MathematicsGrade 8en

📊 Ratios, Rates & Proportions

Master the fundamentals of ratios, rates, and proportional relationships—key concepts in Grade 8 mathematics. This quiz covers finding equivalent ratios, calculating unit rates, solving proportions, and applying scaling to real-world problems. **What you'll learn:** - How to identify and write equivalent ratios in simplest form - Calculate unit rates and compare quantities - Solve proportions using cross-multiplication - Apply ratios to scale drawings and enlarge/reduce figures

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Questions in this quiz

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Question 1
Which of the following ratios is equivalent to $4:6$ ?
Question 2
A recipe calls for 3 cups of flour and 2 cups of sugar. If you want to make a batch using 9 cups of flour, how many cups of sugar do you need?
Question 3
A unit rate is a ratio that compares a quantity to 2 units of another quantity.
Question 4
If a car travels 240 kilometres in 3 hours, what is the unit rate in kilometres per hour?
Question 5
Which pair of ratios are not proportional?
Question 6
A map has a scale of $1\text{ cm} : 5\text{ km}$ . If the actual distance between two towns is 35 km, how many centimetres apart are they on the map?
Question 7
If you scale a rectangle's length and width by a factor of 2, the area is multiplied by 2.
Question 8
The ratio of boys to girls in a class is $3:4$ . If there are 21 boys, how many girls are there?
Question 9
Which ratio is in simplest form?
Question 10
A swimmer completes 8 laps in 16 minutes. At this rate, how many laps will the swimmer complete in 40 minutes?
Question 11
Two quantities are proportional if they increase or decrease at a constant rate relative to each other.
Question 12
A smoothie requires a ratio of $2:3:5$ for banana, yogurt, and milk (in cups). If you use 4 cups of banana, how many cups of milk are needed?
Question 13
A painting is enlarged by a scale factor of $\frac{3}{2}$ . If the original painting is 8 inches wide, how wide is the enlarged painting?
Question 14
Which of the following represents the rate of change for a car traveling at a constant speed of 60 km/h?
Question 15
The ratios $15:20$ and $9:12$ are equivalent.
Question 16
A recipe calls for a ratio of sugar to flour of $2:5$ . If 14 cups of sugar are used, what is the total amount of sugar and flour combined?
Question 17
A notebook costs $\$ 3.50$ for 1 unit. What is the unit price?