End of the summer trivia

Pythagorean Theorem

100

What is the Pythagorean Theorem formula?

a²+b²=c²

200

If a triangle has legs of 6 and 8, what is the hypotenuse?

10

300

True or False: The triangle with sides 3, 4, 6 is a right triangle

False

400

A square has a diagonal of 10 units. What is the length of one side?

Square root of 50 or about 7.07 units

500

A ladder is leaning against a wall. It touches the ground 5 ft from the base and reaches 12 ft up. How long is the ladder?

13 ft

Trig Functions

100

What does SOHCAHTOA stand for?

Sine = Opp/hyp, Cos = Adj/hyp, Tan = Opp/adj

200

In a triangle, if the opposite side is 4 and the hypotenuse is 5, what is sin(theta)?

4/5

300

Which trig function would you use to find the adjacent side?

Cosine

400

If tan (theta) = 3/4, and the adjacent side is 4, what is the opposite side? 

3

500

A right triangle has one angle that is 30 degrees, and the hypotenuse is 10. What is the opposite side? Note: sin(30)= 0.5

5

Proportions and Ratios

100

What's the ratio of 2 to 5?

2:5

200

Solve: x/6 = 3/9

x = 2

300

If a recipe calls for 2 cups of sugar to 5 cups of flour, how much sugar is needed for 15 cups of flour?

6 cups

400

Write 40% as a ratio

2:5 or 4:10

500

A map scale says 1 inch = 50 miles. How many miles are 3.5 inches?

175

Word Problems

100

You walk 3 blocks east and 4 blocks north. How far are you from your starting point?

5 blocks

200

A tree casts a 12 ft shadow. The tree is 18 ft tall. What's the ratio of height to shadow?

3:2

300

A ladder leans against a wall forming a 60 degree angle with the ground. If the base is 5 ft from the wall, how long is the ladder? Note cos(60)= 0.5

10 ft

400

A student is building a ramp for a robot. The ramp is 8 feet long and reaches a platform 6 feet high. What is the horizontal distance from the base of the ramp to the platform?

Square root of 28 or about 5.29

500

A student scored 80% on a test with 25 questions. How many did they get right?

20 questions

All about Mr. Xander

100

What is Mr. Xander's full last name?

Strulovic Lord

200

Does Mr. Xander prefer to knit or crotchet?

Knit

300

What does Mr. Xander major in college?

Pure Math major

400

Mr. Xander always says a phrase as you exit. What is it?

"Have a good day. Make good choices".

500

What state does Mr. Xander go to college?

Connecticut