Mathematics 0580/12 February/March 2023: question paper and mark scheme

Cambridge IGCSE Mathematics (0580), Paper 1 (Core), February/March 2023. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.

0580_m23_qp_120580_m23_ms_120580/12/F/M/23

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Paper: Paper 1 (Core)
Total marks: 56
Time: 1 hour
Code on the paper: 0580/12/F/M/23

0580_m23_ms_12.pdf

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 11 mark

Question

Write the number twenty-five million in figures. …… [1]

Mark scheme

1 25 000 000 1

Question 22 marks

Question

(a) Write 0.7 as a fraction. …… [1] 13 (b) Write as a percentage. 20 …… % [1]

Mark scheme

2(a) 7 1 or equivalent fraction 10 2(b) 65 1

Question 32 marks

Question

-7 12 -3 2 8 -6 15 -4 -8 From the list of numbers, find (a) all the numbers which are less than -5 …… [1] (b) the product of the largest number and the smallest number. …… [1] 1

Mark scheme

3(a) −6, −7, −8 1 3(b) −120 1

Question 41 mark

Question

An exam starts at 11 50 and lasts for 2 hours. 4 Work out the time that the exam finishes. …… [1]

Mark scheme

4 14 05 1

Question 51 mark

Question

Write 56.17345 correct to 1 decimal place. …… [1]

Mark scheme

5 56.2 1

Question 62 marks

Question

Work out the number of seconds in 5 hours. ……s [2]

Mark scheme

6 18 000 2 M1 for 5 × 60 × 60

Question 72 marks

Question

12 15 27 29 91 93 From the list of numbers, write down (a) a cube number …… [1] (b) a prime number. …… [1] -1 2

Mark scheme

7(a) 27 1 7(b) 29 1

Question 82 marks

Question

v=e o y=e o 3 5 Find (a) v - y f p [1] (b) 2 v . f p [1]

Mark scheme

8(a) −3 1 −2 8(b) −2 1 6

Question 91 mark

Question

A suit costs 6500 rupees. Calculate the cost of the suit in dollars when the exchange rate is 1 rupee = $0.013 . $ …… [1]

Mark scheme

9 84.5[0] 1

Question 103 marks

Question

The diagram shows one face of a cuboid on a 1 cm 2 grid. The cuboid has a volume of 24 cm 3 . Complete a net of this cuboid. [3]

Mark scheme

10 Fully correct net 3 B2 for 3 or 4 correct rectangles drawn in correct position or B1 for one correct face drawn in correct position or M1 for 24 ÷ (4 × 3) If 0 scored, SC1 for a net that makes a cuboid but the volume is not 24

Question 111 mark

Question

The median of six numbers is 61. Five of the numbers are 24, 43, 58, 71 and 85. Work out the sixth number. …… [1]

Mark scheme

11 64 1

Question 122 marks

Question

Work out the size of one interior angle of a regular 9-sided polygon. …… [2]

Mark scheme

12 140 2 M1 for 180 − (360 ÷ 9) oe or (9 − 2) × 180 oe 9

Question 131 mark

Question

A B On the Venn diagram, shade the region A + B . [1]

Mark scheme

13 Correct shading 1

Question 142 marks

Question

Factorise completely. 8g - 2g 2 …… [2]

Mark scheme

14 2g(4 – g) final answer 2 B1 for 2(4g – g2) or for g(8 – 2g) or for 2g(4 – g) seen then spoiled

Question 154 marks

Question

B C 65° NOT TO SCALE O D 46° x° y° A E The diagram shows a circle, centre O, with diameter AC. A, B, C, D and E lie on the circumference of the circle. (a) Find the value of x. Give a reason for your answer. x = …… because …… [2] (b) Find the value of y. Give a reason for your answer. y = …… because …… [2] 4

Mark scheme

15(a) 25 1 Angle in a semicircle = 90° 1 15(b) 46 1 Base angles of an isosceles triangle are equal 1

