7th Grade Geometry Practice

CCSS Math & SBAC

 





This quiz illustrates the range of difficulty expected by the following Common Core State (CCS) standards.

QuestionCommon Core Standard #CCSS Math Excerpt
17.G.1...solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale...
27.G.1...solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale...
37.G.1...solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale...
47.G.3...describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.../td>
57.G.4...know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle...
67.G.5...use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure...
77.G.6...solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms...
87.G.6...solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms...
97.G.6...solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms...



Question 1: Triangle ABC is similar to triangle DEF. What is the length of DE, if AB = 4.5 cm, BC = 6 cm and EF = 3 cm?









Questions 2 and 3: The ratio of the radii of two circles C1 and C2 is 1.5.
The ratio between the circumferences of circles C1 and C2 is and the ratio between the areas of circles C1 and C2 is .


Question 4: The pyramid in the figure below has a base in the shape of a rectangle with the length of 12cm and the width of 6.5cm. The height of the pyramid is 7cm. What is the area of the geometric shape ABCD that results from the intersection of the pyramid with a plane parallel to the base? The distance between the base of the pyramid and the parallel plane is equal to half of the height of the pyramid.









Question 5: Which of the following numbers is closer to the area of a circle with a radius of 2.1?















Question 6: If M is a point on the AD line in the figure below, the value of the BMC angle is degrees.




Question 7: The ratio between the volume of a cube and the surface area of the same cube is:









Question 8: The square S in the figure below has its sides measuring a inches. What is the width of the rectangle R if the length of R is 2a and the areas of the square S and the rectangle R are equal?










Question 9: What is the area of right trapezoid ABCD in the figure below, if the area of the right triangle ABD is 12 square centimeters, and triangle BCD is isosceles?










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