Question 1
Question
61 62 63 64 65 66 67 68 69 From the list of numbers, write down (a) a cube number (b) a prime number
Mark scheme
1(a) 64 1 1(b) 61 or 67 or both 1
Mathematics 0580/23 October/November 2024: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 2 (Extended), 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_230580_w24_ms_230580/23/O/N/24
- Paper
- Paper 2 (Extended)
- Total marks
- 70
- Time
- 1 hour 30 minutes
- Code on the paper
- 0580/23/O/N/24
0580/23 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 2
Question
A train journey starts at 23 30 and finishes at 07 15 the next day Find the time taken for this journey
Mark scheme
2 7[h] 45 [min] 1
Question 3
Question
Simplify 3p - t – p - 4t
Mark scheme
3 2p – 5t final answer 2 B1 for 2p or −5t in final answer or for 2 p – 5t seen then spoilt
Question 4
Question
The scale drawing shows the positions of town K and town L The scale is 1 cm represents 10 km North L North K Scale : 1 cm to 10 km (a) Find the actual distance between town K and town L (b) Measure the bearing of town L from town K
Mark scheme
4(a) 85 2 B1 for 8.5 or M1 for their 8.5 × 10 4(b) 065 1
Question 5
Question
Each student in a class of 20 students records the number of coins in their pockets The table shows the results Number of coins 0 1 2 3 4 5 6 Frequency 3 1 7 8 0 0 1 (a) Find the median (b) Calculate the mean
Mark scheme
5(a) 2 1 5(b) 2.25 3 M1 for [3×0] + 1×1 + 7×2 + 8×3 + [0×4] + [0×5] + 1×6 oe or for 45 theirΣfx M1 dep for dep on first M1 20
Question 6
Question
NOT TO SCALE 80° w° The diagram shows three lines meeting at a point Find the value of w
Mark scheme
6 190 1
Question 7
Question
Solve the equation 7 - h = 3 - 5h
Mark scheme
7 –1 2 M1 for 5h – h = 3 – 7 or 7 – 3 = h – 5h or better
Question 8
Question
Sacha buys b books and m magazines The cost of each book is $12 and the cost of each magazine is $5 Write an expression, in terms of b and m, for the total cost of the books and the magazines
Mark scheme
8 12b + 5m 2 B1 for 12b + km or kb + 5m or correct answer seen and spoilt
Question 9
Question
Find the size of an interior angle of a regular 15-sided polygon 1 11
Mark scheme
9 156 2 M1 for 180 – 360 ÷ 15 oe or 180 × (15 – 2 ) oe 15
Question 10
Question
Without using a calculator, work out 2 - 1 4 12 You must show all your working and give your answer as a fraction in its simplest form
Mark scheme
10 B1 Correct step for dealing with mixed 9 23 1 11 oe or oe 1 − numbers 4 12 4 12 9k 23k Allow or 4k 12 k M1 Correct method to find common 27 23 3 11 and [1] and denominator 12 12 12 12 3 11 e.g. 2 and 1 12 12 1 A1 cao 3
Question 11
Question
Solve the simultaneous equations 3p - 2q = 7 p + 2q = 1
Mark scheme
11 [p = ] 2 2 B1 for each 1 [q =] − oe 2
Question 12
Question
3 x V= y Rearrange the formula to write x in terms of V and y
Mark scheme
12 V 3 y final answer 2 x M1 for V 3 = y
Question 13
Question
Find the nth term of each sequence (a) 21, 13, 5, - 3, - 11, f (b) 25, 5, 10, 20, 40, f
Mark scheme
13(a) 29 – 8n oe final answer 2 B1 for k – 8n or 29 – cn c ≠ 0, or 29 – 8n seen then spoilt 13(b) 5 × 2n− 2 oe final answer 2 B1 for 2 k or correct answer seen and spoilt
Question 14
Question
(a) D S C 41° x° 37° NOT TO SCALE A y° T B A, B, C and D lie on the circle TAS is a tangent to the circle at A (i) Find the value of x (ii) Find the value of y (b) NOT TO SCALE O w° R P 115° Q P, Q and R lie on the circle, centre O Find the value of w
Mark scheme
14(a)(i) 41 1 14(a)(ii) 37 1 14(b) 130 2 M1 for 2 (180 − 115 ) or 360 − 2 ×115 or for reflex POR = 230 or for an opposite angle in cyclic quad drawn in and labelled 65
Question 15
Question
10 20 30 40 50 60 70 80 Height (cm) The box-and-whisker diagram shows information about the heights of some plants (a) Find the median height (b) Find the interquartile range of the heights
Mark scheme
15(a) 28 1 15(b) 33 1
Question 16
Question
C 17.2 cm 11.1 cm NOT TO 33.14° SCALE A B 20.3 cm Calculate the shortest distance from C to AB
Mark scheme
16 9.4[0] or 9.403... 3 dist M2 for sin 33.14 = oe 17.2 or M1 for recognition that the line from C is perpendicular to AB
Question 17
Question
Simplify (a) 18x 18 ' 3x 3 2 (b) `125y 75j 3
Mark scheme
17(a) 6x15 final answer 2 B1 for kx15 or 6 xc as final answer or correct answer seen and spoilt 17(b) 25 y 50 final answer 2 B1 for ky 50 or 25 y c as final answer or correct answer seen and spoilt
Question 18
Question
Two mathematically similar solids have volumes 81 cm 3 and 24 cm 3 The height of the smaller solid is 48 cm Calculate the height of the larger solid 19 y is inversely proportional to x + 2 When x = 2, y = 3 Find y in terms of x
Mark scheme
18 7.2 3 81 M2 for 4.8 × 3 oe 24 81 or M1 for 3 oe 24 3 4.8 24 or for = oe h 81
Question 19
Question
In the question paper above.
