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Mixed Numerals & Improper Fractions

Quiz · Maths · Stage 2 Extension · Year 4
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Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.

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Level 1 · Warm-up

1 How many quarters are there in 1 whole?
Show worked solution
There are 4 quarters in a whole.
2 Write 7/4 as a mixed numeral.
Show worked solution
4 quarters make 1 whole, leaving 3 quarters: 1 3/4.
3 Write 2 1/3 as an improper fraction.
Show worked solution
2 wholes is 6 thirds, plus 1 more third: 7/3.

Level 2 · Core

4 Write 11/5 as a mixed numeral.
Show worked solution
11 ÷ 5 = 2 remainder 1, so 2 1/5.
5 Write 3 2/5 as an improper fraction.
Show worked solution
3 wholes is 15 fifths, plus 2 more: 17/5.
6 Which is larger: 9/4 or 2?
Show worked solution
9/4 is 2 1/4, which is more than 2, so 9/4 is larger.

Level 3 · Challenge

7 A recipe needs 2 3/4 cups of flour. How many quarter-cups is that altogether?
Show worked solution
2 wholes is 8 quarters, plus 3 more: 11 quarter-cups. (2 3/4 = 11/4.)
8 You have 13/6 of a pizza. How many WHOLE pizzas is that, and how many sixths are left over? (type like 2 wholes and 1 sixth)
Show worked solution
13 ÷ 6 = 2 remainder 1, so 2 wholes and 1 sixth.
9 Which is larger: 3 1/4 or 13/4? (type larger one like 3 1/4, or equal)
Show worked solution
3 1/4 is 12 quarters plus 1 = 13/4, so they are equal.