Specific Math Topics Trivia

61. A fraction can be written in the form of a/b, where the "/" symbol is called a slash or a ___.

From Quiz Fractions

Answer: Solidus

Besides, a vinculum can also be used to represent a fraction. It is the "horizontal line" that separates the numerator and the denominator of a fraction. It has other uses as well. For example, 1/3 = 0.333333... can be written as 0.3 (which a vinculum above the value 3 in 0.3) to indicate that the value 3 repeats itself infinitely. It is used in Boolean algebra (AND, OR, NOT), too. For example, A (with a vinculum above the letter A) means NOT A.

From Quiz Three digit numbers

Answer: 450

A three digit number is even if the last digit is 0, 2, 4, 6, or 8. There are 9 possibilities for the first digit, 10 for the second, and 5 for the third. Hence there are 9 * 10 * 5 = 450 different even three digit numbers.

From Quiz Those Odd Odd Integers #2

Answer: 899

Recall that the nth positive odd integer is 2n - 1. 207 = 2n - 1 implies n = 208/2 = 104, so 207 is the 104th positive odd integer. 2005 = 2n - 1 implies n = 2006/2 = 1003, so 2005 is the 1003rd positive odd integer. The odd integers being described here are: 209, 211, ..., 2005. The list 1, 3, 5, ..., 2005 contains 1003 odd integers. The list 1, 3, 5, ..., 207 contains 104 odd integers. Therefore our list 209, 211, ..., 2005 contains 1003 - 104 = 899 odd integers.

From Quiz Fibonacci Numbers

Answer: Rabbit

He posted this question: There is initially a pair of rabbits (one male, one female) on the first month. That pair of rabbits will become mature and mate at the end of 2 months to produce another pair of rabbits (also one male and one female). The process continues and no rabbits die. So, how many pairs of rabbits are there after a year? To solve this problem, let F(n) be a function which represents the number of pairs of rabbits at the end of each month, where n is month. Clearly, F(1) = 1, F(2) = 1, F(3) = 1 + 1 = 2. F(4) = 1 + 2 = 3. The general equation is F(n) = F(n-1) + F(n-2). Continue this and we will get the followings: F(5) = 2 + 3 =5 F(6) = 3 + 5 =8 F(7) = 5 + 8 =13 F(8) = 8 + 13 = 21 F(9) = 13 + 21 = 34 F(10) = 21 + 34 = 55 F(11) = 34 + 55 = 89 F(12) = 55 + 89 =144 Finally, we will get F(12) = 144.

From Quiz Calculator Words!

Answer: Legs

3y equals 5637 - rotate - Legs.

From Quiz Similarity of Triangles

Answer: 3:5

Triangle ADE was similar to triangle ABC. A striking property of similar triangles is that the ratio of all their corresponding sides are equal. For example, if triangle ABC is similar to triangle PQR, then:- AB:PQ = AC:PR = BC:QR

From Quiz Mathematics History II

Answer: Konigsberg

The Bridges of Konigsberg is a well-known problem in mathematics. In a complicated circuit of bridges, rivers, and islands, is it possible make a tour of the town returning to the original point with crossing each bridge only once? That was the question that Swiss mathematician Euler answered and proved. Konigsberg is located on the River Pregel in Germany. Graph theory is only one of the many fields that the great Euler researched in. His research interests ranged from Number Theory to Analysis to even Physics and Music. He was certainly one of the greatest and most prolific polymaths ever.

From Quiz Trigonometry

Answer: Complementary

Sine and cosine are known as cofunctions to each other; i.e., the sin of an angle is the same as the cosine of that angle's complement [sin(A) = cos(90-A) and cos(A) = sin(90-A)]. Other cofunction pairs are tangent/cotangent and secant/cosecant.

From Quiz Mathematics History

Answer: Gauss

Gauss proposed the very famous theorem as a conjecture, but it was proven later. It is a very powerful theorem as it approximates the Riemann Zeta Function for primes. Riemann's Hypothesis is closely connected to Gauss's Theorem.

From Quiz Zero... A Number?

Answer: x

Adding/subtracting zero is the same as adding/subtracting nothing so the number stays the same.

From Quiz Ratios

Answer: 50 kg

The answer is 50 kg. Here is how to solve word problem: 40 x 2 = 80 kg 5 + 3 = 8 kg 80/8 = 10 kg 10 x 5 = 50 kg (answer)

From Quiz Operations in That Scary Binary System!

Answer: 39

Convert 11001 by finding the value of each 1. The expression to determine its base ten value is: (2^4 * 1) + (2^3 * 1) + (2^2 * 0) + (2^1 * 0) + (2^0 * 1). This can be further simplified to 16 + 8 + 0 + 0 + 1, which, when added together, equals 25. Add 25 to 14 to get 39.

From Quiz That Scary Binary System!

Answer: odd

All powers of two except 2^0 are even. If you add even numbers together, they will always be even. If you have a one in the final spot, it literally translates as (2^0 * 1), which equals one. An odd number plus an even number will be an odd number. One is an odd number, and because every other power of two is even, you simply have to add an odd to make your binary number odd.

From Quiz The (mis) adventures of Connie Conic

Answer: Double napped cone

A single napped cone cannot generate a hyperbola (it can only do half a hyperbola), and a cylinder can only generate the ellipse and the circle. The Dandelin sphere is a device used to model the properties of the conic sections.

