6th Grade Standard Math Final Exam Review

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Helping kids review each and every concept tested on our final exam!

What is the Commutative Property?

In addition or multiplication, switching the order will still result in the same answer.
Example: a + b = b + a

What is the Distributive Property?

Multiply a number by the sum of other numbers. Example: 5 (4 + 6) = 5x4 + 5x6 = 20 + 30 = 50!

Which property is shown in this example?
p (q + r) = pq + pr

The Distributive Property.

Which property is shown in the two examples below?
5 x 1 = 5 5 x 0 = 0

The Identity Property.

How do you change a percent into a fraction? Example: 90%

Take away the % sign, and put the 90 over 100. Then, simplify the fraction. 90/100 = 9/10

How would you find a certain percent of a number? Example: What number is 24% of 75?

Change the percent to a decimal (remove the % sign and move the decimal two spaces to the left), then multiply it by the number you're finding the % of. Example: 0.24 x 75 = 18

Explain how to change a decimal to a percent! Examples: 8.45 and 0.005

Move the decimal two spaces to the right & add a % sign. Examples: 845% and 0.5%

How do you change a percent to a decimal? Examples: 8.2% and 45%

Remove the percent sign, then move the decimal two spaces to the left. Examples: 0.082 and 0.45

How would you change a fraction into a percent? Examples: 4/5 and 1/23

Two ways will work...either change the fraction into a new fraction with 100 as a denominator (if your denominator is a factor of 100), OR change the fraction into a decimal & move the decimal two spaces left & add a % sign. Examples: 4/5 = 80/100 = 80% and 1/23 = 0.0435 = 4.35%

If you want to change a fraction into a decimal, it's easy. You just....
Example: 1/12

Put the numerator inside the division box, and divide it by the denominator! Example: 0.8333

How many feet are in one yard?

There are 3 feet in one yard. A good estimate of one yard is about the size of a classroom door's width.

Let's say you are taking your final exam & you can't remember how many yards there are in a mile, or how many cups there are in one gallon...WHAT can you DO!?

Look at the conversion charts on your reference sheet :). All of that info is there.

When you're converting units with the metric system (like...change 200 kg to grams?), what sentence can help you remember how many spaces to move the decimal?

King Henry Doesn't usually drink chocolate milk.

What (besides the funny sentence) do each of these letters REALLY stand for?

The commonly used prefixes in the metric system: Kilo, Hecto, Deka, unit, deci, centi, and milli. The first three are capitalized because they are LARGER than a regular unit (meter, liter or gram). The others are smaller than a unit without a prefix.

Although this number has no decimal: 456
there really is a decimal we can add to it. Where would that decimal go, since 456 is a whole number?

After the 6.

Use KHDudcm to answer: Change 95.1 g to mg. 95.1g = ________ mg?

95.1 g = 95,100 kg (move the decimal three spaces to the right, since moving from u to m on the acronym is moving three letters to the right.

To convert Fahrenheit to Celcius and the other way around, you have to use formulas. Do you have to memorize them?

NO! They're on your reference sheet, at the bottom! If you're looking for a Fahrenheit answer, use the formula that has f = blahblahblah. If you're looking for Celcius, use the C = blahblahblah formula!

The code word is:

It's "area squarea!" DO NOT TELL YOUR FRIENDS ABOUT THIS CODE WORD. It is top secret.

To find the perimeter of a figure...what do you do?

You add up the lengths of all of the sides!

How would you find the perimeter of a circle, since it doesn't have sides?

Find the circumference. Sing to yourself, "If I need a circumference, I'll just use pi D!" pi D means that to find the circumference of a circle, you multiply its diameter by pi. Units are plain, not squared, since you are measuring distance and not area.

If you're ESTIMATING the area or circumference of a circle, what number would you use for pi?

3

What's the formula for finding the area of a parallelogram?

A = bh (Area = base times height). A common mistake kids make is then taking half of that number. Don't divide by two unless you're finding the area of a triangle. :)

Units for area are always...

SQUARED! That's the little two. Area is two-dimensional (2D), that's why the units are squared.

Units for volume are always...

CUBED! That's the little three. Volume has three dimensions (3D), that's why the units are cubed.

When you're graphing an inequality, when do you use an open dot on the number line?

When x is < > some number. For example: x < 4 would have an open dot on 4, and the line would go to the left (since x stands for all of the numbers LESS than four).

When you're graphing an inequality on the number line, when would you use a closed dot? (hey if you got the last one...you've got this one!)

When x is ≥ ≤ some number. For example: x ≥ 4 would have a closed dot on 4, and the line would go to the right (since x stands for all of the numbers GREATER THAN or equal to four.)

To solve equations you have to use:

Opposite operations.

When you're graphing the point (2,1) - describe how you would "move" on the coordinate plane to graph it.

You'd go OVER 2 (to the right, since 2 is positive), and then you'd go UP 1 (since 1 is positive also).

When you ADD or SUBTRACT decimals and whole numbers, you have to...

Line up the dot!

When you multiply decimals, remember to line up the numbers, ignoring the decimals. Then multiply like normal. At the end & once you've checked your work, you add up how many digits there are in your factors, and move the decimal that many spaces to the left in your product. Whew! Here's an example: 7.654 x 100.0004 Don't solve this - but how many decimal places would you have to move over to the left in the product/answer?

7!

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