category: math

question: What is 12 multiplied by 13?

answer: 12 multiplied by 13 equals 156.


category: math

question: What is 144 divided by 12?

answer: 144 divided by 12 equals 12.


category: math

question: What is the sum of 17 and 25?

answer: The sum of 17 and 25 is 42.


category: math

question: What is 100 minus 37?

answer: 100 minus 37 equals 63.


category: math

question: What is 7 times 8?

answer: 7 times 8 equals 56.


category: math

question: What is 81 divided by 9?

answer: 81 divided by 9 equals 9.


category: math

question: What is 15 percent of 200?

answer: 15 percent of 200 is 30.


category: math

question: What is three-quarters of 60?

answer: Three-quarters of 60 equals 45.


category: math

question: What is two-fifths of 100?

answer: Two-fifths of 100 equals 40.


category: math

question: What is 0.75 expressed as a fraction in lowest terms?

answer: 0.75 expressed as a fraction in lowest terms is 3/4.


category: math

question: What is the area of a rectangle that is 12 units long and 5 units wide?

answer: The area is 60 square units, found by multiplying length by width.


category: math

question: What is the perimeter of a rectangle that is 12 units long and 5 units wide?

answer: The perimeter is 34 units, calculated as twice the length plus twice the width.


category: math

question: What is the area of a triangle with a base of 10 and a height of 6?

answer: The area is 30 square units, calculated as one-half times base times height.


category: math

question: What is the circumference of a circle with a radius of 7, in terms of pi?

answer: The circumference is 14 times pi, since circumference equals 2 times pi times the radius.


category: math

question: What is the value of 5 factorial?

answer: 5 factorial equals 120, calculated as 5 times 4 times 3 times 2 times 1.


category: math

question: What is 2 to the power of 10?

answer: 2 to the power of 10 equals 1024.


category: math

question: What is 3 to the power of 4?

answer: 3 to the power of 4 equals 81.


category: math

question: What is the greatest common divisor of 18 and 24?

answer: The greatest common divisor of 18 and 24 is 6.


category: math

question: What is the least common multiple of 4 and 6?

answer: The least common multiple of 4 and 6 is 12.


category: math

question: How many prime numbers are there between 1 and 20?

answer: There are 8 prime numbers between 1 and 20: 2, 3, 5, 7, 11, 13, 17, and 19.


category: math

question: Is 1 considered a prime number?

answer: No, 1 is not a prime number; by definition a prime must have exactly two distinct positive divisors, which 1 does not have.


category: math

question: What is the smallest prime number?

answer: The smallest prime number is 2, since it is the first positive integer with exactly two distinct divisors, namely 1 and itself.


category: math

question: What is the sum of the first 10 positive integers?

answer: The sum of the first 10 positive integers is 55, following the formula n times n plus 1 divided by 2.


category: math

question: What is the average of the numbers 5, 7, 9, and 11?

answer: The average (mean) is 8, found by summing the four numbers and dividing by 4.


category: math

question: What is the median of the numbers 3, 5, 7, 9, and 11?

answer: The median is 7, because it is the middle value when the numbers are arranged in order.


category: math

question: What is 60 percent expressed as a fraction in lowest terms?

answer: 60 percent equals 3/5 as a fraction in lowest terms.


category: math

question: What is 125 percent expressed as a decimal?

answer: 125 percent expressed as a decimal is 1.25.


category: math

question: What is 0.0625 expressed as a fraction in lowest terms?

answer: 0.0625 equals 1/16 as a fraction in lowest terms.


category: math

question: How many degrees are in a right angle?

answer: A right angle measures exactly 90 degrees.


category: math

question: How many degrees are in a straight line?

answer: A straight line measures 180 degrees.


category: math

question: How many degrees are in a complete circle?

answer: A complete circle measures 360 degrees.


category: math

question: How many degrees are in the interior angles of a triangle?

answer: The interior angles of any triangle sum to 180 degrees.


category: math

question: How many degrees are in the interior angles of a quadrilateral?

answer: The interior angles of any quadrilateral sum to 360 degrees.


category: math

question: How many degrees are in the interior angles of a regular pentagon?

answer: The interior angles of a regular pentagon sum to 540 degrees.


category: math

question: How many sides does a hexagon have?

answer: A hexagon has 6 sides.


category: math

question: How many sides does an octagon have?

answer: An octagon has 8 sides.


category: math

question: What is the name of a polygon with 12 sides?

answer: A polygon with 12 sides is called a dodecagon.


category: math

question: In a right triangle, what does the Pythagorean theorem state?

