Mathematics 0580/32 February/March 2025: question paper and mark scheme

Question

Taj is 3 years old. 4 Work out her age in months. …… months [1]

Question

Div has $25 to buy some cups which cost $4.25 each. Calculate the maximum number of cups he can buy and the change he receives. Number of cups …… Change $ …… [3]

Question

A (a) Measure angle A. …… [1] (b) Write down the mathematical name of this type of angle. …… [1]

Question

30 31 32 33 34 35 36 37 38 39 From this list, write down the number that is (a) a multiple of 13 …… [1] (b) a factor of 140 …… [1] (c) the largest prime number …… [1] (d) divisible by an even cube number …… [1] (e) 20% of 190. …… [1]

Question

(a) A farmer plants t trees each day. Write an expression for the number of trees he plants in d days. …… [1] (b) A train has p passengers. x passengers get off the train and y passengers get on the train. Write an expression for the number of passengers on the train now. …… [1]

Question

Raj thinks of a negative number, n. He adds 10 to n and then multiplies by 5. The answer is 30. Work out the value of n. n = …… [2]

Question

The diagram shows a straight line crossing a pair of parallel lines. b c A d h e g f Complete these statements. (a) Angle A and angle …… are corresponding angles. [1] (b) Angle A and angle e are …… angles. [1]

Question

These are the first four terms of a sequence. 31 24 17 10 (a) Write down the term-to-term rule for continuing this sequence. …… [1] (b) Find the next two terms in this sequence. …… , …… [2] (c) Find the nth term. …… [2]

Question

A cuboid measures 3 cm by 7 cm by 11 cm. Calculate the surface area of the cuboid. …… cm2 [3]

Question

The table shows an ordered stem-and-leaf diagram. A, B and C are missing numbers. 0 2 A 1 1 3 B 7 2 0 4 6 C Key : 1 | 3 represents 13 For the ten numbers • the range is 27 • the median is 16 • the mean is 16.5 . (a) Work out the values of A, B and C. A = …… B = …… C = …… [5] (b) Complete this statement. There is no mode because …… …… [1]

Question

The scale drawing shows the positions of two lighthouses, P and Q. The scale is 1 centimetre represents 0.8 kilometres. North North P Q Scale: 1 cm to 0.8 km (a) (i) Find the actual distance between P and Q. …… km [2] (ii) Measure the bearing of Q from P. …… [1] (b) A boat, B, is on a bearing of 127° from P. Calculate the bearing of P from B. …… [2]

Question

Mo asks some people if they prefer sun, rain or wind. The pie chart shows the results. Wind 95° Sun 80° Rain 45 more people prefer wind than rain. Work out how many people prefer sun. …… [4]

Question

Xie changes 2000 dollars into krona. 1 dollar = 0.615 euros 1 krona = 0.087 euros Use the exchange rates to calculate how many krona she receives. Give your answer correct to the nearest krona. …… krona [3]

Question

(a) Factorise. 8x 2 - 2x …… [2] (b) Expand the brackets and simplify. 5 (2m - 1) + 3 (m + 7) …… [2]

Question

(a) A car travels 95 km in 2 hours and 15 minutes. Calculate the average speed of the car in km/h. …… km/h [1] (b) Convert 8 m/s into km/h. …… km/h [2]

Question

(a) Chi shares $480 in the ratio 2 : 3 : 7. Calculate the value of the largest share. $ …… [2] (b) Simplify these ratios. (i) 98 : 147 …… : …… [1] (ii) 2 450 : 2 452 …… : …… [1]

Question

(a) Solve. x = 18 3 x = …… [1] 69 (b) = 6 11 6y Find the value of y. y = …… [1] (c) Simplify. a 6 b -2 a4b3 …… [2]

Question

(a) Clare invests $12 000 for 3 years at a rate of 8% per year compound interest. Calculate the value of her investment at the end of the 3 years. Give your answer correct to the nearest $10. $ …… [3] (b) Zak invests $560 for one year. After one year his investment is worth $630. Calculate the percentage increase. …… % [2]

Question

(a) Write 2025 as the product of its prime factors. …… [2] (b) Write 2025 as a product of two square numbers that are both greater than one. …… [1]

Question

The diagram shows three shapes, A, B and C, on a 1 cm 2 grid. y 7 6 5 4 C A 3 B 2 1 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 x (a) On the grid, draw the image of shape A after a rotation, 90° clockwise, centre (0, 3). [2] (b) Describe fully the single transformation that maps (i) shape A onto shape B …… [2] (ii) shape A onto shape C. …… [3] (c) Calculate the size of the smallest angle in triangle C. …… [2]

Question

(a) Show that the sum of the interior angles of a pentagon is 540° . [1] (b) In this part, all angles are in degrees. 3x - 25 3x - 5 x + 35 NOT TO SCALE x + 40 2x The diagram shows the five interior angles of a pentagon, written in terms of x. (i) Write down an expression, in terms of x, for the sum of the interior angles of the pentagon. Give your answer in its simplest form. …… [2] (ii) Work out the value of x. x = …… [2]