⚖️ Ratios & Proportional Reasoning
This quiz explores the fundamental concepts of ratios and proportional reasoning in Grade 6 mathematics. You'll work with part-to-part and part-to-whole ratios, find equivalent ratios, calculate unit rates, and solve real-world proportion problems involving recipes, maps, and scaling. **What you'll learn:** - Write and interpret ratios in multiple forms (part-to-part, part-to-whole) - Find equivalent ratios using multiplication and division - Understand and calculate unit rates - Solve proportion problems using cross-multiplication - Apply ratios to real-world contexts like cooking, maps, and resizing
Questions in this quiz
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- Question 1
A bag contains 3 red marbles and 5 blue marbles. What is the ratio of red marbles to total marbles?
- Question 2
The ratios and are equivalent ratios.
- Question 3
A recipe calls for 2 cups of flour for every 3 cups of sugar. If you want to make a batch with 6 cups of sugar, how much flour do you need?
- Question 4
A unit rate expresses a ratio where one of the quantities is:
- Question 5
Which of the following is NOT an equivalent ratio to ?
- Question 6
On a map, the scale is 1 cm = 5 km. If two cities are 8 cm apart on the map, what is the actual distance between them?
- Question 7
In the ratio , 7 is a part and 4 is the whole.
- Question 8
A store sells apples at 3 apples for $2.40. What is the unit rate (cost per apple)?
- Question 9
If the ratio of boys to girls in a class is , and there are 12 girls, how many boys are there?
- Question 10
A recipe for punch uses 4 parts juice to 1 part sparkling water. Which of the following maintains this ratio?
- Question 11
If you multiply both parts of a ratio by the same number, the new ratio is equivalent to the original.
- Question 12
A photo is 4 inches wide and 6 inches tall. If you enlarge it so the width becomes 10 inches, what should the height be to maintain the same proportions?
- Question 13
A car travels 150 miles in 3 hours. What is the unit rate in miles per hour?
- Question 14
In a classroom, the ratio of pencils to erasers is . What is this ratio in its simplest form?
- Question 15
A proportion is an equation that states two ratios are equal.
- Question 16
A batch of cookies uses a ratio of 2 cups of butter to 5 cups of flour. If you have 10 cups of butter, how many cups of flour do you need?
- Question 17
Which situation best represents a unit rate?