Grade: Grade 7 Subject: Mathematics Unit: Geometry Lesson: 6 of 6 SAT: Geometry+Trigonometry ACT: Math

Unit Checkpoint

Demonstrate mastery of geometry concepts.

Checkpoint Questions

Question 1: Find the area of a circle with radius 7 cm. (pi = 3.14)

Answer

A = 3.14 x 7^2 = 3.14 x 49 = 153.86 cm^2

Question 2: Find the circumference of a circle with diameter 10 m. (pi = 3.14)

Answer

C = pi x d = 3.14 x 10 = 31.4 m

Question 3: Find the surface area of a cube with 5 cm edges.

Answer

SA = 6 x 5^2 = 6 x 25 = 150 cm^2

Question 4: Find the volume of a rectangular prism 8 x 5 x 3 cm.

Answer

V = 8 x 5 x 3 = 120 cm^3

Question 5: Find the volume of a cylinder with r = 4 and h = 7. (pi = 3.14)

Answer

V = 3.14 x 16 x 7 = 351.68 cubic units

Question 6: An L-shaped room has parts 8x6 and 4x3. Find total area.

Answer

8 x 6 = 48, 4 x 3 = 12. Total: 48 + 12 = 60 square units

Question 7: Find the area of a triangle with base 12 and height 9.

Answer

A = (1/2)(12)(9) = 54 square units

Question 8: A rectangular prism has surface area formula SA = 2lw + 2lh + 2wh. Find SA for l=6, w=4, h=3.

Answer

SA = 2(24) + 2(18) + 2(12) = 48 + 36 + 24 = 108 square units

Question 9: Volume is 200 cm^3, base area is 25 cm^2. Find height.

Answer

V = base area x height. 200 = 25 x h. h = 8 cm

Question 10: A shape is a 10x6 rectangle with a 4x4 square removed. Find remaining area.

Answer

Rectangle: 60. Square: 16. Remaining: 60 - 16 = 44 square units