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SAT Math: Ratios, Rates, and Percents (Drill 1)

Drill 1 · Math · Ratios, Rates, and Percents

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About This Drill

SAT Math: Ratios, Rates, and Percents (Drill 1) is a Math practice drill covering Ratios, Rates, and Percents. It contains 5 original questions developed by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

SAT ratio, rate, and percent questions test your ability to set up and solve proportions, calculate percent increases and decreases, work with unit rates and unit conversions, and interpret proportional relationships in context. This drill includes both pure and applied problems.

Questions & Explanations

Question 1. The price of a textbook increased from $80 to $100. What was the percent increase in price?

  • A) 15%
  • B) 20%
  • C) 22%
  • D) 25% ✓

Explanation: Percent increase = (change / original) × 100 = (20/80) × 100 = 25%. A common error is dividing by the new value (20/100 = 20%).

Question 2. A driver traveled 240 miles in 4 hours at a constant speed. At the same speed, how many hours would it take to travel 390 miles?

  • A) 6.5 ✓
  • B) 6
  • C) 7
  • D) 7.5

Explanation: Speed = 240 ÷ 4 = 60 mph. Time = 390 ÷ 60 = 6.5 hours.

Question 3. A recipe requires 3 cups of flour to make 24 cookies. At this rate, how many cups of flour are needed to make 60 cookies?

  • A) 6
  • B) 7
  • C) 7.5 ✓
  • D) 8

Explanation: Set up a proportion: 3/24 = x/60. Cross-multiply: 24x = 180. Divide: x = 7.5 cups.

Question 4. A jacket originally priced at $250 is on sale for $200. What is the percent discount?

  • A) 15%
  • B) 20% ✓
  • C) 25%
  • D) 30%

Explanation: Percent discount = (discount / original) × 100 = (50/250) × 100 = 20%.

Question 5. In a jar, the ratio of red marbles to blue marbles is 3 to 5. If there are 120 marbles in the jar and no other colors, how many blue marbles are there?

  • A) 40
  • B) 45
  • C) 60
  • D) 75 ✓

Explanation: The ratio 3:5 means total parts = 3 + 5 = 8. Blue marbles = (5/8) × 120 = 75.