Mathematics 0580/13 May/June 2020: question paper and mark scheme

Question

Write six hundred and seven thousand and twenty-one in figures. …… [1]

Question

A On the grid, draw a shape that is congruent to shape A. [1] 68 + 18

Question

Edelgard tries to calculate . 9-5 (a) She types into her calculator 68 + 18 ' 9 - 5. Explain why this does not give Edelgard the correct answer. …… [1] 68 + 18 (b) Work out the correct answer to . 9-5 …… [1]

Question

A train from Woodton to Northley takes 6 hours 25 minutes. The train leaves Woodton at 19 46. Work out the time the train arrives at Northley. …… [1]

Question

Write down the number that is 7 more than -38. …… [1]

Question

Simplify. 5w + 3h - 7w + 8h …… [2]

Question

(a) Write down the mathematical name of a quadrilateral that has • rotational symmetry of order 1 and • only one line of symmetry. …… [1] (b) Reflect the shape in line L. L [2]

Question

B x° NOT TO 135° SCALE A 72° D y° 88° C In the diagram, AB is parallel to CD. (a) Find the value of x. Give a geometrical reason for your answer. x = …… because …… [2] (b) Work out the value of y. Give a geometrical reason for your answer. y = …… because …… [2]

Question

32 33 34 35 36 37 38 39 From this list of numbers, write down (a) a multiple of 8, …… [1] (b) a square number, …… [1] (c) a prime number. …… [1]

Question

(a) A circular garden has diameter 11.4 m. Draw the garden accurately, using a scale of 1 cm represents 1.5 m. Scale: 1 cm to 1.5 m [2] (b) On a map, the distance between two towns is 9.6 cm. The scale of the map is 1 : 50 000. Work out the actual distance between the two towns in kilometres. …… km [2]

Question

A NOT TO SCALE 32° B C Triangle ABC is isosceles. Angle ABC = 32° and AB = AC. Find angle BAC. Angle BAC = …… [2]

Question

A bag contains yellow balls, pink balls and green balls only. The ratio yellow balls : pink balls : green balls = 7 : 3 : 5. There are 42 yellow balls in the bag. Work out the total number of balls in the bag. …… [2]

Question

On any day, the probability that Marcus will get a seat on the school bus is 0.93 . (a) Write down the probability that he will not get a seat on the school bus today. …… [1] (b) There are 200 school days in a year. Work out the expected number of days in a year that Marcus will not get a seat. …… [1]

Question

Simplify. (a) p2 # p4 …… [1] (b) m 15 ' m 5 …… [1] (c) (k 3) 5 …… [1]

Question

y 3 2 1 B -6 -5 -4 -3 -2 -1 0 1 2 3 4 x -1 -2 -3 A -4 -5 -6 Describe fully the single transformation that maps shape A onto shape B. …… [3] 1 2

Question

Without using a calculator, work out 3 - 2 . 4 3 You must show all your working and give your answer as a fraction in its simplest form. …… [3]

Question

A chef buys some cheese from France. 200 g of cheese costs 3.45 euros. The exchange rate is $1 = 0.84 euros. Work out the maximum mass of cheese the chef can buy with $150. Give your answer in kilograms, correct to 1 decimal place. …… kg [4]

Question

Sonia wants to invest $5000 for 6 years. Bank A pays compound interest at a rate of 3.5% per year. Bank B increases the $5000 by 22% at the end of 6 years. Which bank will give Sonia the most money at the end of 6 years and by how much? You must show all your working. Bank A Bank B Bank …… will give $ …… more money. [5]

Question

By rounding each number correct to 1 significant figure, estimate the value of 71 # 32.4 . 4.8 2 You must show all your working. …… [2]

Question

Des thinks of two numbers. The sum of his two numbers is -6. The difference between his two numbers is 62. Find the two numbers. …… and …… [4]

Question

A solid cylinder has radius 3 cm and height 4.5 cm. Calculate the total surface area of the cylinder. …… cm2 [4]