Mathematics 0580/12 May/June 2024: question paper and mark scheme

Question

Write the number 31 072 000 in words. …… [1]

Question

C B x A (a) Measure the size of angle x. …… [1] (b) Measure the length of line AB in millimetres. …… mm [1] (c) Mark the midpoint, M, of line AB. [1] (d) Draw a line through the point M that is perpendicular to line AB. [1]

Question

Find the value of the reciprocal of 0.4 . …… [1]

Question

Write these numbers in order, starting with the smallest. 6 11 8.6 # 10 -1 86.5% 7 13 …… 1 …… 1 …… 1 …… [2] smallest

Question

(a) Draw all the lines of symmetry on this quadrilateral. [2] (b) Write down the mathematical name of a quadrilateral that has rotational symmetry of order 2. …… [1]

Question

The temperature at midnight is -4 °C. The temperature at noon is 25 °C. Work out the difference between these two temperatures. …… °C [1]

Question

A gardener charges $6.55 for each hour he works plus a fixed charge of $15.50 . Calculate the total amount he charges when he works for 4 hours. $ …… [2]

Question

Jonah has $750. 1 He spends of this money on travel, and some of this money on food. 4 He now has $437.50 . Work out the fraction of the $750 he spends on food. …… [3]

Question

A delivery driver records the number of pizzas she delivers each month for one year. 48 44 39 28 57 22 36 41 54 57 49 52 (a) Complete the stem-and-leaf diagram. 2 3 4 5 Key: 4 q8 represents 48 pizzas [2] (b) Find the median. …… [1] 5 6

Question

a=e o b =e o -7 -7 Work out a - b . f p [1]

Question

These are the first four terms of a sequence. 23 17 11 5 (a) Write down the next two terms. …… , …… [2] (b) Find the nth term. …… [2]

Question

Write 0.04628 correct to 2 significant figures. …… [1]

Question

A B On the Venn diagram, shade the region A , B . [1]

Question

Factorise completely. 20x - 90x 2 …… [2]

Question

Describe the type of correlation between the speed of runners and the time taken to complete a race. …… [1]

Question

A circle has an area of 36r cm 2 . (a) Find the circumference of the circle. Give your answer in terms of r. …… cm [3] (b) The circle forms the base of a cylinder with height h cm. The volume of the cylinder is 540r cm 3 . Work out the value of h. h = …… [2]

Question

Write 174 000 in standard form. …… [1]

Question

NOT TO SCALE 14 cm x° 8.5 cm The diagram shows a right-angled triangle. Calculate the value of x. x = …… [2] 1 7

Question

Without using a calculator, work out 2 ' 1 . 4 8 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]

Question

Expand and simplify. (x - 4) (x - 7) …… [2]

Question

57 ' 5 x = 53 Find the value of x. x = …… [1]

Question

The length, l metres, of a piece of material is 4.5 m, correct to the nearest 10 cm. Complete this statement about the value of l. …… G l 1 …… [2] 23 % = {x: x is a natural number less than 12} S = {1, 4, 7, 10} T = {1, 3, 5, 7, 9, 11} S T 10 2 8 Complete the Venn diagram. [2]

Question

In the question paper above.

Question

In a class of 30 students, 13 travel to school by bus. There are 570 students in the school. Find the expected number of students in the school who travel by bus. …… [2] Question 25 is printed on the next page.

Question

D NOT TO SCALE 21.2 m 48° A B C 16.5 m The diagram shows a flagpole, BD, held by two ropes, AD and CD. ABC is a straight line and angle ABD = 90°. AD = 21.2 m, AB = 16.5 m and angle BCD = 48°. (a) Show that the height of the flagpole BD is 13.3 m, correct to 1 decimal place. [3] (b) Calculate the length of the rope CD. CD = …… m [3]