Chapter
What is the value of √(8)(32)?
16.
The lengths of the sides of isosceles ABC are 3x+62, 7x + 30 and 5x + 50 feet. What is the least possible number of feet in the perimeter of A ABC?
232.
A circular pizza is cut 5 times with straight line cuts before being removed from the pan. What is the maximum number of pieces that can be made which contain none of the pizza’s outer crust, located around its circumference?
6
This mathematician is known for discovering a fundamental principle of right triangles.
Who is Pythagoras?
The word 'algebra' comes from this language, which was
What is arabic?
Rocky is standing on a sidewalk made of cement squares. He will toss a coin 4 times. For each head, he'll move one square. What is the probability that after 4 tosses he'll be back in the square where he started? Express your answer as a common fraction.
3/8
Joy is riding her bicycle up a hill. After traveling 3 km, Joy passes Greg, who is walking down the hill at a rate of 1 m/s. Joy continues up the hill for another 7 km before riding down at double the average speed she rode up. Joy and Greg arrive at Joy’s starting point at the same moment. In meters per second, what was Joy’s average speed going down the hill in m/s?
8 m/s
What is the sum of all real numbers x such that
4x − 6 × 2x + 8 = 0?
3
This famous mathematician was once a patent clerk.
Who was Albert Einstein?
This is the 23rd digit of pi (after the decimal).
What is 4?
A four-digit number uses each of the digits 1, 2, 3 and 4 exactly once. What is the probability that the number is a multiple of 4? Express your answer as a common fraction.
1/4
If 40q = p + p/3+ p/9+ p27 , what is the ratio q/p?
Express your answer as a common fraction.
1/27
In how many different ways can 15,015 be represented as the sum of two or more consecutive positive integers written in ascending order?
31 ways
This mathematician is credited with inventing calculus.
Who is Sir Isaac Newton?
This theory in mathematics studies deterministic non-linear systems that are highly sensitive to initial conditions, meaning tiny changes can lead to vast, unpredictable outcomes over time.
What is chaos theory?
The side lengths of a triangle are 4 centimeters, 6 centimeters and 9 centimeters. One of the side lengths of a similar triangle is 36 centimeters. What is the maximum number of cenntimeters possible in the perimeter of the second triangle?
171.
What is the length of the shortest segment that can be drawn from the point (4, 1) to 2x − y + 4 = 0? Express your answer as a decimal to the nearest hundredth.
4.92 units
Call a positive integer squarish if it contains the digits of the squares of its digits in order but not necessarily contiguous. For example, 14,263 contains 12 = 1, 42 = 16 and 22 = 4. However, it is not squarish because it does not contain 32 = 9, and 62 = 36 is not in order. What is the smallest squarish number that includes at least one digit greater than 1?
381,649
Modern geometry is named after this ancient mathematician.
Who is Euclid?
If you square pi, this is the 3rd digit (after the decimal).
What is 9?
The length of the hypotenuse of a right triangle is 41 cm, and the length of one leg is 9cm. How many square centimeters are in the area of the triangle?
180.
How many positive two-digit integers have exactly 8 positive factors?
10 integers
How many collections of six positive, odd integers have a sum of 18? Note that 1 + 1 + 1 + 3 + 3 + 9 and 9 + 1 + 3 + 1 + 3 + 1 are considered to be the same collection.
11 collections
This self-taught Indian mathematician died at the age of 32, right after his first paper was published on combinatorics and is considered one of the greatest mathematicians of all time. His book of ideas is on permanent display at Oxford University.
Who is Srinivasa Ramanujan?
This is a geometric shape containing detailed structure at arbitrarily small scales. Zooming in on the shape, will reveal an infinite number of shapes of the same type.
What is a fractal?