Question 11 mark
Question
Write the number one hundred and three thousand eight hundred and six in figures. …… [1]
Mark scheme
1 103 806 1
Mathematics 0580/13 May/June 2022: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 1 (Core), May/June 2022. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_s22_qp_130580_s22_ms_130580/13/M/J/22
- Paper
- Paper 1 (Core)
- Total marks
- 56
- Time
- 1 hour
- Code on the paper
- 0580/13/M/J/22
0580/13 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
B A (a) Measure the length of the line AB in millimetres. …… mm [1] (b) Mark the midpoint, M, of the line AB. [1] (c) Draw a line through M that is perpendicular to the line AB. [1]
Mark scheme
2(a) 86 1 2(b) Point marked at 4.3 cm from A 1 2(c) Ruled line through M perpendicular to 1 AB
Question 31 mark
Question
Simplify. 3x - 4x + 7x …… [1]
Mark scheme
3 6x 1
Question 42 marks
Question
Work out the area of a rectangle that is 9.5 m long and 6.8 m wide. …… m2 [2]
Mark scheme
4 64.6 2 M1 for 9.5 × 6.8
Question 51 mark
Question
The probability of picking a red sweet from a bag is 0.05 . Find the probability of not picking a red sweet. …… [1]
Mark scheme
5 0.95 oe 1
Question 61 mark
Question
North A North B Measure the bearing of point B from point A. …… [1] mk 3
Mark scheme
6 142° 1
Question 72 marks
Question
Work out the value of when m = 4 and k = 7 . 3 …… [2]
Mark scheme
7 792 or 792.1… 2 4 × 73 M1 for oe 3 or B1 for 1372
Question 82 marks
Question
A box, in the shape of a cuboid, has volume 357 cm3. It has a length of 8.5 cm and a width of 6 cm. Calculate the height of the box. …… cm [2]
Mark scheme
8 7 2 M1 for 357 ÷ (8.5 × 6)
Question 92 marks
Question
T NOT TO S SCALE R 73° 75° P 129° Q PQRS is a quadrilateral. RST is a straight line. Find angle PST. Angle PST = …… [2]
Mark scheme
9 97 2 M1 for 360 – (73 + 129 + 75)
Question 103 marks
Question
These are the masses, in kg, of 12 parcels. 0.3 0.4 1.2 0.8 1.1 2.1 1.7 1.8 1.2 2.3 0.7 1.1 (a) Complete the stem-and-leaf diagram for the 12 parcels. 0 3 4 1 2 Key: 0 q3 represents 0.3 kg [2] (b) Find the median. …… kg [1]
Mark scheme
10(a) 0 (3 4) 7 8 2 B1 for two rows correct or for fully correct unordered stem-and-leaf diagram 1 1 1 2 2 7 8 or for a correct diagram with one error or omission 2 1 3 10(b) 1.15 1
Question 114 marks
Question
The grid shows point P and point R. y 5 P 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 x –1 –2 –3 R –4 –5 (a) Write down the coordinates of point P. ( …… , …… ) [1] 3 (b) PQ = e o -2 Mark point Q on the grid. [1] (c) Find QR. QR = f p [1] (d) Complete this statement. PQ + QR = …… [1]
Mark scheme
11(a) (−1, 4) 1 11(b) Q marked at (2, 2) 1 11(c) −6 1 FT their point Q −5 11(d) PR 1
Question 122 marks
Question
Simplify. (a) y 3 ' y 5 …… [1] (b) 7x 0 …… [1]
Mark scheme
12(a) 1 1 y−2 or final answer y2 12(b) 7 1
Question 134 marks
Question
The scatter diagram shows the number of visitors and the total amount spent, in thousands of dollars, at a zoo on each of eight days. 45 40 35 30 Total amount 25 spent ($1000) 20 15 10 5 0 150 200 250 300 350 400 450 500 550 600 Number of visitors (a) On one of the eight days there are 410 visitors. Find the total amount spent by visitors during this day. $ …… [1] (b) Information for the ninth day is shown in the table. Number of visitors 175 Total amount spent ($1000) 9 Plot this information on the scatter diagram. [1] (c) Draw a line of best fit on the scatter diagram. [1] (d) On the tenth day the total amount spent is $22 000. Estimate the number of visitors on this day. …… [1]
Mark scheme
13(a) 27 000 1 13(b) Point plotted at (175, 9) 1 13(c) Correct single ruled line of best fit 1 13(d) 300 to 350 1 FT their straight line of best fit provided positive gradient
