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All questions of Mensuration for JAMB Exam
The length of a rectangle is twice its width. If the perimeter of the rectangle is 36 cm, what is the area of the rectangle?- a)54 cm²
- b)72 cm²
- c)36 cm²
- d)48 cm²
Correct answer is option 'C'. Can you explain this answer?
The length of a rectangle is twice its width. If the perimeter of the rectangle is 36 cm, what is the area of the rectangle?
a)
54 cm²
b)
72 cm²
c)
36 cm²
d)
48 cm²
|
Sun Ray Institute answered |
Let the width be x cm. Then the length is 2x cm. Perimeter = 2(x + 2x) = 36 cm. Solving for x, we get x = 6 cm. Hence, the area of the rectangle is 6 * (2 * 6) = 36 cm².
The distance between two points on the Earth's surface is 1000 km, and the difference in their longitudes is 15°. What is the radius of the Earth?- a)4000 km
- b)3840 km
- c)6400 km
- d)4280 km
Correct answer is option 'C'. Can you explain this answer?
The distance between two points on the Earth's surface is 1000 km, and the difference in their longitudes is 15°. What is the radius of the Earth?
a)
4000 km
b)
3840 km
c)
6400 km
d)
4280 km
|
|
Sun Ray Institute answered |
If the difference in longitudes is 15°, the angle subtended at the center is also 15°. Using the formula distance = r * θ, we get 1000 = r * (15 * π / 180). Solving for r, we get r = 6400 km.
A sector of a circle with a radius of 12 cm has an angle of 120°. What is the perimeter of the sector?- a)22 cm
- b)34 cm
- c)45 cm
- d)56 cm
Correct answer is option 'D'. Can you explain this answer?
A sector of a circle with a radius of 12 cm has an angle of 120°. What is the perimeter of the sector?
a)
22 cm
b)
34 cm
c)
45 cm
d)
56 cm
|
|
Sun Ray Institute answered |
Perimeter of the sector = radius + radius + arc length = 12 + 12 + (120/360) * 2 * π * 12 = 56 cm.
A sphere has a volume of 288π cm³. What is its radius?- a)4 cm
- b)6 cm
- c)8 cm
- d)12 cm
Correct answer is option 'B'. Can you explain this answer?
A sphere has a volume of 288π cm³. What is its radius?
a)
4 cm
b)
6 cm
c)
8 cm
d)
12 cm
|
|
Sun Ray Institute answered |
The volume of a sphere is given by (4/3) × πr³, where r is the radius. Solving the equation (4/3) × πr³ = 288π, we find r = 6 cm.
A chord of length 16 cm is at a distance of 6 cm from the center of a circle. What is the radius of the circle?- a)7 cm
- b)10 cm
- c)8 cm
- d)12 cm
Correct answer is option 'B'. Can you explain this answer?
A chord of length 16 cm is at a distance of 6 cm from the center of a circle. What is the radius of the circle?
a)
7 cm
b)
10 cm
c)
8 cm
d)
12 cm
|
|
Sun Ray Institute answered |
Using the Pythagorean theorem, r² = (chord length/2)² + distance². So, r² = (16/2)² + 6². Solving for r, we get r = 10 cm.
The area of a trapezoid is 105 cm². If the height is 7 cm and one of the parallel sides is 10 cm, what is the length of the other parallel side?- a)20 cm
- b)15 cm
- c)25 cm
- d)30 cm
Correct answer is option 'A'. Can you explain this answer?
The area of a trapezoid is 105 cm². If the height is 7 cm and one of the parallel sides is 10 cm, what is the length of the other parallel side?
a)
20 cm
b)
15 cm
c)
25 cm
d)
30 cm
|
|
Sun Ray Institute answered |
Area of the trapezoid = (1/2) * height * (sum of parallel sides) = (1/2) * 7 * (10 + x) = 105 cm². Solving for x, we get x = 20 cm.
