Mathematics 0580/11 May/June 2019: question paper and mark scheme

Question

Write as a decimal. 4 …… [1]

Question

Work out $1.20 as a percentage of $16. ……% [1]

Question

Factorise 5y - 6py. …… [1]

Question

A bag contains green balls and red balls only. A ball is taken at random from the bag. The probability of taking a green ball is 0.38 . Write down the probability of taking (a) a red ball, …… [1] (b) a blue ball. …… [1]

Question

(a) On Monday the temperature at midday is 4 °C and the temperature at midnight is -3 °C. Work out the difference between these two temperatures. ……°C [1] (b) On Wednesday the temperature at midday is -1 °C. By 7 pm the temperature has fallen by 4 °C. Work out the temperature at 7 pm. ……°C [1]

Question

The volume of a cuboid is 180 cm3. The base is a square of side length 6 cm. Calculate the height of this cuboid. …… cm [2]

Question

Write the following numbers in standard form. (a) 640 000 …… [1] (b) 0.0006 …… [1]

Question

Work out. 4 1 (a) e o - e o -2 5 f p [1] 3 (b) 6 e o 0 f p [1]

Question

Asif and Ben share $2100 in the ratio Asif : Ben = 3 : 7. Work out how much Asif receives. $ …… [2]

Question

The length of a truck, L metres, is 8.2 m, correct to 1 decimal place. Complete this statement about the value of L. …… G L 1 …… [2]

Question

Simplify. (a) t 21 ÷ t 7 …… [1] 5 (b) (u5) …… [1]

Question

NOT TO SCALE 12 cm x cm 35° The diagram shows a right-angled triangle. Calculate the value of x. x = …… [2] 1.6 + 9.6 2

Question

p= 5.9 - 4.3 (a) By writing each number correct to 1 significant figure, work out an estimate for p. You must show all your working. …… [2] (b) Calculate the exact value of p. …… [1]

Question

27 28 29 30 31 32 33 From the list of numbers, write down (a) a multiple of 7, …… [1] (b) a cube number, …… [1] (c) a prime number. …… [1] 5 2

Question

Without using a calculator, work out + . 6 3 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]

Question

These are the first four terms of a sequence. 5 8 11 14 (a) Write down the next term. …… [1] (b) Find an expression, in terms of n, for the nth term. …… [2]

Question

Q B 75° 18 cm NOT TO 75° SCALE 6 cm 65° 40° 65° 40° A C P R 27 cm (a) Explain why triangle ABC and triangle PQR are similar. …… [1] (b) Find AC. AC = …… cm [2]

Question

A car travels at a constant speed of 20 m/s. Work out the time it takes for the car to travel 10 km. Give your answer in minutes and seconds. …… minutes …… seconds [3]

Question

(a) On each shape, draw all the lines of symmetry. (i) [1] (ii) [2] (b) Write down the name of a quadrilateral that has • rotational symmetry of order 2 and • exactly two lines of symmetry. …… [1]

Question

(a) Change 3670 centimetres to metres. …… m [1] (b) The scale drawing shows the positions of town S and town T. The scale is 1 centimetre represents 15 kilometres. North S North T Scale: 1 cm to 15 km (i) Find the actual distance between these two towns. …… km [2] (ii) Measure the bearing of town T from town S. …… [1]

Question

The travel graph shows Michael’s journey from his home to the beach. Beach 12 10 8 Distance (km) 6 4 2 Home 0 08 00 08 30 09 00 09 30 10 00 10 30 11 00 Time (a) At what time did he start his journey? …… [1] (b) On the journey he stopped for a rest. (i) Find the distance he was from home when he stopped for a rest. …… km [1] (ii) For how many minutes did he stop? ……min [1] (c) Explain how the graph shows that Michael travelled faster before he stopped than after he stopped. …… [1]

Question

The diagram shows a point P and a line L. y 4 L 3 2 1 –4 –3 –2 –1 0 1 2 3 4 x P –1 –2 –3 –4 (a) Write down the co-ordinates of point P. (…… , ……) [1] (b) Find the gradient of line L. …… [2] (c) Write down the equation of line L in the form y = mx + c. y = …… [2]