Mathematics 0580/12 May/June 2022: question paper and mark scheme

Question

Write the number six hundred and seven thousand five hundred and thirty-two in figures. …… [1]

Question

61 62 63 64 65 66 67 68 69 From the list of numbers, write down (a) a square number, …… [1] (b) a multiple of 13, …… [1] (c) a factor of 186, …… [1] (d) the prime numbers. …… [2]

Question

On the grid, draw a triangle that is congruent to triangle A. A [1]

Question

The stem-and-leaf diagram shows the journey time to school of some students. 1 3 5 7 9 9 2 3 4 5 3 0 3 4 6 7 4 2 4 5 8 Key: 1 3 represents 13 minutes Find (a) the number of students with a journey time of more than 35 minutes, …… [1] (b) the mode. …… min [1] 1

Question

This is Arania’s method to divide 213 by 12 without using a calculator. 2 1 213 ' 12 = 426 ' 25 2 = 852 ' 50 = 1704 ' 100 = 17.04 1 Show how to use Arania’s method to work out 135 ' 12 without using a calculator. 2 [2]

Question

Sammy records the favourite hot drink of some students. He draws a bar chart to show this information. 10 8 6 Frequency 4 2 1 0 Hot Coffee Tea chocolate Write down two different reasons why his bar chart is incorrect. 1. …… 2. …… [2]

Question

Put one pair of brackets into each calculation to make it correct. (a) 6 # 7 - 5 + 4 = 16 [1] (b) - 2 2 + 24 ' 12 - 4 = 2 [1]

Question

At noon, the temperature is 4 °C. At midnight, the temperature is - 9 °C. Work out the difference in temperature between noon and midnight. …… °C [1]

Question

Thibault records the number of cars of each colour in a car park. Colour Black White Silver Red Number of cars 8 5 4 3 (a) He draws a pie chart to show this information. Calculate the sector angle for the red cars. …… [2] (b) Two more white cars enter the car park and no cars leave the car park. When these two white cars are included in the results, will the sector angle for the red cars change? Without doing any further calculations, give a reason for your decision. …… because …… [1] 2 -1

Question

p=e o q =e o 8 4 Find (a) p - q , f p [1] (b) 6p. f p [1]

Question

Find the total surface area of a cuboid with length 8 cm, width 6 cm and height 3 cm. …… cm 2 [3]

Question

(a) The total cost of n bags of flour is $d. Write down an expression for the cost of one bag of flour. $ …… [1] (b) A bag of rice costs $r and a bag of almonds costs $a. Pedro buys x bags of rice and y bags of almonds. Write down an expression for the change that Pedro receives from a $20 note. $ …… [2]

Question

(a) Find the value of 68 # 153 . …… [1] 1 (b) Find the value of 6789 3 . Give your answer correct to 2 decimal places. …… [2]

Question

Write the ratio 5 # 10 -1 : 2 : 3 # 10 1 in its simplest form. …… : …… : …… [2]

Question

The nth term of a sequence is n 2 + 12 . (a) Find the first three terms of this sequence. …… , …… , …… [2] (b) Is 5196 a term in this sequence? Give a reason for your decision. …… because …… …… [2] 1 1 1

Question

33 % r 343 3 3 5.6 # 10 -7 3 13 Two of the numbers in this list are irrational. Put a ring around each of these irrational numbers. [1]

Question

9 x # 9 2 = 9 12 Find the value of x. x = …… [1]

Question

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of 27 - 2.3 2 . 845.4 # 0.048 …… [2]

Question

The length, l metres, of a piece of rope is 30.7 m, correct to 1 decimal place. Complete this statement about the value of l. …… G l 1 …… [2]

Question

(a) Simplify. 3 (2a - b) - b …… [2] (b) Factorise. x 2 - 8xy …… [1]

Question

Find the lowest common multiple (LCM) of 24 and 28. …… [2]

Question

North B NOT TO SCALE A The bearing of B from A is 059°. Work out the bearing of A from B. …… [2] 1 5

Question

Without using a calculator, work out 4 - 2 . 8 6 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]

Question

B NOT TO SCALE 53° A D C 5m 14 m The diagram shows two right-angled triangles, ABD and BCD. AD = 5m , DC = 14 m and angle BAD = 53° . Calculate BC. BC = …… m [4]