Ratio · Set 1
Simplifying ratios, finding missing terms, sharing in a ratio, and before-and-after ratio problems.
Name: ______________________ Date: ____________ Score: ______ / 6
- 1
Express 24 : 36 in its simplest form.
1 markAnswer: ______________Here's howFind the largest number that divides both: 1224 ÷ 12 = 2 and 36 ÷ 12 = 3Answer: 2 : 3 - 2
Find the missing number: 18 : ? = 3 : 5
1 markAnswer: ______________Here's how3 × 6 = 18, so multiply both terms by 65 × 6 = 30Answer: 30 - 3
The ratio of red marbles to blue marbles in a bag is 2 : 5. What fraction of the marbles are red?
1 markAnswer: ______________Here's howTotal units = 2 + 5 = 7Red = 2 out of 7 unitsAnswer: 2/7 - 4
Share $84 between Mia and Tom in the ratio 3 : 4. How much does each person get?
2 marksAnswer: ______________Here's howTotal units = 3 + 4 = 71 unit = $84 ÷ 7 = $12Mia = 3 × $12 = $36, Tom = 4 × $12 = $48Answer: Mia $36, Tom $48 - 5
Amy and Beth had beads in the ratio 5 : 3. After Amy gave 24 beads to Beth, they had the same number of beads. How many beads did Amy have at first?
3 marksAnswer: ______________Here's howThe total stays the same: 5 + 3 = 8 unitsAfter giving, each has 4 unitsAmy went from 5 units to 4 units, so 1 unit = 24Amy at first = 5 × 24 = 120Answer: 120 beads - 6
The ratio of boys to girls in a hall was 4 : 7. After 30 girls left, the ratio became 2 : 3. How many boys were in the hall?
4 marksAnswer: ______________Here's howThe number of boys does not change, so make the boys' units the sameBefore = 4 : 7. After = 2 : 3 = 4 : 6Girls dropped from 7 units to 6 units, so 1 unit = 30Boys = 4 × 30 = 120Answer: 120 boys
Finished the set?
Try another topic to keep going.