Mathematics 0580/12 February/March 2024: question paper and mark scheme

Question

Write the number thirty thousand and fifty in figures. …… [1]

Question

Write 5926 correct to the nearest 10. …… [1]

Question

T S Mark the midpoint of the line ST. [1] 2

Question

(a) Shade of this shape. 9 [1] 2 (b) Write as a percentage. 9 …… % [1]

Question

A night bus runs from 21 50 to 05 18 the next day. Work out the number of hours and minutes that the night bus runs. …… h …… min [1]

Question

(a) 34 55 76 83 111 121 From this list of numbers, write down all the multiples of 11. …… [1] (b) Zaid has a non-calculator method for working out if a number is a multiple of 11. He shows his method for the number 919 281. Subtract and add alternately the digits in the number. 9 - 1 + 9 - 2 + 8 - 1 = 22 Check if the answer is a multiple of 11. 22 = 2 # 11 As 22 is a multiple of 11 then 919 281 is a multiple of 11. Show that the number 918 271 937 is a multiple of 11 by using Zaid’s method. [2]

Question

The range of eight numbers is 31. These are seven of the numbers. 28 36 42 24 38 16 21 Find the two possible values of the eighth number. …… or …… [2]

Question

Calculate 5.76 + 2.8 3 . …… [1]

Question

Simplify 4m + 7k - m + 3k . …… [2]

Question

-9 -7 -3 -1 0 2 5 6 8 From this list of numbers, find (a) the highest number possible from the product of two of the numbers …… [1] (b) the lowest number possible from the product of three of the numbers. …… [1]

Question

Sarah records the number of people who play golf on each of 14 days. 28 46 54 71 70 65 49 50 64 77 68 72 45 58 (a) Complete the stem-and-leaf diagram. 2 3 4 5 6 7 Key : 2 8 represents 28 [2] (b) Find the median. …… [1]

Question

10 cm NOT TO SCALE 4 cm 5 cm The diagram shows the net of a cuboid. (a) Work out the surface area of this cuboid. …… cm 2 [2] (b) Work out the volume of this cuboid. …… cm 3 [2]

Question

There are 20 cars in a car park and 3 of the cars are blue. (a) James wants to draw a pie chart to show this information. Find the angle of the sector for the blue cars in this pie chart. …… [2] (b) One of the 20 cars is picked at random. Find the probability that this car is not blue. …… [1]

Question

Factorise. 3x 3 - 7xy …… [1]

Question

y 5 B 4 3 2 A 1 – 4 –3 –2 –1 0 1 2 3 4 5 6 7 8 x Write AB as a column vector. AB = f p [1]

Question

Exchange rates 1 euro = 1.05 dollars 1 rupee = 0.013 dollars Vani changes x euros into dollars. She then changes the dollars into 17 850 rupees. Calculate the value of x. x = …… [3]

Question

The line y = 2x - 5 intersects the line y = 3 at the point P. Find the coordinates of the point P. ( …… , ……) [2]

Question

The diagram shows two shapes, A and B, on a grid. y 4 3 2 A 1 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 x –1 –2 –3 –4 –5 B –6 –7 –8 (a) Describe fully the single transformation that maps shape A onto shape B. …… [3] (b) On the grid, draw the image of shape A after a reflection in the line x =-1. [2]

Question

NOT TO SCALE 7 cm R cm The diagram shows a small circle with radius 7 cm and a large circle with radius R cm. The area of 16 small circles is the same as the area of one large circle. Calculate the value of R. R = …… [3]

Question

(a) The nth term of a sequence is n 2 - 3. Find the first three terms of this sequence. …… , …… , …… [2] (b) These are the first five terms of a different sequence. 2 9 16 23 30 Find the nth term of this sequence. …… [2]

Question

The length, l m, of a rope is 18.7 m, correct to the nearest 10 centimetres. Complete this statement about the value of l. …… G l 1 …… [2]

Question

6.5 # 10 19 # n = 5.46 # 10 23 Calculate the value of n. Give your answer in standard form. n = …… [2]

Question

B E NOT TO SCALE h cm 97.5 cm A 118.9 cm C D 159.9 cm F Triangle ABC is mathematically similar to triangle DEF. Calculate the value of h. h = …… [2] 1 5

Question

Without using a calculator, work out 1 - . 4 6 You must show all your working and give your answer as a fraction in its simplest form. …… [3]

Question

The highest common factor (HCF) of two numbers is 6. The lowest common multiple (LCM) of the two numbers is 90. Both numbers are greater than 6. Work out the two numbers. …… and …… [2]