Primary School · Mathematics

Fractions (Proper fractions, Improper fractions and Mixed numbers): Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Fractions (Proper fractions, Improper fractions and Mixed numbers).

10 questions23 marksFree, no account

Question 1

1 mark

Which of the following describes a proper fraction?

Question 2

1 mark

Consider the following list of numbers:
\( \frac{11}{4} \), \( 2\frac{1}{2} \), \( \frac{9}{4} \)
Arrange them in ascending order.

Question 3

1 mark

Which of the following fractions has a value greater than \( 2\frac{1}{4} \) but less than \( \frac{10}{4} \)?

Question 4

1 mark

Which of the following values is equal to the mixed number \( 3\frac{2}{5} \)?

Question 5

1 mark

Which of the following fractions is in its lowest terms?

Question 6

2 marks

Convert the improper fraction \(\frac{13}{5}\) into a mixed number.

Write your answer out first, then check it against the worked solution.

Question 7

3 marks

Express the mixed number \(2\frac{3}{5}\) as an improper fraction. Show your steps.

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Question 8

5 marks

Consider the three numbers: \( \frac{19}{4} \), \( 4\frac{5}{6} \), and \( \frac{14}{3} \). Find the difference between the sum of the largest and smallest numbers and the remaining number. Express your answer as a mixed number in its simplest form.

Write your answer out first, then check it against the worked solution.

Question 9

3 marks

Look at the fraction \( \frac{7}{4} \).
a) Is this a proper fraction or an improper fraction? Explain why.
b) Convert \( \frac{7}{4} \) into a mixed number.

Write your answer out first, then check it against the worked solution.

Question 10

5 marks

Arrange the following numbers in ascending order: \( \frac{9}{4}, 2\frac{1}{4}, \frac{5}{2}, 2\frac{3}{8} \). Show your working clearly.

Write your answer out first, then check it against the worked solution.

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