Mathematics 0580/22 February/March 2019: question paper and mark scheme

Cambridge IGCSE Mathematics (0580), Paper 2 (Extended), 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_220580_m19_ms_220580/22/F/M/19

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Paper: Paper 2 (Extended)
Total marks: 70
Time: 1 hour 30 minutes
Code on the paper: 0580/22/F/M/19

0580_m19_ms_22.pdf

0580/22 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

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

1 −14 1

Question 21 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

2 330 1

Question 31 mark

Question

o o as a fraction. Write the recurring decimal 0.23 …… [1]

Mark scheme

3 23 1 99

Question 42 marks

Question

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

Mark scheme

4(a) 0.047 1 4(b) 2.76 × 106 1

Question 52 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

5 467.42 or 467 2 M1 for 500 ÷ 1.0697

Question 62 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

6 70 2 M1 for 25 000 × 0.0028 oe

Question 72 marks

Question

The bearing of Alexandria from Paris is 128°. Calculate the bearing of Paris from Alexandria. …… [2]

Mark scheme

7 308 2 M1 for 180 + 128 oe or 52 seen

Question 82 marks

Question

O is the origin, OA = 2x + 3y and BA = x - 4y . Find the position vector of B, in terms of x and y, in its simplest form. …… [2]

Mark scheme

8 x + 7y 2 M1 for a correct route

Question 92 marks

Question

y is directly proportional to (x - 4) . When x = 16 , y = 3. Find y in terms of x. y = …… [2]

Mark scheme

9 1 2 M1 for y = k ( x − 4 ) [y = ] ( x − 4) oe final answer 4

Question 103 marks

Question

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

Mark scheme

10 375 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 113 marks

Question

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

Mark scheme

11 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 123 marks

Question

A cone with height 14.8 cm has volume 275 cm3. Calculate the radius of the cone. 1 [The volume, V, of a cone with radius r and height h is V = rr 2 h .] 3 …… cm [3]

Mark scheme

12 4.21 or 4.212.... 3 275 × 3 M2 for oe 14.8 × π 1 or M1 for 275 = × π × r 2 × 14.8 oe 3

Question 133 marks

Question

Factorise. (a) 7k 2 - 15k …… [1] (b) 12 (m + p) + 8 (m + p) 2 …… [2]

Mark scheme

13(a) k ( 7 k − 15 ) final answer 1 13(b) 4 ( m + p )( 3 + 2m + 2 p ) 2 B1 for (m + p)(12 + 8(m + p)) final answer or (m + p)(12 + 8m + 8p) or (4m + 4p)(3 + 2m + 2p) or (2m + 2p)(6 + 4m + 4p) or 2(2m + 2p)(3 + 2m + 2p) or 2(m + p)(6 + 4m + 4p)

Question 143 marks

Question

Eric invests an amount in a bank that pays compound interest at a rate of 2.16% per year. At the end of 5 years, the value of his investment is $6 999.31 . Calculate the amount Eric invests. $ …… [3]

Mark scheme

14 6290[.0…] 3 6999.31 M2 for 5  2.16  1 +   100  5  2.16  or M1 for [ A]  1 +   100 

Question 153 marks

Question

O NOT TO B SCALE 104° 21° P A w° C A, B and C are points on the circle, centre O. AB and OC intersect at P. Find the value of w. w = …… [3]

Mark scheme

15 73 3 B1 for angle PBC = 52 B1 for APO or BPC = 55 or APC or OPB = 125

Question 163 marks

Question

4 3.5 3 2.5 2 1.5 P 1 0.5 0 0.5 1 1.5 2 2.5 3 3.5 4 By drawing a suitable tangent, estimate the gradient of the curve at the point P. …… [3] 1 .

Mark scheme

16 tangent ruled at x = 2 B1 −0.7 to –0.3 B2 dep on B1 or a close attempt at tangent at x = 2 or M1 for rise/run for their tangent at x = 2 must see correct or implied calculation from a drawn tangent

Question 173 marks

Question

(a) Find the value of n when 5 n = 125 n = …… [1] 1 - 64 3 (b) Simplify e 3 o . m …… [2]

Mark scheme

17(a) −3 1 17(b) m 2 1 or 0.25m final answer B1 for or 0.25 or 4–1 or m correct in final 4 4 answer

Question 183 marks

Question

A pipe is full of water. The cross-section of the pipe is a circle, radius 2.6 cm. Water flows through the pipe into a tank at a speed of 12 centimetres per second. Calculate the number of litres that flow into the tank in one hour. …… litres [3]

Mark scheme

18 917 or 918 or 917.4 to 917.6 3 M2 for π × 2.62 × 12 × 60 × 60 ÷ 1000 or M1 for π × 2.62 isw or 12 × 60 × 60 ÷ 1000 isw If 0 scored SC1 for figs 917 to 918

Question 193 marks

Question

Simplify. ab - b 2 a2 - b2 …… [3] 2 -1 1 6

Mark scheme

19 b 3 B1 for b ( a − b ) final answer a+b B1 for ( a + b )( a − b )

Question 204 marks

Question

(a) Work out e oe o. 4 3 -5 4 f p [2] 3 -1 (b) Find the value of x when the determinant of e o is 5. -7 x x = …… [2] 1 5

Mark scheme

20(a)  7 8 2 B1 for 2 correct elements    −11 36  20(b) 4 2 M1 for 3x − ( −1) × ( −7 ) = 5 or better

Question 214 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

21 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 224 marks

Question

25 NOT TO Speed SCALE (m/s) 0 0 15 50 Time (s) The speed–time graph shows the first 50 seconds of a journey. Calculate (a) the acceleration during the first 15 seconds, …… m/s2 [1] (b) the distance travelled in the 50 seconds. …… m [3]

Mark scheme

22(a) 2 1 1 or 1.67 or 1.666 to 1.667 3 22(b) 1062.5 3 25 M2 for ( 50 + 35 ) oe 2 or M1 for one area

Question 236 marks

Question

A is the point (2, 3) and B is the point (7, -5). (a) Find the co-ordinates of the midpoint of AB. (……, ……) [2] (b) Find the equation of the line through A that is perpendicular to AB. Give your answer in the form y = mx + c . y = …… [4]

Mark scheme

23(a) (4.5, − 1) 2 B1 for each 23(b) 5 7 4 −5 − 3 [ y =] x + M1 for oe 8 4 7−2 8 M1 for –1/ their − 5 M1 for 3 = 2 × their gradient + c oe

Question 247 marks

Question

R S 97° Q 7.4 cm NOT TO SCALE 8.5 cm 26° 53° P Calculate (a) SR, SR = …… cm [3] (b) RQ. RQ = …… cm [4]

Mark scheme

24(a) 5.95 or 5.954... 3 7.4 M2 for × sin 53 sin 97 sin 97 sin 53 or M1 for = oe 7.4 SR 24(b) 3.73 or 3.733 to 3.734 4 M2 for 8.52 + 7.42 − 2 × 8.5 × 7.4 × cos 26 or M1 for implicit form A1 for 13.9[4...]

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Where can I find the 0580/22 February/March 2019 mark scheme?

On this page, free: the mark scheme for IGCSE Mathematics 0580/22, February/March 2019 (0580_m19_ms_22), and the question paper (0580_m19_qp_22), to read or download, with each question's marking points written out underneath.

How many marks is 0580/22 out of?

Mathematics 0580/22 for February/March 2019 is out of 70 marks, with 1 hour 30 minutes to answer it.

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Yes. Upload your answers to 0580/22/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.