Percentages: Parts per Hundred
Year 5 | Beginner | Ages 9–10
Instructions: Work through the activities in order. Remember that per cent means “out of 100”: for example, 25% = 25/100 = 0.25. Use the examples and equivalent fractions to help you, and write each answer in its box.
What Does Per Cent Mean?
Per cent means “parts per hundred”. Read each percentage as a number of parts out of 100, then write the matching fraction. The first one is done to guide you.
Example: 12% means 12 parts out of 100, so 12% = 12/100.
1. 7% = ___ parts out of 100 = /100
2. 30% = ___ parts out of 100 = /100
3. 46% = ___ parts out of 100 = /100
4. 85% = ___ parts out of 100 = /100
Percentages as Fractions and Decimals
Write each percentage as a fraction with denominator 100 and as a decimal. For a percentage, the decimal is the number of hundredths: for example, 37% = 37/100 = 0.37.
1. 8% = /100 =
2. 24% = /100 =
3. 53% = /100 =
4. 91% = /100 =
Match the Equivalent Values
Draw a line from each fraction to its matching percentage and decimal. The values on the right are deliberately mixed up. Use the helpful fact that a fraction can be converted to hundredths.
Draw a line to match each one
Complete the Equivalence Table
Each row shows a fraction and its equivalent percentage and decimal. Fill in the missing values. Remember that the percentage is the fraction’s value out of 100.
| Fraction | Out of 100 | Percentage | Decimal |
| 1/2 | 50/100 | ||
| 1/4 | 25% | ||
| 1/5 | 20/100 | ||
| 2/5 | 40% | ||
| 4/5 | 80/100 |
Choose the Correct Equivalent
Circle the correct option for each question. Check that the fraction, percentage and decimal all represent the same amount. The options include close distractors, so read each one carefully.
1. Which decimal is equal to 1/2?
2. Which percentage is equal to 1/4?
3. Which fraction out of 100 is equal to 1/5?
4. Which decimal is equal to 2/5?
5. Which percentage is equal to 4/5?
Use the Equivalences
Use the fraction equivalents you have practised to fill each blank. For example, 1/2 is 50/100, so 1/2 = 50%. Write the missing percentage or decimal in each box.
1. 1/2 = 50/100 = =
2. 1/4 = 25/100 = =
3. 1/5 = 20/100 = =
4. 2/5 = 40/100 = =
5. 4/5 = 80/100 = =
Activity 1: 7 parts, 7 ; 30 parts, 30 ; 46 parts, 46 ; 85 parts, 85
Activity 2: 8, 0.08 ; 24, 0.24 ; 53, 0.53 ; 91, 0.91
Activity 3: 1/2–0.5 = 50% ; 1/4–0.25 = 25% ; 1/5–0.2 = 20% ; 2/5–0.4 = 40% ; 4/5–0.8 = 80%
Activity 4: 50%, 0.5 ; 25/100, 0.25 ; 20%, 0.2 ; 40/100, 0.4 ; 80%, 0.8
Activity 5: 0.5 ; 25% ; 20/100 ; 0.4 ; 80%
Activity 6: 50%, 0.5 ; 25%, 0.25 ; 20%, 0.2 ; 40%, 0.4 ; 80%, 0.8
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