Question 11 mark
Question
Measure the marked angle. …… [1]
Mark scheme
1 40° 1
Mathematics 0580/22 February/March 2022: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 2 (Extended), February/March 2022. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_m22_qp_220580_m22_ms_220580/22/F/M/22
- Paper
- Paper 2 (Extended)
- Total marks
- 70
- Time
- 1 hour 30 minutes
- Code on the paper
- 0580/22/F/M/22
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
Work out 5 # 6 2 . Give your answer correct to 2 decimal places. …… [2]
Mark scheme
2 80.50 cao 2 B1 for 80.498… or 80.5 or correctly rounding their more accurate decimal to 2 dp
Question 31 mark
Question
A journey starts at 21 15 one day and ends at 04 33 the next day. Calculate the time taken, in hours and minutes. …… h …… min [1]
Mark scheme
3 7 [h] 18 [min] 1
Question 43 marks
Question
NOT TO SCALE 5 cm 4 cm 7 cm Calculate the total surface area of this cuboid. …… cm 2 [3]
Mark scheme
4 166 3 M2 for [2 ×] (7×4 + 4×5 + 5×7) or M1 for 7×4 or 4×5 or 5×7
Question 52 marks
Question
(a) Write down the gradient of the line y = 5x + 7 . …… [1] (b) Find the coordinates of the point where the line y = 5x + 7 crosses the y-axis. ( …… , …… ) [1]
Mark scheme
5(a) 5 1 5(b) (0, 7) 1
Question 62 marks
Question
9.5 cm 8 cm NOT TO SCALE 12 cm Using a ruler and compasses only, construct this triangle. Leave in your construction arcs. The side of length 12 cm has been drawn for you. [2]
Mark scheme
6 correct triangle with arcs 2 B1 for correct triangle with incorrect or no arcs or for two correct arcs. or a triangle with arcs but one side not in range
Question 71 mark
Question
n –2 –1 0 1 Write down the inequality, in terms of n, shown by the number line. …… [1]
Mark scheme
7 n > − 1 oe 1
Question 86 marks
Question
y 6 5 4 3 A 2 1 B –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 x –1 –2 –3 –4 –5 (a) On the grid, draw the image of (i) triangle A after a reflection in the y-axis, [1] -3 (ii) triangle A after a translation by the vector e o. [2] -4 (b) Describe fully the single transformation that maps triangle A onto triangle B. …… [3]
Mark scheme
8(a)(i) triangle at (− 1, 1) (− 4, 2) (− 3, 5) 1 8(a)(ii) triangle at (− 2, −3) (1, − 2) (0, 1) 2 −3 k B1 for translation by or by k −4 8(b) enlargement 3 B1 for each 1 [sf] 2 [centre] (9, − 1)
Question 92 marks
Question
Factorise completely. 12a 3 - 21a …… [2]
Mark scheme
9 ( ) 3a 4a 2 − 7 final answer ( ) ( 2 B1 for 3 4a 3 − 7 a or a 12a 2 − 21 ) or for 3a ( 4a − 7 ) seen then spoilt 2
Question 104 marks
Question
(a) The nth term of a sequence is n 2 + 7 . Find the first three terms of this sequence. …… , …… , …… [2] (b) These are the first four terms of a different sequence. 15 7 −1 -9 Find the nth term of this sequence. …… [2]
Mark scheme
10(a) 8 11 16 2 B1 for two correct 10(b) 23 – 8n oe final answer 2 B1 for j – 8n or 23 – kn k ≠ 0 or 23 – 8n seen then spoilt
Question 111 mark
Question
As the temperature increases, people eat more ice cream. What type of correlation does this statement describe? …… [1]
Mark scheme
11 Positive 1
Question 126 marks
Question
(a) Sanjay invests $700 in an account paying simple interest at a rate of 2.5% per year. Calculate the value of his investment at the end of 6 years. $ …… [3] (b) Meera invests $700 in an account paying compound interest at a rate of r % per year. At the end of 17 years the value of her investment is $1030.35 . Find the value of r. r = …… [3]
Mark scheme
12(a) 805 3 B2 for 105 700 × 2.5 × 6 or M2 for + 700 oe 100 700 × 2.5 [×6] or M1 for oe 100 12(b) 2.3[0…] 3 1030.35 M2 for 17 oe 700 or M1 for 1030.35 = 700 ( k ) 17 oe for any k
Question 133 marks
Question
(a) Simplify h 2 # h 5 . …… [1] (b) Simplify b l . -3 7 x …… [1] (c) a8 ' a p = a2 Find the value of p. p = …… [1]
Mark scheme
13(a) h 7 final answer 1 13(b) x3 1 final answer 343 13(c) 6 1
Question 142 marks
Question
Calculate the circumference of a circle with radius 4.7 cm. …… cm [2] 1 11
Mark scheme
14 29.5 or 29.53… 2 M1 for 2 × π × 4.7 oe
Question 153 marks
Question
Without using a calculator, work out 2 # . 3 14 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]
Mark scheme
15 7 M1 k 11 oe improper fraction or × where k > 3 3 3 14 5 A2 77 11 35 1 cao A1 for or or 1 6 42 6 42
Question 164 marks
Question
