# 8th Grade Math - Geometry

## CCSS Math Practice

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

 Question Common Core Standard # 1 8.G.5 2 8.G.5 3 8.G.5 4 8.G.8 5 8.G.7 6 8.G.7 7 8.G.9 8 8.G.9

Question 1: If a and b are parallel lines, what is the value of angle α in the figure below?

Question 2: In triangle ΔABC , point F is the point of intersection of the bisector of angle ∠ABC and the altitude AD of the triangle. The measure of ∠BCA is 48°, and the measure of ∠BAC is 78°. What is the measure of ∠AFE?

Question 3: What is the supplement of a 56° angle?

Question 4: The distance between the vertices A and G of the polygon ABCDEFGHI in the coordinate plane below is meters.

Question 5: The rectangle solid in the figure below has the length equal to 3cm, the width equal to 4cm and the height equal to 5cm. Which of the following is the closest to the length of the diagonal CE?

Question 6: The diagonal AC of rhombus ABCD is 24cm. If the area of the rhombus is 120cm2, side AB measures cm.

Question 7: A wine glass has a conical shape, and its dimensions are given below. What is the volume of glass necessary to manufacture the wine glass?

Question 8: A cylinder C1 and a cone C2 have the same base: a circle of radius r. What is the ratio between the height of the cone and the height of the cylinder if the volumes of the two geometrical shapes are equal?

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