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Cambridge IGCSE Mathematics (0580), Paper 1 (Core), 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_110580_s21_ms_110580/11/M/J/21
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
Zachary asks the 30 students in his class which is their favourite sport. The table shows the results. Netball Football Hockey Tennis 7 12 6 5 Complete the pictogram. Netball Football Hockey Tennis Key: represents 4 people [2]
Mark scheme
1 Pictogram completed correctly 2 B1 for 2 rows completed correctly
Question
(a) Find the value of 225. …… [1] 2 (b) Write down the reciprocal of . 3 …… [1] (c) Work out three‑quarters of one‑third. …… [1] (d) Work out - 7 - (6 - 8) . …… [1]
Mark scheme
2(a) 15 1 2(b) 1 1 1 oe 2 2(c) 1 1 oe 4 2(d) –5 1
Question
(a) Write down the order of rotational symmetry of this diagram. …… [1] (b) On the diagram, draw all the lines of symmetry. [2]
Mark scheme
3(a) 4 1 3(b) 2 B1 for 2 or 3 correct lines drawn or for 4 correct lines and one wrong extra line
Question
The stem‑and‑leaf diagram shows the number of hours that each of 16 students studied last week. 1 2 5 6 8 2 0 1 1 7 9 3 2 3 4 5 4 4 5 7 Key: 1q2 represents 12 hours Find (a) the median, …… h [1] (b) the mode, …… h [1] (c) the range. …… h [1]
Mark scheme
4(a) 28 1 4(b) 21 1 4(c) 35 1
Question
The volume of a cuboid is 24 cm 3 . The base of the cuboid is 3 cm by 2 cm. Draw a net of the cuboid on the 1 cm 2 grid. [4]
Mark scheme
5 Correct net of 6 faces drawn 4 B1 for height of 4 cm soi 24 or M1 for 3× 2 B1 for a 3 cm by 2 cm face soi B1 for 3 more faces drawn in correct positions or for a complete net drawn with wrong height
Question
8 7 6 5 Distance (km) 4 3 2 1 0 12 00 13 00 14 00 15 00 16 00 Time The travel graph shows a student’s journey. (a) Explain what is happening between 14 20 and 14 40. …… [1] (b) Complete the statement. The student is travelling fastest between the times …… and …… because …… [2]
Mark scheme
6(a) Student is stationary oe 1 6(b) 13 00 13 20 2 B1 for both times correct or correct gradient is steepest reason
Question
The probability that a train is late is 0.15 . Write down the probability that the train is not late. …… [1]
Mark scheme
7 0.85 oe 1
Question
Nazaneen changes $6500 into 5798 euros at a bank. Work out the exchange rate the bank uses. $1 = …… euros [1]
Mark scheme
8 0.892 1
Question
Work out. 6 8 (a) e o + e o -5 -1 f p [1] -4 (b) 3 e o 7 f p [1]
Mark scheme
9(a) 14 1 −6 9(b) −12 1 21
Question
NOT TO 59° 37° SCALE a° c° b° The diagram shows two parallel lines intersected by two straight lines. Find the values of a, b and c. a = …… b = …… c = …… [3]
Mark scheme
10 [a =] 59 3 B1 for each [b =] 37 If 0 scored, SC1 for [c =] 84 their (a + b + c) = 180 if a, b, c > 0
Question
(a) Write down the mathematical name for a polygon with 5 sides. …… [1] (b) Work out the interior angle of a regular 18‑sided polygon. …… [2]
Mark scheme
11(a) Pentagon 1 11(b) 160 2 360 (18 − 2 ) × 180 M1 for 180 − or oe 18 18
Question
The nth term of a sequence is 6n - 4 . (a) Write down the first 3 terms in this sequence. ……, ……, …… [1] (b) The kth term of this sequence is 422. Work out the value of k. k = …… [2]
Mark scheme
12(a) 2 8 14 1 12(b) 71 2 M1 for 6k – 4 = 422 or better
Question
The radius of a circle is 42 cm. Work out the circumference of the circle. Give your answer in terms of r. …… cm [2]
Mark scheme
13 84π final answer 2 M1 for 42 × 2 × π soi
Question
Change 680 000 cm 3 into m 3 . …… m 3 [1]
Mark scheme
14 [0].68 1
Question
The length, l metres, of a piece of rope is 5.67 m, correct to the nearest centimetre. Complete this statement about the value of l. …… G l 1 …… [2] 3 5
Mark scheme
15 5.665 5.675 2 B1 for each in correct order If 0 scored, SC1 for correct answers reversed or for 566.5 and 567.5 in correct places
Question
Without using a calculator, work out 1 - . 8 6 You must show all your working and give your answer as a fraction in its simplest form. …… [3] 1
Mark scheme
16 11 5 3 1 B1 Correct step for dealing with mixed − + 8 6 8 6 number 11k Allow 8k 33 20 9 4 M1 Correct method to find common and and denominator 24 24 24 24 9 20 e.g. 1 and 24 24 13 A1 cao 24
Question
(a) Write as a power of 2. 2#2#2#2#2 …… [1] (b) (i) 3 18 ' 3 t = 3 6 Find the value of t. t = …… [1] (ii) Simplify. 8w 10 # 6w 5 …… [2]
Mark scheme
17(a) 2–5 1 17(b)(i) 12 1 17(b)(ii) 48w15 final answer 2 B1 for answer 48wk or kw15 (k ≠ 0)
Question
Annie invests $8300 at a rate of 5.6% per year compound interest. Calculate the value of her investment at the end of 6 years. $ …… [2]
Mark scheme
18 11 500, 11 510, 11 509, 11 509.6[…] 2 5.6 6 M1 for 8300 × 1 + 100
Question
Write down an irrational number, n, where 31 1 n 1 32 . n = …… [1]
Mark scheme
19 An irrational number satisfying inequality 1
Question
By rounding each number in the calculation correct to 1 significant figure, estimate the value of 38.7 # 3.115 . 20.3 - 4.1 2 You must show all your working. …… [2]
Mark scheme
20 40 × 3 M1 Allow M1 for 3 out of 4 values correctly 20 − 42 rounded or for all correct but with any trailing zeros 30 cao A1 Dep on M1 with no errors or trailing zeros
Question
Solve the simultaneous equations. You must show all your working. 2x + y = 3 x - 5y = 40 x = …… y = …… [3]
Mark scheme
21 Correctly eliminating one variable M1 [x =] 5 A1 [y =] – 7 A1 If M0 scored, SC1 for two values satisfying one of the original equations
Question
There is a straight road between town A and town B of length 130 km. Maxi travels from town A to town B. Pippa travels from town B to town A. Both travel at a constant speed of 40 km/h. Maxi leaves 30 minutes before Pippa. Work out how far from town A they will be when they pass each other. …… km [4]
Mark scheme
22 75 4 B3 for 55 or B2 for 110 or B1 for 20 seen OR 30 M1 for × 40 or better seen 60 M1dep for 130 − their 20 their110 M1dep for 2 OR M1 for 130 ÷ 40 or better seen M1 for their 3.25 – 0.50 2.75 M1 for their × 40 2
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Mark my 0580/11Examiners 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.
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Mathematics 0580/11 for May/June 2021 is out of 56 marks, with 1 hour to answer it.
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