Jeopardy

pythagorean theorem

100

what is the formula for the Pythagorean Theorem?

A²+B²=C²

200

In a right triangle, if one leg is 6 and the other is 8, what is the hypotenuse

10(Using 6²+8²=36+64=100 so c +10)

300

What type of triangle does the Pythagorean Theorem apply to?

Right triangle

400

If the hypotenuse is 13 and one leg is 5, what is the other leg?

12(Using 5²+b²=13²,solve for b)

500

Name a set of Pythagorean triples.

(3,4,5) or (5,12,13)

laws of exponents

100

What is x^{3 .} x²?

x⁵

200

What is (x³)⁴?

x¹²

300

x⁵/x^2?

x³

400

What is x⁰ equal to?

1

500

What is (2x³y²)²?

4x⁶y⁴

volume

100

What is the formula for the volume of a rectangular prism?

V=lwh

200

What is the volume of a cube with side length 3?

27 cubic units(3³)

300

What is the volume formula for a cylinder?

V=(3.14)r²h

400

A cone has a radius of 4 and height of 9. What is its volume?

1/3(3.14)(4²)(9)=48(3.14)

500

What is the volume formula for a sphere?

V=4/3(3.14)r³

scientific notation

100

What is 4,500,000 in scientific notation?

4.5^.10⁶

200

What is 0.00032 in scientific notation?

3.2^.10^-4

300

Multiply (2^.10³)^.(3^.10²)

6^.10⁵

400

Divide(6^.10⁸) divided by (2^.10²)

3^.10⁶

500

Convert 9.1 ^. 10⁵ to standard form

910,000

area and perimeter of complex shape4

100

What is the area formula for a rectangle?

A=lw

200

Find the perimeter of a square with side length 5.

20 units

300

What is the area of a triangle with base 8 and height 6?

24 square units (1/2^.8^.6)

400

How do you find the area of a composite shape?

Divide it into simpler shapes calculate their areas, and sum them

500

A semicircle is attached to a rectangle. How do you find its total perimeter?

Add the rectangle's perimeter (excluding one width) and the semicircle's circumference.