WORD PROBLEMS
VARIABLES
GEOMETRY
ARITHMETIC
PRIMES
100
How many CDs can Edward buy for $14 each and spend the same amount he would spend to buy 60 CDs for $7 each?
30 CDs
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
What is the smallest prime that is a factor of the sum 5! + 1?
11
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
The intersection of a circular region of radius 3 inches and a circular region of radius 2 inches has area π in squared. In square inches, what is the area of the total region covered by the two circular regions? Express your answer in terms of π.
12π in squared
200
What is the value of 8 ÷ 8 − 8 + 8 × 8?
57
200
What is the median of the set consisting of the first ten prime numbers?
12
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
The sum of the first n odd positive integers is 64. What is the value of n?
8
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
How many distinct factors of 25! are prime numbers?
9 factors
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 a^2 − b^2 = 10 and a − b = 2, what is the value of a + b?
5
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 value of the difference 2018^2 - 2013^2?
20,155
400
What is the greatest prime factor of the difference 64^2 − 61^2?
5
500
A restaurant automatically adds an 18% tip to the bill. If the tip was $9, what was the bill before the tip was added, in dollars?
$50
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
What is the value of 6.9 × 10^15 ÷ (2.3 × 10^7) × 7.0 × 10^−4? Express your answer in scientific notation.
2.1 x 10^5
500
The integer 12,345 can be expressed as the sum of two prime numbers in exactly one way.What is the larger of the two primes in this sum?
12,343