Percent Problems in Context - ISEE Middle Level: Quantitative Reasoning
Card 1 of 24
What is $15%$ of $60$?
What is $15%$ of $60$?
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$9$. Convert 15% to 0.15 and multiply by 60 to find the part of the whole.
$9$. Convert 15% to 0.15 and multiply by 60 to find the part of the whole.
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State the formula for finding percent $p$ given part and whole.
State the formula for finding percent $p$ given part and whole.
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$p=\frac{\text{part}}{\text{whole}}\times 100$. This formula finds the percent by dividing the part by the whole and multiplying by 100.
$p=\frac{\text{part}}{\text{whole}}\times 100$. This formula finds the percent by dividing the part by the whole and multiplying by 100.
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State the percent equation that relates part, whole, and percent $p$.
State the percent equation that relates part, whole, and percent $p$.
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$\text{part}=\frac{p}{100}\times\text{whole}$. This formula calculates the part by converting the percent to a decimal and multiplying by the whole.
$\text{part}=\frac{p}{100}\times\text{whole}$. This formula calculates the part by converting the percent to a decimal and multiplying by the whole.
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A number is increased by $30%$. What is the multiplier on the original?
A number is increased by $30%$. What is the multiplier on the original?
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$1.30$. Add 1 to the decimal 0.30 to get the factor for a 30% increase.
$1.30$. Add 1 to the decimal 0.30 to get the factor for a 30% increase.
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A number is decreased by $18%$. What is the multiplier on the original?
A number is decreased by $18%$. What is the multiplier on the original?
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$0.82$. Subtract 0.18 from 1 to get the factor for an 18% decrease.
$0.82$. Subtract 0.18 from 1 to get the factor for an 18% decrease.
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A $\$120$ item is marked up $25%$. What is the new price?
A $\$120$ item is marked up $25%$. What is the new price?
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$\$150$. Multiply $120 by 1.25 to apply the 25% markup.
$\$150$. Multiply $120 by 1.25 to apply the 25% markup.
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After a $10%$ discount, a jacket costs $\$72$. What was the original price?
After a $10%$ discount, a jacket costs $\$72$. What was the original price?
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$\$80$. Divide $72 by 0.9 to find the price before the 10% discount.
$\$80$. Divide $72 by 0.9 to find the price before the 10% discount.
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A price increases from $\$40$ to $$50$. What is the percent increase?
A price increases from $\$40$ to $$50$. What is the percent increase?
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$25%$. Divide the $10 increase by the original $40 and multiply by 100.
$25%$. Divide the $10 increase by the original $40 and multiply by 100.
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A class has $24$ students; $75%$ are present. How many are present?
A class has $24$ students; $75%$ are present. How many are present?
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$18$. Multiply 24 by 0.75 to find the number of present students.
$18$. Multiply 24 by 0.75 to find the number of present students.
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A test score improves from $70$ to $84$. What is the percent increase?
A test score improves from $70$ to $84$. What is the percent increase?
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$20%$. Divide the 14-point increase by the original 70 and multiply by 100.
$20%$. Divide the 14-point increase by the original 70 and multiply by 100.
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Find the original amount if $8%$ of it equals $12$.
Find the original amount if $8%$ of it equals $12$.
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$150$. Divide 12 by 0.08 to solve for the whole amount.
$150$. Divide 12 by 0.08 to solve for the whole amount.
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A store sells $45$ of $60$ items. What percent of the items were sold?
A store sells $45$ of $60$ items. What percent of the items were sold?
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$75%$. Divide 45 by 60 and multiply by 100 to get the percentage sold.
$75%$. Divide 45 by 60 and multiply by 100 to get the percentage sold.
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A $\$400$ bill is split so one person pays $35%$. How much do they pay?
A $\$400$ bill is split so one person pays $35%$. How much do they pay?
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$\$140$. Multiply $400 by 0.35 to find one person's share.
$\$140$. Multiply $400 by 0.35 to find one person's share.
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A solution is $20%$ salt by mass. In $250$ g, how many grams are salt?
A solution is $20%$ salt by mass. In $250$ g, how many grams are salt?
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$50\text{ g}$. Multiply 250 g by 0.20 to calculate the mass of salt.
$50\text{ g}$. Multiply 250 g by 0.20 to calculate the mass of salt.
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Find and correct the error: $30%$ of $50$ is computed as $0.30+50=50.30$.
Find and correct the error: $30%$ of $50$ is computed as $0.30+50=50.30$.
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Correct: $0.30\times 50=15$. The error is adding instead of multiplying; percentage requires multiplication by the decimal.
Correct: $0.30\times 50=15$. The error is adding instead of multiplying; percentage requires multiplication by the decimal.
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A population of $500$ grows by $12%$. What is the new population?
A population of $500$ grows by $12%$. What is the new population?
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$560$. Multiply 500 by 1.12 to account for the 12% growth.
$560$. Multiply 500 by 1.12 to account for the 12% growth.
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A price decreases from $\$90$ to $$72$. What is the percent decrease?
A price decreases from $\$90$ to $$72$. What is the percent decrease?
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$20%$. Divide the $18 decrease by the original $90 and multiply by 100.
$20%$. Divide the $18 decrease by the original $90 and multiply by 100.
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State the formula for percent change from old to new value.
State the formula for percent change from old to new value.
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$\frac{\text{new}-\text{old}}{\text{old}}\times 100%$. This formula computes the percentage change relative to the original value.
$\frac{\text{new}-\text{old}}{\text{old}}\times 100%$. This formula computes the percentage change relative to the original value.
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A $6%$ sales tax is added to $\$200$. What is the total cost?
A $6%$ sales tax is added to $\$200$. What is the total cost?
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$\$212$. Add 6% of $200 to the original cost for the total including tax.
$\$212$. Add 6% of $200 to the original cost for the total including tax.
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A bill is $\$80$ before tip. What is a $15%$ tip amount?
A bill is $\$80$ before tip. What is a $15%$ tip amount?
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$\$12$. Multiply $80 by 0.15 to calculate the tip based on the bill.
$\$12$. Multiply $80 by 0.15 to calculate the tip based on the bill.
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A shirt costs $\$50$ and is discounted $20%$. What is the sale price?
A shirt costs $\$50$ and is discounted $20%$. What is the sale price?
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$\$40$. Subtract 20% of $50 from the original price to get the discounted amount.
$\$40$. Subtract 20% of $50 from the original price to get the discounted amount.
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A $40$-item quiz has $85%$ correct. How many were correct?
A $40$-item quiz has $85%$ correct. How many were correct?
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$34$. Multiply 40 by 0.85 to determine the number of correct answers.
$34$. Multiply 40 by 0.85 to determine the number of correct answers.
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If $25%$ of a number is $18$, what is the number?
If $25%$ of a number is $18$, what is the number?
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$72$. Divide 18 by 0.25 to solve for the whole when given 25% of it.
$72$. Divide 18 by 0.25 to solve for the whole when given 25% of it.
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What percent of $80$ is $12$?
What percent of $80$ is $12$?
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$15%$. Divide 12 by 80 and multiply by 100 to express the ratio as a percentage.
$15%$. Divide 12 by 80 and multiply by 100 to express the ratio as a percentage.
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