Factors
Percents
Fractions
Perimeter And Area
Challenge Problems
100

What are the factors of 18?

1 , 2, 3, 6, 9, 18

100

If 40% of the circle is shaded, what percent is not shaded?

60%

100

What is 1/7 + 2/7 + 3/7?

6/7

100

What is the perimeter of a regular hexagon with a side of length 5?

30

100

At Euclid Middle School, the mathematics teachers are Miss Germain, Mr. Newton, and Mrs. Young. There are 11 students in Mrs. Germain's class, 8 students in Mr. Newton's class, and 9 students in Mrs. Young's class taking the AMC 8 this year. How many mathematics students at Euclid Middle School are taking the contest?

Given that these are the only math teachers at Euclid Middle School and we are told how many from each class are taking the AMC 8, we simply add the three numbers to find the total. 11 +8 +9 = 28.

200

What are the factors of 30?

1 , 2, 3, 5, 6, 10, 15, 30

200

Convert 0.75 to a percent

75%

200

What is 3 + 5/9 - 1 - 1/9

2  4/9

200

What is the area of a square with side of length 8?

64

200

If  for a,b positive integers, then what is ?

Substitute  and  into the expression for  to get:

Thus, answer choice  is correct.

300

Find the greatest common factor of 18 and 30

6

300

What is 0.086 as a percent?

8.6%

300

What is 1/2 of 1/3

1/6

300

If the area of a square is 169 square meters, how long is each side?

13 meters

300

The graph shows the price of five gallons of gasoline during the first ten months of the year. By what percent is the highest price more than the lowest price?

The highest price was in Month 1, which was $17. The lowest price was in Month 3, which was $10. 17 is  of 10, and is  more than 10. Therefore, the answer is

400

What is the greatest common factor of 24 and 40?

8

400

Write 2/5 as a percent

40%

400

How many 3/4s are in 1?

4/3

400

If the perimeter of a regular decagon is 120, what is the length of one side?

12

400

What is the sum of the mean, median, and mode of the numbers 2, 3, 0, 3, 1, 4, 0, 3 ?

A.)  6.5   B.)  7   C.)  7.5   D.) 8.5   E.)  9


Putting the numbers in numerical order we get the list  The mode is  The median is  The average is  The sum of all three is

500

List all the common factors of 12 and 20

1, 2, 4

500

What is 70% + 0.025 + 2.4% in percentage form?

74.9%

500

What is 4/7 x 2/3?

8/21

500

If the perimeter of a nonagon is 72 squared meters, what is the length of each side in feet?

8 meters x 3 feet/meter  = 24 feet

500

Alice needs to replace a light bulb located 10  centimeters below the ceiling in her kitchen. The ceiling is 2.4 meters above the floor. Alice is 1.5 meters tall and can reach 46 centimeters above the top of her head. Standing on a stool, she can just reach the light bulb. What is the height of the stool, in centimeters?


Convert everything to the same unit. Since the answer is in centimeters, change meters to centimeters by moving the decimal place two places to the right.

The ceiling is 240 centimeters above the floor. The combined height of Alice and the light bulb when she reaches for it is 10 + 150 + 46 = 206 centimeters. That means the stool's height needs to be 240-206 = 34.