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Mathematics 0580/11 October/November 2023: question paper and mark scheme

Cambridge IGCSE Mathematics (0580), Paper 1 (Core), October/November 2023. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.

0580_w23_qp_110580_w23_ms_110580/11/O/N/23

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Paper
Paper 1 (Core)
Total marks
56
Time
1 hour
Code on the paper
0580/11/O/N/23
0580_w23_ms_11.pdf

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 11 mark

Question

Write down the mathematical name for this type of angle. …… [1]

Mark scheme

1 Obtuse 1

Question 21 mark

Question

Write down the value of the 8 in the number 58 317. …… [1]

Mark scheme

2 1000 or 8000 1

Question 32 marks

Question

Complete these statements. (a) When x = …… , x + 3 = 8 . [1] (b) When 7y = 63, 10y = …… [1] 3

Mark scheme

3(a) 5 1 3(b) 90 1

Question 41 mark

Question

Find the value of 5832 . …… [1]

Mark scheme

4 18 1

Question 51 mark

Question

A watch costs $12 400. In a sale there is a discount of 16%. Calculate the amount of the discount. $ …… [1]

Mark scheme

5 1984 1

Question 66 marks

Question

(a) Mei writes down five integers. • The lowest integer is 8. • The range is 9. • The median is 15. • The total of the five integers is 66. • There is no mode. Write down the five integers. …… , …… , …… , …… , …… [3] (b) Huan writes down four numbers. The mean of these four numbers is 17. He writes down a fifth number. The mean of these five numbers is 20. Find the fifth number. …… [3]

Mark scheme

6(a) 8 10 15 16 17 3 B1 for 8 as lowest and 17 as highest B1 for 15 as the median of their integers B1 for two other integers such that the total of all 5 of their integers is 66 and there are no repeated integers. 6(b) 32 3 M1 for 4 × 17 soi M1 for 5 × 20 soi

Question 72 marks

Question

Arjun lives in Delhi and Haru lives in Tokyo. They play a computer game online at the same time. They start at 14 45 Tokyo local time. The game lasts 3 hours 50 minutes. The local time in Delhi is 3 hours 30 minutes behind the local time in Tokyo. Find the local time in Delhi when the game finishes. …… [2]

Mark scheme

7 15 05 or 3 05 pm 2 B1 for 15 05 or 3 05 pm incorrectly expressed or for 11 15 or 18 35 oe seen or M1 for [14 45 +] 3[h] 50 – 3[h] 30 oe

Question 82 marks

Question

The diagram shows an isosceles triangle. 41° NOT TO SCALE x° Find the value of x. x = …… [2]

Mark scheme

8 98 2 M1 for x + 41 + 41 = 180 oe or better

Question 93 marks

Question

The stem-and-leaf diagram shows the time, in minutes, it takes each of 15 people to complete a race. 1 6 6 7 2 1 3 3 4 5 6 7 7 7 3 0 1 1 Key: 1 6 represents 16 minutes Find (a) the mode …… min [1] (b) the range …… min [1] (c) the median. …… min [1]

Mark scheme

9(a) 27 1 9(b) 15 1 9(c) 25 1

Question 102 marks

Question

A B NOT TO 52° SCALE x° 135° C D AB and CD are parallel lines. Find the value of x. x = …… [2]

Mark scheme

10 83 2 B1 for 45 marked in a correct place on diagram or 52 in the correct place on line CD or indicates the angle (52 + x) is equal to 135 or M1 for 135 – 52 or 180 – 45 – 52 oe

Question 111 mark

Question

Write 0.03682 correct to 2 significant figures. …… [1]

Mark scheme

11 0.037 cao 1

Question 123 marks

Question

The table shows some information about Amir’s shopping. Number of kilograms Fruit Cost per kilogram Cost Amir buys Oranges $2.35 3.2 $…… Bananas $…… 2.8 $…… Total $13.54 Complete the table. [3]

Mark scheme

12 3 B1 for 7.52 Fruit Cost per kg Cost Oranges [$2.35] $7.52 B1 for 6.02 or B1FT for 13.54 – their 7.52 correctly Bananas $2.15 $6.02 evaluated provided their 7.52 < 13.54 B1FT for their 6.02 ÷ 2.8 correctly evaluated

Question 133 marks

Question

For each of 10 people working in an office, the scatter diagram shows their salary and the value of their car. 10 000 9000 8000 7000 6000 Value of 5000 car ($) 4000 3000 2000 1000 0 0 10 000 20 000 30 000 40 000 50 000 60 000 70 000 80 000 Salary ($) (a) One of these people has a salary of $28 000. Find the value of their car. $ …… [1] (b) Another person starts to work in the office. Their salary is $54 000 and the value of their car is $6100. Plot this information on the scatter diagram. [1] (c) What type of correlation is shown in the scatter diagram? …… [1]

