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Advanced Fraction Challenge Worksheet

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Advanced Fraction Challenge Worksheet

Show your working for calculation and problem-solving questions. Simplify fraction answers where possible.

Fraction Operations

1.Work out 4⅜ + 2⅚ − 1⅝. Give your answer as a mixed number in simplest form.
2.Calculate 3⅖ × 1⅚. Write the product as a mixed number in simplest form.
3.Evaluate ⅞ ÷ ⅝ − ⅓. Give your answer as a fraction in simplest form.
4.Which expression has a value of 7/10? Choose one.
  • 1/2 + 1/5
  • 1 1/5 − 2/5
  • 3/4 × 4/5
  • 1 1/5 ÷ 2

Fractions in Context

5.A soup pot holds 6 litres. Anahera adds 1⅚ litres of stock, 2¼ litres of water and ⅝ litre of coconut milk. How many litres of space remain in the pot?
6.A walking track is 1⅝ km long. Hemi walks 2¾ laps in the morning and 1⅖ laps in the afternoon. How far does he walk altogether?
7.At a market stall, 5/8 of the customers buy apples, 1/3 buy pears, and 1/6 buy both. What fraction buy apples or pears, including customers who buy both?

Stretch Your Thinking

8.A batch of muffins uses 2⅖ cups of flour to make 8 muffins. How many cups of flour are needed to make 30 muffins at the same rate?
9.A large loaf is shared among three neighbours. One receives 2/5 of the loaf and another receives 1/4. The remaining piece weighs 210 g. What was the weight of the whole loaf?
10.Write three different mixed numbers whose sum is exactly 8¼. Show one possible set and verify the total.

Model A

Model B

3 printable pages

  • Advanced Fraction Challenge Worksheet, page 1 of 3: Fraction Operations

    Page 1

  • Advanced Fraction Challenge Worksheet, page 2 of 3: Fractions in Context, Stretch Your Thinking

    Page 2

  • Advanced Fraction Challenge Worksheet, page 3 of 3: 9. A large loaf is shared among three neighbours. One receives 2/5 of the loaf and…

    Page 3

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