Question 11 mark
Question
Draw the line of symmetry on this shape. [1]
Mark scheme
1 1 correct line of symmetry 1
Mathematics 0580/12 May/June 2021: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 1 (Core), May/June 2021. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_s21_qp_120580_s21_ms_120580/12/M/J/21
- Paper
- Paper 1 (Core)
- Total marks
- 56
- Time
- 1 hour
- Code on the paper
- 0580/12/M/J/21
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 22 marks
Question
Write down all the factors of 42. …… [2]
Mark scheme
2 1, 2, 3, 6, 7, 14, 21, 42 2 B1 for 6 correct, no errors or 7 correct and 1 error or all seen but 1 or 2 extra numbers or 1 × 42, 2 × 21, 3 × 14, 6 × 7
Question 31 mark
Question
P is a point on a line. P Draw a line through point P that is perpendicular to this line. [1]
Mark scheme
3 Ruled line at 90° to the given line 1 through or touching point P
Question 42 marks
Question
253 306 185 270 386 Calculate the mean of these numbers. …… [2]
Mark scheme
4 280 2 M1 for (253 + 306 + 185 + 270 + 386) ÷ 5
Question 52 marks
Question
The formula for changing a temperature measured in Celsius (°C) to Fahrenheit (°F) is 9C F= + 32 . 5 Use this formula to change 65°C to Fahrenheit. …… °F [2]
Mark scheme
5 149 2 M1 for 9 × 65 ÷ 5 [+32]
Question 63 marks
Question
(a) Without using a calculator, work out 9 + 5 # 7 - 4 ' 2 . You must show all your working. …… [2] (b) Insert one pair of brackets into this statement to make it correct. 9 + 5 # 7 - 4 ' 2 = 96 [1] 5 -2
Mark scheme
6(a) 9 + 35 − 2 M1 42 A1 6(b) (9 + 5) × 7 – 4 ÷ 2 = 96 cao 1
Question 71 mark
Question
a=e o b =e o -7 6 Work out a - b . f p [1]
Mark scheme
7 7 1 −13
Question 82 marks
Question
Write down the number that you (a) add to - 4 to give an answer of 9, …… [1] (b) subtract from - 9 to give an answer of - 4 . …… [1]
Mark scheme
8(a) 13 1 8(b) −5 1
Question 93 marks
Question
20 15 Number of students 10 5 0 1 to 20 21 to 40 41 to 60 61 to 80 81 to 100 Marks The bar chart shows the marks scored by a group of 55 students in an examination. Work out the percentage of this group of students who scored marks from 21 to 80. …… % [3] 7
Mark scheme
9 81.8 or 81.81 to 81.82 3 M2 for their12 + their15 + their18 [×100] oe 55 or M1 for their 12 + their 15 + their 18 oe
Question 101 mark
Question
The probability that Jane wins a game is . 10 Find the probability that Jane does not win the game. …… [1] 4
Mark scheme
10 3 1 oe 10
Question 111 mark
Question
Calculate 0.0256 . …… [1]
Mark scheme
11 2 1 0.4 or 5
Question 123 marks
Question
Emma has 15 mathematics questions to complete. The stem‑and‑leaf diagram shows the time, in minutes, it takes her to complete each question. 0 3 5 6 7 7 8 8 1 1 2 2 3 6 6 6 2 0 Key: 2 q0 = 20 minutes Complete the table. Mode …… min Median …… min Range …… min [3]
Mark scheme
12 3 B1 for each Mode 16 Median 11 Range 17
Question 133 marks
Question
(a) Complete these statements. The reciprocal of 0.2 is …… A prime number between 90 and 100 is …… [2] (b) 7 0.6 7 8 9 5 From this list, write down an irrational number. …… [1]
Mark scheme
13(a) 5 2 B1 for each 97 13(b) 7 1
Question 141 mark
Question
Find the value of x when 7 x ' 7 4 = 7 9 . x = …… [1]
Mark scheme
14 13 cao 1
Question 152 marks
Question
(a) Henrik draws this scatter diagram. Put a ring around the one correct statement about this scatter diagram. It shows It is not possible to tell if It shows negative It shows positive no correlation. there is correlation as there correlation. correlation. are not enough points. [1] (b) Each of the four scatter diagrams shows the same set of data. A line has been drawn on each diagram. Diagram A Diagram B Diagram C Diagram D Complete the statement. The line in Diagram …… is the most appropriate line of best fit. [1]
Mark scheme
15(a) It is not possible to tell if there is 1 correlation as there are not enough points 15(b) C 1
Question 163 marks
Question
