Probability
If you roll a six-sided die, what is the probability of rolling an even number?
1/2
What is the value of y if 3y=21.
7
What is the volume of a cube with a side length of 3 units?
27 units3
What is the next number in the sequence: 2, 6, 12, 20, ...?
30
What is 123÷3?
41
In a standard deck of playing cards, what is the probability of drawing a face card (jack, queen, king)?
3/13
Solve for x if 8x−4=28
4
In a right-angled triangle, if one angle is 45 degrees, what is the measure of the other acute angle?
45 degrees
What is the next term in the sequence: 1, 4, 9, 16, 25, ...?
36
A train travels 240 miles in 3 hours. What is its average speed in miles per hour?
80 mph
If you flip two fair coins, what is the probability of getting exactly one head?
1/2
Solve for x and y
x = 3y + 5
y = 5x + 3
x= -1 , y= -2
If a circle has a diameter of 12 units, what is its circumference in terms of π?
12π
If the pattern is 4, 12, 24, 40, ..., what is the 6th term?
84
If a recipe calls for 4 cups of sugar and you want to make two-thirds of the recipe, how many cups of sugar do you need?
8/3 cups of sugar
If you have a bag with 6 red marbles, 4 blue marbles, and 2 green marbles, what is the probability of drawing a red marble twice in a row without replacement?
5/22
Solve for x and y
10x+5y=10
4x−2y=4
x=1,
y=0
The area of a parallelogram is 48 square units, and its base is 8 units. What is the height of the parallelogram?
6 units
What is the sum of the first 6 terms of the sequence: 3, 9, 27, 81, ...?
1092
If a car travels at a speed of 65 miles per hour, how long will it take to travel 260 miles?
4 hours
A six-sided die is rolled 2 times. What is the probability that the sum of the numbers rolled is a prime number?
15/36
Solve for x, y, OR z:
2x+3y−z = 10
x−2y+4z = -5
3x+y+2z = 8
x=5, y= -1, or z= −3
A rectangular prism has a volume of 120 cubic units. If the length is 4 units and the width is 5 units, what is the surface area of the prism?
148 unit2
If the pattern is 2, 5, 10, 17, …, propose a formula using the variables n and a where a is the value of the nth term.
an = n2+1
If a laptop costs $800 and is on sale for 15% off, what is the final sale price?
$680