2. A Polygons 100 200 300 400 500 600 700 800 900 1000 B Perimeter 100 200 300 400 500 600 700 800 900 1000 C Area 100 200 300 400 500 600 700 800 900 1000 D Volume 100 200 300 400 500 600 700 800 900 1000
3. A100 Answer: A pentagon is a five sided polygon. Question: What is the name of a five sided polygon?
4. A200 Answer: An octagon has eight sides. Question: How many sides does an octagon have?
5. A300 Answer: Three sides are needed to make a polygon. (That polygon is called a triangle!) Question: What is the fewest number of sides needed to make a polygon?
6. A400 Answer: A trapezoid is a quadrilateral that has two parallel bases. Question: What is a quadrilateral that has two parallel bases called?
7. A500 Answer: A decagon has 10 sides and it also has 10 angles. Question: How many sides and how many angles does an decagon have?
8. A600 Answer: A quadrilateral can have no more than two obtuse angles. Question: What is the greatest number of obtuse angles that a quadrilateral can have?
9. A700 Answer: A rectangle is equiangular, but not equilateral. Question: Which type of quadrilateral is an equiangular quadrilateral, but is not an equilateral quadrilateral?
10. A800 Answer:A regular polygon is a polygon that has all congruent sides and all congruent angles. Question:You know what a polygon is! Now, define regular polygon.
11. A900 Answer: A rhombus has all sides congruent, but its angles are not. Question: Which type of quadrilateral is equilateral but not equiangular?
12. A1000 Answer: A square and a rhombus are the quadrilaterals that have four congruent sides. Question: Name all the quadrilaterals that have four congruent sides.
13. B100 Answer:The perimeter of a triangle that has sides measuring 4 cm, 5cm, and 8 cm is 17 centimeters. Question: What is the perimeter of a triangle that has sides measuring 4 cm, 5cm, and 8 cm ?
14. B200 Answer: The perimeter of a rectangle that is 8 centimeters long and 3 centimeters wide is 22 centimeters. Question: What is the perimeter of a rectangle that is 8 centimeters long and 3 centimeters wide?
15. B300 Answer: A regular octagon has eight congruent sides. Its perimeter would be 64 centimeters. Question: What is the perimeter of a regular octagon that has a side that measures 8 centimeters?
16. B400 Answer: Calculate the square root of the area to find the length of a side of the square. Multiply that length by four to find the perimeter! Question: Describe a method of finding the perimeter of a square if you know the area of the same square.
17. B500 Answer: The length of the rectangle is 24 feet and the width is 12 feet. (Check: 24 + 12 + 24 + 12 = 72) Question: If the length of a rectangle measures twice the width, and the perimeter is 72 feet, find the dimensions of the rectangle.
18. B600 Answer: Each side of the triangle measures 9 centimeters. Question: The perimeter of an equilateral triangle is 27 centimeters. Find the measure of each of its sides.
19. B700 Answer: The perimeter of the triangle is 6 + 12 + 12 or 30 inches. Question: The base of an isosceles triangle measures 6 inches. If the measure of each of the congruent sides is twice the measure of the base, find the perimeter of the triangle.
20. B800 Answer: The perimeter of the square is 4 times 6 or 24 inches. Question: The area of a square is 36 square inches. Find the perimeter of the square.
21. B900 Answer: The perimeter is 3 + 4 + 3 + 4 or 14 yards. Question: A rectangle measures 9 feet by 12 feet. How many yards are in the perimeter of the rectangle?
22. B1000 Answer: The perimeter of the trapezoid is 8+ 8 + 10 + 15 or 41 inches. Question: An isoceles trapezoid has bases that measure 10 inches and 15 inches. A side of the trapezoid measures 8 inches. Find the perimeter.
23. C100 Answer: The area is 32 square centimeters. Question: Calculate the area of an isosceles right triangle that has legs measuring 8 centimeters.
24. C200 Answer: The altitude measures 4 yards. Question: The area of a trapezoid is 24 square yards. The measures of the bases are 3 yards and 9 yards. Find the measure of the altitude.
25. C300 Answer: The area is 90 times 90 or 8100 square feet. Question: A baseball diamond is a square measuring 90 feet on each side. What is the area of the infield (inside the diamond)?
26. C400 Answer: 48 squares will fit into the rectangle. Question: How many 1” by 1” squares will fit into a rectangle that measures 4” by 12” ?
27. C500 Answer: (Notice that one of the bases is measured in meters!!!) The area of the trapezoid is 780 square centimeters. Question: What is the area of a trapezoid that has a height of 12 centimeters and bases of 2 meters and 30 centimeters?
28. C600 Answer: The kitchen floor is 15 square yards. It would cost $105 to cover the kitchen floor. Question: Linoleum costs $7 a square yard. Calculate the cost to cover a 9 foot by 15 foot kitchen floor.
29. C700 Answer: The other leg of the triangle measures 12 inches. Question: The area of a right triangle is 84 square inches. If one leg measures 14 inches, find the measure of the other leg.
30. C800 Answer: (The sides of the smaller square measure 7 meters.) The sides of the larger square must measure 14 meters! Question: The area of a small square is 49 square meters. A larger square has sides that are twice as long. What is the measure of one side of the larger square?
31. C900 Answer: The area of the rectangle is 2 times 15 or 30 square inches. Question: Find the area of a rectangle that has a perimeter of 34 inches and a base of 15 inches.
32. C1000 Answer: The rectangle has an area of 12 square yards. Question: The dimensions of a rectangle are 9 ft. by 12 ft. Find the number of sq. yds. in the area of the rectangle.
33. D100 Answer: The volume of the cube is 216 cubic centimeters. Question: Find the volume of a cube that measures 6 centimeters on a side.
34. D200 Answer: The volume is 54 times 8 which equals 432 cubic inches. Question: Find the volume of a rectangular prism that has a base area of 54 square inches and a height of 8 inches.
35. D300 Answer: The volume of the cylinder is 235.5 cubic inches. Question: Find the volume of a cylinder whose base has a radius of 5 inches, and whose height measures 3 inches. (Use = 3.14)
36. D400 Answer: The volume of the prism is 214.2 cubic centimeters. Question: Find the volume of a rectangular prism that has a lenth of 8.5 cm, a width of 4.2 cm, and a height of 6 cm.
37. D500 Answer: A cubic meter is equal to 1000 cubic centimeters. The liquid would weigh 2000 grams or 2 kilograms. Question: If one cubic centimeter of a liquid weighs 2 grams, how much does one cubic meter of the same liquid weigh?
38. D600 Answer: The volume is equal to 28 cubic inches. Question: Find the volume of a pyramid that is 4 inches high, and has a rectangular base that is 6 inches long and 3.5 inches wide.
39. D700 Answer: Cheop’s pyramid had a volume of 2,592,100 cubic meters. Question: The largest pyramid in the world was built around 2500 B.C. by Khufu, or Cheops, a king of ancient Egypt. The pyramid had a square base, 230 meters on each side, and a height of 147 meters. Find the volume of Cheop’s pyramid.
40. D800 Answer: The volume is equal to 4410 . Question: What is the exact volume of a cylinder that has a 21 inch radius and a height of 10 inches?
41. D900 Answer: The volume is equal to 98 . Question: A cone has a base that is 14 inches wide. The height of the cone is 6 inches. Find the exact volume of the cone.
42. D1000 Answer: The volume is equal to 36,000 . Question: Find the exact volume of a sphere that has a radius of 30 cm.