y 6 A 5 4 3 2 1 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 x –1 –2 –3 B –4 –5 –6 –7 –8 A is the point (- 6, 5) and B is the point (- 2, - 3). (a) Find the equation of the straight line, l, that passes through point A and point B. Give your answer in the form y = mx + c . y = …… [2] (b) Find the equation of the line that is perpendicular to l and passes through the origin. …… [2]
Mark scheme
16(a) [ y =] − 2 x − 7 final answer 2 B1 for − 2x + c or kx – 7, k ≠ 0 final answer 16(b) 1 2 1 y= x [ ±0] final answer FT − 2 their gradient in(a) B1 for y = kx [ ±0] oe, k ≠ 0 1 or y = their x + c oe for any c 2 1 or their x [ ±0] oe 2
Question 175 marks
Question
O R X NOT TO 4 cm SCALE P 11 cm Q The diagram shows a rectangle OPQR with length 11 cm and width 4 cm. OQ is a diagonal and OPX is a sector of a circle, centre O. Calculate the percentage of the rectangle that is shaded. …… % [5]
Mark scheme
17 77.8 or 77.77 to 77.80 5 B4 for answer 22.2[%] or 22.20[%] to 22.23[%] OR 11 4 M1 for tan −1 oe or tan −1 oe 4 11 their acute angle M2 for 4 × 11 − × π × 42 oe 360 their acute angle or M1 for π × 42 oe 360 their shaded area M1 for [×100] oe 4 ×11 their sector area or ×100 oe 4 ×11
Question 186 marks
Question
Mrs Kohli buys a jacket, 2 shirts and a hat. The jacket costs $x. The shirts each cost $24 less than the jacket and the hat costs $16 less than the jacket. Mrs Kohli spends exactly $100. Write down an equation in terms of x. Solve this equation to find the cost of the jacket. $ …… [3] 19 y is inversely proportional to the square root of (x +4). When x = 5, y = 2. Find y when x = 77. y = …… [3]
Mark scheme
18 A correct equation leading to 3 M2 for 4 x = 164 41 or M1 for x + 2 ( x − 24 ) + x − 16 = 100 oe or M1 for correctly simplifying their equation to the form kx = c provided at least one part correct from [ 2] ( x − 24 ) oe or x − 16 or B1 for answer 41 without an equation in x shown
Question 19
Question
In the question paper above.
Mark scheme
19 2 3 k oe M1 for y = 3 x+4 theirk M1 for y = 77 + 4
Question 205 marks
Question
Solve the simultaneous equations. You must show all your working. 3x + y = 11 x 2 - 2y = 18 x = …… y = …… x = …… y = …… [5]
Mark scheme
20 x 2 + 6 x − 40 [=0] M2 M1 for correct method to eliminate one variable e.g. or y 2 − 40 y − 41 [=0] x 2 − 2 (11 − 3 x ) = 18 (11 − y )2 or − 2 y = 18 32 ( x − 4 )( x + 10 ) [=0] M1 or for correct factors for their quadratic equation or ( y − 41)( y + 1) [=0] or for correct use of quadratic formula for their quadratic equation or for correctly completing the square for their quadratic equation x = 4, y = − 1 B2 B1 for x = 4, x = − 10 x = −10, y = 41 or for y = − 1, y = 41 or for a correct pair of x and y values If B0 scored and at least 1 method mark scored SC1 for correct substitution shown of both of their x values or their y values into 3x + y = 11 or x2 – 2y = 18
Question 217 marks
Question
M H G E F NOT TO 14.5 cm SCALE D C 9 cm A 18.6 cm B The diagram shows an open rectangular box ABCDEFGH. AB = 18.6 cm, BC = 9 cm and CG = 14.5 cm. A straight stick AGM rests against A and G and extends outside the box to M. (a) Calculate the angle between the stick and the base of the box. …… [4] (b) AM = 30 cm. Show that GM = 4.8 cm, correct to 1 decimal place. [3]
Mark scheme
21(a) 35.1 or 35.05 to 35.06 4 14.5 M3 for tan = oe 18.62 + 92 or M2 for AC 2 = 18.62 + 92 oe or better or AG 2 = 18.62 + 92 + 14.52 or M1 for recognising the angle GAC 21(b) 30 − 18.62 + 92 + 14.52 M2 M1 for AG 2 = 18.62 + 92 + 14.52 oe or better 14.5 14.5 30 – or sin ( their (a) ) = sin ( their(a) ) AG or 18.62 + 92 or cos ( their (a) ) = 18.62 + 92 AG 30 – cos ( their (a) ) 4.75 to 4.78… A1
Question 224 marks
Question
R Q NOT TO a SCALE O b P The diagram shows a trapezium OPQR. O is the origin, OR = a and OP = b . 3 RQ = OP 5 (a) Find PQ in terms of a and b in its simplest form. PQ = …… [2] (b) When PQ and OR are extended, they intersect at W. Find the position vector of W. …… [2]
Mark scheme
22(a) 2 2 3 a − b oe simplified M1 for −b + a + b or a correct route 5 5 22(b) 5 2 5 ρ a oe B1 for ka where k >1 or OR 2 2
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0580/22 questions
Where can I find the 0580/22 February/March 2022 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/22, February/March 2022 (0580_m22_ms_22), and the question paper (0580_m22_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 2022 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/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.