Ratios Introduction — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. A tape diagram for the ratio 3:2 has 3 boxes for one part and 2 boxes for the other.
Each unit in the ratio equals one box in the tape diagram.
2. If a ratio is 1:4, the total number of equal boxes in the tape diagram is 5.
1 box plus 4 boxes equals 5 total equal-sized parts.
3. A tape diagram has 6 boxes shaded and 4 unshaded. The ratio of shaded to unshaded is 6:4.
The unshaded bar has 4 boxes, so the second ratio number is 4.
4. Equivalent ratios for 2:3 include 4:6, 6:9, and 8:12.
2 times 4 is 8, and 3 times 4 is 12, keeping the ratio equal.
5. The ratio 1:4 written as a fraction of part-to-whole is 1/5.
Total parts are 1 plus 4, equaling 5; one part out of 5.
6. The ratio 3:7 as a part-to-whole fraction is 3/10.
3 plus 7 equals 10, so 3 out of 10 total parts.
7. If 1/4 of a class is boys, the percent that is boys is 25%.
1 divided by 4 equals 0.25, which is 25 percent.
8. The ratio 1:1 as a decimal of part-to-whole is 0.5.
1 out of 2 total equals 0.5 in decimal form.
9. Filling a table for ratio 5:2, after 5:2 and 10:4 the next pair is 15:6.
Both numbers must scale by the same factor to stay equivalent.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Ratio 1:3
→ 1 box and 3 boxes (4 total)
1 box and 3 boxes (4 total)
Ratio 2:1
→ 2 boxes and 1 box (3 total)
2 boxes and 1 box (3 total)
Ratio 1:1
→ 1 box and 1 box (2 total)
1 box and 1 box (2 total)
Ratio 3:2
→ 3 boxes and 2 boxes (5 total)
3 boxes and 2 boxes (5 total)
Each ratio number tells how many equal boxes appear in each bar of the tape diagram.