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Part of a whole – practice for Years 4–5

Sample questions on Part of a whole with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 4–5
Curriculum area
Number and algebra

Question types: Fraction of a number

Rule: Part of a whole

The denominator (bottom) says into how many equal parts you split the whole; the numerator (top), how many you take.

Divide by the denominator first, then multiply by the numerator.

Example: 3/5 of 35: 35 ÷ 5 = 7, 3 × 7 = 21

Watch out: Don’t mix up the numbers: for 3/5 of 35 you divide by five, not by three.

Sample questions

  1. Question 1 Easy

    What is 3/6 of 54?

    Show the solution
    Answer: 27

    How it works: One part: 54 ÷ 6 = 9; 3 parts: 3 × 9 = 27

  2. Question 2 Normal

    What is 1/2 of 16?

    Show the solution
    Answer: 8

    How it works: Split the whole into 2 equal parts: 16 ÷ 2 = 8

  3. Question 3 Hard

    The trip to the cottage is 20 km long. We have already driven 5/10 of the way. How many kilometres have we driven?

    Show the solution
    Answer: 10

    How it works: One part: 20 ÷ 10 = 2; 5 parts: 5 × 2 = 10

Related topics

All Maths topics

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