Test
Ratios and proportions
Dynamic tasks on simplifying ratios, solving proportions and direct proportion word problems.
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Sample questions
- Simplify the ratio ___:___.
- Find x: ___/___ = x/___.
- One item costs €___. How much will ___ such items cost?
- A recipe for ___ servings needs ___ g of an ingredient. How many grams are needed for ___ servings?
- On a map, 1 cm represents ___ km. What is the real distance if it measures ___ cm on the map?
Ratios and proportions
A ratio a : b compares two quantities by division. Simplify it by dividing both terms by the same number. A proportion states that two ratios are equal.
Solving a proportion
If a/b = c/d, then ad = bc. Directly proportional quantities increase or decrease by the same factor. In word problems, compare corresponding quantities in a consistent order.
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