# The High-School Math Challenge

Concerned about math tests? Take the challenge! Find out what your teen needs to know.

#### Quiz

1. The perimeter of an isosceles triangle is 30 cm. Which of the following cannot be the length of the base?

• 1 cm
• 5 cm
• 10 cm
• 15 cm

2. If 6.74 X 10n = 6,740,000, what is the value of n?

• 100000
• 60000
• 50000
• 40000

3. There are 250 seniors in a class. 60% have plans to go to college. Of those with plans to go to college, 40% plan to go to a college out-of-state. How many students plan to attend an in-state college?

• 60
• 90
• 40
• 150

4. Five pencils and 2 erasers cost 95 cents. Three pencils and 4 erasers cost 85 cents. If x is the cost of a pencil and y is the cost of an eraser, then which of the following systems of equations can be used to find the cost of a pencil?

• x û y = 2
8x + 6y = 180
• x + y = 14
8x + 6y = 180
• 5x + 4y = 95
3x + 2y = 85
• 5x + 2y = 95
3x + 4y = 85
• None of these

5. Simon is conducting a probability experiment. He randomly selects a tag from a set of tags that are numbered from 1 to 100 and then returns the tag to the set. He is trying to draw a tag that matches his favorite number, 21. He has not matched his number after 99 draws.What are the chances he will match his number on the 100th draw?

• 1 out of 100
• 99 out of 100
• 1 out of 1
• 1 out of 2

1. The perimeter of an isosceles triangle is 30 cm. Which of the following cannot be the length of the base?
15 cm

2. If 6.74 X 10n = 6,740,000, what is the value of n?
100000

3. There are 250 seniors in a class. 60% have plans to go to college. Of those with plans to go to college, 40% plan to go to a college out-of-state. How many students plan to attend an in-state college?
90

4. Five pencils and 2 erasers cost 95 cents. Three pencils and 4 erasers cost 85 cents. If x is the cost of a pencil and y is the cost of an eraser, then which of the following systems of equations can be used to find the cost of a pencil?
5x + 2y = 95
3x + 4y = 85

5. Simon is conducting a probability experiment. He randomly selects a tag from a set of tags that are numbered from 1 to 100 and then returns the tag to the set. He is trying to draw a tag that matches his favorite number, 21. He has not matched his number after 99 draws.What are the chances he will match his number on the 100th draw?
1 out of 100

60% Complete