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Fraction word problems – practice for Years 7–9

Sample questions on Fraction word problems 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 7–9
Curriculum area
Problem solving and non-routine tasks

Question types: Word problem

Rule: Fraction word problems

A fraction of a number: divide the number by the denominator and multiply by the numerator.

Read carefully what the fraction is taken of: the whole, or what is left.

Example: A book of 160 pages, 1/8 read: 160 ÷ 8 × 1 = 20 pages

Watch out: “2/4 of the rest” is not taken of the whole route, but of what was left.

Sample questions

  1. Question 1 Easy

    There are 8 pupils in a class and 1/2 of them are girls. How many boys are there?

    Show the solution
    Answer: 4

    How it works: 1/2 of 8 = 8 ÷ 2 × 1 = 4; 8 − 4 = 4

  2. Question 2 Normal

    A book has 168 pages. Eve read 2/6 of the book on the first day and 1/8 of the book on the second day. How many pages are left to read?

    Show the solution
    Answer: 91

    How it works: 168 ÷ 6 × 2 = 56; 168 ÷ 8 × 1 = 21; 168 − 56 − 21 = 91

  3. Question 3 Hard

    Hikers walked 1/2 of the whole route on the first day, 3/5 of what was left on the second day and the last 8 km on the third day. How long was the whole route?

    Show the solution
    Answer: 40 km

    How it works: After day two 2/5 of the rest is left = 8 km, so the rest after day one is 8 ÷ 2 × 5 = 20 km. That is 1/2 of the route: 20 ÷ 1 × 2 = 40 km

Related topics

All Maths topics

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