Ratios, Rates & Proportions

Grade 8: scale diagrams and multi-step rate problems.

13 questions, free, marked as you go with a worked explanation on every one.

What this covers

A map has a scale of 1:50000. Two towns are 4 cm apart on the map. What is the actual distance, in km?
A car uses 8 L of gas to travel 100 km. At this rate, how many L are needed for 250 km?
Solve the proportion: 5/8 = x/40
A recipe that serves 4 people needs 3 cups of flour. How many cups are needed to serve 10 people?
A scale drawing shows a 2 cm object representing an actual 8 m object. What is the scale factor (actual ÷ drawing, both in cm)?
A scale model is built at a ratio of 1:20. If the model is 8 cm tall, how tall is the actual object, in metres?
A tap fills a tank at 15 L per 4 minutes. How many litres fill in 10 minutes?
Solve the proportion: 7/12 = x/60
A photo is enlarged so a 4 cm side becomes 18 cm. What scale factor was used?
A scale model is built at a ratio of 1:25. If the model is 6 cm tall, how tall is the actual object, in metres?
A fruit drink is mixed from concentrate and water in a ratio of 1:4. Which mixture matches that ratio?
A blueprint uses a scale of 1:50. A wall measures 6 m in real life. How long is it on the blueprint, in centimetres?
A recipe mixes oil and vinegar in a ratio of 3:1. How many millilitres of oil are needed to go with 50 mL of vinegar?