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Powers and Roots

Calculations Using Indices (A) WORKSHEET

Suitable for Year groups: Year 7, Year 8
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Square numbers, cube numbers, square roots, cube roots.
Learning Objective: Applying indices to integers, fractions and decimals

Calculations Using Indices (A) WORKSHEET DESCRIPTION

Following on from Finding Square and Nth Roots, this worksheet asks learners to consolidate their knowledge of powers and roots by simplifying some calculations and applying them to integers and fractions.

Section A begins the worksheet with a few calculations in fractions to simplify and evaluate.

Section B then requires the learner to recall some powers of 2, 3, 4,5 and 6, applying powers and roots to integers, fractions and decimals.

Section C presents a match-up task with some more complicated indices problems. A final extension problem asks learners to change the base of some numbers in index form.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Calculations Using Indices worksheet fit for students in year 8 and year 9

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Frequently Asked Questions

Students should have a solid understanding of square numbers, cube numbers, square roots, and cube roots before tackling these problems. This foundation knowledge is essential because the worksheet builds upon these concepts when applying indices to different types of numbers. Without this prerequisite knowledge, learners may struggle with the more complex calculations involving integers, fractions and decimals.