The length of a rectangular field is 40 m more than its width. If the area of the field is 2400 m², what is its length?- a)60 m
- b)50 m
- c)70 m
- d)80 m
Correct answer is option 'C'. Can you explain this answer?
The length of a rectangular field is 40 m more than its width. If the area of the field is 2400 m², what is its length?
a)
60 m
b)
50 m
c)
70 m
d)
80 m
|
|
Sun Ray Institute answered |
Let the width of the field be x m. The length is then x + 40 m. The area is given by length × width = (x + 40) m × x m = 2400 m². Solving for x, we get x = 30 m. Therefore, the length is x + 40 = 30 m + 40 m = 70 m.
The perimeter of a sector of a circle is 20 cm, and the radius is 5 cm. What is the area of the sector?- a)10π cm²
- b)25π cm²
- c)20π cm²
- d)50π cm²
Correct answer is option 'B'. Can you explain this answer?
The perimeter of a sector of a circle is 20 cm, and the radius is 5 cm. What is the area of the sector?
a)
10π cm²
b)
25π cm²
c)
20π cm²
d)
50π cm²
|
|
Sun Ray Institute answered |
The area of a sector is given by (θ/360) × πr², where θ is the angle in degrees and r is the radius of the circle. Substituting the values, we get (20/360) × π × 5² = 25π cm².
The Earth's circumference along the equator is approximately 40,075 km. What is the distance covered if a person travels 30 degrees along a latitude?- a)4,008 km
- b)7,038 km
- c)11,336 km
- d)12,042 km
Correct answer is option 'A'. Can you explain this answer?
The Earth's circumference along the equator is approximately 40,075 km. What is the distance covered if a person travels 30 degrees along a latitude?
a)
4,008 km
b)
7,038 km
c)
11,336 km
d)
12,042 km
|
|
Sun Ray Institute answered |
The distance covered along a latitude is given by (θ/360) × circumference of the Earth, where θ is the angle in degrees and the circumference of the Earth is approximately 40,075 km. Substituting the values, we get (30/360) × 40,075 km = 4,008 km.
A cone has a slant height of 10 cm and a radius of 6 cm. What is its volume?- a)120π cm³
- b)180π cm³
- c)240π cm³
- d)360π cm³
Correct answer is option 'A'. Can you explain this answer?
A cone has a slant height of 10 cm and a radius of 6 cm. What is its volume?
a)
120π cm³
b)
180π cm³
c)
240π cm³
d)
360π cm³
|
|
Sun Ray Institute answered |
The volume of a cone is given by (1/3) × πr²h, where r is the radius of the base and h is the height. The height can be found using the Pythagorean theorem: h² = slant height² - radius² = 10² - 6² = 64. Therefore, h = √64 = 8 cm. Substituting the values, we get (1/3) × π × 6² × 8 = 120π cm³.
The length of a rectangle is three times its width, and its perimeter is 64 cm. What is its area?- a)96 cm²
- b)144 cm²
- c)192 cm²
- d)288 cm²
Correct answer is option 'C'. Can you explain this answer?
The length of a rectangle is three times its width, and its perimeter is 64 cm. What is its area?
a)
96 cm²
b)
144 cm²
c)
192 cm²
d)
288 cm²
|
|
Sun Ray Institute answered |
Let the width of the rectangle be x cm. The length is then 3x cm. The perimeter is given by 2(x + 3x) = 64 cm. Solving for x, we get x = 8 cm. Therefore, the length is 3(8) = 24 cm. The area is given by length × width = 24 cm × 8 cm = 192 cm².
The circumference of a circle is 36π cm. What is its radius?- a)12 cm
- b)6 cm
- c)18 cm
- d)9 cm
Correct answer is option 'B'. Can you explain this answer?
The circumference of a circle is 36π cm. What is its radius?
a)
12 cm
b)
6 cm
c)
18 cm
d)
9 cm
|
|
Sun Ray Institute answered |
The circumference of a circle is given by 2πr, where r is the radius. Solving the equation 2πr = 36π, we find r = 6 cm.
