Grade 8 Percents Mixed Review
Grade 8 percents mixed review sheet: 30 problems on percent increase and decrease, simple interest, tax, tip and discount, percent of a number.
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Three different problem sets — same skill, same layout, fresh numbers.
Preview — Set A
Solve each problem. Read carefully — the problems change shape as you go.
- 1.A value changes from 400 to 700. What is the percent increase?
- 2.22% of 391 =
- 3.20% tax is added to a $43.00 bill. What is the total?
- 4.Simple interest on $2600 at 6% per year for 4 years =
- 5.A value changes from 400 to 600. What is the percent increase?
- 6.22% of 499 =
- 7.A $92.00 item is 30% off. What is the sale price?
- 8.Simple interest on $1100 at 3% per year for 5 years =
- 9.A value changes from 400 to 360. What is the percent decrease?
- 10.91% of 699 =
- 11.A $15.00 item is 40% off. What is the sale price?
- 12.Simple interest on $1700 at 2% per year for 5 years =
- 13.A value changes from 50 to 60. What is the percent increase?
- 14.52% of 463 =
- 15.40% tax is added to a $51.00 bill. What is the total?
- 16.Simple interest on $2000 at 3% per year for 5 years =
- 17.A value changes from 150 to 120. What is the percent decrease?
- 18.29% of 261 =
- 19.A $68.00 item is 20% off. What is the sale price?
- 20.Simple interest on $1100 at 3% per year for 3 years =
- 21.A value changes from 100 to 0. What is the percent decrease?
- 22.88% of 94 =
- 23.A $120.00 item is 15% off. What is the sale price?
- 24.Simple interest on $2200 at 3% per year for 5 years =
- 25.A value changes from 150 to 262.5. What is the percent increase?
- 26.3% of 127 =
- 27.25% tax is added to a $80.00 bill. What is the total?
- 28.Simple interest on $2900 at 2% per year for 2 years =
- 29.A value changes from 80 to 84. What is the percent increase?
- 30.43% of 561 =
What this worksheet covers
There are 30 percents problems here — one page to work, one page of answers to check against — and Sets B and C repeat the layout with different numbers. Within that, each problem arrives as a few sentences of context rather than a bare expression and operands run to two decimal places, so the decimal points have to be lined up rather than the right-hand digits. Problems 11 and 21, for instance, are "A $15.00 item is 40% off. What is the sale price?" and "A value changes from 100 to 0. What is the percent decrease?". The sheet sits inside Common Core 7.RP.3, in the grade 7 Ratios & Proportional Relationships strand.
Skills practised
At grade 8, percents is about percent change, simple interest, and multi-step percent problems, and this sheet takes one slice of that. The skills on the page: percent increase and decrease, simple interest, and tax, tip and discount. Concretely, the sheet tests whether a student can read a situation and choose an operation before computing, keep the decimal points aligned, and carry money notation through to the answer. 28 different answers appear across the 30 problems, so a student cannot copy one result down the page.
About the mixed review format
Mixed review changes the problem shape as the page goes on, so the 30 problems here cover four different skills rather than one procedure repeated; problem 11, "A $15.00 item is 40% off. What is the sale price?" sits next to problems of a different kind. Conversions, percent-of and reverse problems on one page keep the student reading the question, not the pattern.
Set A, Set B and Set C
All three sets are produced by the site's deterministic generator from a fixed seed, so they are the same every time the site is built and the answer keys are exact. Where Set A's problem 16 is "Simple interest on $2000 at 3% per year for 5 years", Set B's is "Simple interest on $3000 at 2% per year for 3 years".
How to use this worksheet
Have the student estimate before computing, then compare. At grade 8 an percents answer that is wildly off should announce itself, and building that reflex matters as much as the 30 answers. Ask the student to re-work one missed percents problem from scratch on Set B rather than correcting it in place; the second attempt shows whether the method changed.
One mistake to watch for
Percent change is computed against the new value instead of the original. Problem 21 on this grade 8 mixed review page, "A value changes from 100 to 0. What is the percent decrease?", is where to look for it.
The reference quantity has not been identified.
Write "change ÷ original" above the problem every time, and label which number is the original.
Other grade 8 percents formats
The same skill in the other formats available at this grade.
- Drill — Grade 8 Percents Drill, 30 problems
- Timed Drill — Grade 8 Percents Timed Drill, 60 problems
- Missing Number — Grade 8 Percents Missing Number, 24 problems
- Word Problems — Grade 8 Percents Word Problems, 10 problems
A step either side
The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.
- Grade 7 Percents Mixed Review — grade 7, 30 problems
Mixed Review sheets in other grade 8 topics
No paywall and no account — download any set of this grade 8 percents mixed review, and the answers for all 30 problems are in the matching key.