Question 11 mark
Question
Write down the cube number that is greater than 50 but less than 100. …… [1]
Mark scheme
1 64 1
Mathematics 0580/23 October/November 2020: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 2 (Extended), October/November 2020. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_w20_qp_230580_w20_ms_230580/23/O/N/20
- Paper
- Paper 2 (Extended)
- Total marks
- 70
- Time
- 1 hour 30 minutes
- Code on the paper
- 0580/23/O/N/20
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 21 mark
Question
Calculate. 4 0.0025 …… [1]
Mark scheme
2 80 1
Question 32 marks
Question
In triangle ABC, BC = 7.6 cm and AC = 6.2 cm. Using a ruler and compasses only, construct triangle ABC. Leave in your construction arcs. The side AB has been drawn for you. A B [2]
Mark scheme
3 Accurate triangle with correct 2 B1 for accurate triangle with construction arcs no/incorrect arcs or SC1 for accurate triangle with arcs with sides interchanged
Question 41 mark
Question
Simplify. a2 ' a6 …… [1]
Mark scheme
4 1 1 a–4 or final answer a4
Question 51 mark
Question
Thor changes 40 000 Icelandic Krona into dollars when the exchange rate is 1 krona = $0.0099 . Work out how many dollars he receives. $ …… [1]
Mark scheme
5 396 1
Question 63 marks
Question
A NOT TO 58° SCALE 82° B C The diagram shows triangle ABC. The triangle is reflected in the line BC to give a quadrilateral ABDC. (a) Write down the mathematical name of the quadrilateral ABDC. …… [1] (b) Find angle ACD. Angle ACD = …… [2]
Mark scheme
6(a) Kite 1 6(b) 80 2 M1 for (180 – 82 – 58) or better
Question 71 mark
Question
Change 457 000 cm2 into m2. ……m2 [1]
Mark scheme
7 45.7 1
Question 82 marks
Question
The length, l cm, of a line is 18.3 cm, correct to the nearest millimetre. Complete this statement about the value of l. …… G l 1 …… [2] 1 1
Mark scheme
8 18.25, 18.35 2 B1 for each or SC1 for both values correct but reversed
Question 93 marks
Question
Without using a calculator, work out 1 # 2 . 7 10 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]
Mark scheme
9 8 21 M1 and oe improper fractions 7 10 168 A1 oe improper fractions 70 2 A1 Dep. on first A1 2 cao final answer 5 8 21 If M0 scored SC1 for or oe 7 10 improper fractions
Question 103 marks
Question
Solve the simultaneous equations. You must show all your working. 3x - 8y = 22 x + 4y = 4 x = …… y = …… [3]
Mark scheme
10 Correctly eliminates one variable M1 [x =] 6 A2 A1 for either correct [y =] –0.5 oe If M0 scored, SC1 for 2 values satisfying one of the original equations
Question 114 marks
Question
A bag contains 7 red discs, 5 green discs and 2 pink discs. (a) Helen takes one disc at random, records the colour and replaces it in the bag. She does this 140 times. Find how many times she expects to take a green disc. …… [2] (b) Helen adds 9 green discs and some pink discs to the discs already in the bag. 2 The probability of taking a green disc is now . 7 Find the number of pink discs that Helen added to the bag. …… [2]
Mark scheme
11(a) 50 2 5 M1 for [× 140] 7+5+ 2 140 or [× 5] 7+5+ 2 11(b) 26 2 5+9 2 M1 for = oe n 7 5+9 2 or = oe p+7+5+ 2+9 7
Question 124 marks
Question
A straight line, l, has equation y = 5x + 12 . (a) Write down the gradient of line l. …… [1] (b) Find the coordinates of the point where line l crosses the x-axis. ( …… , ……) [2] (c) A line perpendicular to line l has gradient k. Find the value of k. k = …… [1]
Mark scheme
12(a) 5 1 12(b) 12 2 M1 for 5x + 12 = 0 (− oe, 0) 5 12(c) 1 1 1 − oe FT − 5 their ( a )
Question 131 mark
Question
A B Use set notation to describe the shaded region. …… [1]
Mark scheme
13 A ' B 1
Question 142 marks
Question
N = 24 # 3 # 75 PN = K , where P is an integer and K is a square number. Find the smallest value of P. P = …… [2]
Mark scheme
14 21 2 B1 for 3 × 7 soi or 24 × 32 × 76 oe or answer of 21 × k2
Question 153 marks
Question
m = 2p + x y Make x the subject of this formula. x = …… [3]
Mark scheme
15 [x =] y(m – 2p)2 nfww 3 M1 for subtract 2p or their term in p to isolate a term in x or [x =] y(m2 – 4mp + 4p2) final answer M1 for squaring M1 for multiplying by their term in y Maximum of 2 marks for an incorrect answer
Question 163 marks
Question
