Questions

1) Rectangle: 4 centimeters by 7 centimeters

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2) Rectangle: 8 centimeters by 5 centimeters

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3) Triangle: 3 centimeters by 3 centimeters by 1 centimeters

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4) Square: Side is 5 centimeters.

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5) Regular hexagon: Side is 9.1 centimeters.

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6) Regular octagon: Side is 4.2 centimeters.

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7) What is the circumference of a circle with a radius of 10 centimeters?

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8) What is the circumference of a circle with a radius of 6 centimeters?

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9) What is the area of the triangle?

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10) What is the area of the rectangular shaded (lavender) area that lies behind the triangle?

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11) Explain how to find the area of the triangle without using a formula.

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12) Find the area of a triangle with the following dimensions: base = 5 cm, height = 4.3 cm.

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13) Find the area of a circle with a radius of 10 centimeters.

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14) Determine the base and height of the given parallelogram, and then find the area.

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15) What is the area of a triangle with a height of eight centimeters and a base of ten centimeters?

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16) The plastic edging for flower beds comes in 50-foot rolls and cost $7.95 per roll. What is the cost to completely edge two rectangular flower beds that are 30 feet by 15 feet and one circular flower bed that has a diameter of 14 feet?

a.) $39.75

b.) $55.65

c.) $31.80

d.) $23.85

17) On paper, graph the ordered pairs and label the points. Connect the points in order from A through D with line segments. (a) What type of quadrilateral is formed? (b) What is the area of the quadrilateral?

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18) The area of rectangle BCDE is 70 square inches. If the length of AE is four inches and the length of ED is 14 inches, what is the area of trapezoid ABCD in square inches?

a.) 75

b.) 80

c.) 85

d.) 90

19) What is the sum of the exterior angles of an octagon?

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20) What is the sum of the exterior angles of a hexagon?

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21) What is the sum of the interior angles of a regular octagon?

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22) What is the sum of the interior angles of a square?

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23) 5.5 miles = _______kilometers

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24) 2 tons = ______kilograms

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25) 3 gallons = _______liters

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26) Use estimation to find the square root to the nearest tenth.

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27) Use estimation to find the square root to the nearest tenth.

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28) Use estimation to find the square root to the nearest tenth.

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29) Simplify.

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30) Simplify.

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31) Find the sum in scientific notation, and then write the answer in standard form.

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32) Find the difference in scientific notation, and then write the answer in standard form

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33) A ten year old is having his birthday party at the roller rink. Explain two different counts that his parents will estimate for the party. One should be an over-estimate and the other can be an under-estimate.

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34) An airline pilot is planning a flight from New York’s LaGuardia airport to Boston, Mass. Explain two measurements the pilot must not estimate in order to plan a safe flight.

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35) A construction worker needs to build a concrete wall to support a prefabricated ramp that will be used as a handicap access to the public library. (a) Explain why this would not be a place to estimate measurements. (b) Describe where some estimates might be adequate for the plan.

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36) Name four pairs of vertical angles.

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37) Name two pairs of alternate interior angles.

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38) Name all angles congruent to angle 1.

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39) Name all angles congruent to angle 2.

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40) Name two pairs of supplementary angles.

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41) Name two pairs of corresponding angles.

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42) On paper, draw and label point P. Draw and label point Q. Draw a line between the two points using a straight edge. What is the geometric term for the figure in the drawing?

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43) What is the ratio of the perimeter of a square to the length of its side?

a.) 1 : 1

b.) 2 : 1

c.) 1 : 3

d.) 4 : 1

44) What is the ratio of the side of a square (s) to its area (s-squared)? (Hint: Make up a length for the side of the square and find the square’s area. Then, from the length and area determined, write the ratio of the side of the square to its area, and simplify. Use this example to determine which formula below applies to all squares.)

a.) s : 2s

b.) s : 1

c.) 1 : s

d.) 2s : s

45) Twenty-one goats were shown in the county fair. This was seven less than four times the number of horses shown. How many horses were shown? (a) Write an equation that could be used to solve the problem. (b) State the solution.

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46) State the letter of the inequality that represents the solution to the given inequality.

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47) State the letter of the inequality that represents the solution to the given inequality.

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