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Exploring Fractions Deeply

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Exploring Fractions Deeply worksheet preview

Exploring Fractions Deeply

Fraction circles and number line illustration

📚 Part 1: Fractions of Sets

1. Look at this set of 12 sweets. 3 are red and 9 are blue. What fraction are red?

3/9

3/12

9/12

1/4

2. In a class of 20 children, 5 have brown hair. Write the fraction that represents children with brown hair.

Fraction: _____

3. Circle has 8 equal parts. 6 parts are shaded. Which of these fractions are equivalent to the shaded part?

6/8

3/4

2/3

12/16

4. Complete this fraction: In a box of 10 biscuits, 7 are chocolate chip. The fraction of chocolate chip biscuits is ___/___

📏 Part 2: Fractions on Number Lines

5. Where would you place 3/10 on a number line from 0 to 1?

Closer to 0

Exactly in the middle

Closer to 1

6. Put these fractions in order from smallest to largest: 1/4, 3/4, 1/2, 1/8

Smallest: _____ → _____ → _____ → _____ :Largest

7. Mark where 2/5 would go on this number line:

0 _________________ 1/5 _________________ 2/5 _________________ 3/5 _________________ 4/5 _________________ 1

🧮 Part 3: Problem Solving

8. Sarah has £12. She spends 1/4 of her money on sweets. How much money did she spend?

Answer: £_____

9. A pizza is cut into 8 equal slices. Tom eats 3 slices and his sister eats 2 slices. What fraction of the pizza is left?

Fraction remaining: _____

10. Challenge: Explain why 2/4 and 1/2 are equivalent fractions. Use words and pictures to show your thinking.
11. Mrs Johnson's class has 24 pupils. 1/3 of them walk to school, 1/4 cycle, and the rest come by car. How many children come by car?

Answer: _____ children

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