Question 13 marks
Question
(a) Complete this statement. The diagram has rotational symmetry of order …… [1] (b) On the diagram, draw all the lines of symmetry. [2]
Mark scheme
1(a) 2 1 1(b) 2 correct lines 2 B1 for each
Mathematics 0580/22 February/March 2021: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 22 (Extended), February/March 2021. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_m21_qp_220580_m21_ms_220580/22/F/M/21
- Paper
- Paper 22 (Extended)
- Total marks
- 70
- Time
- 1 hour 30 minutes
- Code on the paper
- 0580/22/F/M/21
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 22 marks
Question
Sahil and Anika share $78 in the ratio 5 : 8. Calculate the amount each receives. Sahil $ …… Anika $ …… [2]
Mark scheme
2 30 2 78 48 M1 for × k oe where k = 1, 5 or 8 5+8
Question 33 marks
Question
The number of passengers on a bus is recorded each day for 14 days. 15 18 22 17 35 38 24 19 19 24 25 31 36 29 (a) Complete the stem-and-leaf diagram. 1 2 3 Key: 1| 5 represents 15 passengers [2] (b) Find the median. …… [1]
Mark scheme
3(a) 2 B1 for two rows correct or for a fully correct 1 5 7 8 9 9 unordered stem-and-leaf diagram or for a correct diagram with one leaf incorrect or 2 2 4 4 5 9 omitted 3 1 5 6 8 3(b) 24 1
Question 42 marks
Question
By writing each number correct to 1 significant figure, find an estimate for the value of 2.8 # 82.6 . 27.8 - 13.9 …… [2]
Mark scheme
4 3, 80, 30 and 10 seen 2 M1 for 3 out of 4 correct elements and answer 12 or for all correct but with any trailing zeros If 0 scored SC1 for answer 12
Question 51 mark
Question
The number of bowls of hot soup sold decreases when the temperature rises. What type of correlation does this statement describe? …… [1] 5
Mark scheme
5 Negative 1
Question 62 marks
Question
Joseph spends of one week’s earnings to buy a jacket. 24 The cost of the jacket is $56.50 . Calculate the amount Joseph earns in a week. $ …… [2] 1 2
Mark scheme
6 271.2[0] 2 M1 for 56.50 ÷ 5 or 56.50 × 24 oe or better
Question 73 marks
Question
Without using a calculator, work out 2 # 3 . 4 3 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]
Mark scheme
7 9 11 M1 and oe improper fractions 4 3 99 A1 oe improper fraction 12 1 A1 dep on 1st A1 8 cao final answer 4 9 11 If M0 scored SC1 for or oe 4 3 improper fraction
Question 81 mark
Question
o o as a fraction. Write 0.37 …… [1]
Mark scheme
8 37 1 oe fraction 99
Question 91 mark
Question
Calculate 4.8 # 10 6 + 3.7 # 10 7 . Give your answer in standard form. …… [1]
Mark scheme
9 4.18 ×107 cao 1
Question 102 marks
Question
North L M NOT TO SCALE N On a map, the positions of the towns L, M and N form an equilateral triangle. The bearing of M from L is 103°. Work out the bearing of L from N. …… [2]
Mark scheme
10 343 2 B1 for 103 in correct position and 60 or 17 in correct position 103 60 17
Question 112 marks
Question
Find the highest common factor (HCF) of 36 and 84. …… [2]
Mark scheme
11 12 2 M1 for 22 × 32 and 22×3×7 or for 2 × 2 × 3 final answer or B1 for 2, 3, 4 or 6 as final answer
Question 123 marks
Question
C NOT TO 6 cm SCALE O B 5 cm A The diagram shows a shape made from a quarter-circle, OAB, and a right-angled triangle OBC. The radius of the circle is 5 cm and OC = 6 cm. Calculate the area of the shape. …… cm 2 [3]
Mark scheme
12 34.6 or 34.63 to 34.64 3 1 1 M2 for × π × 52 + × 5 × 6 oe 4 2 1 1 or M1 for × π × 52 oe or × 5 × 6 oe 4 2
Question 132 marks
Question
The population of one variety of butterfly is decreasing exponentially at a rate of 34% per year. At the end of 2014, the population was 125.9 million. Calculate the population at the end of 2019. …… million [2]
Mark scheme
13 15.8 or 15.76 to 15.77 2 34 5 M1 for 125.9 × 1 − oe 100
Question 144 marks
Question
(a) These are the first four terms of a sequence. 29 22 15 8 Write down the next two terms. …… , …… [2] (b) These are the first five terms of another sequence. 4 7 12 19 28 Find the nth term. …… [2]
Mark scheme
14(a) 1 −6 2 B1 for each If 0 scored, SC1 for two terms with a difference of –7 14(b) n2 + 3 oe 2 M1 for any quadratic or second differences = 2
Question 152 marks
Question
H G K NOT TO SCALE F x° 25° 47° E T Points E, F, G and H lie on the circle and EG = EH. HF and EG intersect at K. ET is a tangent to the circle at E. Angle FET = 47° and angle FEG = 25°. Find the value of x. x = …… [2]
Mark scheme
15 36 2 M1 for angle EHG = 72 or for angle EHF = 47 and GHF = 25
Question 165 marks
Question
