Fractions, decimals, and percents — ISEE Upper practice questions

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Practice 112 Fractions, decimals, and percents questions in the app

What this topic is

Percent change is the heart of many Fractions, decimals, and percents questions in Quantitative Reasoning.

A classic misconception is that raising an amount by some percent and then lowering it by the same percent returns the original; in fact the result is smaller, because the second percent is taken of a larger base. Other questions ask which pair of whole numbers could produce a given rate, which tests whether a percent can be turned into a fraction in lowest terms, such as three-quarters for seventy-five percent.

Wrong choices often come from adding and subtracting percents directly, so working step by step from the base pays off.

Sample questions

Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.

Question 1Mid

A volleyball team makes $60 %$ of its serves during a match. Which could be the exact number of serves made and serves missed?

18 made, 10 missed✗ Not this one20 made, 15 missed✗ Not this one30 made, 18 missed✗ Not this one27 made, 18 missed✓ Correct

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Answer: D — 27 made, 18 missed

Need $\frac{made}{made + missed} = 0.60$ . For D, $27 / (27 + 18) = 27 / 45 = 0.60$ . A is $18 / 28 \approx 0.64$ ; B is $20 / 35 \approx 0.57$ ; C is $30 / 48 = 0.625$ .

Question 2Mid

A positive number is increased by $28 %$ and the result is then decreased by $28 %$ .

Column A	Column B
The original number	The final number

The quantity in Column A is greater✓ CorrectThe quantity in Column B is greater✗ Not this oneThe two quantities are equal✗ Not this oneThe relationship cannot be determined from the information given✗ Not this one

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Answer: A — The quantity in Column A is greater

A $28 %$ increase multiplies by 1.28. A $28 %$ decrease then multiplies by 0.72. The net factor is $1.28 \times 0.72 = 0.9216 < 1$ , so the original number is greater.

Question 3Mid

A bicycle costs $360 in February. In March the price is $25 %$ less than the February price. In April the price is $25 %$ higher than the March price. What is the April price?

$270✗ Not this one$300✗ Not this one$345✗ Not this one$337.50✓ Correct

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Answer: D — $337.50

March: $360 \times 0.75 = $ 270$ . April: $270 \times 1.25 = $ 337.50$ . $270 is the March price; returning to $360 would require a $33. \overline{3} %$ increase from March.

Every question is picked for where you are right now, wrong answers come back until they stick, and it all works offline.

Practice 112 Fractions, decimals, and percents questions in the app

Fractions, decimals, and percents — ISEE Upper practice questions

What this topic is

Sample questions

More ISEE Upper topics

Quantitative Reasoning