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1 | | (5.0K) Find the measures of angles x and y. |
| | A) | x = 105° y = 75° |
| | B) | x = 75° y = 105° |
| | C) | x = 60° y = 120° |
| | D) | x = 45° y = 135° |
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2 | | What is the measure of one of the exterior angles of a regular pentagon? |
| | A) | 144° |
| | B) | 108° |
| | C) | 72° |
| | D) | 36° |
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3 | | Each interior angle in a polygon measures 135°. How many sides does the polygon have? |
| | A) | 5 |
| | B) | 6 |
| | C) | 7 |
| | D) | 8 |
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4 | | Raoul conjectures that the median for any triangle is also an altitude. |
| | A) | This is true for any side of an equilateral triangle, or for the non-equal side of an isosceles triangle. |
| | B) | This is only true for any side of an equilateral triangle. |
| | C) | This is only true for the non-equal side of an isosceles triangle. |
| | D) | This is always true. |
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5 | | Consider the statement: the diagonals of a rhombus always meet at right angles. |
| | A) | This statement is false. A counter-example is the diagonals of a square. |
| | B) | This statement is false. A counter-example is the diagonals of a kite. |
| | C) | This statement is false. A counter-example is the diagonals of a rectangle. |
| | D) | This statement is always true. |
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6 | | (4.0K) A right-angled triangle has two shorter sides that measure 8 cm and 15 cm. Find the area and perimeter of the triangle. |
| | A) | The area is 120 cm2, and the perimeter is 40 cm. |
| | B) | The area is 60 cm2, and the perimeter is 40 cm. |
| | C) | The area is 60 cm2, and the perimeter is 80 cm. |
| | D) | The area is 120 cm2, and the perimeter is 80 cm. |
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7 | | (5.0K) Marisa built a square garden in her back yard, measuring 5 m on a side. She installed a circular fish pond in the middle of the garden, with a radius of 1 m. Find the area available for growing plants and flowers. |
| | A) | 25 m2 |
| | B) | 21.9 m2 |
| | C) | 18.7 m2 |
| | D) | 12.4 m2 |
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8 | | (4.0K) A tourist tent was designed in the shape of a pyramid with a base length of 4 m and a height of 1.5 m. Find the area of canvas needed to make the tent. |
| | A) | 12 m2 |
| | B) | 18 m2 |
| | C) | 20 m2 |
| | D) | 36 m2 |
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9 | | Gino offers Belgian Waffle Cones at his ice cream stand. Each cone has a radius of 10 cm and a height of 24 cm. How much waffle dough is needed to make one cone? |
| | A) | 754 cm2 |
| | B) | 785 cm2 |
| | C) | 1068 cm2 |
| | D) | 1100 cm2 |
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10 | | The fuel tank for an early fighter jet was in the form of a sphere with a radius of 80 cm. How many litres of fuel could it hold? |
| | A) | 80.4 L |
| | B) | 512.0 L |
| | C) | 2144.7 L |
| | D) | 6434.0 L |
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11 | | Marcy bought 240 cm of gold trim at the fabric store. She made a decorative towelette with the maximum area that she could trim. What was the area of the towelette? |
| | A) | 3600 cm2 |
| | B) | 3500 cm2 |
| | C) | 3200 cm2 |
| | D) | 2700 cm2 |
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12 | | Nino bought his cousin 2.5 L of jelly beans as a birthday present. He didn't have much wrapping paper, so he chose a box with a square base that minimized the amount of paper that he needed. What were the dimensions of the box? |
| | A) | 1 cm by 25 cm by 100 cm |
| | B) | 5 cm by 5 cm by 100 cm |
| | C) | 5 cm by 10 cm by 50 cm |
| | D) | 13.6 cm by 13.6 cm by 13.6 cm |
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13 | | Tina was planning the construction of a large number cube as a prop for the school play. She had enough white paint available to paint 2 m2. What is the maximum volume of the number cube that she can make? |
| | A) | 0.19 m3 |
| | B) | 0.38 m3 |
| | C) | 1.41 m3 |
| | D) | 2.82 m3 |
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14 | | A cylindrical storage tank for liquid nitrogen must have a minimum surface area to help keep it cold. If the tank holds 600 L, find the dimensions of the tank. |
| | A) | r = 91.4 cm, h = 182.8 cm |
| | B) | r = 45.7 cm, h = 91.4 cm |
| | C) | r = 84.3 cm, h = 168.6 cm |
| | D) | r = 168.6 cm, h = 337.4 cm |
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15 | | A cylindrical oil drum was made from 19 000 cm2 of steel, and designed to maximize the volume. How many litres of oil could it hold? |
| | A) | 50.3 L |
| | B) | 100.5 L |
| | C) | 201.1 L |
| | D) | 402.2 L |
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