Powers & RootsWorksheet (PDF)
"Powers & Roots as a free worksheet: three difficulty levels with the solutions on page 2 — just print or save as PDF."
Switch the level — the sheet is rearranged instantly. · Same difficulty, new problems
Best printed right away or saved as a PDF — the browser print dialog does both.
Powers & Roots · Easy · Sheet A
Solutions · Powers & Roots
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What you practice here
Squares, cubes and their roots, plus the first exponent laws (a^m × a^n). Level 3 mixes cube roots and exponent addition for solid upper-school practice.
Six worksheets per topic
Every topic comes in three difficulty levels and two variants — sheet A and sheet B — six different worksheets in total. Both variants hold different problems at the same difficulty, so you can practice again without repeating tasks. Complete solutions are always on page 2.
Practice online too
Math duels, levels and badges — right in the browser, no install needed.
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Tips for parents and teachers
- Regularity beats volume: one sheet three times a week beats five sheets in one sitting. Ten to fifteen minutes of focused practice is plenty.
- Accuracy first, speed later: at the start, being right matters. Once two thirds of the problems are solved reliably, timing the sheet adds motivation — and shows progress at a glance.
- Discuss mistakes instead of just marking them: ask your child how they worked it out. Explaining the calculation reveals thinking errors on its own — and builds better strategies than simply checking answers.
Frequently asked questions
Are the worksheets free?
Yes. Every worksheet on Numopia is completely free — no sign-up, no subscription, no hidden limits. Open a sheet, print it or save it as a PDF.
How do I save a worksheet as a PDF?
Click "Print / save as PDF" and choose "Save as PDF" in the print dialog. The sheet is laid out for A4 paper; the solutions automatically land on page 2.
Are solutions included?
Yes, every variant includes a complete solution page. It prints as the second page and can simply be set aside for checking.
Which grades is this topic suitable for?
The topic Powers & Roots fits grades 8–9. The three difficulty levels inside the topic help you start exactly right — begin with level 1 and move up once it flows.