Question 11 mark
Question
Write down the number that is 23 less than - 1.6 . …… [1]
Mark scheme
1 –24.6 1
Mathematics 0580/23 May/June 2021: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 2 (Extended), May/June 2021. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_s21_qp_230580_s21_ms_230580/23/M/J/21
- Paper
- Paper 2 (Extended)
- Total marks
- 70
- Time
- 1 hour 30 minutes
- Code on the paper
- 0580/23/M/J/21
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
Write as a fraction in its simplest form. (a) 72% …… [1] (b) 0.004 …… [1]
Mark scheme
2(a) 18 1 cao 25 2(b) 1 1 cao 250
Question 31 mark
Question
x NOT TO SCALE 40° The diagram shows a pair of parallel lines and a straight line. Complete the statement with the correct geometrical reason. x = 40° because the angles are …… [1]
Mark scheme
3 Corresponding 1
Question 42 marks
Question
NOT TO SCALE 100° y° y° Find the value of y. y = …… [2]
Mark scheme
4 130 2 M1 for 360 – 100 or better
Question 52 marks
Question
Jo invests $600 for 7 years at a rate of 1.5% per year simple interest. Calculate the total interest earned during the 7 years. $ …… [2]
Mark scheme
5 63 2 1.5 M1 for 600 × oe or better 100 If 0 scored SC1 for answer 663
Question 62 marks
Question
Maria buys n pencils that cost p cents each. She pays with a $y note. Find, in terms of n, p and y, the amount of change Maria receives. Give your answer in cents. …… cents [2]
Mark scheme
6 100y – np 2 B1 for 100y seen or for answer [10k] y – np
Question 72 marks
Question
12 18 29 49 91 125 From the list of numbers, write down (a) a cube number, …… [1] (b) a prime number. …… [1]
Mark scheme
7(a) 125 1 7(b) 29 1
Question 82 marks
Question
Alex changes 190 euros (€) into pounds (£) when £1 = €1.1723 . Calculate the amount Alex receives. Give your answer correct to 2 decimal places. £ …… [2] 2 1
Mark scheme
8 162.07 cao 2 M1 for 190 ÷ 1.1723
Question 93 marks
Question
Without using a calculator, work out 1 ' 7 . 3 2 You must show all your working and give your answer as a fraction in its simplest form. …… [3]
Mark scheme
9 5 2 M2 5 15 × oe or B1 for oe or oe 3 15 3 2 5 2 or M1 for their × their 10 45 3 15 ÷ oe with common denominator 6 6 2 A1 cao 9
Question 104 marks
Question
y 8 6 4 T 2 –8 –6 –4 –2 0 2 4 6 8 x –2 –4 A –6 –8 (a) Describe fully the single transformation that maps triangle T onto triangle A. …… [2] 1 (b) Draw the image of triangle T after an enlargement, scale factor - , centre (0, 0). [2] 2
Mark scheme
10(a) Translation 2 B1 for each −1 −8 10(b) Image at (–1, –1), (–4, –1), (–1, –2) 2 B1 for image correct scale factor and orientation but wrong position 1 or for enlargement scale factor centre 2 (0, 0)
Question 114 marks
Question
Simplify 3x 3 # 4x 4 . …… [2] 12 x is an integer and - 3 G 2x - 1 1 3. Find the values of x. …… [2]
Mark scheme
11 12x 7 final answer 2 B1 for 12xj or kx7 (j,k ≠ 0) as final answer
Question 12
Question
In the question paper above.
