Help your students prepare for their Maths GCSE with this free powers and roots worksheet of 44 questions and answers
Powers, or exponents, are numbers written in superscript and denote repeated multiplication. The simplest case is square numbers where a superscript 2, this shows that a number is multiplied by itself. For cube numbers, with a superscript 3, the multiplication is carried out three times and so on for any integer (whole number) power.
Rooting is the inverse operation. The square root is the inverse of squaring, the cube root is the inverse of cubing, and so on. The root finds the original number that was multiplied.
The laws of indices extend these ideas to explain what happens when we multiply, divide or carry out other operations on expressions containing powers, both numeric and algebraic. We can extend these ideas further to using negative numbers or fractions as powers, and estimating powers and roots using known facts.
Looking forward, students can then progress to additional number worksheets, for example a fractions worksheet or a decimals worksheet.
For more teaching and learning support on Number our GCSE maths lessons provide step by step support for all GCSE maths concepts.
There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.
Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.