Cambridge IGCSE Mathematics 0580 — 2017 Feb/March Paper 1 · Variant 2
0580/12/F/M/17 · 23 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 scheme4 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Write down the difference in temperature between -4 °C and -9 °C
1 Write down the difference in temperature between -4 °C and -9 °C. ..............................................°C [1]
Mark scheme: Question Answer Marks Part Marks 1 5 1
Q2 · Shade two more squares so that this shape has rotational symmetry of order 2
2 Shade two more squares so that this shape has rotational symmetry of order 2. [1]
Mark scheme: 2 2 squares added correctly 1
Q3 · Find the value of (a) 196 , ..................................................
3 Find the value of (a) 196 , ................................................... [1] 24 (b) 3 . .02 ................................................... [1]
Mark scheme: 3 (a) 14 1 (b) 3000 1
Q4 · A cuboid has dimensions 12 m by 15 m by 20 m
4 A cuboid has dimensions 12 m by 15 m by 20 m. Find the volume of the cuboid. ............................................. m3 [2]
Mark scheme: 4 3600 2 M1 for 12 × 15 × 20
Q5 · 34 38 10 87 45 28 19 23 Calculate the mean of these 8 numbers
5 34 38 10 87 45 28 19 23 Calculate the mean of these 8 numbers. ................................................... [2]
Mark scheme: 5 35.5 2 M1 for (34 + 38 + 10 + 87 + 45 + 28 + 19 + 23) ÷ 8
Q6 · Write 629 000 in standard form
6 (a) Write 629 000 in standard form. ................................................... [1] (b) Write .8 21 # 10 -3 as an ordinary number. ................................................... [1]
Mark scheme: 6 (a) 6.29×105 1 (b) [0].00821 1
Q7 · A circular plate has diameter 27 cm
7 A circular plate has diameter 27 cm. Calculate the circumference of the plate. ............................................ cm [2]
Mark scheme: 7 84.8 or 84.82 to 84.83[…] 2 M1 for 27 × π 10 × 20
Q8 · Without using your calculator and by rounding each number correct to 1 significant…
8 Without using your calculator and by rounding each number correct to 1 significant figure, estimate the value of 10.3 # 19.5 . 88.9 - 43.2 You must show all your working. ................................................... [2]
Mark scheme: 10 × 20 8 M1 90 − 40 4 nfww A1 2
Question 9
9 Factorise completely. 15c 2 - 5c ................................................... [2]
Mark scheme: 9 5c(3c – 1) final answer 2 B1 for 5(3c2 – c) or c(15c – 5)
Q10 · Find the highest common factor (HCF) of 36 and 63
10 Find the highest common factor (HCF) of 36 and 63. ................................................... [2]
Mark scheme: 10 9 2 M1 for 2 × 2 × 3 × 3 and 7 × 3 × 3 seen or final answer 3
Q11 · 7 2 3 5 1 2 6 9 7 2 6 4 2 3 6 For these numbers (a) find the range…
11 7 2 3 5 1 2 6 9 7 2 6 4 2 3 6 For these numbers (a) find the range, ................................................... [1] (b) write down the mode. ................................................... [1]
Mark scheme: 11 (a) 8 1 (b) 2 1
Q12 · 1 euro = $1.09 $1 = 62 rupees Change 400 euros into rupees using these exchange rates
12 1 euro = $1.09 $1 = 62 rupees Change 400 euros into rupees using these exchange rates. ....................................... rupees [2]
Mark scheme: 12 27032 cao 2 M1 for 400 × 1.09 [× 62] or 62 × 1.09[× 400] 6 2
Q13 · A NOT TO SCALE 6.2 m x° B C 13.8 m Calculate the value of x
13 A NOT TO SCALE 6.2 m x° B C 13.8 m Calculate the value of x. x = .................................................. [2]
Mark scheme: 6.2 13 24.2 or 24.19….. 2 M1 for tan [=] 13.8
Q14 · 30 25 20 Number of students 15 10 5 0 A B C D E F Class The bar chart shows the number of…
14 30 25 20 Number of students 15 10 5 0 A B C D E F Class The bar chart shows the number of students in each of the Classes A, B, C, D and F. (a) Write down how many more students there are in Class D than in Class B. ................................................... [1] (b) The total number of students in these six classes is 117. Draw the bar for Class E. [2]
Mark scheme: 14 (a) 9 1 (b) Bar height 23 drawn 2 M1 for [117 –] 22 + 15 + 19 + 24 + 14 or B1 for 94 or 23 seen
