Probability and Logic
A number is chosen from 1 to 10. What’s the probability it’s even?
1/2
What quadrant is the point (−3, −2) in?
Quadrant III
Seven more than twice what number equals 35?
14
What’s the sum of the angles in a triangle?
180 degrees
What’s the midpoint between −6 and 2 on a number line?
-2
A spinner has 5 equal sections labeled 1–5. What’s the chance of landing on a prime number?
3/5
What’s the slope of the line through (1, 2) and (4, 6)?
4/3
If x is 3 more than y, and y is 5 less than z, what is z − x?
2
What’s the area of a triangle with base 6 and height 5?
15 square units
What’s the slope of a line perpendicular to the vertical line through (2,−5) and (2,−1)?
A point is randomly chosen from 0 to 6. What’s the probability it’s between 2 and 5?
1/2
What’s the area of a triangle with vertices at (4,−1), (10,3), and (4,5)?
12 square units
If a = 2b + 3 and b = 4, what is the value of a - b?
7
What kind of triangle has one angle greater than 90°?
Obtuse triangle
If |x - 3| = 2x + 1, what is the value of x?
x = -4
Tweedledum says the sum of your weight and twice mine is 361. Tweedledee says it’s 362. If both are correct, what’s their combined weight?
241 lbs
What’s the slope of the line through (−2, 3) and (2, −1)?
-1
Solve: |x/2 - 6| = 20. What’s the positive difference between the solutions?
40
A triangle has vertices at (0,0), (4,0), and (0,3). What is the length of the hypotenuse?
5 units
A rectangle has a perimeter of 36 units. If the length is 4 units more than the width, what is the area of the rectangle?
77 square units
Three numbers between 0 and 1 are chosen. What’s the probability their sum is less than 1?
1/6
Parallelogram ABCD has A(0,1), B(2,1), and C(4,0). What’s the greatest possible area?
4 square units
Solve the system:
x + y = 10
2x - y = 4
x = 14/3
y = 16/3
A triangle has vertices at (−4,0), (0,0), and (0,5). What’s its area?
10 square units
A point is randomly chosen from 0 to 8. What’s the probability it’s closer to 3 than to 7?
5/8