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Fractions Decimals Percentages Test

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Fractions Decimals Percentages Test

Fractions Decimals Percentages Test

Mathematics symbols and numbers

📊 Part 1: Identifying and Reading Numbers

1. Circle the decimal that represents three and four hundred twenty-five thousandths:

3.425

3.0425

34.25

3.4025

2. Write these numbers in words:

a) 0.375 = ________________________________

b) 2⅝ = ____________________________________

c) 67.5% = _________________________________

3. Write these in number form:

a) Forty-two and six hundredths = ___________

b) Seven eighths = ________________________

c) Thirty-four and five tenths percent = ______

🔄 Part 2: Converting and Comparing

4. Convert these fractions to decimals (show your working):

a) ¾ = _______

b) ⅝ = _______

5. Convert these decimals to percentages:

a) 0.45 = _______%

b) 0.875 = _______%

c) 1.25 = _______%

6. Order these from smallest to largest:

0.6, ⅝, 65%, 0.625

Answer: _____ < _____ < _____ < _____

✖️➗ Part 3: Multiplying and Dividing by Powers of 10

7. Calculate:

a) 4.567 × 100 = __________

b) 89.3 ÷ 1000 = __________

c) 0.045 × 10 = __________

d) 234.8 ÷ 100 = __________

8. Fill in the missing numbers:

a) 5.67 × _____ = 567

b) 890 ÷ _____ = 0.89

🔢 Part 4: Working with Fractions

9. Find equivalent fractions:

a) ⅖ = ____/15

b) ¾ = 12/____

10. Simplify these fractions:

a) 12/18 = ____

b) 15/25 = ____

11. Convert between improper fractions and mixed numbers:

a) 13/4 = ____

b) 3⅝ = ____

12. Add and subtract fractions (show your working):

a) ¾ + ⅓ = ____

b) ⅚ - ⅖ = ____

🧮 Part 5: Multiplication and Decimal Operations

13. Multiply fractions and decimals by whole numbers:

a) ⅗ × 4 = ____

b) 0.375 × 6 = ____

14. Add and subtract decimals (estimate first, then calculate):

a) 12.456 + 7.89 = ____

Estimate: _____ Exact answer: _____

b) 25.7 - 8.945 = ____

Estimate: _____ Exact answer: _____

💰 Part 6: Percentage Problems

15. Find the percentage of whole numbers:

a) 25% of $120 = $____

b) ¾ of 80 students = ____ students

16. Find the whole amount:

a) 25% is $40. What is the total amount? $____

b) 75% is $45. What is the total amount? $____

📐 Part 7: Proportional Reasoning

17. Solve these ratio problems:

a) If there are 3 red balls for every 7 blue balls, how many balls altogether when there are 18 red balls?

Answer: ____ balls altogether

18. In a recipe, the ratio of flour to sugar is 5:2. If you use 15 cups of flour, how much sugar do you need?

Answer: ____ cups of sugar

19. A car travels 240 kilometres in 3 hours. At this rate, how far will it travel in 5 hours?

Answer: ____ kilometres

🎯 Part 8: Challenge Questions

20. Circle all the numbers that are equivalent to 0.6:

60%

6/10

12/20

0.60

21. A shop reduces all prices by 15%. If a jacket originally cost $80, what is the new price?

New price: $____

22. Express 1.375 as a mixed number in its simplest form:

Answer: ____

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