Question | Answer |
Find the volume of a cone that has a diameter of 6 inches and a height of 10 inches. Use 3 for pi. Be sure to show your work. | 90 cubic inches
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Find the hypotenuse of a triangle that has a leg of 10 cm and a leg of 24 cm. Be sure to show your work. | 26 cm
| A rectangle with an area of 15 square inches is dilated by a scale factor of two-thirds. Find the area of the new rectangle. Be sure to show your work. | 6 2/3 square inches
| Find the surface area of a rectangular prism that has a length of 4 ft, a width of 3 feet, and a height of 2 feet. Be sure to show your work. | 52 square feet
| A triangle has a base of 8 mm and a height of 12 mm. Find the area of a similar triangle that has a base of 6 mm. Be sure to show your work. | 27 square mm
| A student raised her math average from a 75 to a 90. What was the percent of increase? Be sure to show your work. | 20% increase
| If 89 = 4x – 17, what is the value of x? Be sure to show your work. | 26.5
| What is the capacity of a cylindrical barrel that has a height of 2.5 feet and a diameter of 2.4 feet? Use 3 for pi. Be sure to show your work. | 10.8 cubic feet
| Danny walked 9 blocks north to school and then 12 blocks east to the park. What is the shortest distance that Danny can walk home? Be sure to show your work. | 15 blocks
| Is (2, 4) a solution for the equation y = -4x – 4? Show proof. | yes
| If all the dimensions of a 1-foot cube are doubled, what is the volume of the new cube? Be sure to show your work. | 8 cubic feet
| If a soup can has a height of 5 inches and a radius of 2 inches, what is the area of its label? Use 3 for pi. Be sure to show your work. | 30 square inches
| If a Jeep averages 13 miles to the gallon, how much gasoline would be needed to travel 234 miles? Be sure to show your work. | 18 miles
| If Emma can type 35 words per minute, how long would it take her to type her 770-word essay? Be sure to show your work. | 22 minutes
| If the point (3, -11) is reflected across the x-axis, what are the coordinates of the resulting image? Explain why. | (3, 11)
| A bag contains 5 red marbles, 3 blue marbles, and 2 yellow marbles. If you take two marbles from the bag (without replacement), what is the probability that they will both be red? Be sure to show your work. | 2 out of 9
| If a triangle with a perimeter of 21 cm is dilated by a scale factor of one-third, what would be the perimeter of the new triangle? Be sure to show your work. | 7 cm
| The dimensions of a rectangular prism that has a volume of 48 cubic feet are all dilated by a scale factor of one-half, what would be the capacity of the new prism? | 6 cubic feet |