Fractions, decimals, and percents; percent change — ISEE Upper practice questions

47 questions on the paper
99 practice questions in the app
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Practice 99 Fractions, decimals, and percents; percent change questions in the app

What this topic is

On the ISEE Upper, the Mathematics Achievement topic Fractions, decimals, and percents; percent change covers converting among those three forms, finding a percent of a whole, and tracking successive percent increase and decrease.

A student must rewrite a decimal as an equivalent fraction, compute a stated percent of a given number, and recover an original amount after a quantity first increases by a percent and then decreases by another. Questions are typically a single stem with four choices that look like simplified fractions or whole numbers.

A frequent trap is adding or subtracting successive percent changes instead of applying each one to the changing base.

Sample questions

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

Question 1Easier

Which fraction is equivalent to 0.625?

\dfrac{3}{5}

✗ Not this one

\dfrac{5}{8}

✓ Correct

\dfrac{2}{3}

✗ Not this one

\dfrac{7}{8}

✗ Not this one

Show answer

Answer: B — $\dfrac{5}{8}$

$0.625=\dfrac{625}{1000}$ . Dividing the numerator and denominator by 125 gives $\dfrac{5}{8}$ .

Question 2Easier

What is $15\%$ of 240?

24✗ Not this one30✗ Not this one36✓ Correct48✗ Not this one

Show answer

Answer: C — 36

$10\%$ of 240 is 24, and $5\%$ of 240 is 12. Therefore, $15\%$ of 240 is $24+12=36$ .

Question 3Mid

A plant population increased by $20\%$ during one month and then decreased by $10\%$ during the next month. At the end of the two months, the population was 324. What was the population at the beginning of the first month?

270✗ Not this one300✓ Correct330✗ Not this one360✗ Not this one

Show answer

Answer: B — 300

If the original population was $x$ , then $x(1.20)(0.90)=324$ . Since $1.20\cdot0.90=1.08$ , the equation is $1.08x=324$ , so $x=300$ .

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

Practice 99 Fractions, decimals, and percents; percent change questions in the app

Fractions, decimals, and percents; percent change — ISEE Upper practice questions

What this topic is

Sample questions

More ISEE Upper topics

Mathematics Achievement