Cambridge IGCSE Mathematics 0580 — 2024 Oct/Nov Paper 1 · Variant 2
0580/12/O/N/24 · 22 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 half a million in figures
1 Write the number half a million in figures. ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1 500 000 1
Q2 · Anton records the colour of each car in a car park
2 Anton records the colour of each car in a car park. His results are shown in the table. Colour Black Grey White Blue Frequency 12 9 11 4 On the grid, draw a bar chart to show this information. Complete the scale on the frequency axis. Frequency Black Grey White Blue Colour [3]
Mark scheme: 2 Correct bar chart 3 B1 for a correct, linear vertical scale, with at least 2 numbers alongside the lines B1 for all bars correct heights, 12, 9, 11 and 4 B1 for equal width bars and consistent gaps or no gaps between the bars
Question 3
3 Solve. (a) 5x = 14 x = ................................................. [1] (b) x + 6 = 25 x = ................................................. [1]
Mark scheme: 3(a) 2.8 1 3(b) 19 1
Q4 · The diagram shows a regular polygon
4 The diagram shows a regular polygon. (a) Write down the mathematical name for this polygon. ................................................. [1] (b) On the diagram, draw all the lines of symmetry. [2] (c) Write down the order of rotational symmetry. ................................................. [1]
Mark scheme: 4(a) Pentagon 1 4(b) all 5 lines of symmetry drawn 2 B1 for 3 lines of symmetry and no extras or all 5 lines and 1 extra line 4(c) 5 1
Q5 · Write 53 683.588 correct to (a) the nearest hundred…
5 Write 53 683.588 correct to (a) the nearest hundred ................................................. [1] (b) 1 decimal place. ................................................. [1]
Mark scheme: 5(a) 53 700 cao 1 5(b) 53 683.6 cao 1
Q6 · Triangle ABC has sides AC = 4 .2 cm and BC = 5.6 cm
6 Triangle ABC has sides AC = 4 .2 cm and BC = 5.6 cm . Using a ruler and compasses only, construct triangle ABC. Leave in your construction arcs. The side AB has been drawn for you. A B [2]
Mark scheme: 6 Correct triangle with construction arcs 2 B1 for correct triangle with incorrect or no arcs or for two correct arcs If 0 scored SC1 for triangle with arcs but lines interchanged
Q7 · Put one pair of brackets in each calculation to make it correct
7 Put one pair of brackets in each calculation to make it correct. (a) 15 + 12 - 3 # 4 = 51 [1] (b) 15 + 12 - 3 # 4 = 96 [1]
Mark scheme: 7(a) 15 + (12 − 3) × 4 = 51 1 7(b) (15 + 12 − 3) × 4 = 96 1
Question 8
8 Simplify. 8c - d - 3c + 3d ................................................. [2]
Mark scheme: 8 5c + 2d final answer 2 B1 for 5c or 2d in the final answer or for 5c + 2d seen then spoilt
Q9 · The diagram shows an isosceles triangle
9 The diagram shows an isosceles triangle. x° NOT TO SCALE 43° Find the value of x. x = ................................................. [2]
Mark scheme: 9 94 2 M1 for x + 2 × 43 = 180 oe
Q10 · 1 0.25 3.142 3 - 3 24 - .04 1.2 - 4 Complete each statement with a number from the list
10 1 0.25 3.142 3 - 3 24 - .04 1.2 - 4 Complete each statement with a number from the list. .................................................. is a natural number. .................................................. is an irrational number. .................................................. is the reciprocal of 4. [3]
Mark scheme: 10 24 3 B1 for each 3 0.25
Q11 · The temperature in town A is - 8 °C and the temperature in town B is 16 °C
11 The temperature in town A is - 8 °C and the temperature in town B is 16 °C. (a) Find the difference in these two temperatures. ............................................. °C [1] (b) The temperature in town A rises by 12 °C. Find the temperature in town A now. ............................................. °C [1]
Mark scheme: 11(a) 24 1 11(b) 4 1
Q12 · The scale drawing shows the positions of two ships, A and B
12 The scale drawing shows the positions of two ships, A and B. The scale is 1 cm represents 6 km. North A Scale : 1 cm to 6 km B (a) Measure the bearing of ship B from ship A. ................................................. [1] (b) Find the actual distance between the two ships. ............................................ km [2]
Mark scheme: 12(a) 143 1 12(b) 39 2 B1 for 6.5 or M1 for their 6.5 × 6
Q13 · The scatter diagram shows the number of rooms and the number of people in each of eight…
