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6th Grade Math - Geometry

Common Core Math

 





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

QuestionCommon Core Standard #Math CCSS Excerpt
16.G.1...find the area of right triangles, other triangles...
26.G.1...find the area of right triangles, other triangles, special quadrilateral and polygons...
36.G.2...apply the formulas V=lwh and V=Bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems...
46.G.2...apply the formulas V=lwh and V=Bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems...
56.G.3...use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate...
66.G.3...use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate...
76.G.3...use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate...
86.G.4...represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures...



Question 1: Which of the following represent the area of triangle ABC in the figure below?














Question 2: In the figure below, quadrilateral ABCD has AB parallel with CD, BC=3 and AB=4. What is the area of the triangle ABD?










Questions 3 and 4: A rectangular tank is 80 cm wide and 50 cm long. It can hold up to 120 liters of water when full. If you fill one fourth of the tank, the height of the water in centimeters is cm and the height of the tank is cm.
(Recall that 1 liter = 1000cm3.)



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Question 5: What is the area of polygon ABCDEFGHI in the coordinate plane from the figure below?








Questions 6 and 7:


In the figure above, the side DE of the polygon ABCDEFGHI has a length of meters, and the side HI of the same polygon has a length of meters.



Questions 8: The surface of rectangular solid in the figure below is divided into smaller identical squares. If the areas of these squares measure 2.5 square inches, then the surface area of the rectangular solid is square inches.





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