Math is one of the most important skills in life, and that's not just something they tell us in school. Even today, when everyone has a calculator on their phone, the ability to perform basic math in one's head saves time and energy. Figuring out a budget, calculating a car's fuel economy, and deciding if there is enough time to watch a movie all depend on a grasp of simple arithmetic.
For some, school is a far-off concept that is looked back on fondly. It's been so long that all the bad parts have washed away, and only the good memories remain. For others, school just got out a month ago, and they are starting to look forward to the start of the next school year.
Either way, everyone remembers sitting in a math class, bored out of their mind, as a teacher lectured about quadratic formula and solving for Y. It is a unifying experience, and whether it was new math, old math, or common core math, everyone learned the same basic concepts. Today we are going to test how much of that math knowledge ended up sticking. Is this math test going to be an easy A, or should we book an appointment for a tutor?
Starting this quiz out with an easy home run, to get those math equations rolling. Everyone has to learn the first 10 squares, it's a common question on almost every junior high math class. The quicker they are learned, the easier math becomes. 2X2 is 4, 3X3 is 9, but as life has progressed, many of us use less and less math. This equation would have been so much easier back in grade school, but how easy is it today?
Exponents are not always the most used item in daily math. Often we don't use them to express quick and easy equations. Instead of the above problem, most people would probably think of it as 2x2x2=x. However, understanding exponents and how they work can save a person a ton of time and a lot of energy. 2^3 is one of the most often used examples of an exponent greater than two. Without grabbing the calculator, how much does two cubed equal?
Solve for x: x+8=12
The world has trained most of us to be afraid of word problems, especially in school. Part of the trouble stems from the fact that none of us care if Johny has enough apples. However, in the real world, we find ourselves trying to figure out word problems all the time. Last week a book was on sale for eight bucks. John had planned on spending 12 so he could get something else with his money, how much more could John spend?
What is the area of a square with a side length of 4 feet?
Squares and rectangles are a part of everyday life. Every home on the planet has multiple square and rectangular rooms. We have all needed to figure out how much carpet to buy, or how many tiles we need to finish a project around a house, heck sometimes, you just want to know how big the room is. In a rectangle, two dimensions of the room have to be given, to figure out this answer, but for this problem, only one is needed, What is the area?
Remember that pesky order of operations? Mathematics is a language all its own, and like any language there are rules. As Shakespeare taught us in English, the rules are made stronger when there is someone willing to break them, but unless someone is as brilliant as Shakespeare, or Einstein, it's safer to just work within the rules of the system or at least try to. In the equation above you could get a bunch of different answers based on the order you use. Which answer is the right one?
Solve the √49
Square roots are another operation in math that is often forgotten about or overlooked after people leave math class. The fact is, there are often many ways around having to know a root right away. You can always just break a number down to its factors, and eventually, you would realize it is a square. It does make life a lot quicker and easier though if you can identify all the roots for numbers under 10 by sight. What is the square root of 49?
What percent is 10/25?
Percentages, the bane of every news readers day. It has been said that 75% of all statistics are made up right on the spot. (that statistic was completely made up just now, helping to prove the old saying.) Even when a percentage is true, there are many factors that affect how the result is achieved. If a person asks only New Yorkers who their favorite baseball team is, the Yankees get an advantage. However you can always figure out a percentage if you're given the numbers, What percent is 10/25?
What is π to the 3rd digit?
Pi is an extremely important number in math. It allows us to figure out the area of circles. Pi is a number that can be calculated out to an infinite number of digits. The number gets its name from the 16th letter in the Greek alphabet. People actually celebrate the number every year on March 14th because of how important it is to the world of math and engineering. In the modern era we can use a calculator to approximate pi, but in a pinch what number can be substituted for pi?
What does 4! equal to?
No, we are not just shouting out 4. This isn't a golf course. An exclamation point in math denotes a factorial operation. Often shown as n! this math equation is used in statistics to figure out the probability of an event. 4! would tell you how many different ways you can arrange 4 numbers. it is much quicker than writing out all the different arrangements. Knowing what is possible allows you to figure out the likelihood of specific results. What does 4! equal to?
x^2+2x+1=0, Solve for x.
The simple quadratic equation. In a pinch, this equation is always solvable using the quadratic formula, but this equation is specifically set up to be simple to factor. For this equation, it is essential to remember the rules of FOIL: first, outer, inner, and last. This equation only has one answer twice, as opposed to getting two possible answers, because the factor of this equation looks like (x+y)^2. What is the answer to this simple example of a quadratic equation?
2x+3x=25, solve for x.
Sometimes math is set up to look harder than it actually is. Remember that simplifying an equation can often make the whole problem so much easier. What if John had 25 dollars. He wanted to buy hot dogs and buns. The hot dogs cost 3 dollars and the buns cost two dollars. John wants to get the same number of buns as hotdogs, otherwise, he's wasting money. This problem seems complicated until you simplify the problem by combining the prices of hot dogs and buns. What does x equal?
