Fractions of a Shape: Free KS2 Pizza Worksheet

What this worksheet teaches

This sheet introduces fractions as equal parts of a whole. The pizza is divided into eight identical slices, which gives children a clear visual anchor: the bottom number of a fraction (the denominator) tells you how many equal parts the whole has been split into, and the top number (the numerator) tells you how many of those parts you have. By colouring four slices children can see that four out of eight is the same amount as one half, which gently introduces the idea of equivalent fractions explored more formally later in Year 3 and Year 4. Working from a single shape keeps the focus on the meaning of the fraction rather than on calculation.

How to use it at home or in class

Print the sheet and read each instruction together before your child picks up their colouring pencils. Encourage them to count the slices first and confirm there are eight equal parts, then colour exactly the number asked for. After colouring, ask them to say the fraction aloud before writing it: "three out of eight, so three eighths." If a child finds writing the fraction tricky, prompt them with the two questions every fraction answers — "How many equal parts altogether?" and "How many are coloured?" For an extra challenge, ask whether any coloured amount could be named a different way, such as two eighths also being one quarter.

Unit and non-unit fractions explained

A unit fraction has a numerator of one, such as one half, one quarter or one eighth — it is a single equal part of the whole. A non-unit fraction has a numerator greater than one, such as three eighths or five eighths, meaning several equal parts. Year 3 children are expected to recognise, find and name both types, and this worksheet practises both: some questions ask for a single slice (a unit fraction) and others for several slices (a non-unit fraction). Naming non-unit fractions confidently is an important step towards comparing fractions and finding equivalents in Year 4.

Common misconceptions to watch for

A frequent error is counting the coloured slices for the denominator instead of the total number of equal parts — remind children that the bottom number never changes for this pizza because it is always cut into eight. Another is assuming any cut shape shows fractions; stress that the parts must be equal, which is why the pizza is cut into matching triangles. Finally, some children write the fraction the wrong way up. A helpful rule of thumb is that the larger number is usually on the bottom because the whole has more parts than the few you have coloured.

Frequently asked questions