Question 13 marks
Question
(a) Complete this statement. The diagram has rotational symmetry of order …… [1] (b) On the diagram, draw all the lines of symmetry. [2]
Mark scheme
1(a) 2 1 1(b) 2 correct lines 2 B1 for each
Mathematics 0580/12 February/March 2021: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 12 Core, February/March 2021. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_m21_qp_120580_m21_ms_120580/12/F/M/21
- Paper
- Paper 12 Core
- Total marks
- 56
- Time
- 1 hour
- Code on the paper
- 0580/12/F/M/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 23 marks
Question
(a) On the grid, draw a kite. [1] (b) Write down two geometrical properties of a rhombus. 1. …… 2. …… [2]
Mark scheme
2(a) Any kite drawn 1 2(b) Two correct geometrical properties 2 B1 for 1 correct property
Question 31 mark
Question
Calculate the value of 7.29 . …… [1]
Mark scheme
3 2.7[0] 1
Question 41 mark
Question
Write down a multiple of 9 between 100 and 110. …… [1]
Mark scheme
4 108 1
Question 53 marks
Question
(a) Tanvi rounds the number 4896. She writes down 4900. Rahul says Tanvi rounded 4896 correct to the nearest 100. Explain why Rahul cannot be certain that Tanvi rounded 4896 correct to the nearest 100. …… [1] (b) Calculate. 6.4 # 4 2 17.9 - 6.1 Give your answer correct to 3 decimal places. …… [2]
Mark scheme
5(a) A correct alternative rounding 1 e.g. Tanvi rounded to nearest 10 5(b) 8.678 2 512 40 M1 for or 8 or 8.68 or 8.67 or 59 59 8.677…
Question 64 marks
Question
These are the heights of four sisters. 1.61 m 1.65 m 1.53 m 1.58 m (a) Work out the range of these heights. Give your answer in centimetres. …… cm [2] (b) The four sisters have a brother. The range of the five heights is 18 cm. Work out the two possible heights of the brother. …… m or …… m [2]
Mark scheme
6(a) 12 2 M1 for 1.65−1.53 soi by figs 12 or B1 for a clear subtraction seen of any 2 heights correctly converted to cm 6(b) 1.47 1.71 2 B1 for each or M1 for 1.65 − 0.18 or 1.53 + 0.18
Question 72 marks
Question
Work out. -3 (a) 2 e o 7 f p [1] 8 -5 (b) e o + e o -6 2 f p [1]
Mark scheme
7(a) −6 1 14 7(b) 3 1 −4
Question 82 marks
Question
Sahil and Anika share $78 in the ratio 5 : 8. Calculate the amount each receives. Sahil $ …… Anika $ …… [2]
Mark scheme
8 30 2 78 48 M1 for × k oe where k = 1, 5 or 8 5+8
Question 93 marks
Question
NOT TO SCALE 3 cm 4 cm The diagram shows a prism. The cross-section of the prism is an equilateral triangle. Draw a net of the prism on the 1cm 2 grid. [3]
Mark scheme
9 Correct net 3 B1 for one correct face drawn B1 for 3 rectangles and 2 triangles drawn in correct places, but not the correct size
Question 102 marks
Question
The number of passengers on a bus is recorded each day for 14 days. 15 18 22 17 35 38 24 19 19 24 25 31 36 29 Complete the stem-and-leaf diagram. 1 2 3 Key: 1q5 represents 15 passengers [2]
Mark scheme
10 2 B1 for two rows correct or for a fully correct 1 57899 unordered stem-and-leaf diagram or for a 2 24459 correct diagram with one leaf incorrect or omitted 3 1568
Question 113 marks
Question
The mean of nine numbers is 17. Seven of these numbers add to 132. The other two numbers have a difference of 5. Find the two numbers with a difference of 5. …… , …… [3]
Mark scheme
11 8 13 3 9 × 17 − 132 M2 for 2 or M1 for 9 ×17
Question 122 marks
Question
Factorise completely. 9t 2 w - 3t …… [2]
Mark scheme
12 3 t ( 3 tw − 1 ) final answer ( ) 2 B1 for 3 3t 2 w − t or for t ( 9 tw − 3 )
