Question 11 mark
Question
Write the number half a million in figures. …… [1]
Mark scheme
1 500 000 1
Mathematics 0580/12 October/November 2024: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 1 (Core), October/November 2024. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_w24_qp_120580_w24_ms_120580/12/O/N/24
- Paper
- Paper 1 (Core)
- Total marks
- 56
- Time
- 1 hour
- Code on the paper
- 0580/12/O/N/24
0580/12 mark scheme, question by question
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 23 marks
Question
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 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 32 marks
Question
Solve. (a) 5x = 14 x = …… [1] (b) x + 6 = 25 x = …… [1]
Mark scheme
3(a) 2.8 1 3(b) 19 1
Question 44 marks
Question
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
Question 52 marks
Question
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
Question 62 marks
Question
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
Question 72 marks
Question
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 82 marks
Question
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
Question 92 marks
Question
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
Question 103 marks
Question
1 0.25 3.142 3 -3 24 - 0.4 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
Question 112 marks
Question
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
Question 123 marks
Question
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
Question 135 marks
Question
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
Question 142 marks
Question
The diagram shows a trapezium. NOT TO 9.5 cm x cm SCALE 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
Question 152 marks
Question
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
Question 162 marks
Question
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
Question 174 marks
Question
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 182 marks
Question
Simplify. 18x 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
Question 191 mark
Question
y 6 5 4 3 B 2 1 0 1 2 3 4 5 6 7 8 x 3 AB = e o -2 Mark point A on the grid. [1]
Mark scheme
19 (1, 4) plotted 1
Question 203 marks
Question
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. …… cm 2 [3]
Mark scheme
20 19.1 or 19.09… nfww 3 1 120 M2 for ×( )2 2 π OR 120 M1 for oe implied by 6.18… π 1 or for × (their r)2 2
Question 213 marks
Question
Without using a calculator, work out 2 34 # 1 12 . 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
Question 224 marks
Question
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.
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0580/12 questions
Where can I find the 0580/12 October/November 2024 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/12, October/November 2024 (0580_w24_ms_12), and the question paper (0580_w24_qp_12), to read or download, with each question's marking points written out underneath.
How many marks is 0580/12 out of?
Mathematics 0580/12 for October/November 2024 is out of 56 marks, with 1 hour to answer it.
Can I get my 0580/12 answers marked?
Yes. Upload your answers to 0580/12/O/N/24 as a PDF or photos, and CIE Buddy marks every question against this paper's official mark scheme, using Cambridge's marking rules. You get your score, each lost mark explained on your own script, and the topics to revise. It's a guide, not an official Cambridge grade.