Mathematics 0580/11 May/June 2023: question paper and mark scheme

Question

Work out the number of months in 5 years. …… months [1]

Question

Write 3752 correct to the (a) nearest 10 …… [1] (b) nearest 100. …… [1]

Question

Magazines cost $3.40 each. Rosina has $15 to buy as many magazines as possible. Complete the statement. Rosina can buy …… magazines and will have $ …… left. [3]

Question

Write down the mathematical name of a 4-sided shape that has rotational symmetry of order 2 and no lines of symmetry. …… [1]

Question

21 8 15 32 3 29 19 45 8 Calculate the mean of these numbers. …… [2]

Question

A train journey starts at 21 43. It takes 8 hours and 32 minutes. Find the time the journey finishes. …… [1]

Question

Write these numbers in order, starting with the smallest. 15 0.071 0.7 7% 213 …… 1 …… 1 …… 1 …… [2] smallest 24

Question

Write the fraction in its simplest form. 84 …… [1]

Question

Simplify. 3a - 5b - a - 6b …… [2]

Question

The cost of hiring a bicycle, $C, for y hours is given by the formula C = 12 + 3.5y . Maria pays $36.50 to hire this bicycle. Work out the number of hours she hires the bicycle for. …… hours [2]

Question

3 -2 a=e o b =e o 7 5 Work out a - 2b . f p [2]

Question

(a) NOT TO SCALE 52° x° The diagram shows a pair of parallel lines and a straight line. Write down the geometrical reason why the value of x is 52. …… [1] (b) NOT TO 38° 126° SCALE y° Find the value of y and write down the geometrical reason for your answer. y = …… because …… [2]

Question

Calculate the volume of a sphere with diameter 4.8 cm. 4 [The volume, V, of a sphere with radius r is V = rr 3 .] 3 …… cm 3 [2]

Question

By writing each number in the calculation correct to 1 significant figure, work out an estimate for the value of 6.7 # 2.1 . 18 - 5.9 You must show all your working. …… [2]

Question

Eric has four colours of paint. The table shows the probability that he uses each colour. Colour Red Blue Green Yellow Probability 0.3 0.35 0.13 x Find the value of x. x = …… [2]

Question

Factorise completely. 8x 2 - 20x …… [2]

Question

(a) The nth term of a sequence is 10 - n 2 . Write down the first three terms of this sequence. …… , …… , …… [2] (b) These are the first four terms of another sequence. 7 10 13 16 Find an expression for the nth term of this sequence. …… [2]

Question

The length, l metres, of a piece of wood is 3.6 metres, correct to the nearest 10 centimetres. Complete this statement about the value of l. …… G l 1 …… [2]

Question

Calculate 1 ' (6.4 # 10 -5) . Give your answer in standard form. …… [2] 1 5

Question

Without using a calculator, work out 2 ' . 7 9 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]

Question

4x° NOT TO SCALE (3x - 1)° The diagram shows a right-angled triangle. Use the information in the diagram to write down and solve an equation to find the value of x. x = …… [3]

Question

NOT TO 7.5 cm SCALE y° 12.8 cm The diagram shows a right-angled triangle. Calculate the value of y. y = …… [2]

Question

D A NOT TO h cm SCALE 5.6 cm B 7.2 cm C E 8.1 cm F Triangle ABC is similar to triangle DEF. Calculate the value of h. h = …… [2] 24  = {a, b, c, d, e, f, g, h, i, j, k} F = {f, a, c, e} B = {b, a, c, k} (a) Complete the Venn diagram. F B f d h [2] (b) Find n (F , B) . …… [1]

Question

In the question paper above.

Question

At a cinema, an adult ticket costs $a and a child ticket costs $c. (a) Farah buys 3 adult tickets and 4 child tickets for $38.50 . Complete the equation. 3a + 4c = …… [1] (b) Hana buys 6 adult tickets and 5 child tickets for $65.00 . Write down another equation in terms of a and c. …… [1] (c) Solve the two simultaneous equations to find the value of a and the value of c. You must show all your working. a = …… c = …… [3]