Mathematics 0580/13 May/June 2024: question paper and mark scheme

Question

Write the number two million two thousand and two in figures. …… [1]

Question

Put one pair of brackets into this calculation to make it correct. 5 + 4 # 3 + 9 = 53 [1]

Question

Simplify. 7x - 8y - x - y …… [2]

Question

(a) Write 164 703 correct to the nearest thousand. …… [1] (b) Write 16.983 correct to 1 decimal place. …… [1] (c) Write 0.037 665 correct to 2 significant figures. …… [1]

Question

(a) On the diagram, draw any lines of symmetry. [1] (b) Write down the order of rotational symmetry of this shape. …… [1]

Question

Write these numbers in order, starting with the smallest. 4 2 0.45 42% 11 5 …… 1 …… 1 …… 1 …… [2] smallest

Question

The base of a cuboid measures 10 cm by 7 cm. The volume of the cuboid is 280 cm 3 . Calculate the height of the cuboid. …… cm [2]

Question

In a city, the probability that it will rain today is 0.15 . Find the probability that it will not rain today in this city. …… [1]

Question

One day the temperature in Tokyo is - 5 °C and the temperature in Manila is 18 °C. (a) Work out the difference between these two temperatures. …… °C [1] (b) The temperature in Tokyo rises by 4 °C. Find the new temperature in Tokyo. …… °C [1]

Question

(a) These are the first four terms of a sequence. 3 10 17 24 (i) Write down the next term. …… [1] (ii) Write down the term to term rule for continuing the sequence. …… [1] (b) These are the first four terms of another sequence. 16 14 11 7 Write down the next two terms of this sequence. …… , …… [2]

Question

x° NOT TO SCALE 36° The diagram shows an isosceles triangle. Find the value of x. x = …… [2]

Question

The diagram shows a cuboid. NOT TO 3 cm SCALE 2 cm 6 cm On the 1 cm 2 grid, complete a net of this cuboid. One face has been drawn for you. [3]

Question

Factorise completely. 4x 2 y - 5xy 2 …… [2]

Question

The scale of a map is 1 : 40 000. On the map the distance between two villages is 37 cm. Calculate the actual distance between the two villages. Give your answer in kilometres. …… km [2] 3 1

Question

Without using a calculator, work out - . 7 14 You must show all your working and give your answer as a fraction in its simplest form. …… [2]

Question

The price of a game increases from $48 to $56.40 . Calculate the percentage increase in the price. …… % [2]

Question

C NOT TO SCALE 8 cm 37° A B The diagram shows a right-angled triangle. Calculate AB. AB = …… cm [2]

Question

The length, s metres, of a ship is 83 m, correct to the nearest metre. Complete this statement about the value of s. …… G s 1…… [2]

Question

Solve the simultaneous equations. 5t - 2w = 19 3t + 2w = 5 t = …… w = …… [2]

Question

The diagram shows the positions of three towns A, B and C. North North B North 103° NOT TO SCALE A C Angle ABC = 103° . The bearing of town B from town A is 048°. Town C is due east of town A. Find the bearing of town C from town B. …… [4]

Question

(a) % = {1, 4, 5, 8, 9, 12, 16, 64} C = {cube numbers} S = {square numbers} C S (i) Complete the Venn diagram. [2] (ii) Find n (C , S) . …… [1] (b) A B On this Venn diagram, shade the region A + B . [1]

Question

(a) Write these numbers in standard form. (i) 0.007 …… [1] (ii) 700 000 000 …… [1] 3200 # 5.4 # 10 -3 (b) Calculate . 4.8 # 10 -4 Give your answer in standard form. …… [2]

Question

0.5 m NOT TO 32 cm SCALE 24 cm The diagram shows a spherical tank with radius 0.5 m and a cylindrical jug with diameter 24 cm and height 32 cm. The tank is full of water. Calculate how many times the jug can be completely filled with water from the tank. 4 [The volume, V, of a sphere with radius r is rr 3 .] 3 …… [5]