Question 11 mark
Question
Write down the order of rotational symmetry of the diagram. …… [1]
Mark scheme
1 2 1
Mathematics 0580/22 May/June 2020: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 2 (Extended), May/June 2020. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_s20_qp_220580_s20_ms_220580/22/M/J/20
- Paper
- Paper 2 (Extended)
- Total marks
- 70
- Time
- 1 hour 30 minutes
- Code on the paper
- 0580/22/M/J/20
0580/22 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 21 mark
Question
At noon the temperature in Maseru was 21 °C. At midnight the temperature had fallen by 26 °C. Work out the temperature at midnight. …… °C [1]
Mark scheme
2 –5 1
Question 32 marks
Question
C NOT TO x° SCALE 50° A B D AB = BC and ABD is a straight line. Find the value of x. x = …… [2]
Mark scheme
3 25 2 B1 for 130 seen or M1 for 50 ÷ 2
Question 42 marks
Question
Write down (a) a square number greater than 10, …… [1] (b) an irrational number. …… [1]
Mark scheme
4(a) Any square number greater than 10 1 4(b) Any irrational number 1
Question 52 marks
Question
y = mx + c Find the value of y when m =- 3, x =- 2 and c =- 8 . y = …… [2]
Mark scheme
5 –2 2 M1 for (–3)(–2) + (–8)
Question 62 marks
Question
11 cm NOT TO SCALE 5 cm 7 cm Calculate the area of the trapezium. …… cm 2 [2]
Mark scheme
6 45 2 11 + 7 M1 for × 5 oe 2
Question 71 mark
Question
A B On the Venn diagram, shade the region A + B . [1]
Mark scheme
7 Intersection shaded 1
Question 81 mark
Question
Write 2 - 4 as a decimal. …… [1]
Mark scheme
8 0.0625 1
Question 92 marks
Question
North NOT TO SCALE North A B The bearing of B from A is 105°. Find the bearing of A from B. …… [2]
Mark scheme
9 285 2 M1 for 180 + 105 or 75 or 105 seen in correct position at B
Question 102 marks
Question
Simplify. p 4pq # 2q t …… [2] 3 11
Mark scheme
10 2 p2 2 B1 for correct unsimplified answer t
Question 113 marks
Question
Without using a calculator, work out 1 - . 4 12 You must show all your working and give your answer as a fraction in its simplest form. …… [3]
Mark scheme
11 7 9 B1 4 12 21 2 M1 1− 12 12 5 5 A1 6 6
Question 122 marks
Question
Roberto buys a toy for $5.00 . He then sells it for $4.60 . Calculate his percentage loss. …… % [2]
Mark scheme
12 8 2 5 − 4.60 4.60 M1 for [×100] or × 100 5 5
Question 132 marks
Question
Simplify 8t 8 ' 4t 4 . …… [2]
Mark scheme
13 2t 4 2 B1 for 2tn or kt4 (n,k ≠ 0)
Question 142 marks
Question
Solve the equation. 1-x =5 3 x = …… [2]
Mark scheme
14 –14 2 M1 for 1 – x = 3 × 5 or better x 1 or = 5 − or better 3 3
Question 151 mark
Question
Ella’s height is 175 cm, correct to the nearest 5 cm. Write down the upper bound of Ella’s height. …… cm [1]
Mark scheme
15 177.5 1
Question 161 mark
Question
Calculate (3 # 10 - 3) 3 . Give your answer in standard form. …… [1]
Mark scheme
16 2.7 × 10–8 1
Question 173 marks
Question
A train of length 105 m takes 11 seconds to pass completely through a station of length 225 m. Calculate the speed of the train in km/h. …… km/h [3]
Mark scheme
17 108 3 M1 for (105 + 225) ÷ 11 60 × 60 M1 for their speed × 1000
Question 183 marks
Question
y 8 T 6 4 U 2 x 0 2 4 6 8 Describe fully the single transformation that maps triangle T onto triangle U. …… [3]
Mark scheme
18 Enlargement 3 B1 for each 1 [scale factor] − 2 [centre] (3, 4)
Question 193 marks
Question
Make y the subject of the formula. h 2 = x 2 + 2y 2 y = …… [3]
Mark scheme
19 h2 − x2 3 M1 for correct rearrangement for y or y2 term [±] M1 for correct square root 2 M1 for correct division by 2 or 2
Question 204 marks
Question
D C 20° NOT TO SCALE O 131° B T A A, B, C and D lie on the circle, centre O. TA is a tangent to the circle at A. Angle ABC = 131° and angle ADB = 20°. Find (a) angle ADC, Angle ADC = …… [1] (b) angle AOC, Angle AOC = …… [1] (c) angle BAT, Angle BAT = …… [1] (d) angle OAB. Angle OAB = …… [1]
Mark scheme
20(a) 49 1 20(b) 98 1 FT 2 × their (a) 20(c) 20 1 20(d) 70 1 FT 90 – their (c)
Question 217 marks
Question
Simplify. (a) (5x 4) 3 …… [2] 3 (b) (256x 256)8 …… [2] 22 p is directly proportional to (q + 2)2 . When q = 1, p = 1. Find p when q = 10 . p = …… [3]
Mark scheme
21(a) 125x12 2 B1 for 125xk or kx12 21(b) 8x96 2 B1 for 8xk or kx96
Question 22
Question
In the question paper above.
