Numeracy · Guided Practice

Fractions

19 questions with answers and video solutions. Try each one before revealing the answer.

1
Evaluate 323+456\displaystyle 3 \frac{2}{3}+4\frac{5}{6}
Giving your answer in its simplest form.

No hints on this one — its full written solution is with the answer.

2
Evaluate 514−213.\displaystyle 5 \frac{1}{4}-2\frac{1}{3}.

No hints on this one — its full written solution is with the answer.

3
Evaluate 712×135\displaystyle 7 \frac{1}{2} \times 1\frac{3}{5}
Simplify your answer fully.

No hints on this one — its full written solution is with the answer.

4
Evaluate 334÷712\displaystyle 3 \frac{3}{4} \div \frac{7}{12}
Give your answer in its simplest form.

No hints on this one — its full written solution is with the answer.

5
Evaluate 23(34+212)\displaystyle \frac{2}{3} \left( \frac{3}{4} + 2\frac{1}{2}\right)
Give the answer in its simplest form.

No hints on this one — its full written solution is with the answer.

6
Evaluate 412−123+214\displaystyle 4\frac12-1\frac23+2\frac14
Give your answer in its simplest form.

No hints on this one — its full written solution is with the answer.

7
Evaluate 247÷12\displaystyle 2\frac47\div 12
Give your answer in its simplest form.

No hints on this one — its full written solution is with the answer.

8
2014 P1 Q1
2 Marks
Evaluate 512×229.\displaystyle \frac{5}{12} \times 2\frac{2}{9}.
Give the answer in simplest form.
9
2015 P1 Q1
2 Marks
Evaluate 615−213.\displaystyle 6 \frac{1}{5}-2\frac{1}{3}.
10
2016 P1 Q2
2 Marks

Evaluate 34(13+27)\displaystyle \frac{3}{4}\left(\frac{1}{3}+\frac{2}{7}\right).
Give your answer in its simplest form.

11
2017 Spec P1 Q1
Evaluate 238÷516.\displaystyle 2\frac{3}{8} \div \frac{5}{16}.

No hints on this one — its full written solution is with the answer.

12
2017 P1 Q3
2 Marks

Evaluate 156÷34.\displaystyle 1\frac{5}{6}\div\frac{3}{4}.
Give your answer in its simplest form.

13
2018 P1 Q1
2 Marks
Evaluate 213+45.\displaystyle 2 \frac{1}{3}+\frac{4}{5}.
14
2019 P1 Q2
2 Marks

Evaluate 38×157.\displaystyle \frac{3}{8} \times 1\frac{5}{7}.
Give your answer in its simplest form.

15
2021 P1 Q2
Evaluate 512−127.\displaystyle 5 \frac{1}{2}-1\frac{2}{7}.

No hints on this one — its full written solution is with the answer.

16
2023 P1 Q1
2 Marks
Evaluate 216÷89.\displaystyle 2 \frac{1}{6} \div \frac{8}{9}.
Give your answer in its simplest form.
17
2024 P1 Q1
2 Marks
Evaluate 323−114.\displaystyle 3 \frac{2}{3}-1\frac{1}{4}.
18
2025 P1 Q1
2 Marks
Evaluate 245×27.\displaystyle 2\frac{4}{5} \times \frac{2}{7}.
Give your answer in its simplest form.
19
2026 P1 Q5
2 Marks
Sam walked 234\displaystyle 2\frac{3}{4} miles to a park and then walked a further 123\displaystyle 1\frac{2}{3} miles to a shop.
Calculate the total distance Sam walked.

Keep practising

More fractions questions

New questions, modelled on past paper questions and checked against their marking instructions. Not reprints — you have not seen these before.

Practice questions courtesy of Maths.scot. Full written solutions are on his site — the links above go straight to them.

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