Fraction, Decimal or Percentage of a Quantity
Find a Fraction of a Number
Calculate each fraction of the given quantity.
1/2 of 40 = ___
1/4 of 60 = ___
1/3 of 36 = ___
3/4 of 80 = ___
2/5 of 50 = ___
More Fractions of Quantities
Calculate each fraction of the given quantity.
1/5 of 45 = ___
2/3 of 90 = ___
3/8 of 64 = ___
5/6 of 42 = ___
Quick Fraction Check
Circle the correct answer.
1/4 of 100 = ?
1/3 of 27 = ?
2/5 of 30 = ?
3/4 of 48 = ?
Match Fractions, Decimals & Percentages
Draw a line to match each fraction to its decimal and percentage.
More FDP Matches
Draw a line to match each fraction to its decimal and percentage.
Sort: Fraction, Decimal or Percentage Form?
Sort each representation into its correct form.
Convert Between Forms
Write each value in all three forms: fraction, decimal and percentage.
1/2 = ___ (decimal) = ___%
0.75 = ___ (fraction) = ___%
20% = ___ (fraction) = ___ (decimal)
3/5 = ___ (decimal) = ___%
Find the Percentage
Calculate each percentage of the given quantity.
10% of 80 = ___
25% of 120 = ___
50% of 90 = ___
20% of 150 = ___
75% of 200 = ___
More Percentage Calculations
Calculate each percentage.
30% of 60 = ___
15% of 80 = ___
5% of 200 = ___
40% of 250 = ___
60% of 45 = ___
Quick Percentage Check
Circle the correct answer.
30% of $60 = ?
15% of $80 = ?
40% of $50 = ?
5% of $200 = ?
More Percentage Questions
Circle the correct answer.
90% of 50 = ?
35% of 200 = ?
12% of 300 = ?
80% of 125 = ?
Percentage Strategies
Use the 10% strategy: find 10% first, then use it to find other percentages.
10% of 70 = ___. So 20% of 70 = ___. So 5% of 70 = ___.
10% of 120 = ___. So 30% of 120 = ___. So 15% of 120 = ___.
10% of 250 = ___. So 40% of 250 = ___. So 45% of 250 = ___.
Decimals of a Quantity
Calculate each decimal of the given quantity.
0.5 of 120 = ___
0.25 of 80 = ___
0.1 of 350 = ___
0.75 of 60 = ___
More Decimal Quantities
Calculate each decimal of the given quantity.
0.4 of 200 = ___
0.15 of 60 = ___
0.3 of 150 = ___
0.8 of 45 = ___
Match Equivalent Calculations
Draw a line to match each calculation to an equivalent one.
FDP Word Problems
Solve each word problem.
There are 30 students in a class. 40% are boys. How many boys are there?
A shirt costs $45. It is 20% off. What is the discount? What is the sale price?
You scored 3/4 on a test out of 80 marks. How many marks did you score?
A farmer has 120 sheep. 0.25 of them are lambs. How many lambs are there?
Challenge: Mixed FDP Problems
Solve each problem using fractions, decimals or percentages.
Which is more: 30% of 80 or 1/4 of 100? Show your working.
A class has 25 students. 3/5 walk to school and 20% ride bikes. How many use other transport?
A 600 mL bottle is 75% full. How many millilitres are in it?
Home Activity: Percentage Spotter
Find percentages in real life!
- 1Find a sale sign at a shop or online. Calculate how much you would save on a $50 item.
- 2Work out 10% of your pocket money. Now work out 25% and 50%.
- 3If you ate 3/4 of a pizza with 8 slices, what percentage did you eat?
- 4Look at a nutrition label. What fraction of your daily calcium does a glass of milk provide?
- 5Find 3 different discount signs and calculate the actual saving on a $100 item.
Percentage Increase and Decrease
Calculate each percentage change.
A price increases from $50 to $60. Percentage increase = ___%
A price decreases from $80 to $60. Percentage decrease = ___%
Population was 5,000. Now 6,250. Percentage increase = ___%
Percentage — FDP Equivalences
Circle the correct equivalent.
