Home
1.4
1.4

Powers & roots

Squares/cubes/roots; index laws; prime factorisation; HCF/LCM.

Syllabus Statements
  • Identify square numbers and cube numbers
  • Calculate squares, square roots, cubes and cube roots
  • Use index notation and index laws for multiplication and division of positive and negative integer powers including zero
  • Express integers as a product of powers of prime factors
  • Find highest common factors (HCF) and lowest common multiples (LCM)

1.4.1 Squares, Cubes and Roots

Corbett Maths · Video

Powers and Roots Video

Dr Austin Maths · Practise

Squares, Cubes and Roots Practice Strips

Dr Austin Maths · Practise

Squares, Cubes and Roots Decode the Joke

Dr Austin Maths · Practise

Squares, Cubes and Roots Crack the Code

Dr Austin Maths · Practise

Investigating Prime Factors of Squares and Cubes

Dr Austin Maths · Practise

Powers and Roots Revision Practice Grid

Dr Austin Maths · Practise

Simplifying Surds Using Square Numbers Fill In The Blanks

Corbett Maths Practice · Apply

Cube Numbers And Cube Roots Practice

Corbett Maths Practice · Apply

Cube Root Pdf Exercise

1.4.2 Indices

Corbett Maths · Video

Indices (Basic and Negative)

Corbett Maths · Video

Fractional Indices

Corbett Maths Textbook · Learn

Indices  (numerical) Textbook Exercise

Corbett Maths Textbook · Learn

Indices: laws of Textbook Exercise

Dr Austin Maths · Practise

Power of Zero Practice Strips

Dr Austin Maths · Practise

Simplifying Using Laws of Indices Practice Strips

Dr Austin Maths · Practise

Simplifying Expressions with Powers Match-Up

Dr Austin Maths · Practise

Simplifying Expressions with Powers Practice Strips

Dr Austin Maths · Practise

Investigating Algebraic Powers Activity

Dr Austin Maths · Practise

Laws of Indices Practice Strips

Dr Austin Maths · Practise

Laws of Indices Odd One Out

Dr Austin Maths · Practise

Laws of Indices Match-Up

Dr Austin Maths · Practise

Algebraic Laws of Indices Practice Grid

Dr Austin Maths · Practise

Harder Indices Practice Strips

Dr Austin Maths · Practise

Harder Indices Odd One Out

Dr Austin Maths · Practise

Harder Indices Crack the Code

Dr Austin Maths · Practise

Harder Indices Match-Up

Dr Austin Maths · Practise

Algebraic Indices Practice Strips

Dr Austin Maths · Practise

Solving Equations with Indices Practice Strips

Dr Austin Maths · Practise

Simplifying Expressions Involving Brackets and Powers Fill in the Blanks

Corbett Maths Practice · Apply

Laws Of Indices 2 Practice

1.4.3 Product of Prime Factors

Corbett Maths · Video

Product of Prime Factors

Dr Austin Maths · Practise

Prime Factors and Factor Trees Practice Strips

Dr Austin Maths · Practise

Prime Factors, HCF and LCM Guided Revision Grid

Dr Austin Maths · Practise

Simplifying Surds Using Prime Factors Fill In The Blanks

Dr Austin Maths · Practise

Prime Factors Puzzle

Dr Austin Maths · Practise

Investigating Prime Factors Activity

Dr Austin Maths · Practise

Prime Factor Decomposition with Factor Trees Fill in the Blanks

Dr Austin Maths · Practise

More Prime Factor Decomposition with Factor Trees Fill in the Blanks

Dr Austin Maths · Practise

Prime Factor Decomposition Practice Strips

Dr Austin Maths · Practise

LCM and HCF from Prime Factorisation Practice Strips

Corbett Maths Practice · Apply

Lcm And Hcf Using Product Of Primes Pdf Exercise

Corbett Maths Practice · Apply

Product Of Primes Lcm Hcf Practice

1.4.4 HCF and LCM

Corbett Maths · Video

HCF and LCM

Dr Austin Maths · Practise

Highest Common Factor Practice Strips

Dr Austin Maths · Practise

Highest Common Factor Match-Up

Dr Austin Maths · Practise

Highest Common Factor by Listing Fill In The Blanks

Dr Austin Maths · Practise

Lowest Common Multiple Practice Strips

Dr Austin Maths · Practise

Lowest Common Multiple Match-Up

Dr Austin Maths · Practise

Lowest Common Multiple by Listing Fill In The Blanks

Dr Austin Maths · Practise

LCM and HCF Practice Strips

Dr Austin Maths · Practise

LCM and HCF Crack the Code

Dr Austin Maths · Practise

LCM and HCF Using Repeated Division Fill In The Blanks

Dr Austin Maths · Practise

LCM and HCF Using Venns Fill In The Blanks

Dr Austin Maths · Practise

Using Venns for HCF and LCM Problems Practice Strips

Dr Austin Maths · Practise

Harder HCF and LCM Problems Practice Strips

Corbett Maths Practice · Apply

Lowest Common Multiples Lcm And Highest Common Factors Hcf Practice

1.4.5 Surds

Corbett Maths · Video

An Introduction to Surds

Corbett Maths Textbook · Learn

Surds: intro, rules, simplifying Textbook Exercise

Dr Austin Maths · Practise

Rationalising the Denominator Crack the Code

Dr Austin Maths · Practise

Rationalising the Denominator Fill In The Blanks

Dr Austin Maths · Practise

Surds Revision Practice Grid

Dr Austin Maths · Practise

Rationalising the Denominator Proof Practice Strips

Dr Austin Maths · Practise

Rationalising the Denominator Practice Strips

Dr Austin Maths · Practise

Surds with Perimeter, Area and Volume Practice Strips

Dr Austin Maths · Practise

Surds with Algebra Practice Strips

Dr Austin Maths · Practise

Expanding Brackets with Surds Practice Strips

Dr Austin Maths · Practise

Manipulating Surds Practice Grid

Dr Austin Maths · Practise

Manipulating Surds Practice Strips

Dr Austin Maths · Practise

Adding and Subtracting Surds Practice Strips

Dr Austin Maths · Practise

Multiplying, Dividing and Simplifying Surds Practice Grid

Dr Austin Maths · Practise

More Simplifying Surds Practice Grid

Dr Austin Maths · Practise

Multiplying and Dividing Surds Decode the Joke

Dr Austin Maths · Practise

Multiplying and Dividing Surds Crack the Code

Dr Austin Maths · Practise

Introducing Surds Practice Grid

1.4.6 Change of Base

Corbett Maths · Video

Fractional and Negative Indices

Dr Austin Maths · Practise

Change of Base Practice Strips