3x+y=8, solve for y
Sometimes in math, the answer itself isn't the most important part of a problem. In many cases getting the equation to fit correctly makes it easier to solve in the long run. In the above problem we would have to set any other equation to 8 to substitute in our variables. Though we can often do that, it would be very hard and confusing. If we set the equation to equal one of the variables, then we can set another equation to the same variable and solve. How can we set this equation to y?
Every cook knows and loves adding, subtracting, multiplying and dividing fractions. Any time a cook wants to double a recipe, combine two recipes, or half a recipe, they have to manipulate fractions. The above answer will actually be a complex fraction, and so we can give both the complex and simplified answer because sometimes it is easier to work with one or the other. If the chef already has his half cup and quarter cup tools, they may not feel like finding the whole cup measure. What is the answer?
One way to make any math equation easier is to go through and simplify everything. complex fractions can sometimes be simplified into whole numbers that make an entire equation less bulky. Everyone gets a little scared when they see an equation that looks like this: (((4/4) +(4/2)- (6/3))2)/2, but when you simplify it down, the whole equation becomes on very straightforward and easy problem. No one is scared of 1+2+2. One key to math is always to break a problem into its simplest form, What is 12/4 simplified?
In math, what number does i stand for?
i is the imaginary number. It stands for a specific number in math, that can't actually exist, but often does to give us negative squares. For example, 2i^2 equals -4. Though i is an imaginary number it does have a decided upon value created by mathematicians Leonhard Euler and Carl Friedrich Gauss. Teachers do not like it when a smart-mouthed student answers this question with dragon, or Batman. (Those answers have been tried, and they both failed.) What is the real, mathematically accepted value of i?
The two legs of a right triangle are both 2, what does the hypotenuses equal?
Who paid attention in geometry and remembers the Pythagorean theorem? Oh come one, surely somebody was awake for that class. Well if you were, this question would be very easy for you to figure out. The concept is that the sums of the squares of the legs are equal to the hypotenuse squared...wake up back there, this is important for this question. Stated simpler, a^2+b^2=c^2. Equations always look so much simpler when written out. What is the measurement of this triangles' hypotenuses?
what does 22/7 equal?
This may be hard to believe for some, but there was a time in the not too distant past where people did not have access to calculators for every math problem, in fact only 70 years ago many classrooms still used personal chalkboards for math to help save money on notebook paper. Sometimes people wanted to figure out the area of a circle with more precision, and that is where 22/7 becomes important. This complex fraction approaches a certain value, what is it?
What is the quadratic formula?
The quadratic formula is a mathematician's pull in case of emergency option. Almost every math person will try to factor the equation first because people don't go into math unless they are good at seeing hints and patterns. For the rest of us, algebra class became a fairly constant exercise in long plug and play equations. Factoring has always seemed very guess and check, especially if it's hard to see the FOIL pattern. This equation would always get you the answers though. What is the equation?
Tangent is descibed as which two parts of a right triangle?
Cosine, Sine, and Tangent are all very useful and important properties of a triangle. Every ramp you use has these math values to thank for the incline angles that make them easy to climb. Engineering relies very heavily on angles. In a right triangle, we know that the cosine is opposite over hypotenuse, and sine is adjacent over hypotenuse. But can you remember the last part of the Soh, Cah, mnemonic? What two parts of a right triangle make up tangent?
What are the prime factors of 32?
Prime factors of a number can reveal a lot about a number. Anytime a fraction or an equation needs to be simplified knowing the factors of a number can help a mathematician make a problem easier. any number that ends in an even number can be divided by 2. Any number whose parts add to 3 can be divided by 3, like 102. If a number can be divided by 2 and three, it can be divided by 6, like 102. Tricks make factoring easier, but what are the prime factors of 32?
What does π/2 radians= in degrees?
The unit circle was a math concept created to torture any high school student who was smart enough to take trigonometry. The unit circle is an imaginary circle that passes through points 1,0 0,1 -1,0 and 0-1. The circle is used to show the relationship between sine, cosine, tangent, and the conversion of radians into degrees. There is an equation that a converts radians into degree, but there are some fairly easy to convert values. what does π/2 equal in degrees?
(2/3) x (5/6)=?
Multiplying a fraction is a bit different than adding them. First of all, you don't have to find the least common denominator when you are multiplying, in that way it can actually be easier than adding fractions. Once again this answer will be in a form that can be simplified, so give the final answer in the simplified form. like multiplying decimals, the resulting number is going to be smaller than the number you start with. What does(2/3) X (5/6) equal?
What does 2.1/.3 equal?
Decimals and fractions together? How can this be? This equation becomes much simpler when it is said out loud. 2.1 divided by .3. Remember that as long as both the numerator and denominator are multiplied by the same number the equation remains the same, so it is easy to get rid of the decimals in this equation. Then it becomes a very simple division problem. This problem is another one that becomes so much easier when it is simplified. What is the answer?
