Mathematics Reference Sheets
Grades 6-8 FCAT mathematics Reference Sheet
| Area |
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Triangle
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A = 1/2 bh
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Rectangle
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A = lw
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Trapezoid
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A = 1/2 h(b1 + b2)
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Parallelogram
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A = bh
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Circumference |
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Circle | A = pr2 |
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Pythagorean theorem: c2 = a2 + b2
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| Volume |
Total
Surface Area
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Right Circular Cylinder | V = pr2h | S.A. = 2prh + 2pr2 |
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Rectangular Solid | V = lwh | S.A. = 2(lw) + 2(hw) + 2(lh) |
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Conversions
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| 1
yard = 3 feet = 36 inches 1 mile = 1,760 yards = 5,280 feet 1 acre = 43,560 square feet 1 hour = 60 minutes 1 minute = 60 seconds |
1
cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts |
| 1 liter =
1000 milliliters = 1000 cubic centimeters 1 meter = 100 centimeters = 1000 millimeters 1 kilometer = 1000 meters 1 gram = 1000 milligrams 1 kilogram = 1000 grams |
1 pound =
16 ounces 1 ton = 2,000 pounds |
| Metric numbers with four digits are represented without a comma (e.g., 9960 kilometers). For metric number greater than four digits, a space is used instead of a comma (e.g., 12 500 liters). | |
Grades 9-10 FCAT mathematics Reference Sheet
| Area |
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Triangle
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A = 1/2 bh
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Rectangle
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A = lw
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Trapezoid
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A = 1/2 h(b1 + b2)
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Parallelogram
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A = bh
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Circumference |
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Circle | A = pr2 |
| Volume |
Total
Surface Area
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Right Circular Cone
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V = 1/3 pr2h
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S.A. = 1/2 (2pr)
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Square Pyramid | V = 1/3 lwh | S.A. =
4(1/2 l ) + l2
= 2l + l2 |
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Sphere | V = 4/3 pr3 | S.A. = 4pr2 |
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Right Circular Cylinder | V = pr2h | S.A. = 2prh + 2pr2 |
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Rectangular Solid | V = lwh | S.A. = 2(lw) + 2(hw) + 2(lh) |
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In the following formulas, n represents the number of sides. In a polygon, the sum of the measures of the interior angles is equal to 180(n - 2). In a regular polygon, the measure of an interior angle is equal to [180(n - 2)] / n. |
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Pythagorean theorem: c2 = a2 + b2
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Distance between two points P1(x1,y1) and P2 (x2,y2):
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y = mx + b Slope-intercept form of an equation of a line, where m = slope and b = the y-intercept: |
Midpoint
between two points P1(x1,y1) and
P2 (x2,y2):
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d = rt Distance, rate, time formula, where d = distance, r = rate, t = time. |
I = prt Simple interest formula, where p = principal, r = rate, t = time. |
|
Conversions
|
|
| 1
yard = 3 feet = 36 inches 1 mile = 1,760 yards = 5,280 feet 1 acre = 43,560 square feet 1 hour = 60 minutes 1 minute = 60 seconds |
1
cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts |
| 1 liter =
1000 milliliters = 1000 cubic centimeters 1 meter = 100 centimeters = 1000 millimeters 1 kilometer = 1000 meters 1 gram = 1000 milligrams 1 kilogram = 1000 grams |
1 pound =
16 ounces 1 ton = 2,000 pounds |
| Metric numbers with four digits are represented without a comma (e.g., 9960 kilometers). For metric number greater than four digits, a space is used instead of a comma (e.g., 12 500 liters). | |
| FCAT MATH REFERENCE SHEET |
Name
______________________
|
DIRECTIONS: Refer to your FCAT Mathematics Reference Sheet to answer each of the following.
- Make a drawing of a trapezoid.
- Write the formula for the
volume of a sphere. ______________
What is the volume of a sphere with a radius of 3 inches? _________________
- Write the formula for the total surface area _____________________
and the volume ________________________ of a right circular cylinder.
Use the correct formula to find how many ounces of broth could be held
in a cylinder that has a radius of 2 inches and a height of 7 inches
if every cubic inch of volume contains one-fourth ounce of broth. Round
your answer to the nearest whole number.)
- Find the circumference of a circle with a radius of 14 cm. Use the
fractional value for pi (p) that
is given on your reference sheet.
- What is the sum of the interior angles of a regular pentagon? (5 sides)
- If the equation of a given line is y =
x
+ 2, what is the slope of the line, and what is its
y-intercept? Slope _____ y-intercept _____
- Write out the Pythagorean Theorem . _______________ The hypotenuse
is represented by the letter ____ and the two legs are represented by
the letters ____ and ____ . Find the length of the hypotenuse of an
isosceles right triangle with legs of 5 units. Round your answer to
the nearest hundredth or give the exact square root answer. _________
- Write the formula for the distance between two points. _____________________
Use this formula to find the distance between the points (-1, -1) and (3, 3). ________
- Write the formula for simple interest. _________________
Find the simple interest on a loan of $300 for 8 months at 6% annual interest.
- Write the distance, rate, time formula. ________________
Using this formula, how long does it take you to drive 780 miles at 65 mph? ______
- Write the formula for the midpoint between two points. ___________________
Find the coordinates of the midpoint between the points (8, -3) and (-2. 11). ______
- How many inches are in a yard? _____ How many in
yard? _____
- There are _____ feet in a mile. What part of a mile is 1320 feet?
_____
- How many cups are in one gallon? _________
- How many ounces are in one quart? _________
Find the area of each figure.
16.  |
17.  |
18.  |
Find the volume of each figure.
19.  |
20.
 |
Used by permission
of Cheryl Greenfield, Gibbs high School, 2002.
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