Question 133 marks
Question
Saanvi makes some biscuits. 5 She sells of the biscuits. 13 She now has 96 biscuits left. Work out the total number of biscuits Saanvi makes. …… [3]
Mark scheme
13 156 3 8 M1 for 96 = x 13 M1 for 96 × 13 = 8x or better
Question 144 marks
Question
These are the first four terms of a sequence. 29 22 15 8 (a) Write down the next two terms. …… , …… [2] (b) Find the nth term. …… [2]
Mark scheme
14(a) 1 −6 2 B1 for each If 0 scored, SC1 for two terms with a difference of −7 14(b) 36 − 7n oe final answer 2 B1 for 36 + jn, j ≠ 0 or k − 7n or for correct answer shown in working and then spoilt
Question 152 marks
Question
Find the lowest common multiple (LCM) of 18 and 21. …… [2]
Mark scheme
15 126 2 B1 for 126k as final answer k ≠1 or M1 for [1 8 = ] 2 × 3 × 3 and [ 2 1 = ] 3 × 7 or 2 correct factor trees or 18, 36, 54, … and 21, 42, 63,.. or 2 × 3× 3× 7 or better
Question 163 marks
Question
(a) Write 567 000 000 in standard form. …… [1] (b) 6.5 # 10 -2 6.1 # 10 -1 6.2 # 10 2 6.79 # 10 1 6.18 # 10 2 6.35 # 10 -2 Calculate the product of the largest number and the smallest number from this list. Give your answer in standard form. …… [2]
Mark scheme
16(a) 5.67 × 108 1 16(b) 3.937 × 101 2 M1 for 6.35 × 10 −2 × k or j × 6 .2 × 1 0 2 where j and k are another number from the list or B1 for 6.35 × 10 − 2 and 6.2 ×102 selected or for figs 3937
Question 172 marks
Question
P A NOT TO SCALE x cm 1.61 cm R 3.2 cm Q C 2.8 cm B Triangle ABC is mathematically similar to triangle PQR. Find the value of x. x = …… [2]
Mark scheme
17 1.84 2 1.61 2.8 M1 for = oe x 3.2
Question 183 marks
Question
(a) Simplify. (i) x 12 ' x 3 …… [1] 5 (ii) ( y 2) …… [1] 1 (b) 3p = 81 Find the value of p. p = …… [1] 1 2
Mark scheme
18(a)(i) 𝑥 cao 1 18(a)(ii) 𝑦 cao 1 18(b) −4 1
Question 193 marks
Question
Without using a calculator, work out 2 # 3 . 4 3 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]
Mark scheme
19 9 11 M1 and oe improper fractions 4 3 99 A1 oe improper fraction 12 1 A1 dep on 1st A1 8 cao final answer 4 9 11 If M0 scored, SC1 for or oe improper 4 3 fraction
Question 204 marks
Question
Solve the simultaneous equations. You must show all your working. 5x + 6y = 14 2x + 8y = 7 x = …… y = …… [4]
Mark scheme
20 Correctly equating one set of M1 or making x or y the subject of one equation coefficients correctly Correct method to eliminate one M1 or substitution for x or y for their rearranged variable formula x = 2.5 A2 A1 for one correct value If M0 scored, SC1 for 2 values satisfying one y = 0.25 of the original equations
Question 213 marks
Question
C NOT TO 6 cm SCALE O B 5 cm A The diagram shows a shape made from a quarter-circle, OAB, and a right-angled triangle OBC. The radius of the circle is 5 cm and OC = 6 cm. Calculate the area of the shape. …… cm 2 [3]
Mark scheme
21 34.6 or 34.63 to 34.64 3 1 1 M2 for × π × 52 + × 5 × 6 oe 4 2 1 1 or M1 for × π × 52 oe or × 5 × 6 oe 4 2
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0580/12 questions
Where can I find the 0580/12 February/March 2021 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/12, February/March 2021 (0580_m21_ms_12), and the question paper (0580_m21_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 February/March 2021 is out of 56 marks, with 1 hour to answer it.
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Yes. Upload your answers to 0580/12/F/M/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.