The High-School Math Challenge

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

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