Question 146 marks
Question
NOT TO 5 cm 5 cm SCALE h 4 cm (a) Calculate the height, h, of the triangle. h = …… cm [3] (b) The triangle is one face of a square-based pyramid. On the 1 cm2 grid, draw a net of this pyramid. [3]
Mark scheme
14(a) 4.58 or 4.582 to 4.583 3 M2 for 52 − 22 or better or M1 for 52 = 22 + h2 or better 14(b) Correct ruled net of the pyramid 3 B2 for a 4 by 4 square and 4 isosceles triangles on the sides of the square or B1 for a 4 by 4 square or at least one isosceles triangle drawn on a side of a square
Question 152 marks
Question
Factorise completely. 18px - 27p …… [2]
Mark scheme
15 9p(2x – 3) final answer 2 B1 for 9(2px – 3p) or p(18x – 27) or 3p(6x – 9) or 9p(2x – 3) seen and spoilt
Question 162 marks
Question
The nth term of a sequence is n 2 - 1. Find the first three terms of this sequence. …… , …… , …… [2]
Mark scheme
16 0 3 8 2 B1 for 2 correct terms in correct position or SC1 for −1 0 3
Question 173 marks
Question
C Q NOT TO SCALE 9.2 cm 9.2 cm 7.3 cm A 7.3 cm B R P The diagram shows two right-angled triangles, ABC and PQR. (a) Complete this statement with a geometrical term. Triangle ABC is …… to triangle PQR. [1] (b) Calculate angle ABC. Angle ABC = …… [2]
Mark scheme
17(a) Congruent 1 17(b) 37.5 or 37.48 to 37.49 2 7.3 M1 for cos[ABC =] 9.2
Question 182 marks
Question
Find the lowest common multiple (LCM) of 32 and 40. …… [2]
Mark scheme
18 160 2 B1 for 160k as final answer or M1 for [32=] 2 × 2 × 2 × 2 × 2 and [40=] 2 × 2 × 2 × 5 or two correct factor trees or correct tables or a list of multiples of both 32 and 40 with at least 3 of each or 2 × 2 × 2 × 2 × 2 × 5
Question 193 marks
Question
Joe thinks of a number, n, trebles it, and subtracts 5. The result is 22. Write this as an equation in terms of n, and solve the equation. n = …… [3]
Mark scheme
19 3n – 5 = 22 1 9 final answer 2 B2FT their equation providing their equation is in the form an+b=22 where a≠0 or 1 and b≠0 5 22 or M1FT for 3n = 22 + 5 or n − = 3 3
Question 202 marks
Question
y 4 3 L 2 1 –3 –2 –1 0 1 2 x –1 –2 –3 –4 –5 –6 Find the gradient of line L. …… [2]
Mark scheme
20 −2 2 −2k M1 for 1k y − y1 or for 2 for 2 points on the line x2 − x1
Question 212 marks
Question
Dominic asks 30 students in his class if they are right-handed or left-handed. 7 students are left-handed. Work out the expected number of left-handed students in the whole school of 960 students. …… [2] 1 7
Mark scheme
21 224 2 7 M1 for [×960] oe 30
Question 223 marks
Question
Without using a calculator, work out 4 - 1 . 6 8 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]
Mark scheme
22 B1 Correct step for dealing with mixed 25 15 1 7 or 3 − numbers 6 8 6 8 25k 15k Allow or 6k 8k M1 Correct method to find common 100 45 4 21 and oe [3] and denominator 24 24 24 24 4 21 e.g. 4 and 1 24 24 7 A1 2 final answer 24
Question 233 marks
Question
Solve the simultaneous equations. You must show all your working. 4x - 3y = 26 5x + 6y = 13 x = …… y = …… [3]
Mark scheme
23 For correct method to eliminate one M1 variable [x =] 5 A1 [y =] −2 A1 If zero scored, SC1 for 2 values satisfying one of the original equations or SC1 if no working shown, but 2 correct answers
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Where can I find the 0580/13 May/June 2022 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/13, May/June 2022 (0580_s22_ms_13), and the question paper (0580_s22_qp_13), to read or download, with each question's marking points written out underneath.
How many marks is 0580/13 out of?
Mathematics 0580/13 for May/June 2022 is out of 56 marks, with 1 hour to answer it.
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Yes. Upload your answers to 0580/13/M/J/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.