If you toss a coin three times, what is the probability of getting three heads?
Everyone knows that a coin flip is a 50/50 chance. And that is true, but if you are trying to get a specific outcome from multiple coins tosses the odds change each time. Each event has a one in two chance of landing heads or tails, but to get three heads in three tosses becomes much harder. Look at all the possible outcomes. You could get three heads, three tails, or a mix of heads and tails. What are the odds that you get three heads in a row?
Which of the following numbers is a prime number?
Prime numbers are numbers whose factors are 1 and itself. in the lower numbers it's easy to find primes, 2,3, and 7 are all fairly easy to factor quick, but as the numbers get higher it can get more difficult. One quick test is if a number is even. Other than 2, even numbers can't be prime. For the rest try some of the tricks, 5's are all divisible by 5. Also, numbers whose components add up to three are divisible by 3. Which of these numbers is prime?
In the following Fibonacci sequence, what is the next number: 1,1,2,3,5,n
Mathematicians love patterns, in fact, they love them so much that they go out of their way to identify them. A Fibonacci sequence was first identified on the Indian subcontinent by the mathematician Pingala. However, in the western world, the equation is named after Fibonacci because he described the patterns in his book Liber Abaci to account for the growth of a rabbit population. The sequence can start with any number, but the sequence always changes based on the initial number. What is the next number in this simple Fibonacci sequence?
x^2-4=0, solve for X
This is another of the classic quadratic equations, but unlike the earlier one, this will have two answers. When this formula is factored it will be in the form of (x-a) (x+a). The negative and positive a will cancel out and so you get a quadratic equation that is missing a center term. The answer will be whatever number turns x-a into 0 and x+a into 0. What are the two values for x that give you the correct answer in this equation?
What is the lowest common multiple of 4 and 8?
Finding the lowest common multiple is very important for math, especial when fractions are involved. More often than not the lowest common multiple will be the product of the two numbers, but this is not always the case, sometimes you will find an even lower number that both values share. In this equation,n a known common multiple for these numbers is 32, but that is not the lowest one. What number is the lowest common multiple of 4 and 8?
Convert .75 into a fraction
Depending on what a person is doing, sometimes fractions or decimals can be the most useful. Changing between the two isn't all that hard, and being able to do so quickly will save a person a ton of time and effort in life. Some numbers are easier than others to convert. for example, .5 and 1/2 are almost interchangeable in the modern era, mostly because people refer to it as half in either decimal or fraction form. What is .75 in fraction form?
What is 20% of 50?
Everyone eats at restaurants. At the end of the meal, the server is going to bring over the bill. Assuming the server has done a good job a tip is expected. Rather than pulling out a card that gives different percentages of a bill, there are some very simple ways to determine 20%. It's just 10% twice, and everyone can get to 10% by moving the decimal point once. How much money would a good server be getting for the meal they just served?
What is a player's batting average if he goes 2 for 5 today?
Sports stats are another place that we see percentages all the time. Consider that a player that is hitting .333 which is a fairly good average is only getting a hit in 3 out of 10 at-bats. If that was a test score it would be an F. Baseball is a perfect example of a bell curve in real life, were the best players are getting 5 out of 10 right, but they are A+ players. What is the batter's average for this outing?
Given these two equations, solve for x and y: x+y=6, 2x+y=10.
This question is very similar to a previous one where we solve for y. Pick one of the equations to solve for y, and then substitute y in the other equation. One possible option would be to have 2x+6-x=10 and solve for x, but you can solve for y in either equation will work. After you get one answer, the second number is really easy to find. Were you able to figure out x and y in the equations above?
What does I-5I equal?
In math, occasional a number will be denoted as its absolute value. The term is used to describe the magnitude of the number regardless of what the value of the number is in relation to others. This can be useful when you are trying to get a grasp on the magnitude of a change, regardless of which side of the number line it may fall. Every integer has an absolute value, and every absolute value has two integers. What is I-5I?
Turn (x-1)(x+2) into a quadratic equation
We have had two equations where you had to factor a quadratic equation to get an answer for a problem. In this equation it would be easy to get the answers, 1 and -2 would solve the quadratic, but if the question wanted to find out what quadratic equation it would solve, FOIL would have to be used. First, outer, inner, and last make this equation very easy to find. Being able to go back and forth helps find patterns. What equation factors into (x-1)(x+2)?
If there is one thing to remember about math, it has been called the universal language. 1+1 will always equal 2, even if the other language has other words, one apple, and another apple will always be 2 apples. Mathematicians have been figuring out ways to converse in math equations for years, creating fun little math equations that send messages to people who are able to decipher the math. When you simplify 7i<21u, a common emoji term is discovered. What is the simplified form?