6 exam-style questions with full mark schemes and model answers. Write your own answer and the AI examiner marks it against the mark scheme.
Learn this properly: Simplifying and Using RatiosA company shares a staff bonus of £960 between three departments - Sales, Logistics and Support - in the ratio 5:3:4.
(a) Work out how much each department receives. (3 marks)
(b) The following year, the Logistics department's share is increased by 25%. Work out the new amount the Logistics department receives. (2 marks)
y is directly proportional to the cube of x. When x=3, y=54.
(a) Find a formula for y in terms of x. (3 marks)
(b) Find the value of y when x=2. (1 mark)
A cyclist rides 36 km in 1 hour 30 minutes at a constant speed.
(a) Calculate the cyclist's average speed, in km/h. (2 marks)
(b) Riding at this same average speed, work out how long it would take the cyclist to travel 60 km. Give your answer in hours and minutes. (2 marks)
A supermarket sells the same brand of rice in two pack sizes. A 500 g pack costs £1.40 and an 800 g pack costs £2.16. Determine which pack is the better value for money. You must show your working. (3 marks)
A recipe for 4 portions of pancakes uses 320 g of flour. Marek wants to make 10 portions using the same recipe. Work out how much flour Marek needs. (2 marks)
Write the ratio 18:24 in its simplest form. (1 mark)