Arithmetic I
If I have 3 apples, and everyday I buy another one, how many apples will I have after 32 days?
35 apples
x = 111
What is the sum of 5 numbers who have a mean of 24?
120
What is the circumference of a circle with area 64pi?
16pi
What is the sum of the following expression:
3 + 4 + 5 + 6 + ... + 98 + 99 + 100?
5047
Angie was 3 times as old as Brian last year, but is now only 2 times as old as Brian this year. How old is Brian now?
2 years old
Clara accidentally adds a number to the original number when she was supposed to subtract the number from the original. If the difference between her answer and correct one was 68, what was the value of the number she was SUPPOSED to subtract?
34
If a triangle has the outer angles 63° and 144°, what is the value of the inner angle of the triangle whose outer angle has NOT been mentioned?
27 degrees
What is the sum of the first 11 powers of 2?
2047
If a = 3b + 1, and b = 2a + 2, what is the value of a+b?
-11/5
Margret writes down all the numbers from 1 to 100 on a board, when Charlie subsequently erases every multiple of 3 from the list. What is the sum of the remaining numbers on the board?
3367
What is the area of a triangle who has 2 angles of 45° and 90°, and a hypotenuse of 24 units?
144 units^2
Once every hour, the number of tennis balls in Joseph's basket quadruples, once every 30 minutes the number of tennis balls in his basket triples, and once every 15 minutes the number of tennis balls in his basket doubles. If Joseph starts with 2 balls right after all these multiplyings have already happened, how many balls will he have after 1 hour?
1152 tennis balls
In the set (x, y, z), where each letter represents an integer, the product of the 3 numbers is equal to the sum of the squares of the 3 numbers. What are the TWO possibilities for (x, y, z)?
(0, 0, 0) and (3, 3, 3)
There are 6 people playing a round robin tennis tournament, in which every player plays every other player exactly once. If one player did not show up to the tournament, how many less games were played in the tournament than were originally intended?
5 less games
Marco takes a a bunch of unit blocks and puts them together into a 3x3x3 cube. He paints 5 sides red, and one side blue, then re-separates the unit blocks into individual cubes. How many of these blocks have 2 red sides and 1 blue side?
4 blocks
When given a number x, we will define a step as either multiplying x by 2 if x is odd, and subtracting 3 from x if x is even. Given this, if x=6, what will x be after 7 steps?
x = 3
On a farm, there were some integer number of chickens, and some integer number of cows. Farmer John counts 53 total heads among the animals, and 154 legs. How many cows are on the farm?
24 cows
A happy number is defined as the sum of 2 different perfect squares. The first happy number is 1 + 4 = 5. What is the 5th smallest happy number?
4 + 16 = 20
The side length x of a cube is increased by 5. Write an expression that shows the volume of the cube in relation to x. (plz expand)
volume = x^3 + 15x^2 + 75x + 125