Percentages: Markup & DiscountWorksheet (PDF)
"Percentages: Markup & Discount 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.
Percentages: Markup & Discount · Easy · Sheet A
Solutions · Percentages: Markup & Discount
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What you practice here
Markups and discounts: add or subtract percentages from a base value, and recover the original price after a discount — the everyday percentage skills of grades 9–10.
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.
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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 Percentages: Markup & Discount fits grades 9–10. The three difficulty levels inside the topic help you start exactly right — begin with level 1 and move up once it flows.