Percentages - Percentages (missing values) - Worksheet

This worksheet is designed to help children in Year 6 master the concept of percentages, particularly when it comes to finding missing values. The National Curriculum objective is to recall and use equivalences between simple fractions, decimals, and percentages in various contexts. The resources provided include differentiated sheets and teaching slides to cater to different learning abilities. Key vocabulary for the lesson includes terms such as 'fraction', 'decimals', 'percentages', 'amount', 'whole', 'problem', 'efficient', and 'value'. Through the exercises, children will apply their understanding of percentages to determine either the missing whole number or the missing percentage when other values are provided. They are encouraged to use bar models as a visual aid to comprehend the relationships between the given percentage, amount, and the whole.

The lesson encourages students to explore multiple methods for solving problems, emphasizing that some approaches may be more efficient than others. Key questions prompt learners to think about how to work out the whole if a percentage is known, and vice versa, as well as which diagrams could be helpful in visualising the problem. The worksheet includes fluency exercises where children use bar models to find a number given its percent, filling in missing numbers in calculations. For example, if 5 is 10% of a number, children would deduce that the number is 50. The exercises progress in complexity, with further problems providing practice in calculating different percentages of numbers and identifying patterns between the questions. The worksheet also includes answers for self-assessment and to facilitate understanding of the concepts involved.