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Ratios & Percent (Standard)

Multi-step exam-style items.

Phase 2 · SAT Math

Ratios & Percent: core idea

%=partwhole×100\% = \frac{part}{whole}\times 100.

Example problem: hint and answer

A 200200 dollar investment grows by 8%8\%. What is its value after one year?

Hint: Use multiplier 1.08. Answer: 216.

Practice (9 problems — type your answers)

  • 1. A recipe for 1818 muffins uses 2142\frac14 cups of milk. How many cups are needed for 3030 muffins?

  • 2. In a survey, 4242 of 120120 students prefer art. If the school has 900900 students, about how many would be expected to prefer art?

  • 3. A price including 6.5%6.5\% tax is 85.2085.20 dollars. What was the pre-tax price?

  • 4. The ratio a:b=4:7a:b=4:7 and b:c=14:9b:c=14:9. Find a:ca:c.

  • 5. A population falls from 12,00012,000 to 10,20010,200. What is the percent decrease?

  • 6. A 4848-ounce drink is 37.5%37.5\% concentrate. How many ounces are concentrate?

  • 7. A car uses 1414 gallons for 392392 miles. At this rate, how far can 99 gallons go?

  • 8. After a 20%20\% discount, an item costs 5656. What was the original price?

  • 9. A test has 5050 questions. A student answered 4444 correctly. What percent were incorrect?

Ratios & Percent Practice Problems — Standard