Equations
What is the area of a circle
A=πr^2
If 1/3 of a number is 4 less than 1/2 of the number, the number is
24
Let x represent the unknown number. Since 1/3 of x is 4 less than 1/2 of x, x/3 = x/2 - 4. So, 2x = 3x - 24, giving x = 24.
Mathematics
What number is spelt in alphabetical order?
Forty
What is slope intercept form?
y=mx+b
Susan weighs p pounds. If Susan gains 17 pounds, she will weigh as much as Carol, who weighs 8 pounds less than Judy. If Judy weighs x pounds, then Susan's weight, p, in terms of x is what?
p=x-25
12x12
144
What is the name of the sequence which is a series of numbers where each number is the sum of the two preceding ones, starting with 0 and 1
The Fibonacci sequence
What is the pythagorean theorem?
a^2+b^2=c^2
A moored boat has a ladder that hangs down from the deck of the boat and touches the flat sea surface. The rungs are 1 foot apart. At low tide, ten rungs of the ladder are exposed. At high tide, the water level rises 6 feet. How many of the rungs will remain exposed?
10 rungs
The same number of rungs will be exposed. As the tide comes in, the boat will rise up.
True or false: 5 x (7+3) = 5 x 7 +3
False! PEDMAS
What is the name of the unit of time referring to 1/100th of a second.
A "jiffy"
What is the quadratic equation?
x = (-b ± √(b² - 4ac)) / 2a
Jars A, B, and C each contain 8 marbles. What is the minimum number of marbles that must be transferred among the jars so that the ratio of the number of marbles in jar A to the number in jar B to the number in jar C is 1:2:3?
4
Since jars A, B, and C each contain 8 marbles, there are 24 marbles in the three jars. Let x, 2x, and 3x represent the new numbers of marbles in jars A, B, and C, respectively. Hence, x + 2x + 3x = 24 or 6x = 24, so x=4.
What is it called when you multiple a number by itself?
Squaring it
Why are hexagons geometrically superior?
Because they have the highest area-to-perimeter ratio of any polygon
What is the equation for special relativity?
E=mc^2
Fruit for a dessert costs $1.20 a pound. If 5 pounds of fruit are needed to make a dessert that serves 18 people, what is the cost of the fruit needed to make enough of the same dessert to serve 24 people?
$8.00
If 5 pounds of fruit serve 18 people, then 5/18 pound serves one person, so 24 x 5/18 = 20/3 pounds. Since the fruit costs $1.20 a pound, the cost of the fruit needed to serve 24 people is 20/3 x $1.20 = $8.00.
What field of math was invented by Sir Isaac Newton and Gottfried Wilhelm Leibniz
Calculus
In which Shakespearean play does the word “mathematics” appear in?
"The Taming of the Shrew"