From Quiz The (Mis) Adventures of Miss Polly Nomial

Answer: Linear function

I hope the term "constant" didn't trick you into choosing "constant function". Only linear functions have constant slope. (Technically, constant functions also have constant slope - zero slope. However I stipulated that Polly's slide had non-zero slope. Wouldn't a zero-slope slide be boring?)

From Quiz The Number Pi

Answer: circumference to diameter

When you try to divide a circle's circumference by its diameter, you should find pi.

From Quiz Basic Symbolic Logic

Answer: negation

This causes a proposition to go from "I ride bikes," to "I do not ride bikes." Pretty simple.

From Quiz A quiz on Pi

Answer: The ratio of the circumference of a circle to its diameter

Sounds pretty straight-forward, but it has evoked a great deal of interest by millions of mathematicians all over the world.

From Quiz Math: Exponents

Answer: x

Since the exponent is one, there is only one x, and no multiplication is necessary. So the answer is x.

From Quiz Don't Break the Rules

Answer: Add three to make 45684

The rule for being divisible by nine is similar to that for being divisible by three. The digits of any number that is divisible by 9 sum to a number divisible by 9. Hence 45684 sums to 27, and thus it is divisible by 9.

From Quiz That's Not a Number

Answer: 1.618

This ratio shows up in many things in the natural world, and is also thought to affect our perceptions of beauty based on how a person's facial features conform with the golden ratio.

From Quiz Infinity Affinities

Answer: An 8 on its side

Known as the lemniscate, it is basically a figure 8 on its side (?). Having its origins in Indian culture, its opposing circles are said to represent equality between opposing forces.

From Quiz I Prefer Something Odd

Answer: Decimals are neither odd nor even

To be either odd or even, a number must be a whole number. By definition, a whole number cannot be a decimal. Whole numbers only consist of natural numbers (and zero) and their negative counterparts. Therefore, decimals are neither odd nor even.

From Quiz Do You Know Your Divisibilities?

Answer: 3

8 = 2 to the 3rd power; therefore, the last 3 digits have to be divisible by 8 for the entire number to be divisible by 8. If you want to know if a number is divisible by a 2 to the power of p, just test the last p digits.

From Quiz Math is for Squares

Answer: 0 1&1 0

The only numbers that are the squares of themselves are 0 and 1 (0*0=0, 1*1=1). Infinity is not correct because infinity squared is a higher infinity (greater aleph), a concept that is way beyond the scope of this quiz!

From Quiz Basics of Graph Theory

Answer: Two graphs are equal if they have equal vertex sets and equal edge sets.

This question is somewhat tricky, but only one answer is correct. Although equal graphs certainly must have the same number of edges and vertices, two graphs that have the same number of edges and vertices do not have to be equal. If, for two graphs, there is "a one-to-one correspondence between their vertex sets, so that when two vertices of one graph are adjacent, the corresponding vertices of the other graph are adjacent" then the two graphs are isomorphic-and not necessarily equal. REMEMBER: All graphs that are equal must be isomorphic, but graphs that are isomorphic need not be equal!

From Quiz The Lost Address Book

Answer: 3

Let Chris's address be represented by n. If n is composed of a single p, then n^2, or p^2, is going to have 3 factors. Since 3 is a prime number, it can be n. Also, n cannot possibly be any other combination of p because: - if n is composed of (p * p), then n^2 will have 9 factors, and since each p must be a unique prime and 9 is a perfect square, n cannot be composed of (p * p). This applies to (p * p * p), and any other extension of this because of the same reason. - if n is composed of (p^2), then n^2 will have 5 factors, which is not a perfect square. Futhermore, for any p^n in which n > 2, 2^n, which is the smallest possible value for p^n, will be greater than 2n + 1. Therefore, no exponents can exist in this prime factorization. So, Chris's address is 3. To show that this works, 3^2 = 9, which has factors of 9, 3, and 1.

From Quiz Prove it! Mathematically, of course.

Answer: if B, then A

The converse is just the theorem written the other way around. It is possible for theorems to be true despite false converses and for theorems to be false, despite true converses. One example is: All rectangles are parallelograms. --> True All parallelograms are rectangles. --> False

From Quiz Graph Theory

Answer: Edge

The vertices are the individual "points" of the graph. The edges refer to the "lines" joining these vertices. Let's say there is a line joining the points v1 and v2. So, these v1 and v2 are the 2 vertices of the graph. The line is called the edge of the graph. For example, a graph G with 3 vertices and 4 edges can be denoted by the notation G = (V, E), where V = {v1, v2, v3} and E = {e1, e2, e3, e4}.

From Quiz Tower of Hanoi

Answer: 7&seven

The game can be represented by the mathematical notation T(3,3). T stands for tower. The first 3 denotes the 3 pegs and the second 3 means there are 3 circular disks. Now, we can move the 3 circular disks to either peg two or peg three, which are both empty. Suppose that we want to move the disks to the third peg. Step 1: We make our first move by taking the first disk (the smallest one) from peg one and move it to peg three. Step 2: Then, we take the middle-sized disk from peg one and move it to peg two. Notice that we cannot place it at peg three since this violates the rule of the game, namely by placing a larger disk on a smaller one. Step 3: Next, we take the smallest disk from peg three and put it on the top of the middle-sized disk at peg two. Step 4: Move the largest disk from peg one to the empty peg three. Step 5: Move the smallest disk from peg two to the empty peg one. Step 6: Move the middle-sized disk from peg two to peg three. Step 7: Move the smallest disk from peg one to peg three.

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Last Updated Nov 16 2024 5:46 AM

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