Question 13 marks
Question
(a) Write 0.8 as a fraction. …… [1] (b) Write 28% as a decimal. …… [1] (c) Write 4876 correct to the nearest hundred. …… [1]
Mark scheme
1(a) 8 1 oe fraction 10 1(b) 0.28 1 1(c) 4900 cao 1
Mathematics 0580/11 May/June 2024: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 1 (Core), May/June 2024. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_s24_qp_110580_s24_ms_110580/11/M/J/24
- Paper
- Paper 1 (Core)
- Total marks
- 56
- Time
- 1 hour
- Code on the paper
- 0580/11/M/J/24
0580/11 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
A B Measure the length of line AB in millimetres. …… mm [1]
Mark scheme
2 107 1
Question 32 marks
Question
The travel graph shows the journey of a bus. 14 12 10 Distance 8 (km) 6 4 2 0 14 00 14 30 15 00 15 30 16 00 Time (a) Find the distance the bus travels in the first 50 minutes. …… km [1] (b) Find how long, in minutes, the bus is stationary. …… min [1]
Mark scheme
3(a) 10 1 3(b) 40 1
Question 41 mark
Question
Write down the order of rotational symmetry of a rhombus. …… [1]
Mark scheme
4 2 1
Question 51 mark
Question
The diagram shows a shape on a 1 cm2 grid. Find the area of this shape. …… cm2 [1]
Mark scheme
5 12 1
Question 62 marks
Question
(a) Work out. 28 - 16 ' 2 …… [1] 4 (b) Find the reciprocal of . 5 …… [1]
Mark scheme
6(a) 20 1 6(b) 1 1 1.25 or 1 oe 4
Question 71 mark
Question
The temperature on Monday is –27 °C. The temperature on Tuesday is 15 °C higher than on Monday. Work out the temperature on Tuesday. …… °C [1]
Mark scheme
7 −12 1
Question 82 marks
Question
Draw all the lines of symmetry on this shape. [2]
Mark scheme
8 2 correct lines of symmetry 2 B1 for one correct line and no extras or two correct lines and one extra
Question 92 marks
Question
y 8 7 6 A 5 4 3 C 2 1 B –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 x 3 4 5 –1 –2 The diagram shows two sides of a parallelogram ABCD. Find the coordinates of point D. ( …… , …… ) [2]
Mark scheme
9 (–3, 7) 2 B1 for correct diagram or for correct coordinates for their point D or for (-3, k) or (k, 7)
Question 104 marks
Question
h cm NOT TO SCALE 6 cm 15 cm The total surface area of this cuboid is 369 cm2. Work out the value of h. h = …… [4]
Mark scheme
10 4.5 4 M3 for 2 ( 6h + 15h ) = 369 − 2 ( 6 × 15 ) or better or M2 for [ 2] ( 6 × 15 + 6 × h + 15 × h ) oe or M1 for [2 × ] 6 × 15 or [2 × ] 6h or [2 × ] 15h
Question 113 marks
Question
Geetha has a box of toys. She picks a toy at random from the box. The probability that she picks a wooden toy is 0.6 . (a) Work out the probability that she does not pick a wooden toy. …… [1] (b) The box contains three types of toys, wooden, plastic or metal. Type of toy Wooden Plastic Metal Number of toys 14 14 Probability 0.6 Complete the table. [2]
Mark scheme
11(a) 0.4 oe 1 11(b) 42 2 B1 for 42 0.2 0.2 B1 for 0.2 and 0.2 If B0 scored, SC1 for their two probabilities each being half of their (a)
Question 122 marks
Question
The table shows some information about two sequences. nth term 5th term Sequence A 60 – 4n Sequence B n2 – 300 Complete the table. [2]
Mark scheme
12 40 2 B1 for each –275
Question 131 mark
Question
Find the coordinates of the point where the line y = 3x - 5 crosses the y-axis. ( …… , …… ) [1]
Mark scheme
13 ( 0, −5) 1
Question 142 marks
Question
By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of 28.2 - 5.6 . 4.2 # 1.68 You must show all your working. …… [2]
Mark scheme
