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Quiz about Equations Maths by The Calculators

Equations & Maths by The Calculators! Quiz

Test your mathematic mettle with formulas, equations and trivia from The Calculators!

A multiple-choice quiz by Team Calculators. Estimated time: 4 mins.

Author
kinneylover20

Time
4 mins

Type
Multiple Choice

Quiz #
344,624

Updated
Dec 03 21

# Qns
10

Difficulty
Average

Avg Score
7 / 10

Plays
903

One at a Time - Single Page - Timed Game

Question 1 of 10

1. Which of the following is standard form of a parabola? Hint

x^2/a^2-y^2/b^2=1

y^2=mx cos B

ax^2+bx+c=y

c^2=a^2 +b^2-2ab cos C

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Question 2 of 10

2. In the formula for the area of the circle, A = pi x r^2, what does r represent? Hint

Radius

Rho

Ratio

Rhombus

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Question 3 of 10

3. Most people are familiar with Albert Einstein's famous equation [ E=mc^2 ] but do you know what each of these symbols represents? Hint

E is energy; m is mass; c is the speed of light in a vacuum

E is electricity; m is mass; c is amplitude

E is energy; m is matter; c is carbon

E is electricity; m is matter; c is the speed of light in a vacuum

4. This irrational mathematical constant shows up in not only nature, but also the human body and the arts. It shows the true beauty of mathematics. What is the ratio, equal to approximately 1.61803398874989..., better known as? Hint

The Beautiful Ratio

The Aesthetic Ratio

The Silver Ratio

The Golden Ratio

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Question 5 of 10

5. What does the mathematical equation, (x-a)^2+(y-b)^2= ((z-c)R)^2 denote in geometrical terms? Hint

A cone

A cylinder

A parabola

A prism

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Question 6 of 10

6. Rate is calculated by multiplying distance by time.

Yes

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Question 7 of 10

7. One way of expressing Ohm's Law is V=IR. If V is the potential difference across a conductor in volts, and R is the resistance of the conductor in ohms, what is I? Hint

Inductance of the conductor in henrys

Current through the conductor in units of amperes

The electrical charge of the conductor in coulombs

The magnetic field strength in teslas

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Question 8 of 10

8. Which of these is the standard form for slope-intercept formula? Hint

y=mx+b

None of these

b=mx+y

Both of these

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Question 9 of 10

9. The circumference of a circle is given by the formula C=pi x d, where d is the diameter of the circle.

True

False

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Question 10 of 10

10. What mnemonic device would help an algebra student expand/solve the expression
(4x+6)(x+2)? Hint

Every Good Boy Deserves Food

F.O.I.L

H.O.M.E.S

Roy G. Biv

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Quiz Answer Key and Fun Facts

1. Which of the following is standard form of a parabola?

Answer: ax^2+bx+c=y

The quadratic formula is used to find the solution for a parabola or conic section. Instances of the use of the quadratic formula date back to the ancient Babylonians circa 2000 BC.

2. In the formula for the area of the circle, A = pi x r^2, what does r represent?

Answer: Radius

This formula was known to the ancient Greeks and was derived by Archimedes of Syracuse. In geometry, a radius of a circle is a line from the center of the circle to the perimeter or in other words, half the diameter of the circle.

3. Most people are familiar with Albert Einstein's famous equation [ E=mc^2 ] but do you know what each of these symbols represents?

Answer: E is energy; m is mass; c is the speed of light in a vacuum

Einstein first published this equation in his paper entitled "Does the inertia of a body depend on its energy-content?". This formula represents the relationship between an object's mass and its energy content. Einstein posited that a measurable amount of mass is lost when energy is released from a system and this equation calculates that amount.

Answer: The Golden Ratio

Also known as the golden section, the golden mean, divine proportion, divine section and mean of Phidias, the Golden Ratio can be expressed as a/b=a+b/a=1.68...= phi. Some artists and architects believe the Golden Ratio makes the most pleasing and beautiful shape. The golden ratio is also used in the analysis of financial markets, in strategies such as Fibonacci retracement.

5. What does the mathematical equation, (x-a)^2+(y-b)^2= ((z-c)R)^2 denote in geometrical terms?

Answer: A cone

This particular equation, according to mathematical calculations, denotes a cone with a vortex at points a,b,c which opens in the z direction. This would be pictured on x,y,z lines, with horizontal, vertical, and diagonal axial directions of linear points in a 3-d geometrical shape.

6. Rate is calculated by multiplying distance by time.

Answer: No

It is actually the opposite: rate is calculated as distance DIVIDED by time.

7. One way of expressing Ohm's Law is V=IR. If V is the potential difference across a conductor in volts, and R is the resistance of the conductor in ohms, what is I?

Answer: Current through the conductor in units of amperes

Georg Ohm (1789-1854) will never be forgotten. He had a go at an acoustic law as well, but that wasn't quite as successful.

8. Which of these is the standard form for slope-intercept formula?

Answer: y=mx+b

Linear equations, graph as straight lines, and have simple variable expressions with no exponents on them. If you see an equation with only x and y then you're dealing with a straight-line equation. In linear equations, m is the slope and b is the y-intercept.

9. The circumference of a circle is given by the formula C=pi x d, where d is the diameter of the circle.

Answer: True

The circumference of a circle is also equal to pi times twice the radius of the circle, as the diameter is twice the length of the circle's radius.

10. What mnemonic device would help an algebra student expand/solve the expression (4x+6)(x+2)?

Answer: F.O.I.L

F.O.I.L stands for First, Outside, Inside, Last. When expanding/solving an expression like (4x+6)(x+2) use FOIL to multiply the terms inside the parenthesis in the specific order to get 4x^2 + 14x + 12.

Source: Author kinneylover20

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