A worksheet on evaluating square and cube roots of integers, decimals and fractions and the value of expressions involving such roots. Solutions are included.

This square and cube roots maths worksheet is a premium, no-prep activity testing rational numbers, indices, and reverse radical arithmetic. Perfect for KS3/KS4.

Ensure your secondary school classes master index laws and radical values with this comprehensive square and cube roots maths pack!
This resource provides high-density practice problems that test a student’s numerical agility. It covers everything from basic integers to trickier decimal and fractional radicals, forcing students to apply inverse notation rules effectively.

Pack Breakdown
• Integers & Large Values: Straightforward evaluations of square roots and cube roots from 0 up to 1,000,000.
• Decimals & Fractions Mastery: Simplification of fractional values (e.g., roots of 4/25) and decimal notation (e.g., roots of 1.44) to stretch mastery skills.
• Inverse Calculations: Direct application of root laws where exponents and indices cancel out radical symbols cleanly.
• Combined Operations: Complex multi-step equations requiring calculations involving coefficients and multiple root signs alongside addition and subtraction.
• Step-by-Step Solutions: Complete worked answers are attached to support quick student self-marking or effortless teacher grading.

Key Stage & Exam Alignment
• Key Stage 3 (KS3): Builds fluency evaluating roots, squares, cubes, and accurate order of operations.
• Key Stage 4 (KS4) / GCSE Maths: Excellent review material for non-calculator arithmetic components, index laws, and surd preparation foundations.