Ratio, Proportion and Rates

Simplify the ratio 24:36.

ECZ Paper 1 · 2 marks · Foundation level

Write the ratio 500 g to 2 kg in its simplest form.

ECZ Paper 1 · 2 marks · Foundation level

Given that a:b = 3:4 and b = 20, find a.

ECZ Paper 1 · 2 marks · Foundation level

Convert a speed of 90 km/h into m/s.

ECZ Paper 1 · 2 marks · Foundation level

A car travels 150 km in 3 hours. Find its average speed.

ECZ Paper 1 · 2 marks · Foundation level

Divide K750 between two workers in the ratio 2:3.

ECZ Paper 1 · 3 marks · Application level

Share 96 sweets between three children in the ratio 1:3:4. How many sweets does the child with the largest share receive?

ECZ Paper 1 · 3 marks · Application level

A map has a scale of 1:50 000. Find the actual distance, in km, represented by 6 cm on the map.

ECZ Paper 1 · 3 marks · Application level

6 machines produce 480 items in a day, all working at the same rate. How many items would 9 machines produce in a day?

ECZ Paper 1 · 3 marks · Application level

A recipe for 6 people needs 900 g of rice. How much rice is needed for 10 people?

ECZ Paper 2 · 3 marks · Analysis level

A car travels 120 km at 60 km/h, then a further 45 km at 45 km/h. Find the average speed for the whole journey.

ECZ Paper 2 · 4 marks · Analysis level

Three partners invest K12 000, K18 000 and K30 000 in a business. The business makes a profit of K9 000, which is shared in proportion to their investments. How much profit does each partner receive?

ECZ Paper 2 · 4 marks · Mastery level

A minibus travels the 210 km from Lusaka to Monze. It covers the first 120 km in 1 hour 30 minutes, stops for 20 minutes, then completes the journey at an average speed of 60 km/h. (a) Calculate the total time taken for the journey, including the stop. (b) Find the average speed for the whole journey, excluding the stop.

ECZ Paper 2 · 6 marks · Mastery level