Mathematics 0580/12 February/March 2022: question paper and mark scheme

Question

Write the number sixteen thousand and thirty-seven in figures. …… [1]

Question

Write down the six factors of 28. …… , …… , …… , …… , …… , …… [2]

Question

Write 9876 correct to the nearest thousand. …… [1]

Question

The pictogram shows the number of different coloured cars a garage sells in a month. Yellow Red White Silver Key: = 12 cars Work out how many more white cars than red cars the garage sells. …… [1] 5

Question

Write down the reciprocal of . 6 …… [1]

Question

This is Edha’s method to work out 99 # 27 without using a calculator. 99 # 27 = 100 # 27 - 27 = 2700 - 27 = 2673 Show how to use Edha’s method to work out 99 # 68 without using a calculator. [2]

Question

(a) Write 5.26 pm using the 24-hour clock. …… [1] (b) A journey starts at 21 15 one day and ends at 04 33 the next day. Calculate the time taken, in hours and minutes. …… h …… min [1] (c) Change 10 260 seconds into hours. …… hours [2]

Question

(a) Measure the marked angle. …… [1] (b) 9.5 cm 8 cm NOT TO SCALE 12 cm Using a ruler and compasses only, construct this triangle. Leave in your construction arcs. The side of length 12 cm has been drawn for you. [2]

Question

Put one pair of brackets into this calculation to make it correct. 150 - 17 - 5 # 2 2 = 33 [1]

Question

Work out 5 # 6 2 . Give your answer correct to 2 decimal places. …… [2]

Question

Joe thinks of a positive number, n. He squares n, then adds it to - 24 . The answer is 25. Work out n. n = …… [2]

Question

Indrani and Jagad share some money in the ratio Indrani : Jagad = 7 : 9. Calculate the percentage of the money that Indrani receives. …… % [2]

Question

The equation of a line is y = 5x + 7 . (a) Write down the gradient of this line. …… [1] (b) (i) Find the coordinates of the point where this line crosses the y-axis. ( …… , …… ) [1] (ii) Find the coordinates of the point where this line crosses the x-axis. ( …… , …… ) [2]

Question

y 6 5 4 3 A 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 x –1 –2 –3 –4 –5 On the grid, draw the image of (a) triangle A after a reflection in the y-axis, [1] -3 (b) triangle A after a translation by the vector e o. [2] -4

Question

Write 0.0001 as a power of 10. …… [1]

Question

As the temperature increases, people eat more ice cream. What type of correlation does this statement describe? …… [1]

Question

Sanjay invests $700 in an account paying simple interest at a rate of 2.5% per year. Calculate the value of his investment at the end of 6 years. $ …… [3]

Question

These are the first four terms of a sequence. 1 23 45 67 (a) Write down the next two terms. …… , …… [2] (b) Find the nth term. …… [2]

Question

Simplify. (a) 5f + 7g - 8f + 2g …… [2] (b) h 2 # h 5 …… [1] (c) 16x 2 # 5y 0 …… [2]

Question

Balavan has n marbles. n He gives his sister marbles. 5 n He gives his cousin marbles. 2 Write an expression, in terms of n, for the number of marbles that Balavan has now. Give your answer in its simplest form. …… [2]

Question

(a) A B Use set notation to describe the shaded region. …… [1] (b) C D b m h k f j p g y Find n(C). …… [1] 1 11

Question

Without using a calculator, work out 2 # . 3 14 You must show all your working and give your answer as a mixed number in its simplest form. …… [3]

Question

(a) Expand and simplify. (x + 3) (x - 5) …… [2] (b) Renuka’s teacher asks her to factorise completely 8x 2 - 12x . Renuka writes 2x (4x - 6) as her answer. Explain why she does not score full marks and give the correct answer. Reason …… Correct answer …… [2]

Question

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