Question 11 mark
Question
Marco starts work at 20 45 and finishes at 02 08 the next day. Find the length of time, in hours and minutes, he works. …… h …… min [1]
Mark scheme
1 5[h] 23[min] 1
Mathematics 0580/23 October/November 2022: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 2 Extended, October/November 2022. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_w22_qp_230580_w22_ms_230580/23/O/N/22
- Paper
- Paper 2 Extended
- Total marks
- 70
- Time
- 1 hour 30 minutes
- Code on the paper
- 0580/23/O/N/22
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
120 121 149 164 216 From this list, write down (a) a square number …… [1] (b) a cube number. …… [1]
Mark scheme
2(a) 121 1 2(b) 216 1
Question 31 mark
Question
Calculate. 4.8 15 + 2.2 …… [1]
Mark scheme
3 6.05 or 6.054 to 6.055 1
Question 43 marks
Question
The mean mass of four men in a rowing team is 97.5 kg. The modal mass is 101 kg. The range of the masses is 8 kg. Find the mass of each of the four men. …… kg , …… kg , …… kg, …… kg [3] 5 2
Mark scheme
4 93 95 101 101 3 M1 for 4 × 97.5 implied by 390 or for four numbers which add to 390 B1 for four numbers with a range of 8 B1 for four numbers with mode of 101 to a maximum of 2 marks
Question 52 marks
Question
Without using a calculator, work out - . 7 3 You must show all your working and give your answer as a fraction in its simplest form. …… [2]
Mark scheme
5 15 14 M1 Allow any correct common denominator and oe 21k 21 21 1 A1 cao 21
Question 63 marks
Question
A spinner can land on the colours green, black or red. The table shows the probabilities of the spinner landing on green or black. Colour Green Black Red Probability 2 1 5 4 (a) Complete the table. [2] (b) Chang spins the spinner 120 times. Find the expected number of times it lands on green. …… [1]
Mark scheme
6(a) 7 2 2 1 oe or 0.35 or 35% M1 for 1 – + oe 20 5 4 6(b) 48 1
Question 72 marks
Question
Find the lowest common multiple (LCM) of 36 and 60. …… [2]
Mark scheme
7 180 2 M1 for answer 2 × 2 × 3 × 3 × 5 or better or for answer 180k or two correct factor trees, tables or Venn diagram or better or a list of multiples of both 36 and 60 with at least 3 correct of each
Question 82 marks
Question
A is the point (-3, 5) and B is the point (5, 2). Find the coordinates of the midpoint of the line AB. ( …… , …… ) [2]
Mark scheme
8 (1, 3.5) 2 B1 for each
Question 92 marks
Question
Solve the simultaneous equations. 3x - 2y = 21 5x + 2y = 51 x = …… y = …… [2]
Mark scheme
9 [x =] 9 2 B1 for each answer [y =] 3
Question 104 marks
Question
NOT TO 14 cm SCALE h cm 10 cm The diagram shows a right-angled triangle. (a) Calculate the value of h. h = …… [3] (b) Find the perimeter of this triangle. …… cm [1]
Mark scheme
10(a) 9.8[0] or 9.797 to 9.798 3 M2 for 142 –102 oe or better or M1 for 102 + h2 = 142 oe or better 10(b) 33.8 or 33.79 to 33.80 1 FT 24 + their (a)
Question 114 marks
Question
NOT TO SCALE (7x + 44)° (x + 8)° The diagram shows two sides of a regular polygon. The interior angle of the polygon is (7x + 44)° and the exterior angle is (x + 8)° . Find the number of sides of this polygon. …… [4]
Mark scheme
11 15 4 B2 for x = 16 soi or M1 for 7x + 44 + x + 8 = 180 or better M1 for 360 ÷ (their x + 8) oe
Question 123 marks
Question
Keita invests $4000 at a rate of 2.6% per year compound interest. Work out the interest earned on the investment at the end of 3 years. $ …… [3]
Mark scheme
12 320.18 3 B2 for 4320.18 3 2.6 or M1 for 4000 × 1 + [ – 4000] oe 100
Question 132 marks
Question
Convert 0.24o to a fraction. You must show all your working and give your answer in its simplest form. …… [2]
Mark scheme
13 2.4 − 0.24 oe M1 11 B1 k cao If 0 scored SC1 for . 45 90
Question 142 marks
Question
A map has a scale of 1 : 200 000. Find the area, in square kilometres, of a lake that has an area of 12.4 cm 2 on the map. …… km 2 [2]
Mark scheme
14 49.6 2 M1 for answer figs 496
Question 155 marks
Question
The diagram shows the speed–time graph for part of the journey of a car. NOT TO Speed 30 SCALE (m/s) 0 0 15 Time (seconds) The car starts from rest and accelerates at a uniform rate for 15 seconds before reaching a constant speed of 30 m/s. (a) Calculate the acceleration for the first 15 seconds. …… m/s 2 [1] (b) After T minutes, the total distance travelled is 45 kilometres. Find the value of T. T = …… min [4]
Mark scheme
15(a) 2 1 15(b) 25.125 4 15 × 30 M3 for + 30 ( k − 15) [ = figs 45] oe 2 OR B2 for 44 775 or 44.775 OR 15 × 30 M1 for or 30 ( k − 15) oe 2 B1 for 45 000 or 0.225 or 0.03
Question 166 marks
Question
A kite is drawn on a coordinate grid. The diagonals of the kite intersect at the point (-2, -5). One diagonal has equation y = 4x + 3. Find the equation of the other diagonal of the kite. Give your answer in the form y = mx + c . y = …… [3] 17 y is proportional to the square of (x - 7) . When x = 12, y = 2. Find y when x = 17. y = …… [3]
Mark scheme
16 1 11 3 1 [y =] − x − oe M1 for grad = – oe soi 4 2 4 M1 for correct substitution shown of (–2, –5) into y = (their m)x + c oe (their m ≠ 4)
Question 17
Question
In the question paper above.
