WAEC (WASSCE) Mathematics · Number and Numeration
Ratio, Proportions, and Rates: WAEC Mathematics Past Questions and Answers
What the WAEC syllabus covers in Ratio, Proportions, and Rates
Our summary: Comparing quantities, sharing them in proportion, and working with rates such as speed, tax and exchange.
- Ratio between two similar quantities. Proportion between two or more similar quantities.
- Financial partnerships, rates of work, costs, taxes, foreign exchange, density (e.g. population), mass, distance, time, and speed.
Syllabus content © The West African Examinations Council (WASSCE (harmonised West African syllabus)).
WAEC (WASSCE) Mathematics questions on Ratio, Proportions, and Rates
- WAEC 2024A piece of rod of length 44 m is cut to form a rectangular shape such that the ratio of the length to the breadth is 7: 4. Find the breath.
- WAEC 2024Gifty, Justina, and Frank shared 60 oranges in the ratio 5: 3: 7 respectively. How many oranges did Justina receive?
- WAEC 2023m:n = 21/3 : 11/5 and n : q = 11/2 : 11/3 , find q : m.
- WAEC 2022A trader made a loss of 15% when an article was sold. Find the ratio of the selling price : cost price
- WAEC 2022Three boys shared D 10,500.00 in the ratio 6:7:8. Find the largest share.
- WAEC 2021A trader paid import duty of 38 kobo in the naira on the cost of an engine. If a total of 22,800.00 was paid as import duty, calculate the cost of the engine.
- WAEC 2021A cyclist moved at a speed of Xkm/h for 2 hours. He then increased his speed by 2 km/h for the next 3 hours. If the total distance covered is 36 km, calculate…
- WAEC 2020Two buses start from the same station at 9.00am and travel in opposite directions along the same straight road. The first bus travel at a speed of 72 km/h and…
- WAEC 2019If m : n = 2 : 1, evaluate 3m^2 - 2n^2/m^2 + mn
- WAEC 2018If x : y : z = 3 : 3 : 4, evaluate 9x + 3y/6z - 2y
- WAEC 2018If x : y = 1/4 : 3/8 and y : z = 1/3 : 4/9 , find x : z
- WAEC 2017Water flows out of a pipe at a rate of 40 cm^2 per seconds into an empty cylinder container of base radius 4cm. Find the height of water in the container after…
- WAEC 2017The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola's age to Musa's age is 4:5, what is the ratio of Tunde's age to Musa's age?
- WAEC 2016Kweku walked 8m up to slope and was 3m above the ground. If he walks 12m further up the slope, how far above the ground will he be?
- WAEC 2015A trader bought an engine for 15,000.00 outside Nigeria. If the exchange rate is 0.075 to N1.00, how much did the engine cost in Naira?
- WAEC 2014If x : y = 3 : 2 and y : z = 5 : 4, find the value of x in the ratio x : y : z
- WAEC 2013The distance between two towns is 50km. It is represented on a map by 5cm. Find the scale used
- WAEC 2012Mr. Manu travelled from Accra to Pamfokromb a distance of 720km in 8 hours. What will be his speed in m/s?
- WAEC 2012In 1995, the enrollment of two schools X and Y were 1,050 and 1,190 respectively. Find the ration of the enrollments of X and Y
- WAEC 2011If N112.00 exchanges for D14.95, calculate the value of D1.00 in naira
- WAEC 2010A car uses one litre of petrol for every 14km. If one of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?
- WAEC 2010If x km/h = y m/s, then y =
Years with Ratio, Proportions, and Rates questions in DeeepSolve's question bank
From the past questions DeeepSolve holds, not a count of everything the exam body has set.
- 2024
- 2023
- 2022
- 2021
- 2020
- 2019
- 2018
- 2017
- 2016
- 2015
- 2014
- 2013
- 2012
- 2011
- 2010