Year 7 Powers and Roots Worksheets
Add and Subtract in Standard Form

Calculating Using Standard Form

Calculations Using Indices (A)

Calculations Using Indices (B)

Converting from Standard Form

Cube Numbers

Estimating Powers and Roots

Estimating Square Roots

Finding Square and Nth Roots

Manipulating Standard Form (A)

Manipulating Standard Form (B)

Multiplying and Dividing by 10, 100 and 1,000 Codebreaker

Multiplying and Dividing by Powers of Ten (A)

Multiplying and Dividing by Powers of Ten (B)

Multiplying and Dividing by Powers of Ten 15 Minute Challenge

Multiplying and Dividing by Ten

Powers of Ten Problem Solving

Powers, Roots and Indices

Recognising Standard Form

Spotting Standard Form

Square Numbers

Square Numbers, Cube Numbers and Other Powers

Standard Form (A)

Standard Form (B)

Standard Form Metric Units

Standard Form Problem Solving

Grade 7 Powers and Roots Worksheet PDF Collection with Step-by-Step Solutions
Our Cazoom Maths expert team has observed that advanced number maths skills can really be overwhelming for your young students who are transitioning from KS2 to KS3. To make this learning process smooth and convenient, we have created our worksheets in ready-to-use, printable PDF format. Each of these worksheets includes separate answer sheets to facilitate an easy checking process. Download our maths activities right now to provide the extra help your young learners need!
Complete Powers and Roots Skills Breakdown for Year 7 Students
Powers are simply when we multiply a number by itself a certain number of times - like 3² means 3 × 3, and 2³ means 2 × 2 × 2. Roots work the opposite way, asking "what number multiplied by itself gives us this answer?" - so √16 = 4 because 4 × 4 = 16.
With our number activities, your secondary school students start with simple squares and cubes, then progress to more complex roots and negative powers. The worksheets include plenty of practice with index notation, which students find particularly satisfying once it clicks. We've also included concepts like-
• Standard Form
• Powers and Roots
• Powers of Ten
• Indices
How Powers and Roots Worksheets Boost Year 7 Mathematics Confidence
Our team of experts have observed that KS3 students who get regular practice with powers and roots perform significantly better in their assessments. The concepts build on each other, so solid foundations here support everything that comes later in algebra and beyond. These worksheets give students the repetition they need without being boring or repetitive.
Key benefits we see in the classroom:
• Improved confidence with mathematical notation and symbols
• Better understanding of inverse operations and their relationships
• Stronger number sense that supports advanced algebra topics
• Enhanced problem-solving skills through varied question types
• More success with calculator and non-calculator exam questions
Where Year 7 Students Actually Use Powers and Roots Skills
There are actually loads of practical applications of these important number concepts that they encounter regularly. In science lessons, they use powers for area and volume calculations. In technology, powers help explain file sizes and data storage. Even in art and design, understanding square relationships helps with scaling and proportions.
Where Year 7 students apply these skills:
• Science experiments involving area, volume, and measurement conversions
• Technology lessons exploring computer memory and data processing
• Geographers work with map scales and distance calculations
• Art projects requiring accurate scaling and proportion work
• Sports statistics and performance analysis in PE lessons
• Music lessons exploring frequency patterns and sound waves