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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
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