y 4 3 2 1 -1 0 1 2 3 4 x -1 The region R satisfies these three inequalities. y21 y 1 2x + 2 x+y G 3 By drawing three suitable lines, and shading unwanted regions, find and label the region R. [5]
Mark scheme
16 3 correct ruled lines 5 B1 for each line and R clearly indicated y = 1 dashed y = 2 x + 2 dashed x + y = 3 solid B2 for correct region R or B1 for region satisfying 2 inequalities 0 1 1 2 0 1 0 or SC1 for shading of the wanted region only
Question 173 marks
Question
Some students were asked how many books they each had in their school bags. The table shows some of this information. Number of books 5 6 7 8 9 10 Frequency 4 5 x 11 7 5 The mean number of books is 7.6 . Calculate the value of x. x = …… [3]
Mark scheme
17 13 nfww 3 M2 for 251 + 7 x = 7.6 ( 32 + x ) or better or M1 for 5 × 4 + 6 × 5 + 7 x + 8 × 11+ 9 × 7 +10 × 5 = 7.6 32 + x oe
Question 182 marks
Question
Simplify `343x 9j . 2 3 …… [2]
Mark scheme
18 49 x6 final answer 2 B1 for 49 x k or nx6 as final answer
Question 195 marks
Question
Solve the simultaneous equations. You must show all your working. x-y = 7 x 2 + y = 149 x = …… y = …… x = …… y = …… [5]
Mark scheme
19 x2 + x – 156 [=0] M2 M1 for x2 + x = 7 + 149 or y2 + 15y – 100 [=0] or correct substitution ( x − 12)( x + 13) [=0] M1 or for correct factors for their quadratic or ( y − 5)( y + 20 ) [=0] equation or for correct use of quadratic formula or completing the square for their equation [x =] 12 [y =] 5 B2 B1 for x = 12, x = −13 or for y = 5, y = –20 [x =] −13 [y =] −20 or for a correct pair of x and y values If B0 scored and at least 2 method marks scored SC1 for correct substitution of both of their x values or their y values into x – y = 7 or x2 + y = 149
Question 205 marks
Question
(a) P A NOT TO SCALE x cm 1.61 cm R 3.2 cm Q C 2.8 cm B Triangle ABC is mathematically similar to triangle PQR. Find the value of x. x = …… [2] (b) NOT TO SCALE The diagram shows two mathematically similar bowls. The larger bowl has capacity 7.8 litres and height 11.5 cm. The smaller bowl has capacity 4 litres. Calculate the height of the smaller bowl. …… cm [3]
Mark scheme
20(a) 1.84 2 1.61 2.8 M1 for = oe x 3.2 20(b) 9.20 or 9.204 to 9.205 3 4 M2 for 11.5 × 3 oe 7.8 4 7.8 or M1 for 3 or 3 oe seen 7.8 4 11.53 7.8 or for = oe x3 4
Question 214 marks
Question
On the axes, sketch the graph of each of these functions. 1 (a) y = x y O x [2] (b) y = 4 x y O x [2]
Mark scheme
21(a) Correct sketch 2 B1 for one correct branch or attempt at correct shape 21(b) Correct sketch 2 B1 for correct shape but crossing x-axis or correct shape but just in one quadrant
Question 224 marks
Question
(a) A bag of rice has a mass of 25 kg, correct to the nearest kilogram. Calculate the lower bound of the total mass of 10 of these bags. …… kg [1] (b) Virat has 200 metres of wire, correct to the nearest metre. He cuts the wire into n pieces of length 3 metres, correct to the nearest 20 centimetres. Calculate the largest possible value of n. n = …… [3]
Mark scheme
22(a) 245 1 22(b) 69 cao nfww 3 200 + 0.5 M2 for oe 3 − 0.1 or M1 for 200 ± 0.5 oe or 3 ± 0.1 oe seen
Question 234 marks
Question
V NOT TO 14 cm SCALE D C M 10 cm A 12 cm B The diagram shows a pyramid VABCD with a rectangular base. V is vertically above M, the intersection of the diagonals AC and BD. AB = 12 cm, BC = 10 cm and VC = 14 cm. Calculate the angle that VC makes with the base ABCD. …… [4] Question 24 is printed on the next page.
Mark scheme
23 56.1 or 56.09… 4 1 10 2 + 12 2 M3 for cos[…] = 2 oe 14 1 or M2 for [MC =] 102 + 122 oe 2 or M1 for [AC 2 =] 102 + 122 oe or B1 for indicating required angle
Question 245 marks
Question
A curve has equation y = x 3 - 2x 2 + 5 . Find the coordinates of its two stationary points. (…… , ……) and (…… , ……) [5]
Mark scheme
24 (0, 5) 5 B2 for 3x2 − 4 x or B1 for 3x 2 or −4x 4 103 , oe M1 for their derivative = 0 oe or dy =0 3 27 dx 4 B1 for [x =] 0 and 3 or for 1 correct coordinate pair
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0580/22 questions
Where can I find the 0580/22 February/March 2021 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/22, February/March 2021 (0580_m21_ms_22), and the question paper (0580_m21_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 February/March 2021 is out of 70 marks, with 1 hour 30 minutes to answer it.
Can I get my 0580/22 answers marked?
Yes. Upload your answers to 0580/22/F/M/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.