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Rational Numbers Pre-Assessment

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Rational Numbers Pre-Assessment worksheet preview
Rational Numbers Pre-Assessment

Rational Numbers Pre-Assessment

Mathematical symbols and fractions illustration

📊 Part 1: Identifying and Writing Rational Numbers

1. Write the fraction that represents the shaded portion: "Three out of eight equal parts are shaded"
2. Convert these fractions to decimals:

a) 1/2 = _______

b) 3/4 = _______

c) 1/5 = _______

3. Write these decimals as percentages:

a) 0.25 = _______%

b) 0.6 = _______%

c) 0.125 = _______%

4. Circle the fraction that represents 50%:

1/4

1/2

3/4

2/3

🔢 Part 2: Comparing and Ordering

5. Compare these fractions using <, >, or =:

a) 2/3 _____ 3/4

b) 1/2 _____ 4/8

c) 3/5 _____ 0.6

6. Order these numbers from smallest to largest:

0.75, 2/3, 80%, 0.7, 3/4

7. Which decimal is closest to 1/3?

0.25

0.33

0.5

0.75

⚖️ Part 3: Equivalent Fractions and Simplifying

8. Find three equivalent fractions for 1/2:

1/2 = ___/4 = ___/6 = ___/10

9. Simplify these fractions to their lowest terms:

a) 6/8 = _______

b) 15/20 = _______

c) 12/18 = _______

10. Check all fractions that are equivalent to 2/3:

4/6

6/9

8/10

10/15

➕➖ Part 4: Adding and Subtracting Fractions

11. Add these fractions with unlike denominators. Show your working:

a) 1/3 + 1/6 =

b) 3/4 + 1/8 =

12. Subtract these fractions. Show your working:

a) 5/6 - 1/3 =

b) 7/8 - 1/4 =

13. Sarah ate 1/4 of a pizza and Tom ate 1/3 of the same pizza. How much pizza did they eat altogether?

🔄 Part 5: Converting Between Forms

14. Convert these improper fractions to mixed numbers:

a) 7/3 = _______

b) 11/4 = _______

c) 13/5 = _______

15. Convert these mixed numbers to improper fractions:

a) 2 1/2 = _______

b) 3 2/3 = _______

c) 1 3/4 = _______

16. Match each fraction with its decimal equivalent:
1. 1/4
2. 3/5
3. 7/10
4. 1/8
A. 0.7
B. 0.125
C. 0.25
D. 0.6

🧠 Part 6: Problem Solving and Real-World Applications

17. A recipe calls for 2/3 cup of flour, but you only have a 1/4 cup measuring cup. How many times will you need to fill the 1/4 cup to get 2/3 cup of flour?
18. In a class of 24 students, 3/8 of the students play rugby and 1/6 play netball. How many students play each sport?

Rugby players: _______ students

Netball players: _______ students

19. Explain in your own words what it means for two fractions to be equivalent:
20. Circle the statement that is TRUE:

All fractions can be written as terminating decimals

The denominator tells you how many equal parts the whole is divided into

Mixed numbers are always smaller than improper fractions

You cannot add fractions with different denominators

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