Mathematics 0580/13 May/June 2019: question paper and mark scheme

Question

Write 3.058 correct to 3 significant figures. …… [1]

Question

Write 0.45 as a fraction in its simplest form. …… [1]

Question

Factorise 2x 2 - x . …… [1]

Question

Find the co-ordinates of the point where the line y = 3x - 8 crosses the y-axis. (…… , ……) [1]

Question

Giulio’s reaction times are measured in two games. In the first game his reaction time is 13 of a second. In the second game his reaction time is 18 of a second. Find the difference between the two reaction times. …… s [1]

Question

The probability that Alex wins a prize is 0.27 . Find the probability that Alex does not win a prize. …… [1]

Question

The table shows the different methods of travel for 20 people going to work. Method of travel Frequency Car 10 Walk 5 Bike 3 Bus 2 Which type of average, mean, median or mode, can be used for this information? …… [1]

Question

Calculate. (a) - 12 ' - 2 …… [1] 3 (b) 23 + 2 …… [1]

Question

Simplify. 4x - 12y + 10x + 25y …… [2]

Question

Here is a list of numbers. 2 21 3 13 31 121 51 0.7 From this list, write down (a) a prime number, …… [1] (b) an irrational number. …… [1] 5 1

Question

p =e o q =e o 0 6 Work out 2p + 3q . f p [2]

Question

Write down the type of correlation you would expect for the following. (a) The average speed of a train and the time taken for a journey. …… [1] (b) The distance travelled by a car and the amount of fuel used. …… [1]

Question

The scale drawing shows a rock, R. The scale is 1 centimetre represents 30 metres. A lighthouse, L, is 210 m from R, on a bearing of 125°. On the diagram, mark the position of L. North R Scale : 1 cm to 30 m [2]

Question

Rearrange 2 (w + h) = P to make w the subject. w = …… [2]

Question

Genaro measures the length, l cm, of his desk as 120 cm, correct to the nearest centimetre. Complete the statement about the value of l. …… G l 1 …… [2]

Question

Solve. 7x - 5 = 16 x = …… [2] 12 7

Question

Without using a calculator, work out # . 35 9 You must show all your working and give your answer as a fraction in its simplest form. …… [2]

Question

Q 7.7 cm R B C NOT TO SCALE 5.5 cm P A a cm D 9.8 cm S Shape ABCD is similar to shape PQRS. Work out the value of a. a = …… [2]

Question

Harry invests $800 for 2 years at a rate of 3% per year compound interest. Calculate the amount of interest he receives at the end of the 2 years. $ …… [3]

Question

Solve the simultaneous equations. You must show all your working. 5x - 2y = 26 7x + 6y = 10 x = …… y = …… [3]

Question

(a) Write down the next term in each sequence. (i) 12, 7, 2, -3, -8, …… [1] (ii) 4, 7, 13, 25, 49, …… [1] (b) Find an expression, in terms of n, for the nth term of this sequence. 5, 8, 11, 14, … …… [2]

Question

A closed box in the shape of a cuboid has length 5 cm, width 4 cm and height 2 cm. (a) Calculate the volume of the box. …… cm3 [2] (b) On the 1 cm2 grid, complete the net of this box. [2]

Question

K J NOT TO E SCALE D A O F C B H G The diagram shows two regular pentagons. Pentagon FGHJK is an enlargement of pentagon ABCDE, centre O. Find angle AEK. Angle AEK = …… [4]

Question

D NOT TO SCALE 15 m 38° A B 10.7 m C A vertical flagpole, BD, stands on horizontal ground and is held by two ropes, AD and CD. AD = 15m , BC = 10.7 m and angle DAB = 38° . (a) Using trigonometry, calculate BD. BD = …… m [2] (b) Calculate CD. CD = …… m [2]

Question

Jason spends 480 minutes at school each day. The pie chart shows the time he spends in three of his lessons. Maths 45° English Science (a) Measure the sector angle for science. …… [1] (b) Work out the time, in minutes, Jason spends in English. …… min [2] (c) Jason spends 100 minutes in geography and the rest of the day is free time. Complete the pie chart. [2]