Question 11 mark
Question
Tara goes on a journey by train. The train leaves at 06 48. The journey takes 12 hours and 35 minutes. Find the time when Tara arrives. …… [1]
Mark scheme
1 19 23 or 7 23 pm 1
Mathematics 0580/23 October/November 2023: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 2 (Extended), October/November 2023. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_w23_qp_230580_w23_ms_230580/23/O/N/23
- Paper
- Paper 2 (Extended)
- Total marks
- 70
- Time
- 1 hour 30 minutes
- Code on the paper
- 0580/23/O/N/23
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 22 marks
Question
61 63 64 66 68 69 From this list, write down (a) a cube number …… [1] (b) a prime number. …… [1]
Mark scheme
2(a) 64 1 2(b) 61 1
Question 33 marks
Question
The stem-and-leaf diagram shows the heights, in centimetres, of some plants. 10 4 8 11 1 3 4 6 12 2 3 6 9 13 2 6 9 Key: 10 4 represents 10.4 cm (a) Find the median height. …… cm [1] (b) Work out the mean height. …… cm [2]
Mark scheme
3(a) 12.2 1 3(b) 12.1 2 B1 for 157.3 oe or M1 for their total ÷ 13
Question 42 marks
Question
Shubhu invests $750 in a savings account for 5 years. The account pays simple interest at a rate of 1.8% per year. Calculate the total interest she earns during the 5 years. $ …… [2]
Mark scheme
4 67.5[0] 2 750 × 1.8 [×5] M1 for oe 100
Question 53 marks
Question
B NOT TO 112° SCALE 44° C M A The diagram shows triangle ABC. M is the midpoint of AC. Triangle ABC is rotated 180° about centre M. The image and the original triangle together form a quadrilateral ABCD. (a) Write down the mathematical name of the quadrilateral ABCD. …… [1] (b) Find angle BAD. Angle BAD = …… [2]
Mark scheme
5(a) Parallelogram 1 5(b) 68 2 M1 for 180 – 112 oe or for 180 − 112 − 44
Question 63 marks
Question
Rama asks a group of students how they travel to school. The table shows the probability of how a student, chosen at random, travels to school. Bus Walk Car Other Probability 0.4 0.32 0.17 (a) Complete the table. [2] (b) There are 1800 students at the school. Find the expected number of students that walk to school. …… [1] 5 11
Mark scheme
6(a) 0.11 oe 2 M1 for 1 – (0.4 + 0.32 + 0.17) oe 6(b) 576 1
Question 73 marks
Question
Without using a calculator, work out 1 ' . 6 15 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]
Mark scheme
7 11 15 M2 11 × or B1 for oe 6 11 6 55k 22k their 11 15 ÷ oe with common or M1 for their × 30k 30k 6 11 denominator 1 A1 2 cao 2
Question 82 marks
Question
Find the highest common factor (HCF) of 48 and 80. …… [2] 2wy 2
Mark scheme
8 16 2 B1 for answer 2 or 4 or 8 or M1 for 2 × 2 × 2 × 2 oe as final answer or [48 =] 2 × 2 × 2 × 2 × 3 and [80 =] 2 × 2 ×2×2×5 or for 2 correct factor trees or tables
Question 93 marks
Question
P= 3 Find the positive value of y when P = 108 and w = 8 . y = …… [3] 7
Mark scheme
9 1 9 3 3P 3×108 4.5, 4 or M2 for y2 = or y2 = or better 2 2 2w 2 ×8 2 ×8× y 2 or M1 for 108 = or better 3
Question 103 marks
Question
AB = e o -3 (a) Find 3AB . f p [1] (b) Find AB . AB = …… [2]
Mark scheme
10(a) 21 1 −9 10(b) 7.62 or 7.615 to 7.616 2 M1 for (7)2 + ( – 3)2 oe If 0 scored SC1 for 22.8 or 22.84 to 22.85
Question 114 marks
Question
A bronze sphere has radius 3.6 cm. The density of bronze is 8.05 g/cm 3 . Find the mass of the sphere. Give your answer in kilograms, correct to the nearest gram. 4 [The volume, V, of a sphere with radius r is V = rr 3 .] 3 [Density = mass ' volume .] …… kg [4]
Mark scheme
11 1.573 cao 4 B3 for answer figs 157[0] or 1573… OR 4 M2 for × π × 3.63 × 8.05 oe or better 3 4 or M1 for × π × 3.63 oe 3 M1 for division by 1000 of their mass in g and correct rounding to 3 dp
Question 123 marks
Question
Oliver sent 22% more messages in June than in May. He sent 305 messages in June. Find how many more messages he sent in June than in May. …… [3]
Mark scheme
12 55 3 B2 for 250 or M2 for (305 ÷ 122) × 22 oe or better 22 or M1 for 1 + m = 305 oe or better 100
Question 134 marks
Question
