Math Club #3

Exponents and Logarithms

100

Simplify 2³ x 24.

128

200

Evaluate 3^-2

1/9

300

Evaluate log₂32

5

400

Solve 2^x = 32

x=5

500

Solve log₂x= 4

x= 16

Analytic Geometry

100

Find the slope between (1,2) and (3,6).

2

200

Find the midpoint of (2,4) and (6,8).

(4,6)

300

Find the distance between (0,0) and (3,4).

5

400

A line has a slope of 3. What is the slope of a line perpendicular to it?

-1/3

500

Find the equation of a line with slope 2 passing through (1,3)

y=2x+1

Sequences and Series

100

What is the next number: 2,4,6,8,_?

10

200

What is the next number: 3,9,27,81,_?

243

300

An arithmetic sequence starts at 5 and increases by 3. Find its 10th term.

32

400

Find the sum of the first 10 positive integers.

55

500

A geometric sequence is 2,4,8,16, ... Find the 6th term.

64

Counting and Probability

100

You have 3 shirts and 2 pairs of pants. How many outfits can you make?

6

200

What is the probability of rolling a 6 on a fair six-sided die?

1/6

300

How many ways can 2 students be selected from a group of 5?

10

400

How many different ways can 4 people stand in a line?

24

500

How many different groups of 3 students can be selected from a group of 6?

20

Properties of Numbers

100

What is the smallest prime number?

2

200

Is 51 a prime or composite number?

Composite

300

Find the greatest common factor (GCF) of 12 and 18.

6

400

Express 60 as a product of prime factors.

2² x 3 x 5

500

Find the least common multiple (LCM) of 12, 18 and 30.

180