ISEE Middle Level Quantitative Reasoning Flashcards: Percent Problems In Context

What this deck covers

This deck focuses on Percent Problems In Context, giving you a quick way to review the definitions, rules, and examples that matter most for ISEE Middle Level Quantitative Reasoning.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What is $15\%$ of $60$?

Answer: $9$. Convert 15% to 0.15 and multiply by 60 to find the part of the whole.

Flashcard 2: State the formula for finding percent $p$ given part and whole.

Answer: $p=\frac{\text{part}}{\text{whole}}\times 100$. This formula finds the percent by dividing the part by the whole and multiplying by 100.

Flashcard 3: State the percent equation that relates part, whole, and percent $p$.

Answer: $\text{part}=\frac{p}{100}\times\text{whole}$. This formula calculates the part by converting the percent to a decimal and multiplying by the whole.

Flashcard 4: A number is increased by $30\%$. What is the multiplier on the original?

Answer: $1.30$. Add 1 to the decimal 0.30 to get the factor for a 30% increase.

Flashcard 5: A number is decreased by $18\%$. What is the multiplier on the original?

Answer: $0.82$. Subtract 0.18 from 1 to get the factor for an 18% decrease.

Flashcard 6: A \120$item is marked up$25%$. What is the new price?

Answer: \150$. Multiply$120 by 1.25 to apply the 25% markup.

Flashcard 7: After a $10\%$ discount, a jacket costs \72$. What was the original price?

Answer: \80$. Divide$72 by 0.9 to find the price before the 10% discount.

Flashcard 8: A price increases from \40$to$$50$. What is the percent increase?

Answer: $25\%$. Divide the $10 increase by the original$40 and multiply by 100.

Flashcard 9: A class has $24$ students; $75\%$ are present. How many are present?

Answer: $18$. Multiply 24 by 0.75 to find the number of present students.

Flashcard 10: A test score improves from $70$ to $84$. What is the percent increase?

Answer: $20\%$. Divide the 14-point increase by the original 70 and multiply by 100.

Flashcard 11: Find the original amount if $8\%$ of it equals $12$.

Answer: $150$. Divide 12 by 0.08 to solve for the whole amount.

Flashcard 12: A store sells $45$ of $60$ items. What percent of the items were sold?

Answer: $75\%$. Divide 45 by 60 and multiply by 100 to get the percentage sold.

Flashcard 13: A \400$bill is split so one person pays$35%$. How much do they pay?

Answer: \140$. Multiply$400 by 0.35 to find one person's share.

Flashcard 14: A solution is $20\%$ salt by mass. In $250$ g, how many grams are salt?

Answer: $50\text{ g}$. Multiply 250 g by 0.20 to calculate the mass of salt.

Flashcard 15: Find and correct the error: $30\%$ of $50$ is computed as $0.30+50=50.30$.

Answer: Correct: $0.30\times 50=15$. The error is adding instead of multiplying; percentage requires multiplication by the decimal.

Flashcard 16: A population of $500$ grows by $12\%$. What is the new population?

Answer: $560$. Multiply 500 by 1.12 to account for the 12% growth.

Flashcard 17: A price decreases from \90$to$$72$. What is the percent decrease?

Answer: $20\%$. Divide the $18 decrease by the original$90 and multiply by 100.

Flashcard 18: State the formula for percent change from old to new value.

Answer: $\frac{\text{new}-\text{old}}{\text{old}}\times 100\%$. This formula computes the percentage change relative to the original value.

Flashcard 19: A $6\%$ sales tax is added to \200$. What is the total cost?

Answer: \212$. Add 6$200 to the original cost for the total including tax.

Flashcard 20: A bill is \80$before tip. What is a$15%$ tip amount?

Answer: \12$. Multiply$80 by 0.15 to calculate the tip based on the bill.

Flashcard 21: A shirt costs \50$and is discounted$20%$. What is the sale price?

Answer: \40$. Subtract 20$50 from the original price to get the discounted amount.

Flashcard 22: A $40$-item quiz has $85\%$ correct. How many were correct?

Answer: $34$. Multiply 40 by 0.85 to determine the number of correct answers.

Flashcard 23: If $25\%$ of a number is $18$, what is the number?

Answer: $72$. Divide 18 by 0.25 to solve for the whole when given 25% of it.

Flashcard 24: What percent of $80$ is $12$?

Answer: $15\%$. Divide 12 by 80 and multiply by 100 to express the ratio as a percentage.