Year 5 Fractions Worksheets with Answers (PDF)

In Year 5, children build on their understanding of equivalent fractions to add and subtract fractions with different denominators, focusing on denominators that are multiples of the same number (such as thirds and sixths, or fifths and tenths). They learn to change one fraction into an equivalent form so that both fractions share a common denominator, allowing them to calculate the total or difference of the numerators.

A frequent mistake is adding or subtracting both the top and bottom numbers straight across—for example, calculating 1/4 + 3/8 as 4/12. This typically happens when children view the numerator and denominator as separate whole numbers rather than recognizing that the denominator represents the size of the parts, which must be equal before amounts can be combined.

Worksheet tasks provide direct practice through Add fractions with unlike denominators and Subtract fractions with unlike denominators. Word problems such as How much altogether? Unlike fractions challenge children to apply these steps to everyday scenarios, requiring them to convert parts to the same size before solving.

In Year 5, children build on earlier work with two-place decimals to add and subtract numbers with up to three decimal places. They calculate sums and differences involving values down to the thousandths place, applying these skills to both pure number calculations and real-life measures.

A common error occurs when children line numbers up by their right-hand digit rather than by the decimal point. When calculating with numbers that have different lengths past the decimal point, this leads them to mistakenly add tenths to hundredths or thousandths instead of keeping values in their correct place-value columns.

Practice tasks include pure arithmetic where children add decimals and subtract decimals using column methods, ensuring decimal points align. They also solve applied questions where they add masses written as decimals, such as combining weights recorded in kilograms.

In Year 5, children build on their understanding that per cent represents the "number of parts per hundred". They use known fraction and decimal equivalents—such as 1/2 (50%), 1/4 (25%), and fractions with denominators of 5, 10, or 25—to calculate percentages of quantities. Learners apply this multiplicative thinking to find basic percentages of whole numbers, extending their reasoning to amounts greater than 100% as well as tiny values less than 1%.

A common mistake occurs when children work outside the familiar 1% to 100% range. When asked to find a percentage greater than 100%, such as 150%, pupils often automatically expect the result to be smaller than the starting amount and inadvertently divide or calculate only the 50% remainder. Similarly, with percentages less than 1% (such as 0.5%), children frequently confuse the decimal with 50% and calculate half of the entire quantity rather than half of one-hundredth.

Tasks provide direct practice through open-ended calculations in Find the percent of a number and multiple-choice formats in Percent of a number — choose the answer. Children also work on targeted templates such as A percentage greater than 100 and A percentage less than 1 to build confidence across all scale sizes.