Mark scheme
12 –1, 0, 1 final answer 2 B1 for –1 ⩽ x < 2 or two correct answers and no extras or three correct answers and one extra/wrong
Question 132 marks
Question
Expand and simplify. 6 (t - q) - 2 (t - 3q) …… [2] 20
Mark scheme
13 4t final answer 2 B1 for 6t – 6q or – 2t + 6q or 2t – 6q or for 4t or 0q in the final answer
Question 143 marks
Question
The magnitude of the vector e o is 29. k Find the value of k. k = …… [3]
Mark scheme
14 [±] 21 3 M2 for 292 – 202 oe or better or M1 for 202 + k2 = 292 oe
Question 156 marks
Question
6 cm A B NOT TO X SCALE 8 cm 7 cm C D 12 cm In the diagram, AB is parallel to CD. AD and BC intersect at X. AB = 6 cm , CD = 12 cm , CX = 8 cm and DX = 7 cm . (a) Complete the statement. Triangle ABX is …… to triangle DCX. [1] (b) Work out the length of BX. BX = …… cm [2] (c) The area of triangle DCX is 26.906 cm 2 . Use this value to find the area of (i) triangle ABX, …… cm 2 [2] (ii) triangle ACX. …… cm 2 [1]
Mark scheme
15(a) Similar 1 15(b) 4 2 12 8 M1 for = oe or better 6 BX If 0 scored SC1 for answer 3.5 15(c)(i) 6.7265 or 6.73 or 6.726 to 6.727 2 1 2 2 M1 for scale factor 2 or oe soi 2 15(c)(ii) 13.453 or 13.5 or 13.45 to 13.46 1 FT their (c)(i) × 2
Question 162 marks
Question
The sides of a regular hexagon are 80 mm, correct to the nearest millimetre. Calculate the lower bound of the perimeter of the hexagon. …… mm [2]
Mark scheme
16 477 2 M1 for 80 – 0.5 oe or better seen
Question 172 marks
Question
The interior angle of a regular polygon is 175°. Calculate the number of sides. …… [2]
Mark scheme
17 72 2 360 180(n − 2) M1 for oe or = 175 180 − 175 n oe
Question 183 marks
Question
A car starts from rest and accelerates at a rate of 3 m/s 2 for 4 seconds. The car then travels at a constant speed for 10 seconds. V Speed NOT TO (m/s) SCALE 0 0 4 14 Time (seconds) The diagram shows the speed–time graph for this journey. (a) Find the value of V. V = …… [1] (b) Calculate the total distance travelled by the car during the 14 seconds. …… m [2]
Mark scheme
18(a) 12 1 18(b) 144 2 FT 12 × their V M1 for any relevant area FT their V
Question 195 marks
Question
(a) A 50° T P B NOT TO SCALE Q P, Q and T are points on a circle. ATB is a tangent to the circle at T and PT = PQ. Find angle TPQ. Angle TPQ = …… [2] (b) 68° 3x° NOT TO SCALE 2x° w° The diagram shows a cyclic quadrilateral with an exterior angle of 68°. Find the value of w and the value of x. w = …… x = …… [3]
Mark scheme
19(a) 80 2 B1 for angle PQT = 50 19(b) [w =] 68 3 B1 for 68 [x =] 36 B2 for 36 or M1 for 3x + 2x + 68 + 112 = 360 or better
Question 202 marks
Question
Simplify 2.1 # 10 p + 2.1 # 10 p - 1 . Give your answer in standard form. …… [2]
Mark scheme
20 2.31 ×10 p 2 B1 for 21 × 10 p −1 or 0.21 × 10 p or answer with figs 231
Question 215 marks
Question
A NOT TO SCALE B 65° C The shortest distance from B to AC is 12.8 cm. Calculate BC. BC = …… cm [3] 22 z is inversely proportional to the square of ( y - 2) . When y = 5, z = 9 . Find z in terms of y. z = …… [2]
Mark scheme
21 14.1 or 14.12... 3 12.8 M2 for sin 65 = oe or better BC or M1 for recognition that the line from B is perpendicular to AC
Question 22
Question
In the question paper above.
Mark scheme
22 81 2 k final answer M1 for z = oe or better ( y − 2) 2 ( y − 2 )2
Question 234 marks
Question
A triangle has sides of length 11 cm, 10 cm and 9 cm. Calculate the largest angle in the triangle. …… [4]
Mark scheme
23 70.5 or 70.52 to 70.53 4 B3 for 59(.0) or 58.99… or 50.5 or 50.47 to 50.48 OR 102 + 92 − 112 M2 for oe or equivalent 2 × 10 × 9 expression for smaller angle or M1 for 112 = 102 + 92 − 2 × 10 × 9cos(...) oe or equivalent expression for smaller angle 1 A1 for oe 3
Question 244 marks
Question
On the axes, sketch the graph of each of these functions. 2 (a) y = x y O x [2] (b) y = 2 -x y O x [2] Questions 25 and 26 are printed on the next page.
Mark scheme
24(a) Correct sketch 2 B1 for one correct branch or attempt at 4 correct shape 2 0 -10 -5 0 5 10 -2 -4 24(b) Correct sketch 2 B1 for correct shape but crossing x-axis or for correct shape but just drawn in one quadrant
Question 254 marks
Question
Find the x-coordinates of the points on the graph of y = x 5 - 5x 4 where the gradient is 0. …… [4]
Mark scheme
25 0 and 4 final answer 4 B3 for 5x3(x – 4) or better or B2 for 5 x 4 − 20 x 3 or B1 for 5x 4 or −20 x 3
Question 263 marks
Question
Malik goes to a shop every day to buy bread. On any day, the probability that Malik goes to the shop in the morning is 0.7 . If he goes in the morning, the probability that there is bread for Malik to buy is 0.95 . If he goes later, the probability that there is bread for Malik to buy is 0.6 . Calculate the probability that, on any day, there is bread for Malik to buy. …… [3]
Mark scheme
26 0.845 oe 3 M2 for 0.7 × 0.95 + (1 – 0.7) × 0.6 oe or M1 for one of these products
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, May/June 2021
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 May/June 2021 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/23, May/June 2021 (0580_s21_ms_23), and the question paper (0580_s21_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 May/June 2021 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/M/J/21 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.