grades 6 – 8 fcat 2.0 mathematics reference sheet scavenger hunt

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Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

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Page 1: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

Page 2: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

______________

Formula

1. Find the formula for the area of a circle, and then find the area of a circle with radius of 5 in. [Use 3.14 for ]

2rA

25143 ).(A

))(.( 25143A

inches square 578.A

Page 3: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

2. The formula to find the circumference of a circle is…

________________ or ________________dC rC 2

Page 4: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

3. Find the circumference of a circle with a radius of 28 cm. Use the fractional value for pi ( ) that is given on your reference sheet.

rC 2

287

222 )(C

)()( 4222C

cm 176C

Page 5: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

4. Find the formula for the area of a triangle, and then find the height of a triangle with a base of 6 in. and an area of 12 in2.

______________

Formula

hbA2

1

)()( h62

112 )(2 )(2

)()( h624 6 6

h4

Page 6: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

5. Write the formula for the volume of a rectangular prism.

______________ What does B represent in the formula? Formula

hBV

B represents the area of the base.

hwbV or

Page 7: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

6. Find the formula for a trapezoid.

______________

Formula

What does represent? )( 21 bb

Find the area of a trapezoid with bases of 13 in. and 7 in. and height of 5 in?

)( 212

1bbhA

)( 21 bb represents the sum of the lengths of the two parallel bases

))(( 71352

1A

))(( 2052

1A

inches square 50A

Page 8: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

7. Find the formula for the total surface area and the formula for the volume of a right circular cylinder.

___________________________________ __________________________

Surface Area Formula Volume Formula

BhrSA 22 222 rhrSA

BhV

hrV 2

Page 9: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

8. Find the area of the shaded region. Round your final answer to the nearest tenth of a foot. [Use 3.14 for ]

6 ft

12 ft

2 ft

2rbhA

Area of the rectangle

Area of the circle

22133126 .))(( A

561272 .A2ft 4459.A

Page 10: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

9. How much wrapping paper would be needed to cover the box with the following dimensions.

2 in

3 in4 in

hwbwbhSA 222

))(())()(())()(( 322342242 SA

122416 SAin. square 52SA

Page 11: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

10. How many feet are in a half mile?

1 mile = 5280 feet; a half mile = 2640 ft.

528022460

Page 12: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

11. How many fluid ounces are in 1 quart?

1 quart = _____ pints = _____cups = _____fluid ounces

2 2 82 4 32

1 cup = 8 fluid ounces1 pint = 2 cups1 quart = 2 pints

Page 13: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

12. How many millimeters are in a kilometer?

1meter = 100 centimeters = 1000 millimeters1 kilometer = 1000 meters

smillimeter 000000110001000 ,,

Page 14: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

13. You are designing a ramp for a restaurant to accommodate wheeled items. You want the ramp to be 6 feet high at the end and 8 feet long. How long should the board ramp be?

8 ft

6 ftc222 cba

222 68 c23664 c2100 cc10

Page 15: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

14. What is the formula used to find the sum of the interior angles of a regular octagon?

______________

Formula

)( 2180 n

Page 16: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

15.Find the surface area of a right circular cylinder.

[Use the fractional value for ]

3 ft

8 ft

BhrSA 22 222 rhrSA

242342 )()()()()( SA

Remember to cut the

diameter in half to find

the radius!!!

3224 SA

2ft 176SA

56SA

7

2256)(SA

78)(SA

Page 17: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

16. Find the area of the parallelogram.

8 ft

5 ft 4 ft

bhA

))(( 48A2ft 32A

Page 18: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

Find the dimension labeled h. [Use 3.14 for ]

17. Volume = 62.8 in³. 4 in

hBhV

hrV 2

h22143862 )().(. h)().(. 4143862

h).(. 5612862 5612.5612.

h5

Remember to cut the

diameter in half to find

the radius!!!

Page 19: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

Find the dimension labeled h. [Use 3.14 for ]

18. Volume = 336 in³.

h

7 in8 in

bwhV

h))(( 78336

h56336 56 56

h6

Page 20: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

19. What is the slope-intercept form of a linear equation?

bmxy

Page 21: Grades 6 – 8 FCAT 2.0 Mathematics Reference Sheet Scavenger Hunt

20. What are the slope and the y-intercept of the line?62 xy

_______ _________

Slope y-intercept

2 6