Mark scheme

13(a) 4800 1 13(b) Point plotted at 1 (54 000, 6100) 13(c) Positive 1

Question 142 marks

Question

Factorise completely. 42mk - 35m …… [2]

Mark scheme

14 7m(6k – 5) final answer 2 B1 for 7(6mk – 5m) or m(42k – 35) as final answer or 7m(6k – 5) seen and then spoiled

Question 152 marks

Question

Find the highest common factor (HCF) of 140 and 126. …… [2]

Mark scheme

15 14 2 B1 for answer 2 or 7 or M1 for 2× 7 as final answer or [140 =] 2 × 2 × 5 × 7 oe and [126 =] 2 × 3 × 3 × 7 oe or 2 correct factor trees or tables

Question 163 marks

Question

Simplify. (a) n 5 # n …… [1] (b) 8x 6 ' 2x 2 …… [2]

Mark scheme

16(a) n6 final answer 1 16(b) 4x4 final answer 2 B1 for kx4 or 4xh final answer or for correct answer seen then spoiled

Question 172 marks

Question

The circumference of a circle is 59 cm. Calculate the radius of the circle. …… cm [2]

Mark scheme

17 9.39 nfww 2 59 or 9.388 to 9.390…. M1 for or 59 ÷ 2π oe 2×π

Question 182 marks

Question

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of 36.9 + 24.2 . 3.8 - 1.2 You must show all your working. …… [2]

Mark scheme

18 40 + 20 M1 4 −1 20 A1 If M0 scored, SC1 for three of 40, 20, 4 and 1 or for all correct but with trailing zeros e.g. 40.0

Question 193 marks

Question

Indira invests $6000 at a rate of r % per year simple interest. At the end of 4 years the value of her investment is $6840. Find the value of r. r = …… [3]

Mark scheme

19 3.5 nfww 3 6000 × 4 × r M2 for = 6840 – 6000 oe or [100] better 6840 − 6000 or M1 for seen 4 6000 × 4 × r or seen [100]

Question 202 marks

Question

8 cm NOT TO SCALE 6 cm 14 cm Find the area of this trapezium. …… cm 2 [2]

Mark scheme

20 66 2 14 + 8 M1 for ×6 2

Question 214 marks

Question

(a) Write these numbers in standard form. (i) 45 000 …… [1] (ii) 0.0063 …… [1] (b) Calculate 8.2 # 10 -1 # 150000 . Give your answer in standard form. …… [2]

Mark scheme

21(a)(i) 4.5 × 104 cao 1 21(a)(ii) 6.3 × 10-3 cao 1 21(b) 1.23 × 105 cao 2 B1 for 123 000 oe seen

Question 222 marks

Question

The length, s metres, of a ship is 287 m, correct to the nearest metre. Complete this statement about the value of s. …… G s 1 …… [2]

Mark scheme

22 286.5 287.5 cao 2 B1 for one correct in correct place or both correct but reversed

Question 231 mark

Question

The table shows the number of people in a town who are left-handed and the number who are right-handed. Left-handed Right-handed Total Number of people 8 400 48 600 57 000 Write down the probability that a person, chosen at random, is left-handed. …… [1]

Mark scheme

23 8400 1 oe 57000

Question 243 marks

Question

(a) Change 1.2 m 2 into mm 2 . …… mm 2 [1] (b) The speed limit on a road is 80 km/h. Sophie drives at a speed of 1200 m/min. Show that Sophie drives at a speed lower than the speed limit. [2]

Mark scheme

24(a) 1 200 000 1 24(b) 1200 ×60 80 × 1000 M1 1000 60 72 1333[.3 …] A1 If M0 scored, SC1 for [speed =] 72 or 1333[.3…]

Question 252 marks

Question

Calculate the area of a semicircle with radius 10 cm. …… cm 2 [2]

Mark scheme

25 157 to 157.1 nfww 2 1 M1 for [ ] × π × 102 oe 2

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How this paper is marked

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Where can I find the 0580/11 October/November 2023 mark scheme?

On this page, free: the mark scheme for IGCSE Mathematics 0580/11, October/November 2023 (0580_w23_ms_11), and the question paper (0580_w23_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 October/November 2023 is out of 56 marks, with 1 hour to answer it.

Can I get my 0580/11 answers marked?

Yes. Upload your answers to 0580/11/O/N/23 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.