Cambridge IGCSE Mathematics 0580 — 2023 Oct/Nov Paper 1 · Variant 2
0580/12/O/N/23 · 24 questions · 56 marks · ≈63 min
The question paper and its mark scheme, free to read here and free to download. This is Cambridge’s own paper, exactly as it was sat.
Question paper12 pages
Mark scheme6 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Write as a decimal
81 Write as a decimal. 10 ................................................. [1]
Mark scheme: Question Answer Marks Partial Marks 1 0.8 1
Q2 · Asha works in a café
2 Asha works in a café. Her wage is calculated using the formula wage = hourly rate # number of hours + bonus. Her hourly rate is $11.52 . One week Asha works 25 hours and receives a bonus of $5.40 . Work out her wage for this week. $ ................................................. [2]
Mark scheme: 2 293.40 2 M1 for 11.52 25 + 5.4
Q3 · These are the first four terms in a sequence
3 These are the first four terms in a sequence. - 3 4 11 18 (a) Find the next term. ................................................. [1] (b) Explain how you worked out your answer. ................................................. [1]
Mark scheme: 3(a) 25 1 3(b) Added 7 oe 1
Q4 · Work out of 180
24 Work out of 180. 5 ................................................. [1]
Mark scheme: 4 72 1
Q5 · Write these numbers in order, starting with the smallest
5 Write these numbers in order, starting with the smallest. 3 9 18.7% 0.19 16 50 ................ 1 ................ 1 ................ 1 ................ [2] smallest
Mark scheme: 5 9 3 2 B1 for 3 in the correct order 18.7[%] 0.19 or M1 for 0 .1875, 0.187 and 0 .18 50 16 or 18.75%, 18.7% and 18%
Q6 · Write down the number that is 9 greater than - 23
6 Write down the number that is 9 greater than - 23 . ................................................. [1]
Mark scheme: 6 –14 1
Q7 · For 16 days, Safia records the number of dresses she sells
7 For 16 days, Safia records the number of dresses she sells. 24 6 18 14 27 37 9 16 22 17 16 16 24 20 15 32 (a) Complete the stem-and-leaf diagram. 0 1 2 3 Key: 2 4 represents 24 dresses [2] (b) Write down the mode. ................................................. [1] (c) Find the median. ................................................. [1]
Mark scheme: 7(a) 2 B1 for two or three rows correct or for a fully 0 6 9 correct unordered stem-and-leaf diagram or for a correct diagram with one error or 1 4 5 6 6 6 7 8 omission 2 0 2 4 4 7 3 2 7 7(b) 16 1 7(c) 17.5 1
Q8 · Write 24.07839 (a) correct to 2 decimal places…
8 Write 24.07839 (a) correct to 2 decimal places ................................................. [1] (b) correct to the nearest 10. ................................................. [1]
Mark scheme: 8(a) 24.08 cao 1 8(b) 20 cao 1
Q9 · V = u + at Find the value of v when u = 30 , a =- 2 and t = 7
9 v = u + at Find the value of v when u = 30 , a =- 2 and t = 7 . v = ................................................. [2]
Mark scheme: 9 16 2 M1 for 30 – 2 7 or B1 for –14
Q10 · Change 62 000 millimetres into kilometres
10 Change 62 000 millimetres into kilometres. ............................................ km [1]
Mark scheme: 10 0.062 1
Q11 · 50° x° NOT TO SCALE 114° The diagram shows two straight lines crossing two parallel lines
11 50° x° NOT TO SCALE 114° The diagram shows two straight lines crossing two parallel lines. Find the value of x. x = ................................................. [2]
Mark scheme: 11 64 2 B1 for any of these angles labelled on the diagram. M1 for 114 – 50 or better
Q12 · Explain why 111 is not a prime number
12 (a) Explain why 111 is not a prime number. ..................................................................................................................................................... [1] (b) Find a prime number between 110 and 120. ................................................. [1]
Mark scheme: 12(a) Multiple of 3 or multiple of 37 1 12(b) 113 1
Q13 · North NOT TO North SCALE P 39° Q East Find the bearing of Q from P
13 North NOT TO North SCALE P 39° Q East Find the bearing of Q from P. ................................................. [2]
Mark scheme: 13 231 2 B1 for any of these angles in correct place on the diagram 51 or 129 or 141 between east line drawn from P to PQ or 39 between west line dawn from P to PQ or indicating the correct bearing of Q from P on the diagram. or M1 for 180 + (90 – 39) oe or 360 – (90 + 39)
Q14 · As the age of a car increases, the selling price decreases
14 (a) As the age of a car increases, the selling price decreases. What type of correlation is this? ................................................. [1] (b) Write down the type of correlation there is between the height of a driver and the value of their car. ................................................. [1]
Mark scheme: 14(a) Negative 1 14(b) No correlation 1
Q15 · Calculate the interior angle of a regular 9-sided polygon
