Cambridge IGCSE Mathematics 0580 — 2024 Feb/March Paper 1 · Variant 2
0580/12/F/M/24 · 25 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 scheme6 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Write the number thirty thousand and fifty in figures
1 Write the number thirty thousand and fifty in figures. ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1 30 050 1
Q2 · Write 5926 correct to the nearest 10
2 Write 5926 correct to the nearest 10. ................................................. [1]
Mark scheme: 2 5930 1
Q3 · T S Mark the midpoint of the line ST
3 T S Mark the midpoint of the line ST. [1]
Mark scheme: 3 Midpoint of ST marked 1
Q4 · Shade of this shape
24 (a) Shade of this shape. 9 [1] 2 (b) Write as a percentage. 9 ..............................................% [1]
Mark scheme: 4(a) 8 squares shaded 1 4(b) 22.2 or 22.22… 1
Q5 · A night bus runs from 21 50 to 05 18 the next day
5 A night bus runs from 21 50 to 05 18 the next day. Work out the number of hours and minutes that the night bus runs. ................... h .................... min [1]
Mark scheme: 5 7h 28min 1
Q6 · 34 55 76 83 111 121 From this list of numbers, write down all the multiples of 11
6 (a) 34 55 76 83 111 121 From this list of numbers, write down all the multiples of 11. ................................................... [1] (b) Zaid has a non-calculator method for working out if a number is a multiple of 11. He shows his method for the number 919 281. Subtract and add alternately the digits in the number. 9 - 1 + 9 - 2 + 8 - 1 = 22 # 11 Check if the answer is a multiple of 11. 22 = 2 As 22 is a multiple of 11 then 919 281 is a multiple of 11. Show that the number 918 271 937 is a multiple of 11 by using Zaid’s method. [2]
Mark scheme: 6(a) 55 121 1 6(b) 9 −+1 8 −+2 7 −+1 9 M1 −+3 7 33 = 3 11 A1
Q7 · The range of eight numbers is 31
7 The range of eight numbers is 31. These are seven of the numbers. 28 36 42 24 38 16 21 Find the two possible values of the eighth number. ...................... or ...................... [2]
Mark scheme: 7 11, 47 2 B1 for each
Q8 · Calculate 5.76 + 2.83
8 Calculate 5.76 + 2.83 . ................................................. [1]
Mark scheme: 8 24.352 1
Q9 · Simplify 4m + 7k - m + 3k
9 Simplify 4m + 7k - m + 3k . ................................................. [2]
Mark scheme: 9 3m + 10k final answer 2 B1 for 3m or 10k in final answer or for 3m + 10k seen and spoilt
Q10 · - 9 - 7 - 3 - 1 0 2 5 6 8 From this list of numbers, find (a) the highest number possible…
10 - 9 - 7 - 3 - 1 0 2 5 6 8 From this list of numbers, find (a) the highest number possible from the product of two of the numbers ................................................. [1] (b) the lowest number possible from the product of three of the numbers. ................................................. [1]
Mark scheme: 10(a) 63 1 10(b) −432 1
Q11 · Sarah records the number of people who play golf on each of 14 days
11 Sarah records the number of people who play golf on each of 14 days. 28 46 54 71 70 65 49 50 64 77 68 72 45 58 (a) Complete the stem-and-leaf diagram. 2 3 4 5 6 7 Key : 2 8 represents 28 [2] (b) Find the median. ................................................. [1]
Mark scheme: 11(a) 2 B1 for three rows fully correct 2 8 or for a correct unordered stem-and-leaf diagram 3 4 5 6 9 5 0 4 8 6 4 5 8 7 0 1 2 7 11(b) 61 1
Q12 · 10 cm NOT TO SCALE 4 cm 5 cm The diagram shows the net of a cuboid
12 10 cm NOT TO SCALE 4 cm 5 cm The diagram shows the net of a cuboid. (a) Work out the surface area of this cuboid. .......................................... cm2 [2] (b) Work out the volume of this cuboid. .......................................... cm3 [2]
Mark scheme: 12(a) 220 2 M1 for [2]( 5 4 + 4 10 + 5 10 ) 12(b) 200 2 M1 for 5 4 10
Q13 · There are 20 cars in a car park and 3 of the cars are blue
13 There are 20 cars in a car park and 3 of the cars are blue. (a) James wants to draw a pie chart to show this information. Find the angle of the sector for the blue cars in this pie chart. ................................................. [2] (b) One of the 20 cars is picked at random. Find the probability that this car is not blue.
