Quiz: Ratios, Proportions & Dividing Quantities
A ratio a : b compares two quantities (a to b). Proportion a : b :: c : d holds when ad = bc. To split x in ratio m : n, parts are (m×x)/(m+n) and (n×x)/(m+n).
Quick formulas
- Ratio: a : b (terms = a, b)
- Proportion test: a : b :: c : d ⇔ ad = bc
- Split rule: first = (m×x)/(m+n), second = (n×x)/(m+n)
Controls
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Ratios & Proportions Quiz
Test your understanding of ratios, proportionality (ad=bc), and how to divide quantities. Select the best answer for each question.
1
In the ratio 3:5, how many units of the second quantity correspond to 3 units of the first?
2
If a=2, b=3, c=4, d=6, are the ratios a:b and c:d proportional?
3
To divide a quantity 'x' in the ratio m:n, what is the formula for the FIRST part?
4
To divide a quantity 'x' in the ratio m:n, what is the formula for the SECOND part?
5
Divide 100 in the ratio 2:3. What is the value of the first part?
6
Are the ratios 1:2 and 3:5 proportional?
7
If a:b :: c:d, and a=5, b=10, c=1, what is d?
8
What are 'a' and 'b' called in the ratio a:b?
9
Divide 45 in the ratio 4:5. What is the value of the second part?
10
The notation for two proportional ratios is a:b :: c:d. What does the '::' symbol represent?
11
If you divide $50 in a 1:1 ratio, how much is each part?
12
Are the ratios 10:20 and 5:10 proportional?
13
Divide 120 in the ratio 1:5. What is the value of the second part?
14
If a:b :: c:d, then ad = bc. This is known as:
15
A recipe calls for flour and sugar in a 5:2 ratio. If you use 10 cups of flour, how much sugar do you need?
Score: 0 / 15
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