Mathematics 0580/12 October/November 2021: question paper and mark scheme

Question

(a) Write the number four hundred thousand and four hundred in figures. …… [1] (b) Write 60 287 correct to the nearest ten. …… [1]

Question

Find the value of 345.96. …… [1]

Question

Write down the mathematical name for this type of angle. …… [1]

Question

(a) Write 9% as a decimal. …… [1] (b) Write 0.6 as a fraction in its simplest form. …… [1]

Question

Write down the reciprocal of 20. …… [1]

Question

(a) Write down the order of rotational symmetry of a rectangle. …… [1] (b) Draw all the lines of symmetry on this equilateral triangle. [2]

Question

In triangle ABC, AB = 7 cm and BC = 5.6 cm. Using a ruler and compasses only, construct triangle ABC. Leave in your construction arcs. The line AC has been drawn for you. A C [2]

Question

The temperature at midnight is -8.5 °C. The temperature at 11 am is -1 °C. Work out the difference between the temperature at midnight and the temperature at 11 am. …… °C [1]

Question

Change 0.3 metres into centimetres. …… cm [1]

Question

Write down the mathematical name of this polygon. …… [1]

Question

NOT TO 3 cm SCALE 2.5 cm 5 cm The diagram shows a cuboid. On the 1cm 2 grid, draw an accurate net of this cuboid. One face has been drawn for you. [3]

Question

The stem-and-leaf diagram shows the age, in years, of each of 15 women. 3 1 5 8 9 4 1 1 2 3 5 6 9 5 0 2 3 8 Key: 3 | 1 represents 31 years Complete these statements. The modal age is …… The median age is …… The percentage of women that are older than 51 years is …… %. [3]

Question

The price of a coat is 84.60 euros. Find the price of the coat in dollars when the exchange rate is 1 euro = $1.15 . $ …… [1]

Question

Work out. 3 -5 (a) e o + e o -2 7 f p [1] 3 (b) 5 e o -1 f p [1]

Question

Change 2.15 hours into minutes. …… min [1]

Question

(a) Solve. 7x + 18 = 4 x = …… [2] (b) 7 y # 7 6 = 7 18 Find the value of y. y = …… [1]

Question

These are the first four terms of a sequence. 3 10 17 24 (a) Write down the next term. …… [1] (b) Write down the term to term rule. …… [1] (c) Find the nth term. …… [2] (d) Find the 40th term. …… [2]

Question

A B 86° x° NOT TO SCALE C 58° D Triangle ABC and triangle ACD are isosceles. Angle DAB = 86° and angle ADC = 58°. Find the value of x. x = …… [3]

Question

Angelique rents a room for a party. The cost of renting the room is $15.50 for the first hour and then $7.25 for each additional hour. She pays $95.25 in total. Work out the total number of hours she rents the room for. …… hours [3] 1 7 1

Question

Without using a calculator, work out ' + . 3 6 5 You must show all your working and give your answer as a fraction in its simplest form. …… [4]

Question

Work out the size of one interior angle of a regular 10-sided polygon. …… [2]

Question

In a group of 650 people, 117 are left-handed. Find the expected number of left-handed people in a group of 5000 people. …… [2]

Question

(a) At an airport, 216 people are asked whether they speak English (E ) or French (F ). 125 speak English. 43 speak both English and French. 61 do not speak English or French. E F (i) Complete the Venn diagram. [2] (ii) Find n(F ). …… [1] (b) A B On this Venn diagram, shade the region A + B . [1] Question 24 is printed on the next page.

Question

Yasmin has 4 white flowers, 3 red flowers and x yellow flowers. She picks a flower at random. 1 The probability that it is white is . 5 Find the probability that it is yellow. …… [4]