Q15 · Write down the next term in each of these sequences
15 Write down the next term in each of these sequences. (a) 19, 15, 11, 7, 3, .............. [1] (b) 0, 1, 4, 9, 16, .............. [1] (c) 3, 5, 9, 17, 33, .............. [1]
Mark scheme: 15 (a) –1 1 (b) 25 1 (c) 65 1
Q16 · The angle in a semi-circle is 90°
16 (a) The angle in a semi-circle is 90°. Use the circle drawn below, with its centre marked, to show this. [1] (b) The line AB is one side of an equilateral triangle ABC. Using a straight edge and compasses only, construct triangle ABC. A B [2]
Mark scheme: 16 (a) Angle in semi-circle drawn with 1 diameter through centre (b) Equilateral triangle with correct 2 M1 for clear evidence of constructed 60° angles arcs. or arcs crossing equal in length to AB or an accurate diagram with no/incorrect arcs 10 5
Q17 · 117 Without using your calculator, work out 3 ' 2
1 117 Without using your calculator, work out 3 ' 2 . 3 2 You must show all your working and give your answer as a mixed number in its simplest form. ................................................... [3]
Mark scheme: 10 5 17 or B1 oe improper fraction 3 2 10 2 20 15 their × their M1 accept ÷ 3 5 6 6 1 13 cao A1
Q18 · Expand the brackets and simplify
18 (a) Expand the brackets and simplify. 4 (5w + 3 ) - 2 (w - 1 ) ................................................... [2] (b) Simplify. (w5)2 ................................................... [1]
Mark scheme: 18 (a) 18w + 14 final answer 2 M1 for 20 w + 12 or −2 w + 2 or answer 18 w + k or kw + 14 (b) w10 1 3
Q19 · Kaasni invested $2400 at a rate of 7.5% per year compound interest
19 Kaasni invested $2400 at a rate of 7.5% per year compound interest. Calculate the total value of this investment at the end of 3 years. Give your answer correct to 2 decimal places. $ .................................................. [3]
Mark scheme: 19 2981.51 3 M2 for 2400 × 1.0753 oe or M1 for 2400 × 1.0752 oe If zero scored SC2 for 581.51 or SC1 for 581.512[5] or 581.513
Q20 · Playing Eating Working Sleeping Watching TV The pie chart shows how Miranda spent her…
20 Playing Eating Working Sleeping Watching TV The pie chart shows how Miranda spent her time yesterday. Work out how many hours she spent sleeping. ......................................... hours [3]
Mark scheme: 20 9 3 B1 for 135°. their 135 M1 for × 24 oe 360 4
Question 21
21 (a) Work out. 3 1 + c- 2 m c- 1m [1] f p (b) y 10 9 A 8 7 6 B 5 4 3 2 1 x 0 1 2 3 4 5 6 7 8 9 10 Points A and B are marked on the grid. - 4 BC = c 0m (i) On the grid, plot the point C. [1] (ii) Write AC as a column vector. [1] f p
Mark scheme: 4 21 (a) 1 −3 (b) (i) Point at (3, 5) 1 JJJG 1 (ii) 1FT FT their AC −3 1
Question 22
22 Solve. (a) 4x = 10 x = .................................................. [1] (b) 5(x + 8) = 75 x = .................................................. [2] (c) 37 ÷ 3x = 9 x = .................................................. [1]
Mark scheme: 1 22 (a) 2.5 or 2 1 2 (b) 7 2 M1 for 5 x + 40 = [ 75] or x + 8 = 75 ÷ 5 or better (c) 5 1
Q23 · Y l 5 4 3 2 1 x 0 –3 –2 –1 1 2 3 4 5 –1 –2 –3 (a) Find the equation of the line l
23 y l 5 4 3 2 1 x 0 –3 –2 –1 1 2 3 4 5 –1 –2 –3 (a) Find the equation of the line l. Give your answer in the form y = mx + c. y = .................................................. [3] (b) Draw another straight line on the diagram that passes through (-1, 1) and is parallel to the line l. [1]
Mark scheme: 23 (a) [y =] –2x + 3 3 B2 for [ y = ] − 2 x + c or M1 for rise/run and B1 for [ y = ] kx + 3, k ≠ 0 or c = 3 (b) Ruled line y = −2 x − 1 drawn 1
What was in this paper
The subtopics covered by these 23 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
2Averages and range2Statistical charts and diagrams2Area and perimeter1Equations1Equations of linear graphs1Estimation1Fractions, decimals and percentages1Geometrical constructions1Percentages1Powers and roots1Ratio and proportion1Right-angled triangles1Sequences1Standard form1Surface area and volume1Symmetry1The four operations1Types of number1Vectors in two dimensions1What you needed in this session
Cambridge’s own grade thresholds for 2017 Feb/March, Paper 1 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.