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Quiz about Two Four Six Eight
Quiz about Two Four Six Eight

Two, Four, Six, Eight! Trivia Quiz

A mathematical journey through algebra, calculus and geometry where the answer is always two, four, six or eight!

A multiple-choice quiz by logikzer0. Estimated time: 4 mins.
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Author
logikzer0
Time
4 mins
Type
Multiple Choice
Quiz #
370,027
Updated
Dec 03 21
# Qns
10
Difficulty
Average
Avg Score
6 / 10
Plays
313
Awards
Top 35% Quiz
- -
Question 1 of 10
1. We'll start off relatively easy. Two, four, six or eight: which is a possible number of elements in a square or n x n matrix? Hint


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Question 2 of 10
2. A perfect number is a number that is equal to the sum of its positive divisors or factors. Two, four, six or eight: which one of these is a perfect number? Hint


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Question 3 of 10
3. Two, four, six or eight: which is the only one that could be the volume of a cube with integer values for length, width and height? Hint


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Question 4 of 10
4. In algebra a quadratic function is a polynomial of the second order, meaning it has a maximum exponent of two of its terms. Two, four, six or eight: what is the maximum number of real roots or zeroes for a quadratic function? Hint


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Question 5 of 10
5. Two, four, six or eight: what is the quotient that results from taking the number of sides in a icosagon divided by the number of sides in a decagon? Hint


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Question 6 of 10
6. It is well known that the constant pi relates the diameter of a circle to its circumference. Two, four, six or eight: which number is the closest in value to the distance a wheel of diameter one travels through two complete revolutions? Hint


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Question 7 of 10
7. How about a little calculus? Two, four, six or eight: which value is equal to the third derivative of the function y = x^3 (x cubed)? Hint


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Question 8 of 10
8. The binary number system is widely used by computers and consists of only 1s and 0s as digits. Two, four, six or eight: which number is represented as 1000 in the binary system? Hint


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Question 9 of 10
9. The Fibonacci Sequence is the sequence of positive integers where each term is the sum of the previous two numbers starting with one. Two, four, six or eight: which of these is the first number NOT represented in the Fibonacci Sequence? Hint


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Question 10 of 10
10. An irrational number is a real number that cannot be expressed as the ratio of two integers. Two, four, six or eight: the square root of what number is the length of the hypotenuse of a right triangle with sides of one unit and was the first discovered irrational number? Hint



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Quiz Answer Key and Fun Facts
1. We'll start off relatively easy. Two, four, six or eight: which is a possible number of elements in a square or n x n matrix?

Answer: four

 A square or n x n matrix is a matrix with the same number of columns and rows. Therefore, the number of elements has to be a square number. Of the choices, only four is a perfect square (2x2).
2. A perfect number is a number that is equal to the sum of its positive divisors or factors. Two, four, six or eight: which one of these is a perfect number?

Answer: six

 Six is a perfect number because the sum of its divisors (1, 2 and 3) is equal to 6 (1+2+3=6). The next perfect number in sequence is 28 (1+2+4+7+14=28).
3. Two, four, six or eight: which is the only one that could be the volume of a cube with integer values for length, width and height?

Answer: eight

 Of the choices, eight is the only number that has a cube root that is a whole number, which is another way of saying that you could construct a cube with whole number sides and get eight. Two, four and six would require fractional sides of a cube to obtain their value as the volume of the cube.
4. In algebra a quadratic function is a polynomial of the second order, meaning it has a maximum exponent of two of its terms. Two, four, six or eight: what is the maximum number of real roots or zeroes for a quadratic function?

Answer: two

 A quadratic function can have a maximum of two possible real zeroes, although it can also have imaginary roots or only one root. The graph of a quadratic function is a parabola, which can either touch the x-axis or pass through it twice, thus the zeroes of the function.
5. Two, four, six or eight: what is the quotient that results from taking the number of sides in a icosagon divided by the number of sides in a decagon?

Answer: two

 An icosagon is a geometric figure that has 20 equal sides, while a decagon has 10 equal sides. 20 divided by 10 is two.
6. It is well known that the constant pi relates the diameter of a circle to its circumference. Two, four, six or eight: which number is the closest in value to the distance a wheel of diameter one travels through two complete revolutions?

Answer: six

 Pi is approximately equal to 3.14. The circumference of a circle is the diameter of the circle times pi. If a wheel completes two revolutions it is equivalent to the circumference of the circle times two. Diameter of one * pi = 3.14 * 2 = 6.28 or approximately six.
7. How about a little calculus? Two, four, six or eight: which value is equal to the third derivative of the function y = x^3 (x cubed)?

Answer: six

 To evaluate the derivative of this function, first multiply the exponent (3) by the coefficient (1) and subtract one from the exponent. This results in 3x^2 for the first derivative. The 2nd derivative is 6x, and the 3rd derivative is simply six.
8. The binary number system is widely used by computers and consists of only 1s and 0s as digits. Two, four, six or eight: which number is represented as 1000 in the binary system?

Answer: eight

 In the normal decimal system that we use to count, each digit starting at the right-most is assigned a value that is a power of 10. 10^0 = 1 (ones), 10^1 = 10 (tens), 10^2 = 100 (hundreds), and so on. With binary, each place value is a power of two. Thus the values starting at the right side are ones, twos, fours, eights, sixteens, and so on.

Therefore, eight would be represented as 1000 (1 eight, 0 fours, 0 twos, 0 ones).
9. The Fibonacci Sequence is the sequence of positive integers where each term is the sum of the previous two numbers starting with one. Two, four, six or eight: which of these is the first number NOT represented in the Fibonacci Sequence?

Answer: four

 The sequence is 1,1,2,3,5,8,13,21,34.... This sequence is probably the most well-known of all number sequences and is important in geometry, especially in regards to the golden ratio.
10. An irrational number is a real number that cannot be expressed as the ratio of two integers. Two, four, six or eight: the square root of what number is the length of the hypotenuse of a right triangle with sides of one unit and was the first discovered irrational number?

Answer: two

 The Pythagorean Theorem relates the lengths of the sides of a right triangle by taking the squares of the the sides and adding them together and taking the square root to obtain the length of the hypotenuse. The sqrt of (1^2 + 1^2) is sqrt(2). Sqrt(2) was also discovered by the Pythogoreans to be the first known irrational number, or as they described it, the hypotenuse of a right triangle is "incommensurable" with the sides.
Source: Author logikzer0

This quiz was reviewed by FunTrivia editor rossian before going online.
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Referenced Topics
Science   By The Numbers   Math   Computers   Mixed Math   Geometry   Algebra   Sequences   Calculus   Theorems  

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