Mathematics 0580/11 October/November 2024: question paper and mark scheme

Question

Jacob is 10 years 8 months old. Amy is 15 months younger than Jacob. Find how old Amy is. …… years …… months [1]

Question

Change 6.7 kilometres to metres. …… m [1]

Question

x (a) Measure angle x. Angle x = …… [1] (b) Write down the mathematical name for this type of angle. …… [1]

Question

A concert starts at 19 50 and finishes 2 hours 42 minutes later. Work out the time the concert finishes. …… [1]

Question

Use one of these symbols 1, 2 or = to make each statement true. 2 …… 0.2861 7 99 …… 11% 900 1 3 …… 4 0 [2]

Question

The stem-and-leaf diagram shows the number of cars sold each day by a company. 1 0 3 4 5 6 7 2 1 2 2 4 7 7 7 3 0 0 1 2 2 5 6 8 4 0 1 4 6 5 1 2 4 Key: 3 | 2 represents 32 (a) Find the range. …… [1] (b) Find the mode. …… [1] 1

Question

Find the reciprocal of 1 . 4 …… [1]

Question

NOT TO 28° SCALE 138° 49° y° The diagram shows a quadrilateral. Find the value of y. y = …… [2]

Question

Edith invests $3000 in a savings account. The account pays simple interest at a rate of 2.6% per year. Calculate the total interest earned during the 3 years. $ …… [2]

Question

(a) These are the first four terms of a sequence. 10 16 22 28 Write down the next term in the sequence. …… [1] (b) The term to term rule for another sequence is multiply by 3 and subtract 1. The fourth term in the sequence is 68. Find the third term in the sequence. …… [2]

Question

The circumference of a wheel is 198.55 cm. Calculate the diameter of the wheel. Give your answer in millimetres. …… mm [3]

Question

The grid shows half of a shape which has a line of symmetry, L. Complete the shape. L [2]

Question

(a) Find the value of 6c + 7d when c = 3 and d =- 4 . …… [2] (b) Solve. 6x + 8 = 11x + 4 x = …… [2]

Question

Write 34 as a percentage of 80. …… % [1]

Question

A bus stops 25 times on a journey. The table shows the number of people who get on the bus at each stop. Number of people Frequency 0 1 1 6 2 7 3 4 4 5 5 2 Calculate the mean. …… [3]

Question

w cm NOT TO SCALE 8 cm 12 cm The diagram shows a trapezium with parallel sides of length 12 cm and w cm. The height of the trapezium is 8 cm. The area of the trapezium is 78 cm 2 . Find the value of w. w = …… [2]

Question

A distance, d metres, measures 34.6 m, correct to the nearest 0.1 m. Complete this statement about the value of d. …… G d 1 …… [2]

Question

The diagram shows a rectangle and two points, P and C, on a 1 cm 2 grid. y 9 P 8 7 6 C 5 4 3 2 1 0 1 2 3 4 5 6 7 8 x (a) Write down the coordinates of point C. ( …… , …… ) [1] (b) The rectangle is enlarged by scale factor 2 with centre of enlargement point C. Find the coordinates of the image of point P. ( …… , …… ) [2] (c) Find the area of the enlarged rectangle. …… cm 2 [1]

Question

Jo asks some people if they own a car (C) and if they own a motorbike (M). 86 people own a car. 39 people own a motorbike. 7 people do not own a car and do not own a motorbike. C M 74 (a) Complete the Venn diagram. [2] (b) Find the total number of people that Jo asks. …… [1] (c) Write down n (C + M) . …… [1]

Question

Josh buys a car for $7800 and sells it for $5265. Calculate his percentage loss. …… % [2]

Question

(a) Factorise. 28x - 35 …… [1] r (b) Make r the subject of the formula T = -p . 4 r = …… [2]

Question

Solve the simultaneous equations. You must show all your working. 5x + 6y = 9 3x - 2y = -17 x = …… y = …… [3] Questions 23 and 24 are printed on the next page. 1 4

Question

Without using a calculator, work out 5 - 3 . 3 7 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]

Question

NOT TO `x + 132j ° SCALE x° The diagram shows part of a regular polygon. The interior angle of the polygon is 132° larger than the exterior angle. Calculate the number of sides of this polygon. …… [3]