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
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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
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
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
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
A B C D Complete the statement. Angle …… is a reflex angle. [1]
Mark scheme
3 C 1
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
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
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
The diagram shows a net of a solid. Write down the mathematical name of the solid. …… [1]
Mark scheme
7 triangular prism 1
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
Reflect this shape in the line AB. A B [2]
Mark scheme
9 correct reflection 2 B1 for 5 vertices correct
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
-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
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
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
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
(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
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
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
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
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
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
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
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
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
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
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
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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Mathematics 0580/12 for February/March 2019 is out of 56 marks, with 1 hour to answer it.
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