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Easy Math, Made Hard Trivia Quiz

After learning their numbers, the first math topic that most schoolchildren learn is addition. I will give you simple addition calculations, but you will require a bit of knowledge of various mathematics topics.

A multiple-choice quiz by romon1. Estimated time: 5 mins.

Author
romon1

Time
5 mins

Type
Multiple Choice

Quiz #
351,395

Updated
Dec 03 21

# Qns
10

Difficulty
Tough

Avg Score
5 / 10

Plays
1724

One at a Time - Single Page - Timed Game

Question 1 of 10

1. In a right triangle, the sine (usually abbreviated to sin) of an angle is the ratio between the lengths of the side opposite the given angle and the hypotenuse of the triangle. What is sin(90�) plus the smallest angle (in degrees) whose sine is 0.5? Hint

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Question 2 of 10

2. A Pythagorean triple is a set of 3 positive integers that can be the side lengths of a triangle (according to the formula a^2+b^2=c^2). For example, 11, 60, 61 is a Pythagorean triple since 11^2+60^2=61^2. What is the sum of the two smallest numbers that are in at least one Pythagorean triple? Hint

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Question 3 of 10

3. A perfect number is defined as a number whose positive factors (including itself) add up to twice its value. What is the first perfect number plus the number of factors it has? Hint

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Question 4 of 10

4. A prime number is a positive number having exactly two positive factors - itself and 1. What is the second prime number plus the fourth prime number? Hint

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Question 5 of 10

5. Euclid is better known as the father of geometry, the study of shapes and space. Regarding the cube, what is its dimension plus the number of vertices it has? Hint

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Question 6 of 10

6. Though we use a decimal numeral system, which uses 10 one-digit numbers, others do exist, such as hexadecimal, which uses 16 one-digit numbers. The amount of one-digit numbers a system uses is known as its base (not related to logarithms!), so decimal would be base 10. Even if the base of a system is not known, it can often be determined from the system's name. What is the sum of the bases of ternary and octal, two other systems? Hint

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Question 7 of 10

7. In numeral systems with bases that are relatively small but still greater than 10, the alphabet is used for digits representing numbers 10 or greater. For example, base 12 would count like 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, 10. So seeing A + B is not necessarily extremely odd. What is A + B in hexadecimal (your answer should be hexadecimal as well)? Hint

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Question 8 of 10

8. If you've ever played a game of chance, you probably know of probability, the chance of an event occurring. I roll two dice and add their outcome to get a number 'n'. What is the most likely value of n plus the reciprocal of the probability that I obtain that number? Hint

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Question 9 of 10

9. One question that calculus answers is how to calculate the instantaneous slope at any point on a curve. This can be done using an equation that models a graph's slope called a derivative. What is the coefficient plus the degree in the derivative of y=x^4? Hint

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Question 10 of 10

10. The logarithm (abbreviated log) of a number is the exponent you must apply to a constant (denoted as the base) to get the original number. For example, the log of 25 (base 5) is 2, meaning 25 = 5^2. When a base is not specified, it is usually assumed to be 10. What is log(0.1) plus log(100)? Hint

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Quiz Answer Key and Fun Facts

Answer: 31

Sin(90�) equals 1. Since the hypotenuse of a right triangle IS the side opposite the right angle, they are the same length and their ratio is 1.

Going from the ratio to the angle is the reverse of sin, and is called the arcsine. The arcsine of 0.5 equals 30, meaning that the side opposite a 30 degree angle is half the length of the hypotenuse.

The field studying the properties of triangles is called trigonometry. Its inception is often credited to the Greek mathematician Hipparchus.

Answer: 7

The two smallest numbers that can be in a Pythagorean triple are 3 and 4, and actually occur in the same triple of 3, 4, 5.

3. A perfect number is defined as a number whose positive factors (including itself) add up to twice its value. What is the first perfect number plus the number of factors it has?

Answer: 10

The first perfect number is 6. Its four factors, 1, 2, 3, and 6, add to 12, which is twice 6.

After 6, the next perfect numbers are 28, 496 and 8128.

4. A prime number is a positive number having exactly two positive factors - itself and 1. What is the second prime number plus the fourth prime number?

Answer: 10

The first five prime numbers are 2, 3, 5, 7, and 11. There are an infinite number of prime numbers, a fact that was proven by the Greek mathematician Euclid.

5. Euclid is better known as the father of geometry, the study of shapes and space. Regarding the cube, what is its dimension plus the number of vertices it has?

Answer: 11

A cube is a three-dimensional (3D) shape, and has 8 vertices (corners). While space as we see it has three dimensions, spaces with more dimensions can be explored by geometry. For example, the four-dimensional form of the cube is called a tesseract.

Answer: 11

Ternary is base 3, and octal is base 8. Bases can go quite a bit higher than 10 or 16. The ancient Sumerians and Babylonians used a sexagesimal system, which is base 60!

Answer: 15

A way to calculate this is to convert to base 10, do the calculation, then convert back to base 16. A represents 10 and B represents 11. Adding them gives 21. We can take away 1 group of 16 and have 5 left over, giving the answer of 15.

Answer: 13

The most likely value of n is 7, with 6 of the possible 36 combinations obtaining that value. This makes it have a probability of 1/6. When you take the reciprocal, you switch the numerator and denominator of the fraction. So the reciprocal of 1/6 is 6/1, or 6. The field of probability is relatively new, only appearing in the mid 17th century.

Answer: 7

The derivative of y=x^4 is 4x^3. This is obtained by multiplying the original function by the original exponent of 4, then decreasing the exponent by 1. Now the coefficient is 4 and the derivative has a degree of 3 (the highest exponent of x in the derivative).

Answer: 1

Log(0.1) equals -1 since 10^-1=0.1. Likewise, log(100)=2 since 10^2=100. Logarithms are used as the basis of many scales, including the Richter scale that measures earthquake intensity and the decibel scale that measures sound intensity.

Source: Author romon1

This quiz was reviewed by FunTrivia editor WesleyCrusher before going online.
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