Number Theory
Last two digits of 11!
What is 00?
If the degree measures of the angles of a triangle are in the ratio 3:3:4, the degree measure of the largest angle of the triangle
What is 72?
A box contains five cards, numbered 1, 2, 3, 4, and 5. Daniel selects 3 cards randomly without replacement from the box. Probability that 4 is the largest card Daniel selects
What is 3/10?
The average of the five numbers in a list is 54. The average of the first two numbers is 48. Average of last three numbers
What is 58?
Only number from 0 to 1000 that has an a in it?
What is One Thousand?
The units digit (ones place digit) of 3^2024
What is 1?
Howard walks 1/2 mile south, then 3/4 mile east, and finally 1/2 mile south. The distance he is from his starting point (straight line)
What is 1.25?
Minghao tosses a coin four times. The probability that he gets at least as many heads as tails
In a mathematics contest with ten problems, a student gains 5 points for a correct answer and loses 2 points for an incorrect answer. If Jamin answered every problem and his score was 29, the amount of correct answers
What is 7?
First ten digits of pi
What is 3.1415926535?
Amount of positive factors 23232 has
What is 42?
The amount of different isosceles triangles have integer side lengths and perimeter 23
What is 6?
Three friends have a total of 6 identical pencils, and each one has at least one pencil. Amount of ways this can happen
What is 10
Pranav, Leo, Aidan and Ethan are good friends. Ethan had no money, but the others did. Aidan gave Ethan one-fifth of his money, Leo gave Ethan one-fourth of his money and Pranav gave Ethan one-third of his money. Each gave Ethan the same amount of money. Fractional part of the group's money Ethan now has
What is 1/4?
The golden ratio (Exact answer or 3 digits)
What is 1:1.618 or (1+sqrt5)/2
Amount of perfect cubes that lie between 2^8 + 1 and 2^18 + 1, inclusive
What is 58?
A square with side length 2 and a circle share the same center. The total area of the regions that are inside the circle and outside the square is equal to the total area of the regions that are outside the circle and inside the square. The radius of the circle
What is 2/sqrt(pi)
Junehee lives 2 blocks west and 1 block south of the southwest corner of City Park. Her school is 2 blocks east and 2 blocks north of the northeast corner of City Park. On school days she bikes on streets to the southwest corner of City Park, then takes a diagonal path through the park to the northeast corner, and then bikes on streets to school. If her route is as short as possible, the amount of different routes can she take
What is 18?
Canis the baker has developed a new temperature scale for his bakery called the Breadus scale, which is a linear function of the Fahrenheit scale. Bread rises at 110 degrees Fahrenheit, which is 0 degrees on the Breadus scale. Bread is baked at 350 degrees Fahrenheit, which is 100 degrees on the Breadus scale. Bread is done when its internal temperature is 200 degrees Fahrenheit.The temperature at which Bread is done on the Breadus scale
What is 37.5?
Name of this mathematical symbol: ➗
What is an Obelus?
The number 21! = 51090942171709440000 has over 60000 positive integer divisors. One of them is chosen at random. Probability that it is odd?
What is 1/19?
Rectangle ABCD has AB = 3 and BC = 4. Point E is the foot of the perpendicular from B to diagonal AC. Area of triangle AED
What is 54/25?
A number is chosen at random from among the first 100 positive integers, and a positive integer divisor of that number is then chosen at random. The probability that the chosen divisor is divisible by 11
what is 9/200
Real numbers x and y satisfy the equation x^2 + y^2 = 10x - 6y - 34. x + y
What is 2?
Who popularized the use of the symbol 𝝅 to denote pi?
Who is Leonhard Euler?