Geometry
What is the area of a triangle with base 10 units and height 12 units?
60 square units
If 2x+3=7, what is the value of -4x-6?
-14
A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and in the afternoon?
120 & 240
What is the probability of flipping two coins and getting at least one heads?
3/4
I chose a number and divide it by 5. Then I subtracted 154 from the result and got 6. What was the number I chose?
800
What is the volume of a rectangular prism with dimensions 4 units, 5 units, and 6 units?
120 cubic units
Solve the simultaneous equations: 2x+y=7 and 3x−y=3
x=2, y=3
The length of a rectangle is twice its width. If the perimeter is 36 units, what is the area of the rectangle?
72
In a standard deck of 52 cards, what is the probability of drawing 2 red cards without replacement?
25/102
How many prime numbers are there between 1 and 50?
15
What is the circumference of a circle with a radius of 7 units (to the nearest whole number)?
44
Solve for x: 2x³ - 8 = 5x³ -16
x = ∛8/3
A car's value depreciates by 10% each year. If the car is worth $20,000 now, what will it be worth in three years?
$14,580
A pair of fair, standard dice are rolled. What is the probability the sum of the dice is 5?
1/9
What is the 100th odd number?
199
What is the measure of each interior angle of a regular octagon?
135 degrees
If f(x)=2x²+3x−5, find f(-1.5)
Two numbers are in the ratio 3 : 2. If 2 is added to the first and 6 is added to the second number, they are in the ratio 4 : 5. Find the numbers.
6 & 4
An airplane is built to be able to fly on one engine. If the plane' s two engines operate independently, and each has a 1% chance of failing in any given four-hour flight, what is the chance the plane will fail to complete a four-hour flight to Oklahoma due to engine failure?
0.0001
Find the factors of 811
1 & 811
What is the length of the diagonal of a rectangular prism with dimensions 3 units, 4 units, and 12 units?
13 units
Solve for x: 4^x + 4^x = 16
x = 3/2
An investment of $6000 is made in two accounts. One account pays 6% annual interest and the other pays 9% annual interest. If the total interest earned after one year is $480, how much was invested in each account?
$2000 in the 6% account and $4000 in the 9% account.
There are some counters in a bag. There are 7 red counters and the rest are white. The probability that the first and second counters pulled are red are 42/72. The counters are not replaced. Find the number of white counters
2
Find the sum of the first 500 natural numbers
125250