Mathematics 0580/11 October/November 2025: question paper and mark scheme

Question

(a) Write the number four hundred and sixty thousand and five in figures. …… [1] (b) Write 52 149 correct to the nearest hundred. …… [1]

Question

O The diagram shows a circle, centre O. On the diagram (a) draw a diameter [1] (b) mark a point on the circumference and label it C. [1]

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Write down the mathematical name of this polygon. …… [1]

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(a) Write down all the factors of 24. …… [2] 3 (b) Write down the reciprocal of . 7 …… [1] * 0000800000004 * DFD 4

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In triangle ABC, AB = 8 cm and BC = 6.4 cm. Using a ruler and compasses only, construct triangle ABC. Leave in your construction arcs. The line AC has been drawn for you. A C [2]

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Shade one square so that the diagram has rotational symmetry of order 4. [1] * 0000800000005 * DFD 5

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These are the first four terms of a sequence. 9 5 1 -3 (a) Find the next term. …… [1] (b) Explain how you worked out your answer. …… [1]

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p = 3q - 2r Work out the value of q when p = 50 and r = 5. q = …… [2] 3

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(a) Shade of this grid. 4 [1] (b) Work out 15% of 80. …… [2] * 0000800000006 * DFD 6

Question

The bar chart shows the number of books sold in a shop in each of five months. 12 11 10 9 8 Number 7 of books 6 sold 5 4 3 2 1 0 Mar Apr May Jun Jul Aug Months (a) 4 books were sold in August. Complete the bar chart. [1] (b) Calculate the mean number of books sold in the six months. …… [2]

Question

The temperature at midnight is - 2°C . The temperature at noon is 5 °C. (a) Find the difference between these temperatures. …… °C [1] (b) The temperature at 9 am is 8 °C higher than the temperature at midnight. Work out the temperature at 9 am. …… °C [1] * 0000800000007 * DFD 7

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NOT TO 4 cm SCALE 3 cm 5 cm Complete the net of this cuboid on the 1 cm 2 grid. One face has been drawn for you. [3] * 0000800000008 * DFD 8

Question

The scale drawing shows the positions of town A and town B. The scale is 1 centimetre represents 10 kilometres. North B North A Scale: 1 cm to 10 km (a) Work out the actual distance from town A to town B. …… km [2] (b) Measure the bearing of town B from town A. …… [1] (c) Town C is 45 km from town A on a bearing of 310°. * 0000800000009 * DFD 9

Question

These are the ages, in months, of each of 12 children. 11 27 8 10 26 17 28 12 9 13 22 12 (a) Complete the stem-and-leaf diagram to show this information. 0 1 2 Key: 1 | 7 represents 17 months [2] (b) Find the number of children over 2 years old. …… [1] (c) Show that the median is 12.5 . [1]

Question

D NOT TO x° SCALE 140° A B C ABC is a straight line and ABD is an isosceles triangle. Work out the value of x. x = …… [3] * 0000800000010 * DFD 10 9

Question

(a) Complete the table of values for y = . x x – 4.5 –3 –2 –1.5 –1 1 1.5 2 3 4.5 y –2 –3 –6 –9 9 6 4.5 2 [2] 9 (b) On the grid, draw the graph of y = for - 4.5 G x G - 1 and 1 G x G 4.5 . x y 9 8 7 6 5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 x –1 –2 –3 –4 –5 –6 –7 –8 –9 [4] * 0000800000011 * DFD 11

Question

(a) Write down a prime number between 20 and 30. …… [1] 2 (b) Simplify ` 9j . …… [1] 11 2

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Work out - . 18 9 Give your answer as a fraction in its simplest form. …… [2]

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By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of 5.3 # 19.5 . 2.49 …… [2]

Question

Some students take a test. 75 of the students pass the test. 3 This is of the students who take the test. 5 Work out how many students take the test. …… [2] * 0000800000012 * DFD 12

Question

Shapes A and B are shown on the grid. y 5 4 3 B 2 A 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 x –1 –2 –3 –4 –5 (a) Describe fully the single transformation that maps shape A onto shape B. …… [3] (b) Draw the image of shape A after a reflection in the line y =-1. [2] * 0000800000013 * DFD 13

Question

Chocolate cookies Makes 12 100 g flour 55 g butter 55 g sugar 20 g cocoa 1 egg (a) Sunita makes 24 chocolate cookies. Work out how much flour she needs. …… g [1] (b) Albie has 28 g of cocoa. Does he have enough cocoa to make 18 cookies? Explain how you decide. …… [2]

Question

(a) a 8 # a x = a 15 Find the value of x. x = …… [1] (b) (b 7) y = b 21 Find the value of y. y = …… [1] * 0000800000014 * DFD 14 24 % = {students in a year group} H = {students who study History} G = {students who study Geography} 80 students are in the year group. 40 students study History. % H G 10 15 (a) Complete the Venn diagram. [2] (b) Find n(G). …… [1] (c) A student is chosen at random. Work out the probability that the student does not study History and does not study Geography. …… [1]

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In the question paper above.

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Expand and simplify. (x + 3) (x - 2) …… [2]

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Write 1.753 # 10 8 as an ordinary number. …… [1] * 0000800000015 * DFD 15

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NOT TO 8 cm SCALE The diagram shows a semicircle. The radius of the semicircle is 8 cm. Find the perimeter of the semicircle. Give your answer in terms of r in its simplest form. …… cm [3] 2 5

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Work out 8 ' 1 . 3 8 Give your answer as a mixed number in its simplest form. …… [3] Question 29 is printed on the next page. * 0000800000016 * DFD 16

Question

Jim buys 15 apples and 10 pears for $42.50 . Li buys 4 apples and 5 pears for $16. Write down a pair of simultaneous equations and solve them to find the cost of one apple and the cost of one pear. Apple $ …… Pear $ …… [5]