Cambridge IGCSE Mathematics 0580 — 2019 Feb/March Paper 1 · Variant 2
0580/12/F/M/19 · 26 questions · 56 marks · ≈63 min
The question paper and its mark scheme, free to read here and free to download. This is Cambridge’s own paper, exactly as it was sat.
Question paper12 pages
Mark scheme5 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · A mathematics lesson starts at 11 05
1 A mathematics lesson starts at 11 05. The lesson lasts for 75 minutes. Work out the time that the lesson ends. .................................................... [1]
Mark scheme: Question Answer Marks Partial Marks 1 12 20 1
Q2 · The probability that it will be sunny tomorrow is 0.97
2 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
Q3 · A B C D Complete the statement
3 A B C D Complete the statement. Angle ...................... is a reflex angle. [1]
Mark scheme: 3 C 1
Q4 · The temperature at 07 00 is -3 °C
4 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
Q5 · Jodi swims 22 lengths of a swimming pool to raise money for charity
5 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
Q6 · A student measures the angles in a triangle as 55°, 85° and 50°
6 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
Q7 · The diagram shows a net of a solid
7 The diagram shows a net of a solid. Write down the mathematical name of the solid. ......................................................................... [1]
Mark scheme: 7 triangular prism 1
Q8 · Write 0.046 875 correct to 2 significant figures
8 (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
Q9 · Reflect this shape in the line AB
9 Reflect this shape in the line AB. A B [2]
Mark scheme: 9 correct reflection 2 B1 for 5 vertices correct
Q10 · Write down the six factors of 12
10 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
Q11 · - 5 0 e = f = e 4o e6o Write as a single vector (a) 3e, [1] f p (b) f - e
11 - 5 0 e = f = e 4o e6o Write as a single vector (a) 3e, [1] f p (b) f - e . [1] f p
Mark scheme: 11(a) − 15 1 1 2 11(b) 5 1 2
Question 12
12 Simplify. (a) ( y 5 ) 3 .................................................... [1] (b) w 7 ' w - 2 .................................................... [1]
Mark scheme: 12(a) y15 cao 1 12(b) w9 cao 1
Q13 · Without using a calculator, estimate, by rounding each number correct to 1 significant…
13 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
Q14 · A tourist changes $500 to euros (€) when the exchange rate is €1 = $1.0697
14 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
Q15 · Change 645 mm into cm
15 (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
Q16 · The width, w metres, of a room is 4.2 metres, correct to the nearest 10 centimetres
16 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.
Q17 · X Draw the enlargement of the triangle by scale factor 3, centre X
17 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
Q18 · The probability that a sweet made in a factory is the wrong shape is 0.0028
18 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 19
19 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 ( ) ( ) 22g(2g – 1) as final answers
Q20 · Solve the simultaneous equations
20 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 y. with supporting working If 0 scored SC1 for both answers correct.
Q21 · 7.5 cm NOT TO SCALE 5 cm 12 cm Calculate the total surface area of the cuboid
21 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
Q22 · The number of passengers on a train increases from 63 to 77
22 The number of passengers on a train increases from 63 to 77. Calculate the percentage increase. .................................................% [3]
Mark scheme: 22 2 3 77 − 22 or 22.2 or 22.22... M2 for 63[× 100] oe or 9 63 77 × 100 [– 100] oe 63 77 or M1 for oe 63
Q23 · The diagram shows a quadrilateral on a 1 cm2 grid
23 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
Q24 · Five numbers have a mean of 9.4
24 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]
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
Q25 · 525 Without using a calculator, work out 3 '
1 525 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 75 60 30 their oe oe e.g.1800 , , , ,15 40 240 10 8 4 2 1 A1 7 cao 2
Q26 · 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…
26 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 2 2 M2 for 5.3 − 4.4 or better or M1 for 5.32 = 4.4 2 + y 2 or better 26(b) 40.3 or 40.26 to 40.27… 2 M1 for sin [ x = ]5.3 8.2
What was in this paper
The subtopics covered by these 26 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
2Limits of accuracy2Surface area and volume2Transformations2Algebraic manipulation1Area and perimeter1Averages and range1Equations1Estimation1Fractions, decimals and percentages1Indices I1Introduction to probability1Money1Percentages1Pythagoras’ theorem1Ratio and proportion1Relative and expected frequencies1The four operations1Time1Types of number1Units of measure1Vectors in two dimensions1What you needed in this session
Cambridge’s own grade thresholds for 2019 Feb/March, Paper 1 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.