Squares, Cubes and Roots Mastery
An interactive lesson on screen. Your child works through worked examples, practises on their own, then tests themselves with questions that get harder as they go.
About this lesson
By the end of this lesson your child can look at any squares, cubes or roots question, a square number, a square root, an estimate between two whole numbers, a cube or a cube root, and know which method it needs. The lesson builds each one as a shape first, so 5² is the area of a square and 4³ is the number of cubes inside a box.
Topics covered:
- Square numbers, the area of a square with a given side
- Square roots, working back from the area to the side
- Estimating a square root between two whole numbers, then to one decimal place
- Cube numbers, counting one layer then the layers going back
- Cube roots, working back from the volume to the edge
- Rapid recall of the square and cube numbers exam papers keep asking for
- Combining powers and roots in one calculation, brackets included
Your child works through this lesson on any screen. They click to reveal each step of a worked example, try the practice questions on paper, then click to check their own answer.
How it's structured:
- Each unit opens with a worked example your child clicks through line by line, then practice questions colour-coded easy, medium and hard
- 108 questions in total, each with a click-to-reveal answer and a reveal-all option
- A final 20-question mixed challenge pulling from all 7 units, mixing squares, roots and cubes the way an exam paper does
Four hands-on tools sit inside the lesson. Your child sets a side and watches the square build row by row, grows a square until its area hits a target, clicks a number line to place a root between two whole numbers, and counts a cube one layer at a time to see where the volume comes from. A child who has built 4³ out of 16 cubes and 4 layers stops writing 12.
Use this if:
- Your child is in Year 5 to Year 11 and needs squares, cubes and roots to be automatic
- You're preparing for the 11+, where square and cube numbers turn up inside longer questions
- Your child is doing GCSE Foundation and keeps reading 8² as 16
- You want a resource your child can check their own work with, not one more thing on your to-do list
Built by an experienced maths teacher with over 3,000 hours of one-to-one tutoring experience and a Master's in Education.
Format: Interactive digital lesson, link sent by email straight after purchase.
Suitable for: Year 5 to Year 11, 11+, KS2, KS3, KS4, GCSE Foundation.
Who this is for
Built for students who want to practise independently, at their own pace, with clear examples and instant feedback rather than a static worksheet.
What's included
Worked examples
See the method explained step by step before trying it yourself.
Guided practice
Work through questions with answers hidden until you're ready to check.
Exam-style questions
Split easy to hard, so your child is always working at the right level.
How it works
Buy the lesson
Complete checkout securely through Shopify.
Get your link by email
Your lesson link lands in your inbox straight after payment.
Work through it on screen
Open the link on any device and start straight away.
FAQs
How do I access the lesson?
You'll get an email with your lesson link as soon as payment goes through. Click it to open the lesson in any browser, no login and no app to install.
How does the marking work?
There's no typing answers into a box. Your child works it out on paper, then clicks to reveal the correct answer and checks their own work. Full working is shown too, not just the final answer, so mistakes are easy to spot.
Does it work on a phone or tablet?
It works best on a tablet or laptop, where there's more room to read the examples and questions. It'll open on a phone too, but the text and diagrams can feel quite small on a smaller screen.
Can I use the lesson more than once?
Yes. There's no limit on how many times you open the link, so it's there for revision right up to the exam.
What if I lose the link or don't get the email?
Email info@shlc-tutor.co.uk and we'll resend it straight away.
Ready to start?
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