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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Geometry

Grade: Top-SAT3 Lesson: S3-P2

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id	Problem	Options
1	The area A of a rectangle is given by the function A(x)=x(-10+x), where x is the width of the rectangle. Find the maximum area of the rectangle.	A) 20 B) 10 C) 5 D) 25
2	ABDC is a trapezium with AB // CD. P and Q are the midpoints of AC and BD, respectively. If AB = 7 cm and CD = 9 cm, Find the ratio of the area of ABQP to the area of PQDC.	A) 14 : 17 B) 15 : 17 C) 18 : 17 D) 15 : 16
3	A right-angled triangle ABC with sides of 5 cm, 12 cm, and 13 cm is revolved around the fixed side of 12 cm. find the shape of the solid generated along with the total surface area of the same?	A) \$272.6 cm^2\$ B) \$284.6 cm^2\$ C) \$282.6 cm^2\$ D) \$228.6 cm^2\$
4	Above is a square pyramid where all lateral faces have the same slant height. The parameter is 24m. Calculate the total surface area of the square pyramid. $4$	A) \$66m^2\$ B) \$16m^2\$ C) \$60m^2\$ D) \$6m^2\$
5	Find the height of the regular pentagonal prism is \$520 in^3\$. $5$	A) 18.25 in B) 16.25 in C) 25.16 in D) 14.25 in
6	A rectangular pyramid has a volume of 480 cubic meters. If the base dimensions are 10 meters by 8 meters and the height is 18 meters, what is the slant height of the pyramid?	A) \$\sqrt 365\$ meters B) \$\sqrt 365\$ sq.meters C) \$\sqrt 265\$ meters D) \$\sqrt 165\$ meters
7	In the given fig, ABIICD, AFIIED, AFC = 64° and FED = 54°. Find ∠EFD. $7$	A) 66° B) 68° C) 64° D) 62°
8	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 S'?	A) 220° B) 120° C) 210° D) 240°
9	In the figure above, m // n and \$\barCD\$ bisects \$\angle BCE\$. Calculate the value of x. $9$	A) 20° B) 30° C) 60° D) 40°
10	In the diagram above, not drawn to scale, A, B, and C are points on a circle, center O. TA is a tangent to the circle at A, and OBT is a straight line. Calculate angles A, B, and C. $10$	A) A = 44°, B = 90°, & C = 36° B) A = 54°, B = 90°, & C = 26° C) A = 54°, B = 90°, & C = 90° D) A = 54°, B = 90°, & C = 36°

Problem Id

Problem

Options

The area A of a rectangle is given by the function A(x)=x(-10+x), where x is the width of the rectangle. Find the maximum area of the rectangle.

A) 20

B) 10

C) 5

D) 25

ABDC is a trapezium with AB // CD. P and Q are the midpoints of AC and BD, respectively. If AB = 7 cm and CD = 9 cm, Find the ratio of the area of ABQP to the area of PQDC.

A) 14 : 17

B) 15 : 17

C) 18 : 17

D) 15 : 16

A right-angled triangle ABC with sides of 5 cm, 12 cm, and 13 cm is revolved around the fixed side of 12 cm. find the shape of the solid generated along with the total surface area of the same?

A) \$272.6 cm^2\$

B) \$284.6 cm^2\$

C) \$282.6 cm^2\$

D) \$228.6 cm^2\$

Above is a square pyramid where all lateral faces have the same slant height. The parameter is 24m. Calculate the total surface area of the square pyramid.

$4$

A) \$66m^2\$

B) \$16m^2\$

C) \$60m^2\$

D) \$6m^2\$

Find the height of the regular pentagonal prism is \$520 in^3\$.

$5$

A) 18.25 in

B) 16.25 in

C) 25.16 in

D) 14.25 in

A rectangular pyramid has a volume of 480 cubic meters. If the base dimensions are 10 meters by 8 meters and the height is 18 meters, what is the slant height of the pyramid?

A) \$\sqrt 365\$ meters

B) \$\sqrt 365\$ sq.meters

C) \$\sqrt 265\$ meters

D) \$\sqrt 165\$ meters

In the given fig, ABIICD, AFIIED, AFC = 64° and FED = 54°. Find ∠EFD.

$7$

A) 66°

B) 68°

C) 64°

D) 62°

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 S'?

A) 220°

B) 120°

C) 210°

D) 240°

In the figure above, m // n and \$\barCD\$ bisects \$\angle BCE\$. Calculate the value of x.

$9$

A) 20°

B) 30°

C) 60°

D) 40°

In the diagram above, not drawn to scale, A, B, and C are points on a circle, center O. TA is a tangent to the circle at A, and OBT is a straight line. Calculate angles A, B, and C.

$10$

A) A = 44°, B = 90°, &
C = 36°

B) A = 54°, B = 90°, &
C = 26°

C) A = 54°, B = 90°, &
C = 90°

D) A = 54°, B = 90°, &
C = 36°