33⅓% = ?
12½% = ?
66⅔% = ?
87.5% = ?
Match Percentage to Fraction
Draw a line to match each percentage to its fraction equivalent.
Find the Original Amount
Work backwards to find the original amount.
After 20% off, a shirt costs $40. Original price = $___
After adding 10% GST, a bill is $55. Pre-GST price = $___
After a 25% increase, a salary is $75,000. Original salary = $___
Percentage of Whole Numbers — Mental Strategies
Use mental strategies to calculate each percentage.
1% of 350 = ___. So 7% of 350 = ___
50% of 84 = ___. So 25% of 84 = ___. So 75% of 84 = ___
10% of 450 = ___. So 5% = ___. So 35% of 450 = ___
Sort FDP Representations
Sort these values from smallest to largest.
Express as a Percentage
Write each quantity as a percentage of the total.
15 out of 60 = ___% (of the total)
32 out of 80 = ___% (of the total)
45 out of 150 = ___% (of the total)
6 out of 24 = ___% (of the total)
Combining Fractions, Decimals and Percentages
Calculate each expression. Show your working.
25% of 80 + 1/4 of 40 = ___
0.3 × 90 + 30% of 50 = ___
3/5 of 100 − 55% of 80 = ___
Which Is More? (FDP Comparison)
Circle the greater amount.
40% of 80 vs 1/3 of 90:
0.6 of 50 vs 65% of 40:
3/4 of 48 vs 70% of 50:
Class Favourite Activities
30 students in a class. The graph shows the fraction choosing each activity. Answer the questions.
| Reading (1/5) | |
| Sport (2/5) | |
| Art (1/6) | |
| Music (4/15) |
What percentage chose sport?
What decimal fraction chose reading?
How many students chose reading OR music?
Survey: Use of Pocket Money
25 students were surveyed. Complete the tally chart.
| Item | Tally | Total |
|---|---|---|
Save (40%) | ||
Spend on food (28%) | ||
Entertainment (20%) | ||
Charity (12%) |
Real-World FDP Word Problems
Solve each word problem.
A school of 480 students: 45% are girls. How many are boys? ___
A recipe needs 2/5 of a cup of sugar. You want to make 3.5 times the recipe. Sugar needed = ___ cups
You scored 72% on a test worth 75 marks. Marks scored = ___
Fraction, Decimal, Percentage Conversion Table
Complete this conversion table.
1/8 = ___ (decimal) = ___%
0.375 = ___ (fraction) = ___%
62.5% = ___ (fraction) = ___ (decimal)
3/8 = ___ (decimal) = ___%
Percentage Problems — Sale Context
Solve these sale problems.
A $120 item is 35% off. Sale price = $___
A $75 item is 15% off. Sale price = $___
You save $24 on a $96 item. Percentage saved = ___%
Match Percentage Problem to Answer
Draw a line to match each problem to its answer.
Nutrition Labels and Percentages
Answer these questions about food labels.
A cereal provides 4.5 g of protein. Daily recommended is 50 g. What percentage is this? ___
Sodium: 250 mg per serve. Max daily 2,000 mg. What fraction of daily maximum per serve? ___
Percentage Change Investigation
Investigate percentage changes.
A number increases by 10%, then decreases by 10%. Is the result the same as the original? Explain: ___
A price decreases 20%, then increases 25%. What is the overall percentage change? ___
Mental Maths: FDP Shortcuts
Use these shortcuts to calculate mentally.
50% = ½. So 50% of 96 = ___. And 50% of $13.40 = ___
25% = ¼. So 25% of 120 = ___. And 75% of 120 = ___
10% of 250 = ___. 5% = ___. 15% = ___. 35% = ___
Explain the Connection
Answer these conceptual questions.
Why does 100% of something equal the whole thing? ___
Is it possible to have more than 100% of something? Give an example: ___
Create your own fraction, decimal, percentage problem for a classmate: ___