I find the 0580/13 October/November 2021 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/13, October/November 2021 (0580_w21_ms_13), and the question paper (0580_w21_qp_13), to read or download, with each question's marking points written out underneath.
How many marks is 0580/13 out of?
Mathematics 0580/13 for October/November 2021 is out of 56 marks, with 1 hour to answer it.
Can I get my 0580/13 answers marked?
Yes. Upload your answers to 0580/13/O/N/21 as a PDF or photos, and CIE Buddy marks every question against this paper's official mark scheme, using Cambridge's marking rules. You get your score, each lost mark explained on your own script, and the topics to revise. It's a guide, not an official Cambridge grade.