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Seventh Grade (Grade 7) Geometry and Measurement Questions

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Grade 7 Volume CCSS: 7.G.B.6
Find the volume of a cube where e = 5 cm.
  1. 125 cm2
  2. 100 cm3
  3. 125 cm3
  4. 12.5 cm2
Grade 7 Three Dimensional Shapes CCSS: 7.G.B.6
What is the total surface area of a rectangular prism that is 6 feet wide, 4 feet high, and 7 feet long?
  1. 168 square feet
  2. 188 square feet
  3. 98 square feet
Grade 7 Circles CCSS: 7.G.B.4
A plate has a radius of 4 inches. What is the area of the plate?
  1. 16π square inches
  2. 2π square inches
  3. 8π square inches
  4. 4π square inches
Grade 7 Angles CCSS: 7.G.B.5
The pair of angles shown sum to 90°.
25° Angle #165° Angle #1
What type of angle pair do they form?
  1. vertical angles
  2. adjacent angles
  3. supplementary angles
  4. complementary angles
Grade 7 Angles CCSS: 7.G.B.5
The pair of angles shown sum to 180°.
30° Angle #1150° Angle #2
What type of angle pair do they form?
  1. vertical angles
  2. adjacent angles
  3. supplementary angles
  4. complementary angles
Grade 7 Angles CCSS: 7.G.B.5
Which angles are supplementary to ∠4?
Vertical Angle #1
  1. ∠2 and ∠1
  2. ∠1 and ∠3
  3. ∠2 and ∠3
Grade 7 Three Dimensional Shapes CCSS: 7.G.B.6
A Christmas present is being wrapped before the holidays. The box is 13 inches wide, 9 inches tall, and 17 inches long. What is the surface area of the box?
  1. 982 square inches
  2. 442 square inches
  3. 676 square inches
  4. 748 square inches
Grade 7 Three Dimensional Shapes CCSS: 7.G.A.3
Which best describes the two-dimensional shape created by the cross-section shown on the square prism?
Cuboid - Cross Section 2 - Color
  1. square
  2. triangle
  3. rectangle
  4. trapezoid
Grade 7 Angles CCSS: 7.G.B.5
Based on the following information, including the fact that ∠ABC and ∠CBD are supplementary, which equation could be used to solve for x?

m∠DBC=x-10
m∠ABC=x+30
Supplementary Angle #2
  1. (x-10)-(x+30)=90
  2. (x-10)-(x+30)=180
  3. (x-10)+(x+30)=90
  4. (x-10)+(x+30)=180
Grade 7 Area CCSS: 7.G.B.4
The area of the semicircle is 18π. The length of side AB = 8. Which statement about rectangle ABCD is true?
Composite Shapes 10
  1. Its area is 48.
  2. Its area is 144.
  3. Its perimeter is 40.
  4. Its perimeter is 96.
Grade 7 Area CCSS: 7.G.B.6
What is the area of a triangle with a base of 16 inches and a height of 12 inches?
  1. 96 square inches
  2. 48 square inches
  3. 36 square inches
  4. 86 square inches
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