IGCSE Mathematics 0580 Paper 11, Oct/Nov 2023

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Question paper

0580/11 · Oct/Nov 2023

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Write down the mathematical name for this type of angle.

[1]

Write down the value of the 8 in the number 58317.

[1]

Complete these statements.

When $x = .....................$ , $x + 3 = 8$ .

[1]

When $7 y = 63$ , $10 y = .....................$

[1]

Find the value of $\sqrt[3]{5832}$ .

[1]

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

[1]

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]

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]

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]

The diagram shows an isosceles triangle. Find the value of $x$ .

[2]

The stem-and-leaf diagram shows the time, in minutes, it takes each of 15 people to complete a race. Find

the mode

[1]

the range

[1]

the median.

[1]

$A B$ and $C D$ are parallel lines. Find the value of $x$ .

[2]

Write 0.03682 correct to 2 significant figures.

[1]

The table shows some information about Amir’s shopping. Complete the table.

[3]

For each of 10 people working in an office, the scatter diagram shows their salary and the value of their car.

One of these people has a salary of $$ 28 000$ . Find the value of their car.

[1]

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]

What type of correlation is shown in the scatter diagram?

[1]

Factorise completely. $42 m k - 35 m$

[2]

Find the highest common factor (HCF) of 140 and 126.

[2]

Simplify.

$n^{5} \times n$

[1]

$8 x^{6} \div 2 x^{2}$

[2]

The circumference of a circle is $59 cm$ . Calculate the radius of the circle.

[2]

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of $\frac{36.9 + 24.2}{3.8 - 1.2} .$ You must show all your working.

[2]

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 $r$ .

[3]

Find the area of this trapezium.

[2]

a(i)

Write these numbers in standard form. $45 000$

[1]

a(ii)

0.0063

[1]

Calculate $8.2 \times 10^{- 1} \times 150 000$ . Give your answer in standard form.

[2]

The length, $s$ metres, of a ship is $287 m$ , correct to the nearest metre. Complete this statement about the value of $s$ .

[2]

The table shows the number of people in a town who are left-handed and the number who are right-handed. Write down the probability that a person, chosen at random, is left-handed.

[1]

Change $1.2 m^{2}$ into ${mm}^{2}$ .

[1]

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]

Calculate the area of a semicircle with radius $10 cm$ .

[2]

Mark scheme

0580/11 · Oct/Nov 2023

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1 · 1 mark

1 mark
Obtuse

2 · 1 mark

1 mark
1000 or 8000

3a · 1 mark

1 mark
5

3b · 1 mark

1 mark
90

4 · 1 mark

1 mark
18

5 · 1 mark

1 mark
1984

6a · 3 marks

3 marks
8 10 15 16 17

6b · 3 marks

3 marks
32

7 · 2 marks

2 marks
15 05 or 3 05 pm

8 · 2 marks

2 marks
98

9a · 1 mark

1 mark
27

9b · 1 mark

1 mark
15

9c · 1 mark

1 mark
25

10 · 2 marks

2 marks
83

11 · 1 mark

1 mark
0.037 cao

12 · 3 marks

3 marks
Fruit Cost per kg Cost
Oranges [$2.35] | $7.52
Bananas $2.15 | $6.02

Fruit	Cost per kg	Cost
Oranges	[$2.35] \| $7.52
Bananas	$2.15 \| $6.02

13a · 1 mark

1 mark
4800

13b · 1 mark

1 mark
Point plotted at (54 000, 6100)

13c · 1 mark

1 mark
Positive

14 · 2 marks

2 marks
7m(6k – 5) final answer

15 · 2 marks

2 marks
14

16a · 1 mark

1 mark
n^6 final answer

16b · 2 marks

2 marks
4x^4 final answer

17 · 2 marks

2 marks
9.39 nfww or 9.388 to 9.390….

18 · 2 marks

M1
(40 + 20) / (4 - 1)
A1
20

19 · 3 marks

3 marks
3.5 nfww

20 · 2 marks

2 marks
66

21a(i) · 1 mark

1 mark
4.5 × 10^4 cao

21a(ii) · 1 mark

1 mark
6.3 × 10^-3 cao

21b · 2 marks

2 marks
1.23 × 10^5 cao

22 · 2 marks

2 marks
286.5 287.5 cao

23 · 1 mark

1 mark
8400 / 57000 oe

24a · 1 mark

1 mark
1 200 000

24b · 2 marks

M1
(1200 × 60) / 1000 (80 × 1000) / 60
A1
72 1333[.3 …]

25 · 2 marks

2 marks
157 to 157.1 nfww

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