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Mathematics 0580/12 February/March 2019: question paper and mark scheme

Cambridge IGCSE Mathematics (0580), Paper 1 (Core), February/March 2019. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.

0580_m19_qp_120580_m19_ms_120580/12/F/M/19

Paper
Paper 1 (Core)
Total marks
56
Time
1 hour
Code on the paper
0580/12/F/M/19
0580_m19_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

A mathematics lesson starts at 11 05. The lesson lasts for 75 minutes. Work out the time that the lesson ends. …… [1]

Mark scheme

1 12 20 1

Question 21 mark

Question

The probability that it will be sunny tomorrow is 0.97 . Work out the probability that it will not be sunny tomorrow. …… [1]

Mark scheme

2 [0].03 oe 1

Question 31 mark

Question

A B C D Complete the statement. Angle …… is a reflex angle. [1]

Mark scheme

3 C 1

Question 41 mark

Question

The temperature at 07 00 is -3 °C. This temperature is 11 °C higher than the temperature at 01 00. Find the temperature at 01 00. …… °C [1]

Mark scheme

4 −14 1

Question 51 mark

Question

Jodi swims 22 lengths of a swimming pool to raise money for charity. She receives $15 for each length she swims. Calculate how much money Jodi raises for charity. $ …… [1]

Mark scheme

5 330 1

Question 61 mark

Question

A student measures the angles in a triangle as 55°, 85° and 50°. Explain why the student is incorrect. …… [1]

Mark scheme

6 correct explanation 1 need to see 190 and 180

Question 71 mark

Question

The diagram shows a net of a solid. Write down the mathematical name of the solid. …… [1]

Mark scheme

7 triangular prism 1

Question 82 marks

Question

(a) Write 0.046 875 correct to 2 significant figures. …… [1] (b) Write 2 760 000 in standard form. …… [1]

Mark scheme

8(a) 0.047 1 8(b) 2.76 × 106 1

Question 92 marks

Question

Reflect this shape in the line AB. A B [2]

Mark scheme

9 correct reflection 2 B1 for 5 vertices correct

Question 102 marks

Question

Write down the six factors of 12. …… , …… , …… , …… , …… , …… [2]

Mark scheme

10 1, 2, 3, 4, 6, 12 2 B1 for 4 correct factors and no errors or 5 factors and 1 error

Question 112 marks

Question

-5 0 e=e o f =e o 4 6 Write as a single vector (a) 3e, f p [1] (b) f - e . f p [1]

Mark scheme

11(a)  −15  1    12  11(b) 5 1    2

Question 122 marks

Question

Simplify. 3 (a) ( y 5) …… [1] (b) w 7 ' w - 2 …… [1]

Mark scheme

12(a) y15 cao 1 12(b) w9 cao 1

Question 132 marks

Question

Without using a calculator, estimate, by rounding each number correct to 1 significant figure, 104.3 . 8.72 - 7.389 You must show all your working. …… [2]

Mark scheme

13 100 and 9 − 7 M1 5 A1

Question 142 marks

Question

A tourist changes $500 to euros (€) when the exchange rate is €1 = $1.0697 . Calculate how many euros he receives. € …… [2]

Mark scheme

14 467.42 or 467 2 M1 for 500 ÷ 1.0697

Question 152 marks

Question

(a) Change 645 mm into cm. …… cm [1] (b) Change 4.1 m3 into cm3. ……cm3 [1]

Mark scheme

15(a) 64.5 1 15(b) 4 100 000 oe 1

Question 162 marks

Question

The width, w metres, of a room is 4.2 metres, correct to the nearest 10 centimetres. Complete this statement about the value of w. …… G w 1 …… [2]

Mark scheme

16 4.15, 4.25 2 B1 for each one in correct position. If 0 scored SC1 for both correct but reversed.