Question 162 marks

Question

Without using a calculator, work out ' 8. 7 You must show all your working and give your answer as a fraction in its simplest form. …… [2]

Mark scheme

16 4 1 4 56 M1 × oe or ÷ oe 7 8 7 7 1 A1 cao 14

Question 173 marks

Question

A school records how many calculators it sells each week for 40 weeks. The results are shown in the table. Number of Frequency calculators 0 14 1 12 2 6 3 5 4 0 5 2 6 1 Work out the mean number of calculators the school sells each week. …… [3]

Mark scheme

17 1.375 3 M1 for [0 ×14] +(1 × 12) + (2 × 6) + (3 × 5) +[4 × 0] + (5 × 2) + (6 × 1) oe M1 dep for Σ fx 40

Question 182 marks

Question

The mass, m kg, of a bag of sand is 12 kg, correct to the nearest kilogram. Complete the statement about the value of m. …… G m 1 …… [2]

Mark scheme

18 11.5, 12.5 2 B1 for each If 0 scored, SC1 for both correct but reversed

Question 192 marks

Question

Qianna invests $3000 at a rate of 4% per year compound interest. Calculate the value of her investment at the end of 6 years. $ …… [2]

Mark scheme

19 3800 or 3795 or 3796 or 3795.9… 2 4 6 M1 for 3000 × 1 + oe 100

Question 202 marks

Question

Solve. 25 - 2u =2 3 u = …… [2]

Mark scheme

20 9.5 2 M1 for 25 – 2u = 3 × 2 oe 25 2u or for −2= 3 3

Question 212 marks

Question

Calculate 0.3 2 . Give your answer in standard form. …… [2]

Mark scheme

21 9 ×10−2 2 B1 for 0.09 oe or M1 for their decimal correctly converted to standard form if negative power

Question 221 mark

Question

The probability of passing a driving test is 0.36 . 600 people take this driving test. Work out the expected number of these people that will pass. …… [1]

Mark scheme

22 216 1

Question 233 marks

Question

Solve the simultaneous equations. You must show all your working. 3x - 2y = 19 x+y = 3 x = …… y = …… [3]

Mark scheme

23 Correctly eliminating one variable M1 [x =] 5 A1 [y = ] –2 A1 If M0 scored, SC1 for 2 values satisfying one of the original equations

Question 242 marks

Question

NOT TO 46 cm SCALE y 74 cm The diagram shows a right-angled triangle. Show that angle y is 31.9°, correct to 1 decimal place. [2]

Mark scheme

24 46 M1 tan [y =] 74 31.86 to 31.87 A1

Question 254 marks

Question

A x cm NOT TO D SCALE 39 cm 25 cm B 52 cm C The diagram shows two right-angled triangles, ABC and ACD. Work out the value of x. x = …… [4]

Mark scheme

25 60 cao 4 M3 for 392 + 522 − 252 = x 2 oe or M2 for 392 + 522 = 252 + x2 oe or M1 for 392 + 522 or 252 + x 2 [= their AC2]

Question 266 marks

Question

A circle has an area of 25r cm 2 . (a) Work out the circumference of the circle. Give your answer in terms of r . …… cm [3] (b) Two of the circles are used as the ends of a cylinder, with height h cm. The total surface area of the cylinder is 170r cm 2 . Work out the value of h. h = …… [3]

Mark scheme

26(a) 10π 3 M1 for 25 π = πr 2 or B1 for r = 5 M1dep for 2π × their r 26(b) 12 3 M2 for 25π × 2 + their10π × h = 170π or better or M1 for 2 × πr 2 + 2πrh = 170π or M1 for 170π − 2 × 25π or better

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Where can I find the 0580/12 February/March 2023 mark scheme?

On this page, free: the mark scheme for IGCSE Mathematics 0580/12, February/March 2023 (0580_m23_ms_12), and the question paper (0580_m23_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 2023 is out of 56 marks, with 1 hour to answer it.

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Yes. Upload your answers to 0580/12/F/M/23 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.