Cambridge IGCSE Mathematics 0580 — 2024 Oct/Nov Paper 1 · Variant 1
0580/11/O/N/24 · 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 · Jacob is 10 years 8 months old
1 Jacob is 10 years 8 months old. Amy is 15 months younger than Jacob. Find how old Amy is. ...................... years ...................... months [1]
Mark scheme: Question Answer Marks Partial Marks 1 9 5 1
Q2 · Change 6.7 kilometres to metres
2 Change 6.7 kilometres to metres. .............................................. m [1]
Mark scheme: 2 6700 1
Q3 · X (a) Measure angle x
3 x (a) Measure angle x. Angle x = ................................................ [1] (b) Write down the mathematical name for this type of angle. ................................................. [1]
Mark scheme: 3(a) 83 1 3(b) Acute 1
Q4 · A concert starts at 19 50 and finishes 2 hours 42 minutes later
4 A concert starts at 19 50 and finishes 2 hours 42 minutes later. Work out the time the concert finishes. ................................................. [1]
Mark scheme: 4 22 32 or 10 32pm 1
Q5 · Use one of these symbols 1, 2 or = to make each statement true
5 Use one of these symbols 1, 2 or = to make each statement true. 2 ....................... 0.2861 7 99 ....................... 11% 900 13 ....................... 40 [2]
Mark scheme: 5 < 2 B1 for two correct = =
Q6 · The stem-and-leaf diagram shows the number of cars sold each day by a company
6 The stem-and-leaf diagram shows the number of cars sold each day by a company. 1 0 3 4 5 6 7 2 1 2 2 4 7 7 7 3 0 0 1 2 2 5 6 8 4 0 1 4 6 5 1 2 4 Key: 3 | 2 represents 32 (a) Find the range. ................................................. [1] (b) Find the mode. ................................................. [1]
Mark scheme: 6(a) 44 1 6(b) 27 1
Q7 · 7 Find the reciprocal of 1 4
1 7 Find the reciprocal of 1 4. ................................................. [1]
Mark scheme: 7 4 1 or 0.8 5
Q8 · NOT TO SCALE 28° 138° 49° y° The diagram shows a quadrilateral
8 NOT TO SCALE 28° 138° 49° y° The diagram shows a quadrilateral. Find the value of y. y = ................................................ [2]
Mark scheme: 8 61 2 M1 for [reflex = ]360 – 138 oe or for 138 – 49 – 28 oe
Q9 · Edith invests $3000 in a savings account
9 Edith invests $3000 in a savings account. The account pays simple interest at a rate of 2.6% per year. Calculate the total interest earned during the 3 years. $ ................................................. [2]
Mark scheme: 9 234 2 3000 2.6 3 M1 for 100
Q10 · These are the first four terms of a sequence
10 (a) These are the first four terms of a sequence. 10 16 22 28 Write down the next term in the sequence. ................................................. [1] (b) The term to term rule for another sequence is multiply by 3 and subtract 1. The fourth term in the sequence is 68. Find the third term in the sequence. ................................................. [2]
Mark scheme: 10(a) 34 1 10(b) 23 nfww 2 M1 for 3[…] – 1 = 68 oe or better
Q11 · The circumference of a wheel is 198.55 cm
11 The circumference of a wheel is 198.55 cm. Calculate the diameter of the wheel. Give your answer in millimetres. ........................................... mm [3]
Mark scheme: 11 632 or 631.9 to 632.0… 3 B2 for 63.2 or 63.19 to 63.20…. as diameter 198.55 1985.5 or M1 for or If zero scored, then B1 for a correct conversion from cm to mm
Q12 · The grid shows half of a shape which has a line of symmetry, L
12 The grid shows half of a shape which has a line of symmetry, L. Complete the shape. L [2]
Mark scheme: 12 2 B1 for 1 line correct
Q13 · Find the value of 6c + 7d when c = 3 and d =- 4
13 (a) Find the value of 6c + 7d when c = 3 and d =- 4 . ................................................. [2] (b) Solve. 6x + 8 = 11x + 4 x = ................................................ [2]
Mark scheme: 13(a) –10 2 B1 for 18 or –28 or M1 for 6 × 3 + 7 × −4 13(b) 4 2 M1 for 8 – 4 = 11x – 6x or better or 0.8 5
Q14 · Write 34 as a percentage of 80
14 Write 34 as a percentage of 80. ..............................................% [1]
Mark scheme: 14 42.5 1
Q15 · A bus stops 25 times on a journey
15 A bus stops 25 times on a journey. The table shows the number of people who get on the bus at each stop. Number of people Frequency 0 1 1 6 2 7 3 4 4 5 5 2 Calculate the mean. ................................................. [3]