13 The scatter diagram shows the number of rooms and the number of people in each of eight buildings. 70 60 50 40 Number of rooms 30 20 10 0 0 10 20 30 40 50 60 70 80 Number of people (a) One of the buildings has 67 rooms. Write down the number of people in this building. ................................................. [1] (b) In another building there are 42 people and 33 rooms. On the scatter diagram, plot this point. [1] (c) (i) On the scatter diagram, draw a line of best fit. [1] (ii) There are 45 people in a different building. Find an estimate for the number of rooms in this building. ................................................. [1] (d) What type of correlation is shown in the scatter diagram? ................................................. [1]
Mark scheme: 13(a) 76 1 13(b) Point correctly plotted at 1 (42, 33) 13(c)(i) Correct ruled line of best fit 1 13(c)(ii) 27 to 33 1 FT their line of best fit provided line shows positive correlation and answer is an integer. 13(d) positive 1
Q14 · The diagram shows a trapezium
14 The diagram shows a trapezium. NOT TO 9.5 cm SCALE x cm 6 cm The area of the trapezium is 42 cm 2. Calculate the value of x. x = ................................................. [2]
Mark scheme: 14 4.5 oe 2 1 M1 for 6 ( x + 9.5 ) = 42 oe or better 2 2 or for 42 −9.5 oe 6
Q15 · In a league, teams gain 4 points for each win, 2 points for each draw and bonus points
15 In a league, teams gain 4 points for each win, 2 points for each draw and bonus points. A team has x wins, y draws and b bonus points. Write down an expression, in terms of x, y and b, for the total number of points the team has. ................................................. [2]
Mark scheme: 15 4x + 2y + b final answer 2 B1 for two correct terms in 4x + 2y + b as final answer or correct answer seen and spoilt
Q16 · Dana invests $3600 at a rate of 3.8% per year compound interest
16 Dana invests $3600 at a rate of 3.8% per year compound interest. Calculate the value of her investment at the end of 5 years. $ ................................................. [2]
Mark scheme: 16 4340 or 4338 or 4337.99…. 2 3.8 5 M1 for 3600 (1 + ) oe 100
Q17 · The diagram shows a parallelogram
17 The diagram shows a parallelogram. (132 – 2x)° NOT TO SCALE (15 + 5x)° Work out the size of the smallest interior angle of the parallelogram. ................................................. [4]
Mark scheme: 17 70 4 B3 for x = 11 OR M1 for 132 – 2x + 15 + 5x = 180 oe M1 for collecting x terms on one side and number terms on the other for their equation. M1 for 15 + 5 × their x oe where –3 < their x < 15 or for 132 – 2 × their x oe where 21 < their x < 66
Question 18
18 Simplify. 18 x 6 3x 2 ................................................. [2]
Mark scheme: 18 6x4 final answer 2 B1 for 6xk (k ≠ 0) or mx4 (m ≠ 0) as final answer or correct answer spoilt
Q19 · Y 6 5 4 3 B 2 1 0 x 1 2 3 4 5 6 7 8 3 AB = e o - 2 Mark point A on the grid
19 y 6 5 4 3 B 2 1 0 x 1 2 3 4 5 6 7 8 3 AB = e o - 2 Mark point A on the grid. [1]
Mark scheme: 19 (1, 4) plotted 1
Q20 · Points A and B lie on a circle, centre O and radius r
20 Points A and B lie on a circle, centre O and radius r. A r O r B The area of the circle is 120 cm 2. Find the area of the right-angled triangle AOB. ........................................ cm2 [3]
Mark scheme: 20 19.1 or 19.09… nfww 3 1 120 M2 for × ( )2 2 OR 120 M1 for oe implied by 6.18… 1 or for × (their r)2 2
Q21 · Without using a calculator, work out 2 3 # 1 1
21 Without using a calculator, work out 2 3 # 1 1 . 4 2 You must show all your working and give your answer as a mixed number in its simplest form. ................................................. [3] Question 22 is printed on the next page.
Mark scheme: 21 11 3 M1 oe improper fractions and 4 2 33 A1 oe improper fractions 8 1 A1 A1 dep. on first A1 4 cao final answer 11 3 8 If M0 scored SC1 for or 4 2 2 4 + 3 1 2 + 1 NOT or for SC1 4 2
Q22 · Solve the simultaneous equations
22 Solve the simultaneous equations. You must show all your working. 2x + 7y = 34 3x + 5y = 18 x = ................................................. y = ................................................. [4]
Mark scheme: 22 correctly equating one set of coefficients M1 correct method to eliminate one variable M1 [x =] −4 A1 [y =] 6 A1 If A0 scored SC1 for 2 values satisfying one of the original equations.
What was in this paper
The subtopics covered by these 22 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
3Angles2Area and perimeter2Equations2Types of number2Algebraic manipulation1Fractions, decimals and percentages1Geometrical constructions1Introduction to algebra1Limits of accuracy1Percentages1Scale drawings1Scatter diagrams1Statistical charts and diagrams1Symmetry1Vectors in two dimensions1What you needed in this session
Cambridge’s own grade thresholds for 2024 Oct/Nov, Paper 1 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.