Free Printable Fraction Worksheets
Fraction Riddles (harder)

Welcome to the Math Salamanders Free Printable Fraction Worksheets: Fraction Riddles (harder).

Here you will find some printable fraction riddles to help your child understand about improper and equivalent fractions are and solve problems involving these fractions.

These Fraction Riddles are aimed at children around 4th and 5th grade.

Fraction Learning

Fractions is an area that a lot of kids find hard to understand. One of the problems with fractions is that they have different meanings depending on the context.

For example, you can eat half an apple or cut an orange into fourths. But you can also put the number one-half on a number line, measure a line 3 1/2 cm long, or find a fourth of 24.

Once the concept of fractions as numbers and fractions as parts of a whole has been understood, your child will be well on their way to developing a sound understanding of fractions.

Free Printable Fraction Worksheets

Fraction Riddles (harder)

Useful Fraction Definitions

What is a fraction?

A fraction is a number which contains parts of a whole.

Fractions can be smaller than or larger than one (one whole).

A fraction is a number with the form   n d

where n and d are two numbers.

The number n above the line is called the numerator.

The number d below the line is called the denominator.

Equivalent Fractions

Equivalent fractions are fractions which have the same value as each other.

A quick way to tell whether or not two fractions are equivalent is to change them both into decimals using a calculator.

If the two decimals are identical, then the fractions have the same value.

The printable fraction page below contains more support, examples and practice using equivalent fractions.

Proper and Improper Fractions & Mixed Numbers

A fraction is a number with the form   n d

If the numerator is smaller than the denominator (if n<d), then the fraction is called a proper fraction, and its value is less than 1.

If the numerator is greater than the denominator (if n>d), then the fraction is called an improper fraction, and its value is greater than 1.

If the numerator is equal to the denominator, then the fraction's value is equal to 1.

A mixed number (or mixed fraction) is a number that has a whole number part to it, and a fraction part to it.


3 7,   2 10 and   17 26 are all proper fractions.

31 5,   15 10 and   37 23 are all improper fractions.

3 1 5,   1 2 3 and   12  7  10 are all mixed numbers or mixed fractions.

Free Printable Fraction Worksheets - Fraction Riddles (harder)

The worksheets on this page consist of 3 or 4 clues and a set of 8 possible answers. Using the clues, you have to work out which of the answers are correct.

These riddles are a great way to get children thinking at the start of a lesson, or used to check children's understanding at the end.

Using these sheets will help your child to:

  • know the language of fractions;
  • order mixed numbers and fractions;
  • know when one fraction is equivalent to another;
  • convert an improper fraction to a mixed number;
  • solve problems involving more than one criteria.

Fraction Riddles (harder)

Fraction Riddles 4th Grade

The puzzles in this first section mainly involve equivalent fractions.

The clues test if children know when a fraction is more or less than a half.

The terms 'multiple' and 'factor' are also used in these sheets.

These free printable fraction worksheets are suitable for children at around a 4th grade level.

Fraction Riddles 5th Grade

In this section, there is a much wider range of improper fractions and mixed numbers to compare.

The clues will test whether children can convert improper fractions to mixed numbers.

The concept of an improper fraction being more or less than a given amount is also explored.

Each of the free printable fraction worksheets comes with an answer sheet.

Useful Fraction Strips Resources

These strips will help children to answer some of the clues and work out whether or not the fraction is larger or smaller than a half.

There are a variety of fraction strips with fractions equivalent to halves, thirds, fourths and fifths.

Looking for some easier riddles?

The Fraction Riddles on this webpage are at a simpler level than those here.

Simple comparisons are made between fractions and whole numbers, and the terms 'numerator' and 'denominator' are introduced.

Fourth Grade Fraction Worksheets

Here you will find a range of free printable 4th Grade Fraction Worksheets.

At 4th Grade level, children are introduced to different ways of looking at fractions, from fractions as points on a number line, to fractions being parts of a whole. They understand different unit fractions, e.g. a half, a quarter, a Fourth, etc, and can locate these on a number line.

Using these sheets will help your child to:

  • position different fractions on a number line;
  • understand equivalent fractions;
  • understand what a mixed number is;
  • begin to convert fractions to decimals and decimals to fractions.

All the Fourth Grade Math Worksheets in this section are informed by the Elementary Math Benchmarks for Fourth Grade.


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