Mark scheme: 15 2.48 3 M1 for [0 × 1] + (1 × 6) + (2 × 7) + (3 × 4) + (4 × 5) + (5 × 2) or [0] + 6 +14 + 12 + 20 + 10 soi or 62 soi M1dep for their fx 25
Q16 · W cm NOT TO SCALE 8 cm 12 cm The diagram shows a trapezium with parallel sides of length…
16 w cm NOT TO SCALE 8 cm 12 cm The diagram shows a trapezium with parallel sides of length 12 cm and w cm. The height of the trapezium is 8 cm. The area of the trapezium is 78 cm2. Find the value of w. w = ................................................ [2]
Mark scheme: 16 7.5 2 (12 + w ) 8 M1 for = 78 oe or better 2
Q17 · A distance, d metres, measures 34.6 m, correct to the nearest 0.1 m
17 A distance, d metres, measures 34.6 m, correct to the nearest 0.1 m. Complete this statement about the value of d. ...................... G d 1 ...................... [2]
Mark scheme: 17 34.55 34.65 2 B1 for each or SC1 for both correct but reversed
Q18 · The diagram shows a rectangle and two points, P and C, on a 1 cm2 grid
18 The diagram shows a rectangle and two points, P and C, on a 1 cm2 grid. y 9 P 8 7 6 C 5 4 3 2 1 0 x 1 2 3 4 5 6 7 8 (a) Write down the coordinates of point C. ( ...................... , ...................... ) [1] (b) The rectangle is enlarged by scale factor 2 with centre of enlargement point C. Find the coordinates of the image of point P. ( ...................... , ...................... ) [2] (c) Find the area of the enlarged rectangle. .......................................... cm2 [1]
Mark scheme: 18(a) (0, 5) 1 18(b) (14, 11) 2 B1 for each 18(c) 60 1
Q19 · Jo asks some people if they own a car (C) and if they own a motorbike (M)
19 Jo asks some people if they own a car (C) and if they own a motorbike (M). 86 people own a car. 39 people own a motorbike. 7 people do not own a car and do not own a motorbike. C M 74 (a) Complete the Venn diagram. [2] (b) Find the total number of people that Jo asks. ................................................. [1] (c) Write down n ( C + M ) . ................................................. [1]
Mark scheme: 19(a) 2 B1 for 12 or 27 in the correct position or n(M) = 39 provided the intersection is not empty cao 19(b) 120 1 FT their complete diagram 19(c) 12 1 FT their intersection provided not empty
Q20 · Josh buys a car for $7800 and sells it for $5265
20 Josh buys a car for $7800 and sells it for $5265. Calculate his percentage loss. ..............................................% [2]
Mark scheme: 20 32.5 2 7800 − 5265 M1 for 100 oe 7800 7800 − 5265 or 1 − 100 oe 7800 oe or 100 − 5265 100 7800
Question 21
21 (a) Factorise. 28x - 35 ................................................. [1] r (b) Make r the subject of the formula T = - p . 4 r = ................................................ [2]
Mark scheme: 21(a) 7(4x – 5) final answer 1 21(b) 4T + 4p or 4(T + p) 2 r M1 for T + p = or 4T = r – 4p final answer 4
Q22 · Solve the simultaneous equations
22 Solve the simultaneous equations. You must show all your working. 5x + 6y = 9 3x - 2y = - 17 x = ....................................................... y = ....................................................... [3] Questions 23 and 24 are printed on the next page.
Mark scheme: 22 Correctly eliminating one M1 variable
Q23 · 4 23 Without using a calculator, work out 5 - 3
1 4 23 Without using a calculator, work out 5 - 3 . 3 7 You must show all your working and give your answer as a mixed number in its simplest form. ................................................. [3]
Mark scheme: 23 B1 Correct step for dealing with mixed numbers 16 25 1 4 or − 16 k 25 k 3 7 23 7 Allow or 3k 7 k M1 Correct method to find common denominator 112 75 and 72 and 7 21 21 21 e.g. 5 and 312 12 21 21 21 16 A1 121 cao
Q24 · NOT TO SCALE `x + 132j ° x° The diagram shows part of a regular polygon
24 NOT TO SCALE `x + 132j ° x° The diagram shows part of a regular polygon. The interior angle of the polygon is 132° larger than the exterior angle. Calculate the number of sides of this polygon. ................................................. [3]
Mark scheme: 24 15 3 B2 for [x =] 24 OR M1 for x + x + 132 = 180 oe soi 360 M1 for oe provided this gives an integer their x answer
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.
What you needed in this session
Cambridge’s own grade thresholds for 2024 Oct/Nov, Paper 1 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.