14 30 − 6 M1 4× 2 3 nfww A1 If 0 scored, SC1 for 3 correct roundings or all correct but with trailing zeros
Question 152 marks
Question
Factorise completely. 36x 2 + 40x …… [2]
Mark scheme
15 4 x ( 9 x + 10 ) ( 2 B1 for x ( 36 x + 40 ) or 4 9 x 2 + 10 x ) final answer or 2 x (18 x + 20 ) or for 4 x ( 9 x + 10 ) seen then spoilt
Question 163 marks
Question
NOT TO SCALE x+7 3x - 12 The diagram shows a rectangle with length 3x - 12 and width x + 7 . Find an expression for the perimeter of the rectangle. Give your answer in its simplest form. …… [3]
Mark scheme
16 8 x − 10 or 2 ( 4 x − 5 ) 3 B2 for 8 x − 10 seen and spoilt final answer or M2 for 2 ( x + 7 ) + 2 ( 3x − 12 ) oe or M1 for x + 7 + 3 x − 12 oe or B1 for 8 x or −10 in final answer
Question 172 marks
Question
The diagram shows a circle, centre O. P lies on the circle. P O (a) Write down the mathematical name of the line OP. …… [1] (b) Draw a tangent to the circle at P. [1]
Mark scheme
17(a) radius 1 17(b) Ruled line drawn through P 1 perpendicular to OP
Question 182 marks
Question
Find the greatest odd number that is a factor of 140 and a factor of 210. …… [2]
Mark scheme
18 35 2 B1 for answer 5 or 7 or 70 or M1 for 2 × 2 × 5 × 7 and 2 × 3 × 5 × 7 or two correct factor trees or tables or 5 × 7 × k seen
Question 192 marks
Question
Calculate. 3 (a) 343 - 40.96 …… [1] (b) (192 + 4 # 16) 1.25 …… [1]
Mark scheme
19(a) 3 1 0.6 or 5 19(b) 1024 1
Question 202 marks
Question
(a) Find the value of 137 0 . …… [1] (b) 7 12 ' 7 p = 7 17 Find the value of p. p = …… [1]
Mark scheme
20(a) 1 1 20(b) –5 1
Question 212 marks
Question
Calculate 1.827 # 10 6 ' 9000 . Give your answer in standard form. …… [2]
Mark scheme
21 2.03 × 10 2 cao 2 B1 for 203 oe If 0 scored, SC1 for writing their ordinary number correctly in standard form
Question 223 marks
Question
Solve the simultaneous equations. You must show all your working. 6x + 2y = 29 3x - 4y = 17 x = …… y = …… [3]
Mark scheme
22 Correctly eliminating one variable M1 [ x =]5 A1 [ y =] − 0.5 A1 If M0 scored SC1 for 2 values satisfying one of the original equations
Question 232 marks
Question
Change 9.6 km/h into m/s. …… m/s [2]
Mark scheme
23 2 2 9.6 × 1000 2 or 2.67 M1 for oe 3 60 × 60 or 2.666 to 2.667
Question 242 marks
Question
These are the first five terms of a sequence. 11 18 25 32 39 Find an expression for the nth term of the sequence. …… [2]
Mark scheme
24 7n + 4 oe final answer 2 B1 for 7n + j or kn + 4 k ≠ 0 or 7n + 4 seen then spoilt
Question 257 marks
Question
12.8 cm J L NOT TO SCALE 12.8 cm K The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL. JKL is an isosceles right-angled triangle with JK = JL = 12.8 cm. (a) Calculate the area of this shape. …… cm2 [3] (b) Calculate the perimeter of this shape. …… cm [4]
Mark scheme
25(a) 146 or 3 146.2 to 146.3 1 M1 for × 12.8 × 12.8 2 2 1 12.8 M1 for × π × 2 2 25(b) 51[.0] or 4 1 51.00 to 51.01… M1 for × π ×12.8 2 12.8 M2 for 12.82 + 12.82 or oe Sin 45 or M1 for 12.82 + 12.82 oe 12.8 or sin 45 = oe KL
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Where can I find the 0580/11 May/June 2024 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/11, May/June 2024 (0580_s24_ms_11), and the question paper (0580_s24_qp_11), to read or download, with each question's marking points written out underneath.
How many marks is 0580/11 out of?
Mathematics 0580/11 for May/June 2024 is out of 56 marks, with 1 hour to answer it.
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