Math

Probability

100

What is the probability of a 6 sided dice landing on the numbers 4 or 5?

2/6 = 1/3

200

What is the probability of getting 3 tails in a row flipping 3 coins?

0.125 or 12.5%

300

What is the probability of getting 3 6's in a row rolling a 6 sided dice 3 times?

0.4% or 0.004 or 0.4/100

400

What is the probability of rolling 3 5's in a row on a 11 sided dice?

3/4000 or 0.00075 

500

What is the probability of rolling 3 12's in a row on a 20 sided dice?

0.000125 or 0.0125/1 or 0.0125%

Exponents

100

What 10⁴

10,000

200

What is 5³

125

300

What is 3^-4?

1/81 or 0.012

400

What is 4⁴

256

500

What is 8^-5

0.000031 or 0.000031/1

Functions

100

F(x)=3*5-x

Solve f(5)

10

200

f(8) = 10/5*x-10

Solve f(8)

6

300

f(x)=4(81+3)-x

Solve f(9)

327

400

F(8)=x⁴-12⁴*6

Solve F(8)

Use Commas in your Answer

14,208

500

F(x)=6(12*20)-24³*13⁵+x²

Solve F(32)

Use Commas in your answer

-5,132,751,968

Scientific Notation

100

15,000 is what in scientific notation?

1.5*10⁴

200

300,000,000 is what in scientific notation?

3*10⁸

300

400,500,000,000 is what in scientific notation?

4.005*10¹¹

400

405,060,600,000,000 is what in scientific notation?

4.050606*10¹⁴

500

120,456,009,970,000 is what in scientific notation?

1.20456009970*10¹⁴

Density

100

If you have 1024g in 1mL of liquid, what is the density?

1024g/mL

200

If you have 6.25 million people in a city of 200 mi² what is the density of the city?

31,250people/mi²

300

If there are 500,000 liters of liquid in a lake and the lake weighs 60,000,000 grams what is the density of the liquid?

120g/L

400

If you have 572kg in 187mL of liquid, what is the density of that liquid?

3058.82g/mL or 3.05kg/mL

500

If you have 30,184,776,912,120g in 1,028,104mL of liquid, what is the density in Kg?

29359.65kg/mL