Mathematics 0580/13 October/November 2022: question paper and mark scheme

Question

Complete this shopping bill. 2.25 kg apples at $2.80 per kg = $ …… 3.2 kg carrots at $0.65 per kg = $ …… Total = $ …… [3]

Question

Sunita is 3 years and 4 months old. Work out her age in months. …… months [1]

Question

120 121 149 164 216 From this list, write down (a) a square number, …… [1] (b) a cube number. …… [1]

Question

The diagram shows a shape with four sides of equal length. (a) Write down the mathematical name of this shape. …… [1] (b) Write down the order of rotational symmetry of this shape. …… [1]

Question

The stem-and-leaf diagram shows the marks scored by each of 35 students in a science test. 2 7 8 8 9 3 0 2 2 4 5 7 8 9 4 1 1 2 3 4 5 7 8 9 9 5 0 2 3 5 5 5 6 7 7 8 6 1 2 4 Key: 2 7 represents 27 (a) Find the range. …… [1] (b) Find the mode. …… [1] (c) Find the median. …… [1]

Question

Marco starts work at 20 45 and finishes at 02 08 the next day. Find the length of time, in hours and minutes, he works. …… h …… min [1]

Question

Jo counts the number of each type of nut in a bag. The pie chart shows the results. Peanuts Hazelnuts 108° 120° Almonds Brazil nuts (a) Measure the size of the angle for the peanuts. …… [1] (b) What fraction of the nuts are almonds? Give your answer in its simplest form. …… [1] (c) There are 45 hazelnuts in the bag. Calculate the total number of nuts in the bag. …… [2]

Question

Calculate. 4.8 15 + 2.2 …… [1]

Question

Nerina invests $5400 at a rate of r% per year simple interest. At the end of 3 years, the total interest earned is $429.30 . Calculate the value of r. r = …… [2]

Question

a° a° a° a° a° Give the geometrical reason why the value of a is 72. …… [1]

Question

(a) Expand the brackets and simplify. (i) 3 (2d - 3) + 4 (d + 1) …… [2] (ii) (x - 4) (x - 3) …… [2] (b) Factorise 8p - 3pq . …… [1] 5 2

Question

Without using a calculator, work out - . 7 3 You must show all your working and give your answer as a fraction in its simplest form. …… [2] 13 x is an integer where x 2- 4 and x G 2 . Write down all the possible values of x. …… [2]

Question

In the question paper above.

Question

y L 0 x Explain why the equation of line L in the diagram cannot be y = x + 2 . …… [1]

Question

8.6 cm NOT TO 7.5 cm SCALE 14.2 cm Work out the area of the trapezium. …… cm 2 [2]

Question

The circumference of a circular pond is 130 cm. Calculate the radius of the pond. …… cm [2]

Question

Write 0.007 in standard form. …… [1]

Question

NOT TO 14 cm SCALE h cm 10 cm The diagram shows a right-angled triangle. (a) Calculate the value of h. h = …… [3] (b) Find the perimeter of this triangle. …… cm [1]

Question

(a) A B Use set notation to describe the shaded region in the Venn diagram. …… [1] (b) X Y c s p a d g m h b f e (i) List the elements of set Y. …… [1] (ii) Write down n (X , Y ). …… [1]

Question

Solve the simultaneous equations. 3x - 2y = 21 5x + 2y = 51 x = …… y = …… [2]

Question

56° NOT TO 21.8 cm SCALE x cm The diagram shows a right-angled triangle. Calculate the value of x. x = …… [2]

Question

(a) 120 = 2 m # 3 # 5 Find the value of m. m = …… [1] (b) One traffic light changes to red every 120 seconds. Another traffic light changes to red every 144 seconds. Both change to red at 10 00. Find the time at which they next change to red together. …… [3] m

Question

Make m the subject of the formula q= +r. 7 m = …… [2] Question 24 is printed on the next page.

Question

NOT TO SCALE (7x + 44)° (x + 8)° The diagram shows two sides of a regular polygon. The interior angle of the polygon is (7x + 44)° and the exterior angle is (x + 8)° . Find the number of sides of this polygon. …… [4]