Pythagorean Theorem
Trig Functions
Proportions and Ratios
Word Problems
All about Mr. Xander
100

What is the Pythagorean Theorem formula?

a2+b2=c2

100

What does SOHCAHTOA stand for?

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

100

What's the ratio of 2 to 5?

2:5

100

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

5 blocks

100

What is Mr. Xander's full last name?

Strulovic Lord

200

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

10

200

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

4/5

200

Solve: x/6 = 3/9

x = 2

200

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

3:2

200

Does Mr. Xander prefer to knit or crotchet?

Knit

300

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

False

300

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

Cosine

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

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

300

What does Mr. Xander major in college?

Pure Math major

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

400

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

3

400

Write 40% as a ratio

2:5 or 4:10

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

400

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

"Have a good day. Make good choices".

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

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

500

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

175

500

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

20 questions

500

What state does Mr. Xander go to college?

Connecticut

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