Mark scheme
22 16 3 M1 for p = k (q + 2) 2 M1 for p = (their k )(10 + 2) 2 OR p 1 M2 for 2 = oe (10 + 2) (1 + 2) 2
Question 236 marks
Question
y 8 7 6 5 4 3 2 1 0 x 1 2 3 4 5 6 7 8 (a) By drawing suitable lines and shading unwanted regions, find the region, R, where x H 2 , y H x and 2x + y G 8 . [5] (b) Find the largest value of x + y in the region R. …… [1]
Mark scheme
23(a) Correct lines and correct region 5 B2 for 2x + y = 8 correctly ruled clear or B1 for ruled line with negative gradient B1 for y = x correctly ruled B1 for x = 2 correctly ruled 23(b) 6 1
Question 244 marks
Question
P NOT TO 8 cm SCALE 6.4 cm Q The diagram shows a sector of a circle of radius 8 cm. The length of the arc PQ is 6.4 cm. Find the area of the sector. …… cm 2 [4]
Mark scheme
24 25.6 or 25.59 to 25.60… 4 6.4 M3 for × π × 82 2× π×8 x 6.4 or M2 for = oe 360 2 × π × 8 x or M1 for × 2 × π × 8 = 6.4 oe 360
Question 255 marks
Question
Simplify. 2x 2 + x - 15 ax + 3a - 2bx - 6b …… [5] 3
Mark scheme
25 2x − 5 5 B2 for (2x – 5)(x + 3) final answer or B1 for (2x + p)(x + q) where pq = –15 or a − 2b p + 2q = 1 B2 for (x + 3)(a – 2b) or B1 for x(a – 2b) + 3(a – 2b) or a(x + 3) – 2b(x + 3)
Question 262 marks
Question
y 2 = 6 x and y = n x . Find the value of n. n = …… [2] Question 27 is printed on the next page.
Mark scheme
26 4 2 2 1 M1 for y 3 = x 6 or y 2 = x or y 4 = x
Question 276 marks
Question
H G NOT TO SCALE E F 6 cm D C 6 cm A 8 cm B The diagram shows a cuboid. AB = 8cm , AD = 6 cm and DH = 6 cm . Calculate angle HAF. Angle HAF = …… [6]
Mark scheme
27 64.9 or 64.89 to 64.90 6 100 + 72 − 100 B5 for [cos =] 2 × 10 × 72 OR M1 for 82 + 62 M1 for 62 + 62 (theirAF ) 2 + (theirAH ) 2 − (theirHF ) 2 M2 for 2 × (theirAF ) × (theirAH ) or M1 for (theirHF)2 = (theirAF)2 + (their AH)2 – 2 × (theirAF) × (their AH) cos(HAF) AF, AH etc from correct method
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0580/22 questions
Where can I find the 0580/22 May/June 2020 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/22, May/June 2020 (0580_s20_ms_22), and the question paper (0580_s20_qp_22), to read or download, with each question's marking points written out underneath.
How many marks is 0580/22 out of?
Mathematics 0580/22 for May/June 2020 is out of 70 marks, with 1 hour 30 minutes to answer it.
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