Mensuration, Geometry and Trigonometry - One Line Questions
1.
What is the value of tan(60°)? —
√3
2.
What is the value of cot(30°)? —
√3
3.
What is the value of cot(90°)? —
0
4.
What is the value of sin(0°) + cos(90°)? —
0
5.
What is the value of sin²(θ) + cos²(θ)? —
1
6.
What is the value of sec(0°)? —
1
7.
If tan(A) = 3/4 and tan(B) = 1/7, what is tan(A+B)? —
1
8.
What is the value of (sin(30°) + cos(60°)) / tan(45°)? —
1
9.
What is the value of sin(30°) * cos(60°)? —
1/4
10.
The perimeter of a rectangle is 50 cm. If its length is 15 cm, what is its breadth? —
10 cm
11.
A right-angled triangle has angles 30°, 60°, and 90°. If the side opposite to 30° is 5 cm, what is the hypotenuse? —
10 cm
12.
The area of a trapezoid is 100 sq. cm. If its height is 10 cm and one parallel side is 8 cm, what is the other parallel side? —
12 cm
13.
A rectangle has an area of 96 sq. cm and a perimeter of 40 cm. What are its length and breadth? —
12 cm and 8 cm
14.
A rectangular garden is 15 meters long and 8 meters wide. What is its area? —
120 sq. m
15.
What is the volume of a cube with a side length of 5 cm? —
125 cubic cm
16.
In a triangle ABC, angle B = 90°. If AB = 5 cm and BC = 12 cm, what is AC? —
13 cm
17.
The length and breadth of a rectangle are 12 cm and 5 cm respectively. What is the length of its diagonal? —
13 cm
18.
The radius of a hemisphere is 6 cm. What is its volume? —
144π cubic cm
19.
A regular hexagon has a side length of 10 cm. What is its area? —
150√3 sq. cm
20.
A cylinder has a radius of 5 cm and a height of 10 cm. What is its total surface area? —
150π sq. cm
21.
The diameter of a circle is 14 cm. What is its area? —
154 sq. cm
22.
A circle is inscribed in a square of side 14 cm. What is the area of the circle? —
154 sq. cm
23.
A sector of a circle has a radius of 7 cm and an angle of 60°. What is its area? —
154/6 sq. cm
24.
A square park has a diagonal of 40 meters. What is its area? —
800 sq. m
25.
What is the value of sin(90°) + cos(0°)? —
2
26.
What is the value of sec(60°)? —
2
27.
What is the value of cosec(30°)? —
2
28.
What is the volume of a cylinder with radius 2 cm and height 7 cm? —
28π cubic cm
29.
What is the value of (tan(45°) + sin(30°)) / cos(60°)? —
3
30.
If sin(θ) = 1/2, what is the value of θ in degrees? —
30°
31.
If tan(θ) = 1/√3, what is the value of θ in degrees? —
30°
32.
A triangle has base 10 cm and height 7 cm. What is its area? —
35 sq. cm
33.
The perimeter of a square is 24 cm. What is its area? —
36 sq. cm
34.
The sum of the angles in a quadrilateral is: —
360°
35.
A sphere has a radius of 3 cm. What is its surface area? —
36π sq. cm
36.
If the area of an equilateral triangle is 4√3 sq. cm, what is its side length? —
4 cm
37.
If sin(θ) = 3/5, what is cos(θ)? —
4/5
38.
If a right-angled triangle has an angle θ such that sin(θ) = 3/5, what is cos(θ)? —
4/5
39.
If tan(θ) = 1, what is the value of θ in degrees? —
45°
40.
If sin(θ) = cos(θ), what is the value of θ in degrees? —
45°
41.
A cone has a radius of 3 cm and a height of 4 cm. What is its slant height? —
5 cm
42.
What is the sum of the interior angles of a pentagon? —
540°
43.
A triangle has sides of length 3 cm, 4 cm, and 5 cm. What is its area? —
12 sq. cm
44.
The perimeter of an equilateral triangle is 36 cm. What is its height? —
6√3 cm
45.
A rhombus has diagonals of length 12 cm and 10 cm. What is its area? —
60 sq. cm
46.
If cos(θ) = 1/2, what is the value of θ in degrees? —
60°
47.
If tan(θ) = √3, what is the value of θ in degrees? —
60°
48.
What is the lateral surface area of a cube with side length 4 cm? —
64 sq. cm
49.
The circumference of a circle is 44 cm. What is its radius? —
7 cm
50.
The base and height of a parallelogram are 10 cm and 8 cm respectively. What is its area? —
80 sq. cm