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Grades 6-8 FCAT mathematics Reference Sheet

Area
KEY
 b = base h = height l = length w = width S.A. = Surface area d= diameter r = radius A = area C = circumference V = volume
Use 3.14 or 22/7 for p Triangle

A = 1/2 bh Rectangle

A = lw Trapezoid

A = 1/2 h(b1 + b2) Parallelogram

A = bh

Circumference
C = pd = 2pr Circle A = pr2

 In a polygon, the sum of the measures of the interior angles is equal to 180(n - 2), where n represents the number of sides.

Pythagorean theorem: c2 = a2 + b2 Volume Total Surface Area Right Circular Cylinder V = pr2h S.A. = 2prh + 2pr2 Rectangular Solid V = lwh S.A. = 2(lw) + 2(hw) + 2(lh)

 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).

Grades 9-10 FCAT mathematics Reference Sheet

Area
KEY
 b = base h = height l = length w = width = slant height S.A. = Surface area d= diameter r = radius A = area C = circumference V = volume
Use 3.14 or 22/7 for p Triangle

A = 1/2 bh Rectangle

A = lw Trapezoid

A = 1/2 h(b1 + b2) Parallelogram

A = bh

Circumference
C = pd = 2pr Circle A = pr2

 Volume Total Surface Area Right Circular Cone V = 1/3 pr2h S.A. = 1/2 (2pr) + pr2 = pr + pr2 Square Pyramid V = 1/3 lwh S.A. = 4(1/2 l ) + l2 = 2l + l2 Sphere V = 4/3 pr3 S.A. = 4pr2 Right Circular Cylinder V = pr2h S.A. = 2prh + 2pr2 Rectangular Solid V = lwh S.A. = 2(lw) + 2(hw) + 2(lh)

 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.

 Pythagorean theorem: c2 = a2 + b2 Distance between two points P1(x1,y1) and P2 (x2,y2): 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): 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.

1. Make a drawing of a trapezoid.

2. Write the formula for the volume of a sphere. ______________
What is the volume of a sphere with a radius of 3 inches? _________________

3. 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.)

4. 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.

5. What is the sum of the interior angles of a regular pentagon? (5 sides)

6. 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 _____

7. 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. _________

8. Write the formula for the distance between two points. _____________________
Use this formula to find the distance between the points (-1, -1) and (3, 3). ________

9. Write the formula for simple interest. _________________
Find the simple interest on a loan of \$300 for 8 months at 6% annual interest.

10. Write the distance, rate, time formula. ________________
Using this formula, how long does it take you to drive 780 miles at 65 mph? ______

11. Write the formula for the midpoint between two points. ___________________
Find the coordinates of the midpoint between the points (8, -3) and (-2. 11). ______

12. How many inches are in a yard? _____ How many in yard? _____

13. There are _____ feet in a mile. What part of a mile is 1320 feet? _____

14. How many cups are in one gallon? _________

15. 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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