Answer D is the result of using the diameter in the area formula.Ħ. Answer B is the result if the circumference of the garden was calculated. Answer A is the result if the radius was not squared, i.e. Since the diameter of the garden is 10 ft, the radius of the garden is 5 ft. C: The formula for the area of a circle is A=pr 2. Answer B is the resulting two-dimensional shape if the prism was vertically sliced.ĥ. Answers A and C are the shapes that the base appears to be if one does not take into account the drawing of the 3-D image and that the prism is a right rectangular prism. Since the base of the prism is a square with sides of length 4, each of the horizontal slices would also be in the shape of a square. D: Horizontally slicing the right rectangular prism would create slices that are parallel to the base of the prism. Answers A, B, and C are all possible angle options for constructing a triangle.Ĥ. Therefore, a triangle cannot be constructed with two right angles. In Answer D, the two right angles by themselves would sum to180°, so adding an acute angle to that value would make the sum greater than 180°. D: In order to construct a triangle, the three angles must sum to 180°. Answer D results if the scale factor was incorrectly set up to have the original side lengths divided by the values of the scaled side lengths: 12/ 3=4 and 4/ 1=4.ģ. Answer C results if the scale factor was incorrectly determined by dividing the sides within each rectangle in the order of 12/ 4=3 and 3/ 1=3. Answer B results if the scale factor was incorrectly determined by dividing the sides within each rectangle in the order of 4/ 12= 1/ 3and 1/ 3= 1/ 3. Therefore, the scale factor used to scale the rectangle is 1/4. A: To determine the scale factor, take the side lengths of the scaled rectangle and divide them by the corresponding sides of the original rectangle: 1/ 4= 1/ 4 and 3/ 12= 1/ 4. Answer C results if 2 was incorrectly added to the length of each side.Ģ. Answer B results if 2 was incorrectly subtracted from each of the side lengths. Answer A results if each of the side lengths was incorrectly divided by 2. D: Since the original triangle is dilated by a scale factor of 2, the length of each side will be multiplied by 2 to get the side lengths of the new triangle. If the jewelry box is a cube with sides 8 cm long, how much fabric will Natalie need in order to cover all sides of the box?ġ. Natalie recently bought a jewelry box, but she wants to re-cover the box with a more colorful fabric. If Jason uses the dimensions shown in the picture below, how many square feet of plywood will he need to build the desk top?ġ0. He wants the desk to fit in the corner of his room and decides to go with a trapezoid design. Jason is building a desk for his bedroom. Based on that radius, what would be the distance around each tire?ĩ. He noticed that each monster truck tire had a radius of about 3 ft. Before the show, Tory got to see the trucks up close. Tory went to see a Monster Truck show at the local arena. If the garden is in the shape of a circle with a diameter of 10 feet, what is the area of the garden?Ħ. Kevin is planting vegetables in his garden. If the right rectangular prism shown below was horizontally sliced, which of the following shapes would BEST describe the resulting two-dimensional shape?ĥ. Which of the following sets of angles CANNOT be used to construct a triangle?Ĥ. What scale factor was used to scale the rectangle?ģ. If the triangle is dilated by a scale factor of 2, what is the perimeter of the new triangle? Common Core Grade 7 Mathematics Exam Study Guide with Practice Questions 1.
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