Math Word Problems Questions! Trivia Quiz

1. Each week, Ainsley spends $28 at the local coffee shop. If she gets a total of $50 each week from her parents for her allowances, what percentage of her allowance is she spending at the coffee shop each week?

56%

78%

22%

28%

Ainsley spends $28 out of her $50 allowance each week at the local coffee shop. To find the percentage, divide $28 by $50 and multiply by 100. The calculation is (28/50) * 100 = 56%. Therefore, 56% of her allowance is spent at the coffee shop each week.

Explanation

Ainsley spends $28 out of her $50 allowance each week at the local coffee shop. To find the percentage, divide $28 by $50 and multiply by 100. The calculation is (28/50) * 100 = 56%. Therefore, 56% of her allowance is spent at the coffee shop each week.

2. You take out a loan for $1000 at a rate of 3% for 8 years. How much interest will you have to pay on that loan?

$240

$24

$2400

$24000

To calculate the interest on a loan, you multiply the principal amount (in this case, $1000) by the interest rate (3%) and the time period (8 years).

So, the calculation would be:
Interest = $1000 * 0.03 * 8 = $240

Therefore, the correct answer is $240.

Explanation

To calculate the interest on a loan, you multiply the principal amount (in this case, $1000) by the interest rate (3%) and the time period (8 years).

So, the calculation would be:
Interest = $1000 * 0.03 * 8 = $240

Therefore, the correct answer is $240.

3. Ms. Ward wants to buy a suit marked $60. She receives a 25% discount, and then there is 7% sales tax. How much does Ms. Ward actually spend on the suit?

$45

$15

$48.15

$69.75

After receiving a 25% discount, Ms. Ward will pay 75% of the original price. Therefore, she will pay 0.75 * $60 = $45. Then, she needs to add the 7% sales tax to this amount. The sales tax can be calculated as 7% of $45, which is 0.07 * $45 = $3.15. Adding this tax to the discounted price, Ms. Ward will actually spend $45 + $3.15 = $48.15 on the suit.

Explanation

After receiving a 25% discount, Ms. Ward will pay 75% of the original price. Therefore, she will pay 0.75 * $60 = $45. Then, she needs to add the 7% sales tax to this amount. The sales tax can be calculated as 7% of $45, which is 0.07 * $45 = $3.15. Adding this tax to the discounted price, Ms. Ward will actually spend $45 + $3.15 = $48.15 on the suit.

4. AJ purchased a new tv for $1200. The regular price of the tv was $1500. What percent did AJ save by buying it on sale?

20%

25%

30%

35%

AJ saved 20% by buying the TV on sale. To calculate the savings percentage, we need to find the difference between the regular price and the sale price, which is $1500 - $1200 = $300. Then, we divide this difference by the regular price ($300/$1500) and multiply by 100 to get the percentage. The result is 0.2, which is equivalent to 20%. Therefore, AJ saved 20% by purchasing the TV on sale.

Explanation

AJ saved 20% by buying the TV on sale. To calculate the savings percentage, we need to find the difference between the regular price and the sale price, which is $1500 - $1200 = $300. Then, we divide this difference by the regular price ($300/$1500) and multiply by 100 to get the percentage. The result is 0.2, which is equivalent to 20%. Therefore, AJ saved 20% by purchasing the TV on sale.

5. Morgan bought a book for $12.95, and her total bill was $13.92. What was the percent of tax applied to her purchase?

9.5%

7.5%

9.7%

6%

The percent of tax applied to Morgan's purchase can be calculated by finding the difference between her total bill and the cost of the book, and then dividing that difference by the cost of the book. In this case, the difference is $13.92 - $12.95 = $0.97. Dividing $0.97 by $12.95 gives us approximately 0.075, which is equivalent to 7.5%. Therefore, the correct answer is 7.5%.

Explanation

The percent of tax applied to Morgan's purchase can be calculated by finding the difference between her total bill and the cost of the book, and then dividing that difference by the cost of the book. In this case, the difference is $13.92 - $12.95 = $0.97. Dividing $0.97 by $12.95 gives us approximately 0.075, which is equivalent to 7.5%. Therefore, the correct answer is 7.5%.

6. A movie theater offers 30% off the price of a movie ticket to students from your school. The regular price of a movie ticket is $8.50. What is the discounted price that you would pay for a ticket?

$2.55

$5.50

$5.95

$8.20

The movie theater offers a 30% discount on the regular price of $8.50. To calculate the discounted price, we multiply $8.50 by 0.30, which gives us $2.55. Then, we subtract $2.55 from $8.50 to get the discounted price of $5.95.

Explanation

The movie theater offers a 30% discount on the regular price of $8.50. To calculate the discounted price, we multiply $8.50 by 0.30, which gives us $2.55. Then, we subtract $2.55 from $8.50 to get the discounted price of $5.95.

7. Zach surveyed students at his school for a math project. When he analyzed the results, 38 people, or 18% of those surveyed selected hamburgers as their favorite food. About how many people did Zach survey?

212

210

684

211

Zach surveyed students at his school for a math project and found that 18% of those surveyed selected hamburgers as their favorite food. The question asks for an estimate of the total number of people Zach surveyed. Since 18% of the total is given as 38 people, we can set up a proportion to find the total number of people. If 18% is equal to 38, then 100% (the total) is equal to x. Solving this proportion, we find that x is approximately equal to 211. Therefore, Zach surveyed about 211 people.

Explanation

Zach surveyed students at his school for a math project and found that 18% of those surveyed selected hamburgers as their favorite food. The question asks for an estimate of the total number of people Zach surveyed. Since 18% of the total is given as 38 people, we can set up a proportion to find the total number of people. If 18% is equal to 38, then 100% (the total) is equal to x. Solving this proportion, we find that x is approximately equal to 211. Therefore, Zach surveyed about 211 people.

8. A student estimated that she scored 700 on the mathematics portion of her college entrance exam. She actually scored 660. What was her percent error?

6.1%

40%

5.7%

6%

The student estimated that she scored 700 on the math portion, but she actually scored 660. To find the percent error, we need to calculate the difference between the estimated score and the actual score, which is 700 - 660 = 40. Then, we divide this difference by the actual score (660) and multiply by 100 to get the percent error. So, (40/660) * 100 = 6.06, which is approximately 6.1%. Therefore, her percent error is 6.1%.

Explanation

The student estimated that she scored 700 on the math portion, but she actually scored 660. To find the percent error, we need to calculate the difference between the estimated score and the actual score, which is 700 - 660 = 40. Then, we divide this difference by the actual score (660) and multiply by 100 to get the percent error. So, (40/660) * 100 = 6.06, which is approximately 6.1%. Therefore, her percent error is 6.1%.