Mark scheme
17 8 3
Question 183 marks
Question
Two bottles are mathematically similar. The small bottle has a capacity of 324 ml and a height of 12 cm. The large bottle has a capacity of 768 ml. Calculate the height of the large bottle. …… cm [3]
Mark scheme
18 16 3 768 M2 for 12 × 3 oe 324 768 324 h3 768 or M1 for 3 or 3 or 3 = 324 768 12 324 oe
Question 196 marks
Question
f (x) = 5x - 3, x 2 1 10 g (x) = , x!2 x-2 (a) Find gf(x). Give your answer in its simplest form. …… [2] (b) Find g -1 (x) . g -1 (x) = …… [3] (c) Find ff -1 (x - 1) . …… [1]
Mark scheme
19(a) 2 2 10 final answer M1 for or better x −1 5x − 3 − 2 19(b) 10 10 + 2 x 3 10 10 + 2 y + 2 or final answer M2 for y − 2 = or x = oe x x x y or yx = 10 + 2x oe 10 or M1 for x = or y(x – 2) = 10 oe y−2 or better 19(c) x–1 1
Question 205 marks
Question
(a) y 1 0 360° x –1 Sketch the graph of y = sin x for 0° G x G 360° . [2] 13 (b) Solve 3 - 2 sin x = for 0° G x G 360° . 4 x = …… or x = …… [3]
Mark scheme
20(a) 2 B1 for correct sine curve shape through the origin Correct sketch to go through (0, 0), (180, 0) and (360, 0) 20(b) 187.2 3 B2 for one correct value, if more than two and 352.8 answers given award B2 if any of the correct answers found and may be in the working 1 or M1 for sin x = − oe soi 8 If 0 scored, SC1 for two reflex angles with a sum of 540 or two non-reflex angles with a sum of 180
Question 215 marks
Question
North B 112° 12.8 km NOT TO SCALE C 25° A 17.6 km The diagram shows the positions of three ships A, B and C. AC = 17.6 km, BC = 12.8 km and angle BAC = 25°. The bearing of C from B is 112° and angle ABC is obtuse. Calculate the bearing of B from A. …… [5] Question 22 is printed on the next page.
Mark scheme
21 076 or 076.4 to 076.5 5 B3 for [angle ABC =] 144 or 144.4 to 144.5 OR 17.6sin 25 M2 for [sin ABC =] oe 12.8 17.6 12.8 or M1 for = oe sin B sin 25 M1 for 180 – their 35.5 AND M1 for their angle ABC – (180 – 112) oe
Question 227 marks
Question
(a) Expand and simplify. (2x - 1) (x + 4) (x - 3) …… [3] (b) Write as a single fraction in its simplest form. 4 2x 2 + 14x ' 2 2x - 3 2x + 11x - 21 …… [4]
Mark scheme
22(a) 2x3 + x2 – 25x + 12 final answer 3 B2 for correct unsimplified expanded expression or for simplified four-term expression of correct form with 3 terms correct or B1 for correct expansion of 2 brackets with at least 3 terms out of 4 correct 22(b) 4 4 2 x + 11x − 21 2 2 final answer M1 for × oe soi x 2x − 3 2 x 2 + 14 x B1 for (x + 7)(2x – 3) oe factorised B1 for 2x(x + 7) oe factorised
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Where can I find the 0580/23 October/November 2022 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/23, October/November 2022 (0580_w22_ms_23), and the question paper (0580_w22_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 2022 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/22 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.