A paperweight has height 4 cm and volume 38.4 cm3. A mathematically similar paperweight has height 7 cm. Calculate the volume of this paperweight. …… cm3 [3]
Mark scheme
16 205.8 3 7 3 M2 for 38.4 × oe 4 3 3 7 4 or M1 for or oe or 4 7 7 3 v = oe 4 38.4
Question 173 marks
Question
Adil and Brian are paid the same wage. Adil is given a 7% pay decrease and his new wage is $427.80 . Brian is given a 7% pay increase. Work out Brian’s new wage. $ …… [3]
Mark scheme
17 492.2[0] 3 B2 for 32.2[0] OR 7 M1 for x × 1 − = 427.8[0] oe or 100 better 7 M1 for their 460 × 1 + oe 100 7 or their 460 × correctly evaluated 100
Question 183 marks
Question
(a) Simplify. `4xy 2j 3 …… [2] (b) 25 = 125 k Find the value of k. k = …… [1]
Mark scheme
18(a) 64x3y6 final answer 2 B1 for kx3y6 or 64xky6 or 64x3yk final answer or correct answer then spoilt 18(b) 2 1 3
Question 195 marks
Question
v + 10 NOT TO SCALE Speed v (m/s) 0 0 24 40 Time (seconds) The diagram shows the speed–time graph for the final 40 seconds of a car journey. At the start of the 40 seconds the speed is v m/s. (a) Find the acceleration of the car during the first 24 seconds. …… m/s2 [1] (b) The total distance travelled during the 40 seconds is 1.24 kilometres. Find the value of v. v = …… [4]
Mark scheme
19(a) 5 1 or 0.417 or 0.4166 to 0.4167 12 19(b) 32.5 4 M3 for 1 1 ( v + v + 10 ) × 24 + × 16 ( v + 10 ) = 1240 2 2 oe OR 1 M2 for ( v + v + 10 ) × 24 oe and 2 1 × 16 ( v + 10 ) oe 2 or M1 for one area expression M1 for correctly solving their (av + b = 1240) oe (a ≠ 0, b ≠ 0)
Question 202 marks
Question
Factorise. 3x + 8y - 6ax - 16ay …… [2]
Mark scheme
20 (3x + 8y)(1 – 2a) 2 M1 for 3x(1 – 2a) + 8y(1 – 2a) or 3x + 8y – 2a(3x + 8y) or better
Question 216 marks
Question
B NOT TO SCALE 8 cm 30° O P A OAB is the sector of a circle, centre O. OB = 8 cm and angle AOB = 30°. BP is perpendicular to OA. (a) Calculate AP. AP = …… cm [3] (b) Work out the area of the shaded region APB. …… cm2 [3]
Mark scheme
21(a) 1.07 or 1.071 to 1.072 3 M2 for [8 −] 8 cos 30 oe OP or M1 for = cos30 oe 8 21(b) 2.9[0] or 2.895 to 2.901 3 30 M1 for × π × 82 oe 360 1 M1 for × 8 × their 6.93 × sin 30 oe 2 1 or × 8cos30 × 4 oe 2
Question 229 marks
Question
The table shows information about the times, t seconds, taken by each of 100 students to solve a puzzle. Time (t seconds) 0 1 t G 10 10 1 t G 15 15 1 t G 20 20 1 t G 40 40 1 t G 75 Frequency 9 18 22 30 21 (a) Calculate an estimate of the mean time. …… s [4] (b) Emmanuel draws a histogram to show this information. The table shows the heights, in cm, of some of the bars for this histogram. Complete the table. Time (t seconds) 0 1 t G 10 10 1 t G 15 15 1 t G 20 20 1 t G 40 40 1 t G 75 Height of bar (cm) 3.6 14.4 17.6 [3] 23 y is inversely proportional to the square root of x. When y = 7 , x = 2.25 . Write y in terms of x. y = …… [2]
Mark scheme
22(a) 27.625 4 M1 for 5, 12.5, 17.5, 30, 57.5 M1 for Σfx where x is in correct interval including boundaries Σfx M1 dep on second M1 for 100 22(b) 6 and 2.4 3 B2 for either correct or M1 for [fd =] 1.5 or 0.6 oe or B1 for [multiplier] 4
Question 23
Question
In the question paper above.
Mark scheme
23 10.5 2 k y= oe final answer M1 for y = x x
Question 244 marks
Question
Simplify. x 2 - 25 x 2 - 17x + 60 …… [4] Question 25 is printed on the next page.
Mark scheme
24 x+5 4 B1 for (x + 5) (x – 5) nfww final answer B2 for (x – 12) (x – 5) x − 12 or B1 for x(x – 5) – 12 (x – 5) or x(x – 12) – 5(x – 12) or for (x + a)(x + b) where ab = –60 or a + b = –17
Question 253 marks
Question
Solve 3 tan x =- 4 for 0° G x G 360° . x = …… or x = …… [3]
Mark scheme
25 126.9 or 126.86 to 126.87 and 306.9 or 3 B2 for one correct 306.86 to 306.87 4 or M1 for tan x = − 3 if 0 scored then SC1 for two answers with a difference of 180°
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, October/November 2020
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 October/November 2020 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/23, October/November 2020 (0580_w20_ms_23), and the question paper (0580_w20_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 October/November 2020 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/O/N/20 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.