Percent change, percent of a quantity, reverse-percentage problems, and multi-step percent scenarios like tax-plus-discount.
42
Total questions
18
Easy
15
Medium
9
Hard
Percent questions span simple ("what is 15% of 80") to genuinely tricky: successive percent changes, reverse percentages ("after a 20% discount the price was $60 — what was the original?"), and percent-of-a-percent comparisons between groups in a table.
Convert every percent operation to a multiplier: +15% is ×1.15, −20% is ×0.80. This makes successive changes a single multiplication and makes reverse problems a division (60 ÷ 0.80), not a subtraction. For comparison questions, be precise about the base — "A is 25% more than B" means A = 1.25B, and B is not 25% less than A.
Straight from the Grind1600 question bank — try each one before revealing the answer.
Correct answer: 60
The correct answer is 60. A 25% discount on $80 is 0.25 × 80 = $20. The sale price is $80 - $20 = $60.
Correct answer: C
Choice C is correct. The February price ($102) is w% of the January price ($85): 102 = (w/100)(85). Solving: w = (102 × 100)/85 = 10200/85 = 120.
Choice A is incorrect. 17 is the dollar increase, not the percentage.
Choice B is incorrect and may result from subtracting 17 from 100.
Choice D is incorrect and may result from adding 85 + 100.
Ratios, Rates & Units
Setting up proportions, converting units, and reasoning with rates — the most common word-problem machinery on the SAT Math section.
Data Distributions & Measures of Center
Mean, median, mode, range, and standard deviation — and how outliers or skew change them — read from lists, tables, and frequency plots.
Scatterplots & Two-Variable Data
Reading scatterplots, lines of best fit, interpreting slope in context, and distinguishing linear from exponential association.
Probability
One-event and conditional probability, usually read out of two-way frequency tables — the key is identifying the correct restricted group.
Inference & Margin of Error
What sample results let you conclude about a population, how margin of error works, and why sample size changes confidence.
Evaluating Statistical Claims
Judging what a study design supports: random sampling vs. random assignment, causation vs. correlation, and generalizability.
42 Percentages questions with step-by-step explanations, woven into a day-by-day study plan built for your test date.
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