Math Game

Exponents

100

(x³)² * x^–2 = ?

a)x^–4

b) x

c) x⁶

d) x⁴

d) x⁴

200

If 3^x = 27, then 2^2x = ?

a) 64

b) 32

c) 3

d) 8

a) 64

300

If 3 + 3ⁿ⁺³ = 81, what is 3ⁿ⁺² ?

a) 26

b) 81

c) 3

d) 9

a) 26

400

If (300)(400) = 12 * 10ⁿ, n = ?

a) 12

b) 2

c) 4

d) 3

c) 4

500

If  √x=y₂=6, then which of the following is equivalent to x³y⁴?

a) 6⁶

b) 6⁴

c) 6⁸

d) 6⁷

c) 6⁸

Factoring

100

Find the solutions to this equation: x²+12x+27

(x+3)(x+9)

x = -3, -9

200

Find the solution(s): x² - 2x - 48=0

x= 8, -6

300

Find the solutions to this equation: x²-16

(x + 4)(x – 4)

x = -4, 4

400

Find the solution(s) for: x² - 1

x = 1, -1

500

If x² + 2ax + 81 = 0.  When a = 9, what are the solution(s) for x?

x = -9

Counting

100

How many prime numbers are between 1 to 25?

a) 9

b) 8

c) 7

d) 11

a) 9

200

Four consecutive odd integers sum to 40. How many of these numbers are prime?

a) 2

b) 0

c) 3

d) 4

c) 3

300

How many integers lie between −4 and 426, including the end points? 

a) 430

b) 431

c) 421

d) 432

b) 431

400

How many numbers between 1 and 100, inclusive, are both prime and a multiple of 4?

a) 0

b) 12

c) 20

d) 25

a) 0

500

How many factors do the integers 24 and 81 have in common?

a) 1

b) 2

c) 3

d) 4

b) 2

Percents

100

Write 7.5% as a fraction?

a) 7.5/100

b) 15/2000

c) 14/100

d) 3/40

d) 3/40

200

A total of 200,000 votes were cast for two opposing candidates. If the losing candidate received 40% of the vote, how many votes did the winning candidate receive?

a) 100,000

b) 120,000

c) 50,000

d) 80,000

b) 120,000

300

25% of 64 is equal to 5% of what number?

a) 108

b) 320

c) 112

d) 90

b) 320

400

What is ⁷/₅ as a percentage?

a) 40%

b) 175%

c) 150%

d) 140%

d) 140%

500

If x% of 20 is 50, then what is 20% of x?

a) 10

b) 100

c) 50

d) 20

c) 50