A cuboid has a square base. The volume of this cuboid is 867 cm 3 and its height is 12 cm. Calculate the length of one side of the square base. …… cm [3]
Mark scheme
16 8.5 3 M2 for 867 ÷ 12 or M1 for 867 ÷ 12
Question 172 marks
Question
A rhombus has side length 6.5 cm. The rhombus can be constructed by drawing two triangles. Using a ruler and compasses only, construct the rhombus. Leave in your construction arcs. One diagonal of the rhombus has been drawn for you. [2] 2 3
Mark scheme
17 Accurate construction of rhombus with 2 B1 for accurate diagram with no/wrong sides 6.5 cm and correct construction arcs arcs or for one triangle (6.5 cm, 6.5 cm, 8 cm) correctly constructed with correct arcs or for four correct arcs
Question 183 marks
Question
Without using a calculator, work out '1 . 3 7 You must show all your working and give your answer as a fraction in its simplest form. …… [3]
Mark scheme
18 2 7 M2 10 × or B1 for oe 3 10 7 14 30 2 7 ÷ oe with common or M1 for × their 21 21 3 10 denominator 7 A1 cao 15
Question 194 marks
Question
A bag contains 5 red balls and 3 blue balls. Sophie takes a ball at random, notes its colour and then puts it back in the bag. She does this a second time. (a) Complete the tree diagram. First ball Second ball …… Red 5 Red 8 …… Blue …… Red …… Blue …… Blue [2] (b) Work out the probability that both of the balls she takes are blue. …… [2]
Mark scheme
19(a) 3 5 2 3 5 probabilities and oe correctly B1 for on first branch towards Blue 8 8 8 on the branches or one correct pair on the second branch 19(b) 9 2 FT their tree diagram for 2 marks oe 64 3 3 M1 for their × their 8 8
Question 202 marks
Question
NOT TO SCALE 12.5 cm 5 cm 32.5 cm 13 cm The diagram shows two cylinders. Show that the two cylinders are mathematically similar. [2]
Mark scheme
20 13 ÷ 5 = 2.6 2 M1 for 13 ÷ 5 = 2.6 or 32.5 ÷ 12.5 = 2.6 and 32.5 ÷ 12.5 = 2.6 or 32.5 ÷ 13 = 2.5 or 12.5 ÷ 5 = 2.5 or 32.5 ÷ 13 = 2.5 All are oe and 12.5 ÷ 5 = 2.5 or a correct pair of calculations without All are oe 2.6 or 2.5
Question 212 marks
Question
(a) Write 0.006 54 in standard form. …… [1] (b) The number 1.467 # 10 102 is written as an ordinary number. Write down the number of zeros that follow the digit 7. …… [1]
Mark scheme
21(a) 6.54 × 10−3 1 21(b) 99 1
Question 224 marks
Question
4x° NOT TO SCALE (3x + 75)° (87 - x)° The diagram shows a quadrilateral. Work out the value of x. x = …… [4]
Mark scheme
22 18 4 B3 for 6x = 108 or M2 for 4x + 3x + 75 + 87 – x + 90 =360 oe or better or M1 for 4x + 3x + 75 + 87 – x [+ 90] or better or M1 for 4x + 3x + 75 + 87 – x [+ 90] = k If zero scored, SC1 for ax = 108 (a ≠ 6) or for 6x = b (b ≠ 108)
Question 232 marks
Question
Work out the lowest common multiple (LCM) of 24 and 54. …… [2] Questions 24 and 25 are printed on the next page.
Mark scheme
23 216 2 B1 for 216k as final answer k ≠ 1 or M1 for [24=] 2 × 2 × 2 × 3 and [54=] 2 × 3 × 3 ×3 or 2 correct factor trees or correct tables or a list of multiples of both 24 and 54 with at least 3 of each or 2 × 2 × 2 × 3 × 3 × 3
Question 242 marks
Question
Expand and simplify. 5 (2x - 7) - 3 (x - 5) …… [2]
Mark scheme
24 7x – 20 final answer 2 B1 for 10x – 35 or 3x – 15 or −3x + 15 or for 7x or −20 in the final answer
Question 254 marks
Question
B NOT TO SCALE 72° O 9 cm A The diagram shows a sector of a circle, centre O, radius 9 cm. The sector angle is 72°. (a) Calculate the length of the arc AB. …… cm [2] (b) Calculate the area of the sector AOB. …… cm 2 [2]
Mark scheme
25(a) 11.3 or 11.305 to 11.312 2 72 M1 for × 2×9× π 360 25(b) 50.9 or 50.89 to 50.91 2 72 M1 for × 92 × π 360
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0580/12 questions
Where can I find the 0580/12 May/June 2021 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/12, May/June 2021 (0580_s21_ms_12), and the question paper (0580_s21_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 May/June 2021 is out of 56 marks, with 1 hour to answer it.
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