Mathematics 0580/12 May/June 2020: question paper and mark scheme

Question

(a) Write in figures the number fifty‑three thousand and thirty‑five. …… [1] (b) Write 8379 correct to the nearest hundred. …… [1]

Question

(a) Write down the mathematical name for this type of angle. …… [1] (b) NOT TO B SCALE A O A and B lie on a circle, centre O. (i) Write down the mathematical name for line AB. …… [1] (ii) OA = 8cm Write down the length of the diameter of this circle. …… cm [1]

Question

Write down the reciprocal of 10. …… [1]

Question

(a) Find the value of 196. …… [1] (b) Calculate 15 3 . …… [1]

Question

Put one pair of brackets in each statement to make it correct. (a) 16 ' 8 + 4 # 2 = 1 [1] (b) 16 ' 8 + 4 # 2 = 12 [1]

Question

The 840 students in a school are asked if they want a change of school uniform. The results are shown in the pie chart. Do not know 71° Yes 114° 175° No Show that the number of students who said Yes is 266. [1]

Question

Change 5.3 kilometres into metres. …… m [1]

Question

The scale drawing shows the positions of town A and town B. The scale is 1 cm represents 12 kilometres. A B Scale: 1 cm to 12 km (a) Find the actual distance between town A and town B. …… km [2] (b) Town C is 72 km from town A and 96 km from town B. On the scale drawing, construct the position of town C. [3]

Question

Write down the order of rotational symmetry of the diagram. …… [1]

Question

North NOT TO SCALE North A B The bearing of B from A is 105°. Find the bearing of A from B. …… [2]

Question

Write down (a) a square number greater than 10, …… [1] (b) an irrational number. …… [1]

Question

y 4 B 3 2 A C 1 –4 –3 –2 –1 0 x 1 2 3 4 –1 –2 –3 –4 Points A, B and C are shown on the grid. (a) Write down the coordinates of point C. ( …… , …… ) [1] (b) On the grid, plot point D so that ABCD is a parallelogram. [1] -4 (c) On the grid, plot point E so that EA = e o. [2] 3

Question

The height, h metres, of a tower is 76.3 m, correct to 1 decimal place. Complete this statement about the value of h. …… G h 1 …… [2]

Question

Rovers, United and City are football teams. Rovers scored x goals. United scored 8 goals more than Rovers. City scored 3 goals less than twice the number of goals scored by Rovers. The three teams scored a total of 117 goals. Write down and solve an equation to find the value of x. x = …… [4]

Question

11 cm NOT TO SCALE 5 cm 7 cm Calculate the area of the trapezium. …… cm 2 [2]

Question

(a) A B On the Venn diagram, shade the region A + B . [1] (b)  = {1, 2, 3, 4, 5, 6} P = {x : x is an even number} Q = {x : x is a prime number} P Q Complete the Venn diagram. [2]

Question

Write 2 - 4 as a decimal. …… [1] 3 11

Question

Without using a calculator, work out 1 - . 4 12 You must show all your working and give your answer as a fraction in its simplest form. …… [3]

Question

Roberto buys a toy for $5.00 . He then sells it for $4.60 . Calculate his percentage loss. …… % [2]

Question

Simplify 8t 8 ' 4t 4 . …… [2]

Question

(a) Write 45 000 in standard form. …… [1] (b) Write 2.06 # 10 - 2 as an ordinary number. …… [1]

Question

(a) Write down all the factors of 28. …… [2] (b) Write 54 as a product of its prime factors. …… [2] (c) Find the lowest common multiple (LCM) of 48 and 60. …… [2]

Question

y 12 L 10 8 6 4 2 –2 –1 0 1 2 3 4 5 6 x –2 –4 (a) Find the gradient of line L. …… [2] (b) Write down the equation of line L in the form y = mx + c . y = …… [1]