The graph of y = 2x + 1 is drawn on the grid. y 5 4 3 2 1 -5 -4 -3 -2 -1 0 1 2 3 4 5 x -1 -2 -3 -4 By shading the unwanted regions of the grid, find and label the region R which satisfies these inequalities. y H 2x + 1 yH1 4x + 3y 1 12 [4]
Mark scheme
13 Correct region indicated 4 B1 for 4x + 3y = 12 dashed line B1 for y = 1 solid line B2 for region identified satisfying all 1 3 inequalities or B1 for region satisfying only 2 of these R inequalities with 4x + 3y = 12 and y = 1 1 both drawn 1
Question 142 marks
Question
The box-and-whisker plot shows information about the mass, in kg, of some parcels. 1 1.5 2 2.5 3 3.5 Mass (kg) (a) Find the mass of the heaviest parcel. …… kg [1] (b) Find the interquartile range. …… kg [1]
Mark scheme
14(a) 3.3 1 14(b) 0.55 1
Question 153 marks
Question
T = 3d - e Rearrange the formula to make d the subject. d = …… [3]
Mark scheme
15 T2 +e 3 M1 for T 2 = 3d – e [d =] oe final answer M1 for isolating term in d 3 M1 for dividing by 3 Max 2 marks if answer incorrect
Question 164 marks
Question
A cylinder with height 12.5 cm has a curved surface area of 105r cm 2 . Calculate the volume of the cylinder. …… cm 3 [4]
Mark scheme
16 693 or 692.7 to 692.8… 4 105 M2 for oe 2 ×12.5 or M1 for 2 × π × r × 12.5 = 105π or better M1 for π × (their r)2 × 12.5
Question 174 marks
Question
(a) Simplify. `64y 27j3 2 …… [2] (b) Simplify. x-5 x 2 - 25 …… [2]
Mark scheme
17(a) 16y18 final answer 2 B1 for 16yk or ky18 as final answer or correct answer spoiled 17(b) 1 2 B1 for (x + 5)(x – 5) final answer x +5
Question 183 marks
Question
F is proportional to the product of m and a. Calculate the percentage change in F when m is increased by 40% and a is decreased by 15%. …… % [3]
Mark scheme
18 19 3 40 15 M2 for 1 + 1 − [ma] oe 100 100 or M1 for F = kma or better or 40 15 1 + and 1 − oe seen 100 100
Question 194 marks
Question
R NOT TO 13.5 cm SCALE Q 42° 18 cm P Calculate the obtuse angle PRQ. Angle PRQ = …… [4]
Mark scheme
19 116.9 or 116.85… 4 18sin 42 M3 for 180 – sin −1 13.5 or B3 for 63.1 or 63.14 to 63.15 18sin 42 or M2 for [sin PRQ = ] 13.5 18 13.5 or M1 for = oe sin PRQ sin 42
Question 203 marks
Question
(x + a) (x + 2) (2x + 3) is equivalent to 2x 3 + bx 2 + cx - 18 . Find the value of each of a, b and c. a = …… b = …… c = …… [3]
Mark scheme
20 [a =] – 3 3 B1 for a = – 3 [b =] 1 B1FT for b = 7 + 2 × their a [c =] – 15 B1FT for c = 6 + 7 × their a If B0 scored B1 for correct expansion of a pair of brackets or of three brackets ( ) x2 + ax + 2 x + 2a [ 2 x + 3] or [ x + a]( 2 x2 + 4 x + 3x + 6) or 2x3 + ( 2a + 7) x2 + ( 7a + 6) x + 6a oe or for b = 7 + 2a or for c = 6 + 7a
Question 216 marks
Question
H M G NOT TO E F SCALE 8 cm D C 5 cm A 14 cm B The diagram shows a cuboid ABCDEFGH. AB = 14 cm, BC = 5 cm and CG = 8 cm. M is the midpoint of HG. (a) Calculate BM. …… cm [3] (b) Calculate the angle that BM makes with the base ABCD. …… [3] Question 22 is printed on the next page.
Mark scheme
21(a) 11.7 or 11.74 to 11.75 3 14 2 M2 for + 52 + 82 oe 2 2 2 14 14 or M1 for + 52, 52 + 82 or + 82 2 2 21(b) 42.9 to 43.14 3 8 M2 for sin [….] = oe their (a) or M1 for recognising angle MBX where X is the midpoint of DC
Question 225 marks
Question
Find the coordinates of the point where the line 4x + y = 9 intersects the curve y + x 2 = 5. You must show all your working. ( …… , ……) [5]
Mark scheme
22 x2 – 4x + 4 [= 0] M2 M1 for 9 – 4x = 5 – x2 oe (x – 2)(x – 2) M1 Accept alt methods e.g. use of formula, complete the square for their 3 – term quadratic equation (2, 1) B2 B1 for x = 2
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Where can I find the 0580/23 October/November 2023 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/23, October/November 2023 (0580_w23_ms_23), and the question paper (0580_w23_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 2023 is out of 70 marks, with 1 hour 30 minutes to answer it.
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Yes. Upload your answers to 0580/23/O/N/23 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.