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WORD PROBLEMS
VARIABLES
GEOMETRY
ARITHMETIC
Miscellaneous
100

Treasure island is a rectangular island, 1200 feet by 800 feet. Sally buries her treasure chest in a randomly chosen spot somewhere on the island. Marina searches a rectangular section of the island that is 400 feet by 300 feet. What is the probability that the treasure is in the section Marina searches? Express as a common fraction. 

1/8

100
What is the value of x if 3x + 7 = 22?
5
100
If an isosceles triangle has base angles that are each twice the measure of the smaller angle, what is the degree measure of one of the base angles?
72 degrees
100
What is the value of the product 47 × 53?
2491
100

A theater sells tickets at adult and child prices. One day the theater makes $1380 in ticket sales. If all the tickets were adult tickets, the sales would have been $1500. If instead all the tickets were upgraded to 3D for $2.00 extra per ticket, the sales would have been $1580. A child ticket costs $9.00. How many child tickets did the theater sell?

20

200
A book store employee is given a 20% discount off the retail price of any book. Assuming there is no tax, how many dollars does she pay for a book with a retail price of $55?
$44
200
What is the value of x if 3/5x = 12/25? Express your answer as a common fraction.
4/5
200

A certain parallelogram has a perimeter of 40cm, and area of 24 cm squared and a height of 2 cm. What is the absolute difference between the length of one shorter side and the length of one longer side of the shape?

4

200
What is the value of 8 ÷ 8 − 8 + 8 × 8?
57
200

If 5 nims are equal to 12 nyms, and 4 nyms are equal to 3 neems, then how many nims are equal to 18 neems?

10

300
Tim’s math homework is on five consecutive pages in the math textbook, and the sum of those page numbers is 630. What is the page number of the next page after these five homework pages?
Page 129
300

What is the value of a+b+c IF a+b+2c=23, 3a+2b+c=27, and b+c=18

17

300
What is the ratio of the number of degrees in the interior angle of a regular pentagon to the number of degrees in the interior angle of a regular hexagon? Express your answer as a common fraction.
9/10
300
What is the sum of all positive integers from 1 to 30, inclusive, that are neither multiples of 2 nor perfect squares?
190
300

Lena is placing 700 pictures into a photo album. On Monday, she placed 15 pictures into the album; on Tuesday, she placed 22; on Wednesday she placed 20; on Thursday she placed 27; on Friday she placed 25. She continued placing photos every day, including Saturday and Sunday, repeating this 5-day pattern until all her photos were in the album. On what day of the week will she place her final photo in the album?

Friday

400
Marielle buys an equal number of 50¢ and 75¢ candy bars and spends $10, not including tax. How many candy bars did she buy altogether?
16 candy bars
400

If 3b+3p=3 and 2b+5p=65, what is the value of b-p?

-41

400
Triangle ABC has sides of length 30, 40 and 50 units. What is the mean, in degrees, of the measures of the three angles?
60 degrees
400

What is the sum of the five smallest prime numbers?

28

400

The sum of the ages of a father and his son is 45. Five years ago, the father was four times as old as his son. Write an equation and solve to find their ages. 

Father's age = 31 years and 8 months

Son's age = 13 years and 4 months

500

In Groovy Grissom Universe, trees in direct sunlight grow at the same fixed rate every day, and trees in the shadow of another tree grow at a different fixed rate each day. A tree is planted as a sprout in the shadow of a 15-foot tree. One year later, the sprout is now 2 feet tall while the other tree is 19 feet tall. At the end of every year, lumberjacks cut down trees over 40 feet tall. How many years old with the sprout be when it is chopped down?

14

500

Let x be an integer that satisfies x^4 + 24 = 105. What is the value of x^2 - 24?

-15

500
What is the number of square meters in the area of a square if the length of a diagonal is 14 meters?
98 m squared
500

How many integers from 2 to 147 have square roots that are whole numbers?

11

500

Write a word problem that satisfies the answer "180 pages"

Pages