MATH QUIZ BEE HS LEVEL - DIFFICULT ROUND

Front

Calculate the volume of a cube with side length 6 cm.

Back

Front

If the ratio of boys to girls in a class is 3:4 and there are 28 students total, how many boys are there?

Back

12 boys

Front

A circle has a circumference of 18π. What is its area?

Back

81 π or 254.34

Front

A store buys an item for x dollars and marks it up by 50%. Then, they offer a 20% discount on the marked-up price. What is the overall profit percentage?

Back

20%

Front

Solve for x:

2x - 5 = 3x - 10

Back

x = 5

Front

A ladder 13 feet long leans against a wall, reaching a height of 12 feet. How far is the base of the ladder from the wall?

Back

5 ft.

Front

Back

Front

Back

-7

Front

Solve the inequality:

2x - 3 ≤ 5

Back

Front

A bag contains 4 red, 5 blue, and 6 green marbles. What is the probability of drawing a red marble, then a blue marble without replacement?

Back