Probability
A fair coin is flipped twice. What is the probability of getting exactly one head?
1/2
Find the area of a right triangle with a base of length 3 units and a height of length 4 units.
6 units2
Expand: (x+2)(x+3)
x2+5x+6
What is the 10th term of the sequence 2,4,6,8,...?
20
A bag has 3 red and 2 blue marbles. One marble is drawn. What is the probability it is red?
3/5
A circle has radius 5. What is its area?
25π
Solve for x: 2x+5=11
x=3
Find the sum: 1+2+3+...+20.
210
Two dice are rolled. What is the probability that the sum is 8?
5/36
The slope of a line is 2, and it passes through (1,3). What is its equation?
y=2x+1
If f(x)=2x2−3x, find f(4).
20
A geometric sequence has first term 3 and ratio 2. Find the 5th term.
48
A 3-digit code is formed using digits 1–9 with no repetition. What is the probability the code starts with an odd digit?
5/9
A triangle has sides 7, 24, and 25. Is it right-angled?
Yes, since 72 +242 = 252
Solve for x: 3x=81
x=4
A sequence is defined by an= 3n−1. Find a15.
44
Ten students line up randomly. What is the probability that three particular students sit together in any order?
1/15
A right triangle has legs of length 9 and 12. Find the length of the altitude to the hypotenuse.
36/5
Solve for real x: 2x+1 +2x = 48
x=4
The first term of an arithmetic sequence is 4 and the common difference is 3.
Find the 20th term.
61