Question 172 marks

Question

X Draw the enlargement of the triangle by scale factor 3, centre X. [2]

Mark scheme

17 correctly enlarged triangle 2 M1 for an enlargement scale factor 3 but incorrect position

Question 182 marks

Question

The probability that a sweet made in a factory is the wrong shape is 0.0028 . One day, the factory makes 25 000 sweets. Calculate the number of sweets that are expected to be the wrong shape. …… [2]

Mark scheme

18 70 2 M1 for 25 000 × 0.0028 oe

Question 192 marks

Question

Factorise completely. 8g 2 - 4g …… [2]

Mark scheme

19 4 g ( 2 g − 1) 2 M1 for 2 g ( 4 g − 2 ) , g ( 8 g − 4 ) ( ) ( or 4 2g 2 − g or 2 4 g 2 − 2 g or ) 2 2 g(2g – 1) as final answers

Question 202 marks

Question

Solve the simultaneous equations. You must show all your working. 6x - 3y = 12 2x + 3y = 16 x = …… y = …… [2]

Mark scheme

20 [ x =] 3.5, [ y =] 3 2 M1 for a correct equation in terms of x or with supporting working y. If 0 scored SC1 for both answers correct.

Question 213 marks

Question

7.5 cm NOT TO SCALE 5 cm 12 cm Calculate the total surface area of the cuboid. ……cm2 [3]

Mark scheme

21 375 3 M2 for 2 (12 × 5 + 12 × 7.5 + 5 × 7.5 ) oe or M1 for 12 × 5 or 12 × 7.5 or 5 × 7.5

Question 223 marks

Question

The number of passengers on a train increases from 63 to 77. Calculate the percentage increase. ……% [3]

Mark scheme

22 2 3 77 − 63 22 or 22.2 or 22.22... M2 for [×100] oe or 9 63 77 × 100 [– 100] oe 63 77 or M1 for oe 63

Question 234 marks

Question

The diagram shows a quadrilateral on a 1 cm2 grid. (a) Write down the mathematical name of this quadrilateral. …… [1] (b) Work out the area of this quadrilateral. Give the units of your answer. …… …… [3]

Mark scheme

23(a) kite 1 23(b) 24 2 B1 for any relevant correct area calculated or M1 for a fully correct method cm2 1

Question 244 marks

Question

Five numbers have a mean of 9.4 . Four of the numbers are 3, 5, 10 and 12. Work out the range of the five numbers. …… [4] 1 5

Mark scheme

24 14 4 M1 for 5 × 9.4 M1 for their ( 5 × 9.4 ) − ( 3 + 5 + 10 + 12 ) M1dep for their greatest number − 3

Question 254 marks

Question

Without using a calculator, work out 3 ' . 8 12 You must show all your working and give your answer as a mixed number in its simplest form. …… [4]

Mark scheme

25 25 B1 75 or 8 24 25 12 75 10 M1 75 24 their × or their ÷ oe × 8 5 24 24 24 10 300 M1 1800 75 60 30 15 their oe oe e.g. , , , , 40 240 10 8 4 2 1 A1 7 cao 2

Question 265 marks

Question

C y cm D 8.2 cm NOT TO 5.3 cm SCALE 4.4 cm x° A B Triangles ABC and BCD are both right-angled triangles. (a) Calculate the value of y. y = …… [3] (b) Calculate the value of x. x = …… [2]

Mark scheme

26(a) 2.95 or 2.954 to 2.955 3 M2 for 5.32 − 4.42 or better or M1 for 5.32 = 4.42 + y 2 or better 26(b) 40.3 or 40.26 to 40.27… 2 5.3 M1 for sin [ x = ] 8.2

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0580/12 questions

Where can I find the 0580/12 February/March 2019 mark scheme?

On this page, free: the mark scheme for IGCSE Mathematics 0580/12, February/March 2019 (0580_m19_ms_12), and the question paper (0580_m19_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 2019 is out of 56 marks, with 1 hour to answer it.

Can I get my 0580/12 answers marked?

Yes. Upload your answers to 0580/12/F/M/19 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.