Mark scheme: 13(a) 54 2 3 M1 for [ 360 ] oe or 360[ 3 ] oe 20 20 13(b) 17 1 oe 20
Question 14
14 Factorise. 3x 3 - 7xy ................................................. [1]
Mark scheme: 14 2 1 x 3 x − 7 y ( )
Q15 · Y 5 B 4 3 2 A 1 x – 4 –3 –2 –1 0 1 2 3 4 5 6 7 8 Write AB as a column vector
15 y 5 B 4 3 2 A 1 x – 4 –3 –2 –1 0 1 2 3 4 5 6 7 8 Write AB as a column vector. AB = [1] f p
Mark scheme: 15 −10 1 3
Q16 · Exchange rates 1 euro = 1.05 dollars 1 rupee = 0.013 dollars Vani changes x euros into…
16 Exchange rates 1 euro = 1.05 dollars 1 rupee = 0.013 dollars Vani changes x euros into dollars. She then changes the dollars into 17 850 rupees. Calculate the value of x. x = ................................................ [3]
Mark scheme: 16 221 3 17850 0.013 M2 for 1.05 or M1 for 17850 0.013 1.05 x or for = 17850 0.013
Q17 · The line y = 2x - 5 intersects the line y = 3 at the point P
17 The line y = 2x - 5 intersects the line y = 3 at the point P. Find the coordinates of the point P. ( ......................., .......................) [2]
Mark scheme: 17 ( 4,3 ) 2 B1 for each or M1 for 3 = 2 x − 5 or better
Q18 · The diagram shows two shapes, A and B, on a grid
18 The diagram shows two shapes, A and B, on a grid. y 4 3 2 A 1 – 8 – 7 – 6 – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 6 x – 1 – 2 – 3 – 4 – 5 B – 6 – 7 – 8 (a) Describe fully the single transformation that maps shape A onto shape B. ..................................................................................................................................................... ..................................................................................................................................................... [3] (b) On the grid, draw the image of shape A after a reflection in the line x =-1. [2]
Mark scheme: 18(a) Rotation 3 B1 for each [centre] (0,0) 90° [anticlockwise] 18(b) Shape drawn correctly 2 M1 for reflection in x = k or in y = −1
Q19 · NOT TO SCALE 7 cm R cm The diagram shows a small circle with radius 7 cm and a large…
19 NOT TO SCALE 7 cm R cm The diagram shows a small circle with radius 7 cm and a large circle with radius R cm. The area of 16 small circles is the same as the area of one large circle. Calculate the value of R. R = ................................................ [3]
Mark scheme: 19 28 3 M2 for 16 7 2 = R 2 or better or M1 for 7 2
Q20 · The nth term of a sequence is n 2 - 3
20 (a) The nth term of a sequence is n 2 - 3 . Find the first three terms of this sequence. ............... , ............... , ............... [2] (b) These are the first five terms of a different sequence. 2 9 16 23 30 Find the nth term of this sequence. ................................................. [2]
Mark scheme: 20(a) −2 1 6 2 B1 for any 2 in correct position If 0 scored SC1 for −−3, 2,1 20(b) 7n − 5 oe final answer 2 B1 for 7n + j or kn − 5, k 0 or 7n − 5 seen then spoilt
Q21 · The length, l m, of a rope is 18.7 m, correct to the nearest 10 centimetres
21 The length, l m, of a rope is 18.7 m, correct to the nearest 10 centimetres. Complete this statement about the value of l. ................... G l 1 ................... [2]
Mark scheme: 21 18.65 18.75 2 B1 for each If 0 scored SC1 for both correct but reversed or written in centimetres.
Q22 · 6.5 # 10 19 # n = 5.46 # 10 23 Calculate the value of n
22 6.5 # 10 19 # n = 5.46 # 10 23 Calculate the value of n. Give your answer in standard form. n = ................................................. [2]
Mark scheme: 22 8.4 103 2 B1 for 8400 oe seen or M1 for their answer correctly converted to standard form
Q23 · E B NOT TO SCALE h cm 97.5 cm A C 118.9 cm D 159.9 cm F Triangle ABC is mathematically…
23 E B NOT TO SCALE h cm 97.5 cm A C 118.9 cm D 159.9 cm F Triangle ABC is mathematically similar to triangle DEF. Calculate the value of h. h = ................................................ [2]
Mark scheme: 23 72.5 2 118.9 159.9 M1 for = oe or better h 97.5
Q24 · 524 Without using a calculator, work out 1 -
1 524 Without using a calculator, work out 1 - . 4 6 You must show all your working and give your answer as a fraction in its simplest form. ................................................. [3]
Mark scheme: 24 5 1 1 B1 Correct method for dealing with mixed or + number 4 4 6 5k Allow 4 k 15 10 M1 Correct method to find common and denominator 12 12 3 10 e.g. [1] and 12 12 5 A1 cao 12
Q25 · The highest common factor (HCF) of two numbers is 6
25 The highest common factor (HCF) of two numbers is 6. The lowest common multiple (LCM) of the two numbers is 90. Both numbers are greater than 6. Work out the two numbers. ..................... and ..................... [2]
Mark scheme: 25 18 30 2 B1 for 2 numbers with HCF 6 or LCM 90 or for 2 numbers greater than 6 with product 540 OR M1 for some multiples of 6 including 18 and 30 or for some factors of 90 including 18 and 30 or for a tree diagram/table showing prime factors of 540 or 6 and 90
What was in this paper
The subtopics covered by these 25 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
3Algebraic manipulation2Fractions, decimals and percentages2Limits of accuracy2Statistical charts and diagrams2Area and perimeter1Averages and range1Circles, arcs and sectors1Coordinates1Equations of linear graphs1Money1Powers and roots1Sequences1Similarity1Standard form1The four operations1Time1Transformations1Vectors in two dimensions1What you needed in this session
Cambridge’s own grade thresholds for 2024 Feb/March, Paper 1 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.