15 Calculate the interior angle of a regular 9-sided polygon. ................................................. [2]
Mark scheme: 15 140 2 180 ( 9 − 2 ) 360 M1 for or 180 – 9 9
Q16 · Filip invests $4000 for 3 years at a rate of 2.5% per year simple interest
16 Filip invests $4000 for 3 years at a rate of 2.5% per year simple interest. Calculate the value of his investment at the end of the 3 years. $ ................................................. [3]
Mark scheme: 16 4300 3 B2 for 300 4000 2.5 3 or M2 for 4000 + oe 100 4000 2.5 3 or M1 for oe 100
Q17 · A B NOT TO O SCALE C A, B and C are points on a circle, centre O
17 A B NOT TO O SCALE C A, B and C are points on a circle, centre O. (a) Draw a tangent to the circle at point A. [1] (b) The circumference of the circle is 22.3 cm. Calculate the radius of the circle. ............................................ cm [2] (c) Give a geometrical reason why angle BCA is 90°. ..................................................................................................................................................... [1]
Mark scheme: 17(a) Ruled tangent drawn at A 1 17(b) 3.55 or 3.548 to 3.549… 2 M1 for [r =] 22.3 ÷ 2π 17(c) Angle in a semicircle is 90º oe 1
Question 18
18 Expand and simplify. 2 ( t + w) + 3 ( w - t) ................................................. [2]
Mark scheme: 18 5w – t final answer 2 B1 for 2t + 2w or 3w – 3t or for 5w – t seen then spoiled or for 5w or – t in the final answer
Q19 · 319 Without using a calculator, work out 3 - 1
1 319 Without using a calculator, work out 3 - 1 . 8 4 You must show all your working and give your answer as a mixed number in its simplest form. ................................................. [3]
Mark scheme: 19 25 7 1 3 B1 Correct step for dealing with mixed numbers. or or 2 − 8 4 8 4 25k 7 k Allow or 8k 4 k 25 14 1 6 M1 Correct method to find a common and or [2] and denominator 8 8 8 8 1 6 e.g. 3 and1 8 8 3 A1 1 8
Q20 · = {students in a class} C = {students who play cricket} F = {students who play…
20 = {students in a class} C = {students who play cricket} F = {students who play football} There are 36 students in the class. 15 students play cricket. 20 students play football. (a) C F 11 5 Complete the Venn diagram. [2] (b) Write down n ( C , F ) . ................................................. [1]
Mark scheme: 20(a) C F 2 B1 for 4 or 16 in correct place with no extras or for 4 and 16 in correct places with extras 4 16 20(b) 31 1 FT 11 + their 4 + their 16
Q21 · ABC is a right-angled triangle
21 ABC is a right-angled triangle. A NOT TO SCALE 34° B 18 cm C Calculate AC. AC = ............................................ cm [3]
Mark scheme: 21 21.7 or 21.71… 3 18 M2 for [AC = ] oe cos34 18 or M1 for cos 34 = AC
Q22 · Point A and line L are shown on the grid
22 Point A and line L are shown on the grid. y 9 L 8 7 6 5 4 3 2 1 -3 -2 -1 0 1 2 3 x -1 -2 × A -3 -4 (a) Write down the coordinates of point A. ( ...................... , ...................... ) [1] (b) On the grid, plot the point ( - 2 , 4). [1] (c) Find the equation of line L. ................................................. [3]
Mark scheme: 22(a) (1, –2) 1 22(b) Point plotted at (–2, 4) 1 22(c) y = 2x + 3 oe final answer 3 B2 for 2x + 3 or y = 2x + c or y = mx + 3 m ≠ 0 where m is their gradient or B1 for 2x + c or for mx + 3 m ≠ 0 where m is their gradient
Q23 · Bell A rings every 22 minutes
23 Bell A rings every 22 minutes. Bell B rings every 14 minutes. Both bells ring at 09 00. Work out the next time both bells ring together. ................................................. [3]
Mark scheme: 23 11 34 3 B2 for 154 or 2h 34 mins or M1 for 154k or 2 × 7 × 11 or for [22 = ]11 × 2 and [14 =] 7 × 2 or two correct factor trees/tables of both 22 and 14 OR M2 for listing times or multiples for both bells to at least 11 34 or 154 or M1 for listing 3 of each or one full list
Q24 · B NOT TO E SCALE 7.3 cm x cm A 5.5 cm C D 4.4 cm F Triangle ABC is mathematically similar…
24 B NOT TO E SCALE 7.3 cm x cm A 5.5 cm C D 4.4 cm F Triangle ABC is mathematically similar to triangle DEF. Calculate the value of x. x = ................................................. [2]
Mark scheme: 24 5.84 2 x 4.4 M1 for = oe or better 7.3 5.5
What was in this paper
The subtopics covered by these 24 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
2Angles2Fractions, decimals and percentages2Area and perimeter1Circles, arcs and sectors1Classifying statistical data1Equations of linear graphs1Limits of accuracy1Money1Ordering1Rates1Ratio and proportion1Right-angled triangles1Scatter diagrams1Sequences1Sets1Similarity1The four operations1Time1Types of number1Units of measure1What you needed in this session
Cambridge’s own grade thresholds for 2023 Oct/Nov, Paper 1 · Variant 2. A higher threshold means an easier paper — the bar moves with how the cohort did.