Pi Day Jeopardy

Pi

100

How many digits of Pi are there? 

Infinite

200

What are the first 4 digits of Pi? 

3.1415

300

What is the sum of the first 5 digits of Pi? 

24

400

Name as many Pi digits as you can(Even if the other groups manage to name more digits, they don't gain points but the team that chose this question loses 400 points)

:)

500

What is Pi?

the ratio of the circumference of any circle to the diameter of that circle.

Algebra

100

 Solve for x: 2x+5=15

x=5

200

 Factor the expression: x²-4

(x+2)(x-2)

300

Solve for x: 3(x+4)=27

x=5

400

Simplify the expression: 2(3x-5)-4(2x+3)

2x-23

500

Solve for x and y: 

2x+3y=11

x-2y=4

x=2, y=3

Statistics and Probability

100

What is the mode of the following set of numbers: 3, 5, 7, 5, 9, 2, 5?

(Time limit of 10 seconds !)

5 

200

If a fair six-sided die is rolled, what is the probability of rolling a prime number?

1/2 or 50%

300

Calculate the mean of the following data set: 10, 15, 20, 25, 30.

20

400

A bag contains 6 red balls, 4 blue balls, and 5 green balls. If a ball is randomly chosen, what is the probability that it is not blue?

11/15

500

A bag contains 8 red marbles, 4 blue marbles, and 3 green marbles. If a marble is randomly chosen from the bag, what is the probability that it is either red or blue?

4/5 or 0.8

Geometry

100

What is the formula for the area of a rectangle?

Area = Length × Width

200

Calculate the perimeter of a square with a side length of 8 units.

Perimeter = 32 units

300

Find the volume of a cube with a side length of 5 units.

125 cubic units.

400

Given a triangle with side lengths 5, 12, and 13 units, is it a right triangle? If so, why?

Yes, it satisfies the Pythagorean theorem (5²+12²=13²).

500

Calculate the area of a circle with a radius of 6 units. 

Pi=3.14

Area = 113.04 square units.

Word Problems

100

The perimeter of a square is 20 meters. What is the length of one side?

5 meters

200

Tommy bought 4 packs of pens. Each pack contains 8 pens. If he gave 3 pens to his friend, how many pens does Tommy have left?

29 pens

300

 A car travels at an average speed of 40 miles per hour. How far will it travel in 5 hours?

200 miles

400

There are 30 students in a class. If 20% of the students are absent, how many students are present?

24 students

500

Sarah is planning to install a circular swimming pool in her backyard. The diameter of the pool is 10 meters. Calculate the amount of material needed to construct the pool's surrounding fence and the total area of the pool's surface. 

Use Pi=3.14π

So, Sarah will need 31.4 meters of material to construct the pool's surrounding fence, and the total area of the pool's surface is 78.5 square meters.