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Back to Basics

Question:

What is 4% of 1,100?


Answer:

44



Question:

Of the 804 graduating seniors in a certain high school, approximately 2/5 are going to college and approximately 1/4 of those going to college are going to a state university. Estimate the number of seniors going to a state university.


Answer:

80



Question:

Walt found a shirt he loved and bought two of them for $n each and a new pair of jeans for $m. If the sales tax is 7.0%, how much will the his purchase cost after sales tax is added?


Answer:

1.07(2n + m)



Question:

If 115% of a number is 460, what is 75% of the number?


Answer:

300



Question:

Jennifer's best long jump distance increased by 10% from 1990 to 1991 and by 20% from 1991 to 1992. By what percent did her best long jump distance increase from 1990 to 1992?


Answer:

32%



If This, Then That

Question:

At a refinery, 100,000 tons of sand are required to produce each 60,000 barrels of a tarry material. How many tons of sand are required to produce 3,000 barrels of this tarry material?


Answer:

5,000



Question:

If 35% of a given number is 14, then what is 20% of the given number?


Answer:

8



Question:

Train A averages 16 miles per hour, and Train B averages 24 miles per hour. At these rates, how many more hours does it take Train A than Train B to go 1,152 miles?


Answer:

24



Question:

A triangle with a perimeter of 66 inches has one side that is 16 inches long. The lengths of the other two sides have a ratio of 2:3. What is the length, in inches, of the longest side of the triangle?


Answer:

30



Question:

The original price of an airplane ticket is reduced by 50% for a sale. Then, this new price is increased by 50%. Finally, that price is increased by 10%. As a percentage of the original ticket price, what is the final price of the ticket?


Answer:

82.5%



Blow It Up, Shrink It Down

Question:

Aru watches a movie that is 120 minutes long in 2 sittings. The ratio of the 2 sitting times is 3:5. What is the length, in minutes, of the longer sitting?


Answer:

75



Question:

Becky is building a 1/16 scale model of her house.  Becky’s house is 32 feet tall, the doors are 8 feet tall, and the windows are all 6 feet tall.  What should be the height of the model’s windows, in feet?


Answer:

3/8 or 0.375



Question:

In the figure below, triangle ABC and triangle DEF are similar triangles with the given side lengths in meters. What is the perimeter, in meters, of triangle DEF? 

 


Answer:

11



Question:

A sample of jellybeans was removed from a barrel of jellybeans. All of the jellybeans in the barrel are one of four colors: red, orange, green, and purplse. For the sample, the number of jellybeans of each color is shown in the table below.

The sample of jellybeans was removed from a barrel containing 25,000 jellybeans. If the sample is indicative of the color distribution in the barrel, which of the following is the best estimate of the number of red jellybeans in the barrel?


Answer:

6,250



Question:

In the figure below, where triange ABC ~ triangle XYZ, lengths are given in inches and the perimeter of triangle ABC is 576 inches. What is the length, in inches, of segment AC? (Note: The symbol ~ means "is similar to")


Answer:

192



Where'd It Come From

Question:

Solar High School's football team won 12 games, which is 75% of the games they played. How many games did the team play?


Answer:

16



Question:

108 is 27% of what number?


Answer:

400



Question:

Each week, Matt’s take-home pay is $680.  If 30% of his paycheck is withheld for taxes, insurance, and other things, what is his total pay before the withholdings? Round to the nearest tenth, if necessary.


Answer:

$971.43



Question:

1,353 fans in a stadium on Sunday were cheering for the home team. If this was 2.2% of the total people in attendance, how many total people were in the stadium?


Answer:

61,500



Question:

At a Thai restaurant, you and your friend order two plates of pad thai noodles and one thai iced tea. If the thai iced tea cost $2 and together you paid a total of $32.20 after leaving a 15% tip, how much does each plate of pad thai cost?


Answer:

$13



Up or Down

Question:

Jill's photography studio charges a sitting fee of $50.00. If she implements a new sitting fee of $58.75, what percent did she increase the sitting fee by?


Answer:

17.5%



Question:

The latest "smart" phone is on sale for $170.10. The regular price is $270.00. What is the percent discount being offered on the smart phone?


Answer:

37%



Question:

You paid $47.94 for your purchases at a clothing store after saving $8.46 using a coupon. What percent discount did you get by using the coupon?


Answer:

15%



Question:

A number is increased by 50%, then the resulting number is decreased by 30%.  The final number reflects what percent increase or decrease of the original number?


Answer:

5% increase



Question:

Interest can be calculated using the formula I=prt, where I equals the amount of interest earned, p equals the amount of the original investment, r equals the annual percentage yield the investment earned, and t equals the amount of time in years the money was invested. Linden invested $2,000.00. After 15 months, her investment had grown to a total of $2,125.00. The annual percentage yield of her investment is closest to which of the following?


Answer:

5%