Mark scheme
19 6 2 k [y = ] oe final answer M1 for y = oe x+2 x+2
Question 20
Question
Solve the equation tan x + 2 = 0 for 0° G x G 360°
Mark scheme
20 116.6 and 296.6 3 B2 for one correct answer or M1 for tan x = –2 If 0 or M1 scored, SC1 for two angles with a difference of 180 in range from 0 to 360
Question 21
Question
% A B 1 3 5 5 1 2 2 6 C The Venn diagram shows the number of elements in each region (a) Use set notation to describe the shaded region (b) Find n (A + B + C )
Mark scheme
21(a) ( B C ) A′ oe 1 21(b) 5 1
Question 22
Question
P 4 cm NOT TO SCALE D C 5 cm A 12 cm B The diagram shows a cuboid with a diagonal PB
Mark scheme
22 17.1 or 17.10... 4 4 M3 for tan = oe 12 2 + 52 or M2 for 122 + 52 oe or 122 + 52 + 42 oe or M1 for recognising angle PBD
Question 23
Question
Write x 2 + 8x - 7 in the form (x + a) 2 + b
Mark scheme
23 ( x + 4)2 − 23 final answer 2 B1 for ( x + 4)2
Question 24
Question
A rectangle has an area of 150 m 2 , correct to the nearest square metre The length of the rectangle is 22 m, correct to the nearest metre Calculate the upper bound of the width of the rectangle
Mark scheme
24 7 nfww 3 150 to151 150 + 0.5 M2 for or for oe 22 − 0.5 21 to 22 or M1 for 150 + 0.5 or 150 – 0.5 or 22 + 0.5 or 22 – 0.5 oe seen
Question 25
Question
Simplify 3x - 2 - 3xy + 2y 1 - y2
Mark scheme
25 3x − 2 4 B2 for ( 3 x − 2 )(1 − y ) or ( 2 − 3 x )( y − 1) final answer 1+ y or B1 for 3 x − 2 − y ( 3 x − 2 ) or for 3 x (1 − y ) − 2 (1 − y ) B1 for (1 − y )(1 + y ) or ( y − 1)( −1 − y ) or − ( y − 1)(1 + y )
Question 26
Question
C B NOT TO K b SCALE O A a In the diagram, OA = a and OB = b AK | KB = 2 | 1 OK = KC Find AC in terms of a and b Give your answer in its simplest form
Mark scheme
26 1 4 4 B3 for correct unsimplified answer − a + b oe final simplified answer 3 3 1 2 or B2 for OK or KC = a + b oe 3 3 2 or M1 for AK = (–a + b) oe 3 1 or BK = (–b + a) oe 3 or a correct vector route for AC along lines in diagram
Checked your answers against these? Let AI mark the whole paper, on your own working.
Mark my 0580/23How this paper is marked
Examiners follow the generic marking principles at the front of the scheme, then each question's points: method (M), accuracy (A) and independent (B) marks, error carried forward where the scheme allows it, and positive marking, so you're credited for what you got right.
Check your answers against it
Done this paper? Upload your script and CIE Buddy's AI marker marks it question by question against this exact scheme, puts the ticks on your own working and says what each lost mark needed.
Other variants, October/November 2024
Find another Mathematics paper
Every IGCSE Mathematics mark schemeQuestion papers and mark schemes © Cambridge University Press & Assessment. CIE Buddy is independent and not connected to Cambridge.
0580/23 questions
Where can I find the 0580/23 October/November 2024 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/23, October/November 2024 (0580_w24_ms_23), and the question paper (0580_w24_qp_23), to read or download, with each question's marking points written out underneath.
How many marks is 0580/23 out of?
Mathematics 0580/23 for October/November 2024 is out of 70 marks, with 1 hour 30 minutes to answer it.
Can I get my 0580/23 answers marked?
Yes. Upload your answers to 0580/23/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.