Exponents
Square Roots
Scientific Notation
Rational Numbers
Geometry
100

What is the value of n for the equation 54⋅5n=57

3

100

What is √16? (Without a calculator)

4

100

Write 10.5 x 104 in scientific notation

1.05 x 105

100

Which one is rational: -1/4 or √6/9?

-1/4

100

What is the missing side?


√20=4.47

200

What fraction is equivalent to 3-2?

1/9

200

What is √32?

4√2

200

What is (3 x 102)(4x104)?

1.2 x 107

200

Which one is irrational: 4/7, pi, or 2?

pi because it can't be represented as a fraction

200

What is the volume of a cylinder that is 9 feet high with a radius of 3 feet?

VolumeCylinder=3.14⋅r2⋅h

254.34 ft3

300

What base and power are equal to 312⋅3-6?

36

300

What is the value of c if a=5 and b=12?

13

300

What is (13.5 x 104) / (4.5 x 102)?

3x102 or 300

300

What is the fraction equivalent to .3?

3/10

300

In the last problem, if the cylinder that is 9 feet high with a radius of 3 feet is filled at a rate of 7 feet per minute, how many minutes will it take someone to fill the cylinder?

Volume=254.34

37 minutes

400

What fraction is equal to 28⋅2-10?

1/4

400

Can you use the Pythagorean Theorem to solve for the missing side length if ∠E is 95°? Why or why not?

No, because the Pythagorean theorem only can be used with a right triangle, not an obtuse or acute triangle.

400

Pope Park uses about 1.2 x 102 gallons of water each second. There are 8.6 x 104 seconds in one day. What is the number of gallons of water that Pope Park uses in 1 day?

1.032 x 107

400

Write the closest whole number to √10

3 because √9 is 3, and √10 is only √1 more

400

What is the volume of a hemisphere with a radius of 5 cm? Round to the hundredths place

VolumeSphere=4/3(3.14)r3

Hemisphere=1/2 sphere

104.67 cm3

500

What is the multiplication expression equal to 

(3-4⋅32)-3?

312⋅3-6

500

Which one is a right triangle?

a. 3cm, 4cm, 6cm

b. 4cm, 5cm, 8cm

c. 18cm, 24cm, 30cm

c. 18cm, 24cm, and 30cm because 182+242=302

500

Six Flags gets 7 x 106 visitors per year. 

Lake Compounce gets 3.5 x 105 visitors per year. How many times more visitors does Six Flags get?

2x10 or 20 times more visitors each year.

500

Which one is false?

a. √25>4.9

b. 4>√20

c. √10/4 < 6/4

b. 4>√20

500

A cylinder is 4cm high with a radius of 5cm and a cone has a height of 3 cm and a radius of 10cm.

Find the volumes.

VolumeCone=1/3(3.14)r2⋅h

VolumeCylinder=3.14⋅r2⋅h

They are the same: 100 cm3

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