1

The area of a rectangle is 200. The ratio of the base to the height is 2:4. Find the base, the height, and the diagonal of the rectangle.

A) b = 10, h = 20 d = \$10\sqrt5\$

B) b = 10, h = 12 d = \$10\sqrt5\$

C) b = 2, h = 20 d = \$10\sqrt5\$

D) b = 10, h = 20 d = \$10\sqrt10\$

2

What is the positive difference in area between a parallelogram with a height of 12 and a base length of 15 and a triangle with a height of 8 and a base length of 10?

A) 140 units

B) 120 sq.units

C) 160 sq.units

D) 140 sq.units

3

Find the surface area of a triangular-based pyramid.

A) 605.26 sq.cm

B) 772.4 sq.cm

C) 850 sq.cm

D) 950 sq.cm

4

Find the total surface area of a cone with a slant height of 15 cm and a base radius of 10 cm.

A) \$785 cm^3\$

B) \$758 cm^2\$

C) \$785 cm^2\$

D) \$784 cm^2\$

5

Calculate the total surface area of the triangular pyramid. The base triangle has 12 sides, a height of 15 units, and a slant height of 18 units.

A) 414 units

B) 400 sq.cm

C) 144 sq.cm

D) 414 sq.units

6

Find the volume of a frustum.

A) \$42.78cm^3\$

B) \$4.78cm^3\$

C) \$40.78cm^3\$

D) \$78.4cm^3\$

7

A circle has a circumference of 2π and it is used as the base of a cylinder. The cylinder has a surface area of 20π. Find the volume of the cylinder.

A) 9π

B) 12π

C) 6π

D) 18π

8

In the figure, line q is parallel to line r, and both lines are intersected by line s. If y = 2x - 8, what is the value of x ?

A) 52

B) 62

C) 68

D) 64

9

Quadrilateral P’Q’R’S' is similar to quadrilateral PQRS, where P, Q R, S, and correspond to P', Q', R', and S', respectively. The measure of angle P is 30°, the measure of angle Q is 50°, and the measure of angle R is 70°. The length of each side of P', Q', R', and S' is 3 times the length of each corresponding side of PQRS. What is the measure of angle Q'?

A) 70°

B) 60°

C) 50°

D) 100°

10

In the figure, the ratio of the shaded area to the non-shaded area is 4 to 5. What is the value of x, in degrees?

A) 200°

B) 240°

C) 300°

D) 100°