answer: The Pythagorean theorem states that the square of the hypotenuse equals the sum of the squares of the other two sides, written a squared plus b squared equals c squared.


category: math

question: What is the length of the hypotenuse of a right triangle whose legs are 3 and 4?

answer: The hypotenuse is 5, since 3 squared plus 4 squared equals 9 plus 16 equals 25, and the square root of 25 is 5.


category: math

question: How many vertices does a cube have?

answer: A cube has 8 vertices.


category: math

question: How many edges does a cube have?

answer: A cube has 12 edges.


category: math

question: How many faces does a cube have?

answer: A cube has 6 faces.


category: math

question: What is the formula for the area of a circle?

answer: The area of a circle equals pi times the radius squared.


category: math

question: What is the formula for the volume of a rectangular box?

answer: The volume equals length times width times height.


category: math

question: How many feet are in one mile?

answer: There are 5,280 feet in one mile.


category: math

question: How many grams are in one kilogram?

answer: There are 1,000 grams in one kilogram.


category: math

question: How many inches are in one foot?

answer: There are 12 inches in one foot.


category: math

question: How many centimeters are in one inch?

answer: There are 2.54 centimeters in one inch.


category: math

question: How many milliliters are in one liter?

answer: There are 1,000 milliliters in one liter.


category: math

question: How many minutes are in one hour?

answer: There are 60 minutes in one hour.


category: math

question: How many seconds are in one day?

answer: There are 86,400 seconds in one day, since 24 times 60 times 60 equals 86,400.


category: math

question: How many ounces are in one pound?

answer: There are 16 ounces in one pound.


category: math

question: What is the freezing point of water in degrees Celsius?

answer: Water freezes at 0 degrees Celsius.


category: math

question: What is the boiling point of water in degrees Celsius?

answer: Water boils at 100 degrees Celsius at standard atmospheric pressure.


category: math

question: What is the freezing point of water in degrees Fahrenheit?

answer: Water freezes at 32 degrees Fahrenheit.


category: math

question: What is the boiling point of water in degrees Fahrenheit?

answer: Water boils at 212 degrees Fahrenheit at standard atmospheric pressure.


category: math

question: At what temperature in degrees Fahrenheit are the Celsius and Fahrenheit scales equal?

answer: The Celsius and Fahrenheit scales are equal at negative 40 degrees.


category: math

question: If a car travels at 60 miles per hour for 4 hours, how far does it travel?

answer: The car travels 240 miles, since distance equals speed multiplied by time.


category: math

question: If you run 3 miles in 30 minutes, what is your average speed in miles per hour?

answer: Your average speed is 6 miles per hour, since 3 miles divided by 0.5 hour equals 6.


category: math

question: What is a tip of 20 percent on a $45 restaurant bill?

answer: A 20 percent tip on $45 is $9.


category: math

question: In the equation y equals 3x plus 2, what is the slope?

answer: The slope is 3, since in slope-intercept form y equals mx plus b, m represents the slope.


category: math

question: In the equation y equals 3x plus 2, what is the y-intercept?

answer: The y-intercept is 2, since the constant term in slope-intercept form is the y-intercept.


category: math

question: What is a variable in algebra?

answer: A variable is a symbol, usually a letter, that represents an unknown or changeable numerical value.


category: math

question: What is a coefficient in an algebraic expression?

answer: A coefficient is the numerical factor that multiplies a variable, such as the 5 in the term 5x.


category: math

question: What does it mean to solve an equation?

answer: To solve an equation means to find the value or values of the variable that make the equation true.


category: math

question: What is the value of x in the equation 2x plus 6 equals 14?

answer: The value of x is 4, found by subtracting 6 from both sides and then dividing by 2.


category: math

question: What is a monomial in algebra?

answer: A monomial is an algebraic expression consisting of a single term, such as 5x, 3x squared, or 7.


category: math

question: What is the value of pi to two decimal places?

answer: Pi is approximately 3.14 to two decimal places.


category: math

question: What is the approximate value of the mathematical constant e?

answer: The constant e, the base of natural logarithms, is approximately 2.71828.


category: math

question: What is the approximate value of the golden ratio?

answer: The golden ratio is approximately 1.618, often denoted by the Greek letter phi.


category: math

question: Who is known as the father of geometry?

answer: The ancient Greek mathematician Euclid is known as the father of geometry for his work The Elements.


category: math

question: Which Greek mathematician is famous for the theorem about right triangles?

answer: Pythagoras is the Greek mathematician traditionally credited with the Pythagorean theorem about right triangles.


