Grade 8 Percentages Worksheets β Discounts & Tax PDF
Eighth grade is where percentages meet the real world: sale prices, tax, and working a discount backwards to the original price. Seven sub-skills are offered at this grade and the page opens on Discount and Tax, where the level control steps from How much is saved, to The price you pay, to Discount then tax. Reverse Percents works a discount backwards to recover the starting price, so between them students practise the exact calculations they will use as shoppers and consumers.
Pick the difficulty, size the sheet with the question-count stepper, and print with or without an answer key. The shareable link locks in the exact problems, so a worksheet you build today can be reused for revision or handed to a whole class unchanged.
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Percentages Β· Grade 8
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Grade 8 Β· 3 pages Β· A4More Grade 8 percentages skills
Each one generates a different kind of question, with its own three levels and answer key.
- Discount and TaxShop problems: what you save, what you pay, and tax on top.
- Percent Increase and DecreaseApply a percent rise or fall and give the new amount.
- Find the Percent ChangeGiven an old price and a new one, find the percent change.
- Reverse PercentsWork backwards from a sale price to the price before the change.
- Find the PercentWork out what percent one number is of another.
- Find the WholeGiven a part and the percent it stands for, find the whole amount.
- Simple InterestInterest on savings and loans, using interest = amount x rate x time.
What each level generates
Grade 8 discount and tax β the exact skill behind each difficulty setting, straight from the generator.
- Level 1How much is saved
- Level 2The price you pay
- Level 3Discount then tax
Grade levels follow the progression common to most English-language curricula β not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence β
What Grade 8 percent problems cover
By Grade 8, students are expected to solve real-world percent problems fluently: finding a sale price after a discount, a final price after tax, the total when several discounted items are bought, and the original price hidden behind a sale. Discount and Tax walks through the first part of that progression β the saving, then the price you pay, then a discount followed by tax β and Reverse Percents covers the rest.
The key idea is that a discount and the price you pay are two sides of one calculation: 30% off means you pay 70%, so a $40 item costs 0.7 Γ 40 = $28. Teaching the "multiplier" β 0.7 for a 30% cut, 1.15 for a 15% tax β is faster and less error-prone than finding the change and then adding or subtracting it, and it sets up the reverse problems students meet on the Reverse Percents sheet.
Reverse percent and the common traps
The reverse problem β recover the original price from the sale price β is the one students trip on most. The trap is taking the discount off the sale price, which is the wrong base. If an item is 20% off and now costs $40, the $40 is 80% of the original, so the original is 40 Γ· 0.8 = $50, not $40 plus 20%. Always ask "what percent is this figure?" before dividing.
The two-step total hides a similar slip: discount the price of one item first, then multiply by the quantity β never multiply first and discount the lump sum, unless every item gets the same cut. Use short sets of 8β12 problems, tick the answer key so students can check each step, and press Shuffle for fresh real-world figures whenever a class needs another round.
Frequently asked questions
βΈWhat percentage topics are covered in Grade 8?
Grade 8 applies percentages to real money situations: discounts and sale prices, tax, two-step totals where a discount is followed by tax, and reverse percent β recovering an original price from a sale price. Discount and Tax covers the first three, and Reverse Percents covers the last.
βΈHow do you calculate a discount or sale price?
Subtract the discount percent from 100 to get the percentage you pay, then multiply. For 25% off a $60 item you pay 75%: 0.75 Γ 60 = $45. The price you pay level of the Discount and Tax sheet drills exactly that.
βΈHow do you find the original price from a sale price?
Work out the percent actually paid β 100 minus the discount β then divide the sale price by it as a decimal. After 20% off you paid 80%, so a $40 sale price means 40 Γ· 0.8 = $50. That reverse-percent skill is the Reverse Percents sheet.
βΈHow do you find the total for several discounted items?
Discount the price of one item first, then multiply by how many are bought. A $20 item at 10% off is 0.9 Γ 20 = $18 each, so three cost 3 Γ 18 = $54. The Discount and Tax sheet practises the discount step; press Shuffle for a new set.
βΈCan I reuse the same worksheet for a whole class?
Yes. The shareable link reproduces the identical problems and answer key for everyone who opens it, so you can set the same real-world percentage sheet across a class or re-test the same student fairly weeks later.