Mathematics 0580/11 October/November 2021: question paper and mark scheme

Question

Fraction Decimal Percentage 1 = 0.5 = 50 2 = 0.25 = 1 = = 20 5 …… Complete the table. [3]

Question

This shape is drawn on a 1 cm 2 grid. Find the perimeter of the shape. …… cm [1]

Question

Write down the order of rotational symmetry of this shape. …… [1]

Question

A B C E D Write down the letter of the shape that is congruent to the shaded shape. …… [1]

Question

The number of items that each of 22 people buy in a supermarket is shown in the stem-and-leaf diagram. 1 1 3 6 6 2 0 2 2 2 4 8 9 3 1 1 5 8 9 9 4 2 4 6 7 8 Key: 1 | 1 represents 11 items (a) Find the mode. …… [1] (b) Find the median. …… [1]

Question

(a) Change 2.7 kilometres into metres. …… m [1] (b) Find the number of hours in 5 days. …… h [1]

Question

Hank flies from Los Angeles to Shanghai. (a) The flight departs on Friday 22 July at 21 40. The flight takes 13 hours 35 minutes. The local time in Shanghai is 15 hours ahead of the local time in Los Angeles. Find the day, date and time in Shanghai when Hank’s flight arrives. Day …… , Date …… , Time …… [3] (b) The cost of the flight is $920. The exchange rate is $1 = 6.87 Chinese yuan. Find the cost of the flight in yuan. …… yuan [1]

Question

P = 2n - 3t Find the value of n when P = 9 and t = 8 . n = …… [3]

Question

The scale drawing shows the positions of two towns, P and Q. The scale is 1 cm represents 4 km. North Q North P Scale: 1 cm to 4 km (a) Find the actual distance between town P and town Q. …… km [2] (b) Measure the bearing of town Q from town P. …… [1] (c) Town X is 28 km from town P on a bearing of 140°. On the scale drawing, mark the position of town X. [2]

Question

Chung invests $2460 at a rate of 3.5% per year simple interest. Calculate the total amount of his investment at the end of 4 years. $ …… [3]

Question

125 people taste a new drink. Each person gives a score out of 5. The bar chart shows the results. 40 30 Number of people 20 10 0 0 1 2 3 4 5 Score Calculate the mean score. …… [3]

Question

(a) 7, 13, 19, 25, … Find the next term in this sequence. …… [1] (b) 30, 26, 22, 18, … Write down the term to term rule for this sequence. …… [1] (c) -1, 1, 3, 5, … Find the nth term for this sequence. …… [2]

Question

A circular disc has circumference 250 cm. Calculate the radius of the disc. …… cm [2]

Question

(a) Factorise completely. 18x 2 - 12x …… [2] (b) Expand and simplify. (x + 5) (x - 3) …… [2]

Question

Sophie buys 73 books for her school. Each book costs $21.95 . (a) By rounding each number correct to 1 significant figure, estimate the total cost of these books. $ …… [1] (b) Write down whether this estimate is greater or less than the exact cost. Explain how you decide, without working out the exact cost. …… because …… …… [1]

Question

Calculate the size of one interior angle of a regular octagon. …… [2]

Question

The table shows the relative frequency of the games won by a football team. Result of game won lost drawn Relative frequency 0.1 The number of games lost is twice the number of games drawn. Complete the table. [3] 5 2

Question

Without using a calculator, work out 1 + . 6 5 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]

Question

y 8 6 L 4 2 –3 –2 –1 0 1 2 3 x –2 –4 Find the equation of line L. Give your answer in the form y = mx + c . y = …… [3]

Question

There are 50 families in a village. C = {families who own a car} B = {families who own a bicycle} 23 families own a car. 10 families own a car and a bicycle. 6 families own no cars and no bicycles. (a) Complete the Venn diagram. C B [2] (b) Find n (C , B) . …… [1]

Question

45° NOT TO 4.8 cm SCALE The diagram shows a sector of a circle with radius 4.8 cm and sector angle 45°. Calculate the area of the sector. …… cm 2 [2]