category: math

question: What famous constant is associated with the mathematician Leonhard Euler?

answer: Euler is associated with the constant e, the base of natural logarithms, as well as many theorems and notations used in mathematics.


category: math

question: Which mathematician is famous for summing the integers from 1 to 100 as a schoolboy?

answer: Carl Friedrich Gauss reportedly summed the integers from 1 to 100 as a schoolboy by pairing numbers to total 101.


category: math

question: Which mathematician is famous for inventing calculus along with Leibniz?

answer: Isaac Newton is credited, along with Gottfried Wilhelm Leibniz, with independently inventing calculus in the 17th century.


category: math

question: Which ancient Greek mathematician is famous for shouting 'Eureka'?

answer: Archimedes is the ancient Greek mathematician famously associated with shouting Eureka when he discovered a principle of buoyancy.


category: math

question: Who is often regarded as the first computer programmer?

answer: Ada Lovelace is often regarded as the first computer programmer for her work on Charles Babbage's proposed analytical engine in the 19th century.


category: math

question: Who proved Fermat's Last Theorem in 1994?

answer: The British mathematician Andrew Wiles proved Fermat's Last Theorem in 1994, completing work he first announced in 1993.


category: math

question: Who is credited with discovering the law of gravity and co-inventing calculus?

answer: Isaac Newton is credited with discovering the law of universal gravitation and co-inventing calculus.


category: math

question: Who wrote the book The Elements, a foundational geometry textbook?

answer: The Greek mathematician Euclid wrote The Elements, a foundational geometry textbook used for centuries.


category: math

question: Which mathematician developed the field of analytic geometry?

answer: The French mathematician René Descartes developed analytic geometry, which combines algebra and geometry using coordinates.


category: math

question: Who is famous for the Fermat's Last Theorem?

answer: Pierre de Fermat is famous for Fermat's Last Theorem, a statement he wrote in the margin of a book claiming he had a proof that was too large to fit.


category: math

question: Which number is known as the additive identity?

answer: The number zero is known as the additive identity, because adding zero to any number leaves it unchanged.


category: math

question: What is a rational number?

answer: A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero.


category: math

question: What is an irrational number?

answer: An irrational number is a real number that cannot be expressed as a ratio of two integers, such as pi or the square root of 2.


category: math

question: What does it mean for a number to be even?

answer: A number is even if it is divisible by 2 with no remainder.


category: math

question: What does it mean for a number to be odd?

answer: A number is odd if it is not divisible by 2, meaning dividing by 2 leaves a remainder of 1.


category: math

question: What is the Fibonacci sequence's first six terms starting with 1, 1?

answer: The first six terms of the Fibonacci sequence starting with 1, 1 are 1, 1, 2, 3, 5, and 8, where each term is the sum of the two previous terms.


category: math

question: What is a prime factor of 60?

answer: A prime factor of 60 is one of the prime numbers 2, 3, or 5, since 60 equals 2 times 2 times 3 times 5.


category: math

question: What is the probability of flipping a fair coin and getting heads?

answer: The probability is 1/2 or 50 percent, since a fair coin has two equally likely outcomes.


category: math

question: What is the probability of rolling a 6 on a standard six-sided die?

answer: The probability is 1/6, since a fair die has six equally likely outcomes and only one face is six.


category: math

question: What type of graph is best for showing parts of a whole?

answer: A pie chart is best for showing parts of a whole, with each slice representing a proportion of the total.


category: math

question: What type of graph is best for showing how a value changes over time?

answer: A line graph is best for showing how a value changes over time, since it connects data points to reveal trends.


category: math

question: What type of graph uses rectangular bars to compare categories?

answer: A bar graph uses rectangular bars, with length proportional to the value being represented, to compare categories.


category: math

question: What is meant by mean in statistics?

answer: The mean is the arithmetic average of a set of numbers, found by summing them and dividing by how many numbers there are.


category: math

question: What is meant by mode in a set of numbers?

answer: The mode is the number that appears most frequently in a set, such as 5 in the set 2, 3, 5, 5, 7.


category: math

question: How many vertices does a triangle have?

answer: A triangle has 3 vertices.


category: math

question: What is the relationship between radius and diameter of a circle?

answer: The diameter of a circle is twice the radius, since the diameter passes through the center and equals the longest chord.


category: math

question: What is a prime factorization?

answer: A prime factorization is the expression of a number as a product of prime numbers, such as 12 equals 2 times 2 times 3.


category: math

question: What is the sum of the angles around a single point?

answer: The sum of the angles around a single point is 360 degrees.