Year 6 Maths · Fractions, decimals and percentages
Year 6 fractions, decimals and percentages worksheet
Fractions, decimals and percentages can describe the same proportion. This resource connects the representations before applying them to collections and an Australian-dollar discount. Learners explain why a percentage needs a whole and distinguish a saving from a final price.
Free · No account needed · 6 original questions · 3 A4 pages · worked answers
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Your worksheet at a glance
Open PDF to preview or print. Print pages 1–2 for questions; page 3 contains all answers and worked explanations. Select A4 and actual size (100%). Keep the answer page aside for an independent attempt.
What you'll practise
A method to use
- Treat percent as out of one hundred, then rename the same proportion as a decimal or fraction.
- Use a familiar fraction such as one quarter when finding a percentage of a quantity.
- For a discount, calculate the saving first and subtract it from the original price.
See a worked example
Write 3/4 as a decimal and a percentage.
- Three quarters equals seventy-five hundredths: 3/4 = 75/100.
- Seventy-five hundredths is 0.75, or 75%.
A mistake to watch for
25% does not always mean 25 objects. It means one quarter of the stated whole. Find out what quantity represents 100% before calculating.
Preview every worksheet question
These are the same six questions as the PDF. Use paper for calculations, sketches and explanations.
1. What percentage of the bar is marked?
2. Write 0.35 as a fraction with denominator 100.
3. Find 25% of 48 students.
4. A $60 backpack has a 20% discount. What is the sale price?
5. Which is greater: 0.6 or 55%? Write the greater value as a decimal.
6. A class has 40 students. Finn says 10% means 10 students. How many students is 10% of this class? Explain.
Answer key and worked solutions
The PDF includes this answer page. Reveal the HTML version when you are ready to compare your method.
Show all six answers and explanations
- 40%
Two of five equal parts are marked: 2/5 = 40/100 = 40%.
- 35/100
0.35 is thirty-five hundredths, so it is 35/100.
- 12 students
25% is one quarter. Divide 48 by 4 to get 12 students.
- $48
20% of $60 is $12. Subtract that saving: $60 − $12 = $48.
- 0.6
0.6 equals 60%, which is greater than 55%. The greater decimal is 0.6.
- 4 students
10% is one tenth of the whole class. One tenth of 40 is 4 students; ten students would be 25% of this class.
For parents and teachers
Ask the learner to move between representations without losing track of the whole. A sketch can show why a quarter and 25% match. When discussing the discount, ask which value is the saving and which is payable. The fraction companion revisits an underlying skill; full Year 6 Maths practice is available through the final app link.
You may print and share the unchanged worksheet for home or classroom learning. Keep the Adaptigo attribution and source link with it.
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