Mathematics 0580/11 May/June 2020: question paper and mark scheme

Question

Write down the value of the 7 in the number 570 296. …… [1]

Question

The table shows the temperature, in °C, at midday on the first day of each month during one year in a city. Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 9 11 15 19 23.5 27.5 29 28 25 19.5 14.5 10 Calculate the mean of these temperatures. …… °C [2]

Question

Write these numbers in order, starting with the smallest. 13 5 5.6% 0.065 201 89 …… < …… < …… < …… [2] smallest

Question

(a) On each shape draw all the lines of symmetry. [3] (b) Write down the order of rotational symmetry of this shape. …… [1]

Question

A NOT TO 38° SCALE B C D In the triangle ABC, AB = AC and angle BAC = 38°. BCD is a straight line. Work out angle ACD. Angle ACD = …… [3]

Question

(a) Diego flies from Madrid to Buenos Aires. His flight leaves at 20 55 and arrives at 03 50 local time. The local time in Buenos Aires is 5 hours behind the local time in Madrid. Work out, in hours and minutes, the time the flight takes. …… h …… min [2] (b) Diego changes 200 euros into Argentine Peso. The exchange rate is 1 euro = 24.8 pesos. Work out how many pesos he receives. …… pesos [1] (c) The distance between Madrid and Buenos Aires is 10 050 km. Diego’s return flight takes 12 hours 30 minutes. Calculate the average speed, in km/h, for the return flight. …… km/h [1]

Question

Rectangle A measures 3 cm by 8 cm. 8 cm NOT TO 3 cm A SCALE Five rectangles congruent to A are joined to make a shape. NOT TO SCALE Work out the perimeter of this shape. …… cm [2]

Question

Find the highest odd number that is a factor of 60 and a factor of 90. …… [1]

Question

y 4 3 2 Q 1 –4 –3 –2 –1 0 1 2 3 4 x –1 P –2 –3 –4 (a) Write PQ as a column vector. f p [1] (b) Write 3PQ as a single vector. f p [1]

Question

Work out the size of one interior angle of a regular 9-sided polygon. …… [2]

Question

A cone has radius 4.5 cm and height 10.4 cm. Calculate, in terms of r, the volume of the cone. 1 [The volume, V, of a cone with radius r and height h is V = rr 2 h .] 3 …… cm 3 [2]

Question

(a) The nth term of a sequence is 60 - 8n . Find the largest number in this sequence. …… [1] (b) Here are the first five terms of a different sequence. 12 19 26 33 40 Find an expression for the nth term of this sequence. …… [2]

Question

Factorise completely. 21a 2 + 28ab …… [2]

Question

The diagram shows a trapezium. (97 - 3x) ° NOT TO SCALE (69 + 5x) ° Work out the value of x. x = …… [3]

Question

Simplify. 4p 5 q 3 # p 2 q -4 …… [2]

Question

(a) Write the number 0.0605 in standard form. …… [1] (b) Calculate (1.63 # 10 12) # (2.47 # 10 -1) . Give your answer in standard form. …… [1]

Question

Expand and simplify. (x - 5) (x - 7) …… [2]

Question

Mrs Salaman gives her class two mathematics tests. The scatter diagram shows information about the marks each student scored. 70 60 50 40 Test 2 30 20 10 0 0 10 20 30 40 50 60 70 Test 1 (a) Write down the highest mark scored on test 1. …… [1] (b) Write down the type of correlation shown in the scatter diagram. …… [1] (c) Draw a line of best fit on the scatter diagram. [1] (d) Hamish scored a mark of 40 on test 1. He was absent for test 2. Use your line of best fit to find an estimate for his mark on test 2. …… [1]

Question

The length, l cm, of a sheet of paper is 29.7 cm, correct to the nearest millimetre. Complete this statement about the value of l. …… G l < …… [2] e2 - o # . 1 7 6

Question

Without using a calculator, work out 3 8 25 You must show all your working and give your answer as a fraction in its simplest form. …… [4]

Question

Lucia invests $5000 at a rate of 4.5% per year compound interest. Calculate the value of her investment at the end of 7 years. $ …… [2]

Question

y 6 L 5 4 3 2 1 –3 –2 –1 0 1 2 3 4 5 x –1 –2 –3 –4 –5 –6 (a) Find the equation of line L in the form y = mx + c. y = …… [2] (b) On the grid, draw a line that is perpendicular to line L. [1]

Question

R 65° B NOT TO SCALE 78° 37° Q 78° A C P Explain why triangle ABC is similar to triangle PQR. …… [2]