SSAT Upper Level Quantitative Quiz: Fractions Decimals And Percents
4 questions · exam conditions
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Fractions Decimals And PercentsQuestion 1 of 4

The expression 0.125+1862.5%−0.5\frac{0.125 + \frac{1}{8}}{62.5\% - 0.5} equals which of the following?

85\frac{8}{5}
22
52\frac{5}{2}
2020
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SSAT Upper Level Quantitative Quiz

SSAT Upper Level Quantitative Quiz: Fractions Decimals And Percents

Practice Fractions Decimals And Percents in SSAT Upper Level Quantitative with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Fractions Decimals And Percents, giving you a quick way to practice the rules, question types, and explanations that matter most for SSAT Upper Level Quantitative.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

The expression 0.125+1862.5%−0.5\frac{0.125 + \frac{1}{8}}{62.5\% - 0.5} equals which of the following?

  1. 85\frac{8}{5}
  2. 22 (correct answer)
  3. 52\frac{5}{2}
  4. 2020
Explanation: Convert everything to decimals: 0.125=180.125 = \frac{1}{8}, so the numerator is 0.125+0.125=0.250.125 + 0.125 = 0.25. For the denominator: 62.5%=0.62562.5\% = 0.625 and 0.5=0.50.5 = 0.5, so 0.625−0.5=0.1250.625 - 0.5 = 0.125. Therefore, 0.250.125=2\frac{0.25}{0.125} = 2. Choice A (85=1.6\frac{8}{5} = 1.6) might result from calculation errors, choice C (52=2.5\frac{5}{2} = 2.5) could come from mishandling the denominator subtraction, and choice D (20) might result from inverting the fraction incorrectly.

Question 2

In a survey, 0.3750.375 of respondents preferred coffee, 25\frac{2}{5} preferred tea, and the remaining 22.5%22.5\% preferred other beverages. What fraction of coffee and tea drinkers combined preferred coffee?

  1. 1531\frac{15}{31} (correct answer)
  2. 38\frac{3}{8}
  3. 2431\frac{24}{31}
  4. 3140\frac{31}{40}
Explanation: First verify the percentages add to 100%: Coffee = 0.375=37.5%0.375 = 37.5\%, Tea = 25=40%\frac{2}{5} = 40\%, Other = 22.5%22.5\%. Total: 37.5%+40%+22.5%=100%37.5\% + 40\% + 22.5\% = 100\% ✓. Coffee and tea drinkers combined represent 37.5%+40%=77.5%37.5\% + 40\% = 77.5\% of all respondents. Among just coffee and tea drinkers, the fraction who preferred coffee is: 37.5%77.5%=0.3750.775=375775=1531\frac{37.5\%}{77.5\%} = \frac{0.375}{0.775} = \frac{375}{775} = \frac{15}{31}. Choice B (38\frac{3}{8}) is the original coffee fraction, choice C (2431\frac{24}{31}) would be the tea fraction among coffee and tea drinkers, and choice D (3140\frac{31}{40}) represents the combined coffee and tea fraction of all respondents.

Question 3

If 58\frac{5}{8} of a number is equal to 125%125\% of 0.40.4, what percent of this number is 25\frac{2}{5}?

  1. 50%50\% (correct answer)
  2. 62.5%62.5\%
  3. 40%40\%
  4. 80%80\%
Explanation: First find the number: 58⋅n=125%⋅0.4=1.25⋅0.4=0.5\frac{5}{8} \cdot n = 125\% \cdot 0.4 = 1.25 \cdot 0.4 = 0.5. So n=0.5⋅85=0.8n = 0.5 \cdot \frac{8}{5} = 0.8. Now find what percent 25\frac{2}{5} is of this number: 250.8=0.40.8=0.5=50%\frac{\frac{2}{5}}{0.8} = \frac{0.4}{0.8} = 0.5 = 50\%. Choice B (62.5%) equals 58\frac{5}{8}, choice C (40%) equals 25\frac{2}{5} itself, and choice D (80%) is the number we found expressed as a percentage.

Question 4

A student converts 712\frac{7}{12} to a percentage and rounds to the nearest tenth of a percent. What percentage does the student report?

  1. 58.3%58.3\% (correct answer)
  2. 58.33%58.33\%
  3. 58.4%58.4\%
  4. 58%58\%
Explanation: 712=0.583‾=0.583333...\frac{7}{12} = 0.58\overline{3} = 0.583333... Converting to percentage: 0.583333...×100%=58.3333...%0.583333... \times 100\% = 58.3333...\% Rounding to the nearest tenth of a percent means rounding to one decimal place: 58.3333...%≈58.3%58.3333...\% \approx 58.3\%. Choice B shows two decimal places (not rounded to nearest tenth), choice C would require the third decimal digit to be 5 or higher (but it's 3), and choice D rounds to the nearest whole percent rather than tenth of a percent.