Mathematics 0580/12 February/March 2020: question paper and mark scheme

Question

(a) Write 3.25 pm in the 24-hour clock. …… [1] (b) Work out the time 7 hours and 36 minutes before 13 26. …… [1]

Question

A B (a) Measure the length of the line AB in millimetres. …… mm [1] (b) AB is the diameter of a circle. Draw this circle. [2]

Question

(a) The temperature on Monday was -7 °C. The temperature on Tuesday was 5 °C lower than on Monday. The temperature on Wednesday was 8 °C higher than on Tuesday. Find the temperature on Wednesday. …… °C [2] (b) Kyra has a faulty thermometer. It always shows the temperature as 2 °C higher than the actual temperature. The temperature on the thermometer is T °C. Write an expression, in terms of T, for the actual temperature. …… °C [1]

Question

NOT TO SCALE 124° 107° x° Work out the value of x. Give a geometrical reason for your answer. x = …… because …… [2]

Question

The diagram shows a fair 8-sided spinner. The numbers on the spinner are 3, 4, 4, 7, 7, 7, 8 and 9. (a) The spinner is spun once. Write down the probability that the spinner lands on (i) the number 7, …… [1] (ii) a number greater than 2. …… [1] (b) The spinner is spun 160 times. Work out the expected number of times the spinner lands on the number 7. …… [1]

Question

The month of July has 31 days. Calculate the number of seconds in the month of July. …… seconds [2]

Question

A cuboid has length 3 cm, width 2 cm and height 1 cm. On the 1 cm2 grid, draw a net of the cuboid. [3]

Question

(a) Write down the reciprocal of 40. …… [1] (b) Calculate 3 40 . Give your answer correct to 4 decimal places. …… [2] (c) Write the number 40 in standard form. …… [1]

Question

(a) Write down the gradient of the line y = 2x - 3. …… [1] (b) Complete the table of values for y = 2x - 3. x -2 0 3 y [2] (c) On the grid, draw the graph of y = 2x - 3 for - 2 G x G 3. y 4 2 –2 –1 0 1 2 3 x –2 –4 –6 –8 [1]

Question

Point A has coordinates (6, 4) and point B has coordinates (2, 7). Write AB as a column vector. AB = f p [1]

Question

The number of people swimming in a pool is recorded each day for 12 days. 24 28 13 38 15 26 45 21 48 36 18 38 (a) Complete the stem-and-leaf diagram. 1 2 3 4 Key: 1 3 represents 13 swimmers [2] (b) Find the median number of swimmers. …… [1]

Question

A bag contains red marbles, green marbles and blue marbles only. The ratio of the number of marbles of each colour is red : green : blue = 12 : 5 : 2. There are 112 more red marbles than green marbles. Work out the number of blue marbles. …… [2] 15 4

Question

Without using a calculator, work out ' . 28 7 You must show all your working and give your answer as a fraction in its simplest form. …… [3]

Question

NOT TO 8.5 cm SCALE 10.8 cm The diagram shows a right-angled triangle. (a) Calculate the area. …… cm2 [2] (b) Calculate the perimeter. …… cm [3]

Question

Riya invests $30 000 at a rate of 2.5% per year compound interest. Calculate the value of her investment at the end of 7 years. Give your answer correct to the nearest dollar. $ …… [3]

Question

(a) Simplify. 5 # x0 …… [1] (b) 9 12 ' 9 w = 9 4 Find the value of w. w = …… [1]

Question

A NOT TO SCALE 4.6 m 37° B C The diagram shows a right-angled triangle ABC. Calculate AB. AB = …… m [2]

Question

(a) Factorise completely. 3x 2 - 12xy …… [2] (b) Expand and simplify. (m - 3) (m + 2) …… [2]

Question

A car travels at a constant speed of 45 kilometres per hour for 5 minutes. Each wheel of the car has radius 25 centimetres. Calculate the number of complete revolutions that a wheel makes during the 5 minutes. …… [5]