Counting and Probability
What are the chances of rolling a 6 on a standard dice?
1/6
What is the sin of pi?
0
Solve for 12*14
168
Determine if 91 is prime or composite.
What is the distance between (0,1) and (0,4)?
3
How many numbers are greater than 100 and less than 999?
898
If f(x) = x^2 + 1 and g(x) = 3x-2, what is f(g(3))?
50
√(2x+4) = x - 2. What is x?
6
How many factors does 24 have?
8
Find the circumference of a circle with radius 7.
14pi
How many 3-letter passwords can be formed using the letters A–Z if repetition is allowed?
17576
What are the x-intercepts of y = 2x^2 - 3x +1?
(1/2, 0) and (1,0)
What is 19*21?
399
What is 1 + 3 + 5 + ... + 101?
2601
If a triangle has vertices at (0,0), (4,0), and (0,3), what is the area?
6
3 coins are flipped, what is the probability that heads appears atleast once?
7/8
Find the domain of √(3x-6)
[2,∞)
If a+b = 10, where a and b are single-digit positive integers, how many possible values for (a,b) are there?
9
Find p such that p−1 is odd and divisible by 2.
2
How many distinct lines can be drawn connecting any two vertices of a pentagon?
10
How many licence plates can be made if they follow the pattern of 3 letters and then 2 numbers (such as AYX23)? Express using exponents.
26^3 * 10^2
What is the inverse of f(x) = (3x-4)/(2)?
How many values are there for x in x^4-5x^2+4 = 0?
4
Find the remainder when 7^2026 is divided by 5.
4
A sphere has radius 6. Find its volume in terms of pi.
288pi