A cylinder with a radius of 7 cm and a height of 14 cm is surmounted by a hemisphere of the same radius. What is the total surface area of the solid figure?- a)924 cm²
- b)1022 cm²
- c)1156 cm²
- d)1232 cm²
Correct answer is option 'C'. Can you explain this answer?
A cylinder with a radius of 7 cm and a height of 14 cm is surmounted by a hemisphere of the same radius. What is the total surface area of the solid figure?
a)
924 cm²
b)
1022 cm²
c)
1156 cm²
d)
1232 cm²
|
|
Sun Ray Institute answered |
Surface area of the cylinder = 2 * π * r * h = 2 * π * 7 * 14 = 616 cm². Surface area of the hemisphere = 2 * π * r² = 2 * π * 7² = 308 cm². Total surface area = 616 + 308 = 1156 cm².
The circumference of a circle is 44 cm. What is the length of an arc that subtends an angle of 60° at the center?- a)6 cm
- b)8 cm
- c)10 cm
- d)12 cm
Correct answer is option 'A'. Can you explain this answer?
The circumference of a circle is 44 cm. What is the length of an arc that subtends an angle of 60° at the center?
a)
6 cm
b)
8 cm
c)
10 cm
d)
12 cm
|
|
Sun Ray Institute answered |
Circumference = 2πr. So, 44 = 2 * π * r. Solving for r, we get r = 7 cm. Length of the arc = (60/360) * 2 * π * 7 = 6 cm.
The difference in latitudes of two points on the Earth's surface is 30°. If the distance between the two points is 1800 km, what is the radius of the Earth?- a)3600 km
- b)4200 km
- c)4800 km
- d)5400 km
Correct answer is option 'A'. Can you explain this answer?
The difference in latitudes of two points on the Earth's surface is 30°. If the distance between the two points is 1800 km, what is the radius of the Earth?
a)
3600 km
b)
4200 km
c)
4800 km
d)
5400 km
|
|
Sun Ray Institute answered |
If the difference in latitudes is 30°, the angle subtended at the center is also 30°. Using the formula distance = r * θ, we get 1800 = r * (30 * π / 180). Solving for r, we get r = 3600 km.
The perimeter of a rectangle is 30 cm, and its length is twice its width. What is the area of the rectangle?- a)45 cm²
- b)90 cm²
- c)50 cm²
- d)120 cm²
Correct answer is option 'C'. Can you explain this answer?
The perimeter of a rectangle is 30 cm, and its length is twice its width. What is the area of the rectangle?
a)
45 cm²
b)
90 cm²
c)
50 cm²
d)
120 cm²
|
|
Sun Ray Institute answered |
Let the width of the rectangle be x cm. The length is then 2x cm. The perimeter is given by 2(x + 2x) = 30 cm. Solving for x, we get x = 5 cm. Therefore, the length is 2(5) = 10 cm. The area is given by length × width = 10 cm × 5 cm = 50 cm².
The surface area of a cube is 96 cm². What is the length of one of its edges?- a)4 cm
- b)6 cm
- c)8 cm
- d)12 cm
Correct answer is option 'A'. Can you explain this answer?
The surface area of a cube is 96 cm². What is the length of one of its edges?
a)
4 cm
b)
6 cm
c)
8 cm
d)
12 cm
|
|
Sun Ray Institute answered |
The surface area of a cube is given by 6s², where s is the length of one of its edges. Solving the equation 6s² = 96, we find s = 4 cm. Therefore, the length of one of its edges is 4 cm.
A sector of a circle with a radius of 10 cm has an area of 25π cm². What is the angle of the sector?- a)45°
- b)90°
- c)120°
- d)150°
Correct answer is option 'B'. Can you explain this answer?
A sector of a circle with a radius of 10 cm has an area of 25π cm². What is the angle of the sector?
a)
45°
b)
90°
c)
120°
d)
150°
|
|
Sun Ray Institute answered |
Area of the sector = (1/2) * r² * θ = (1/2) * 10² * (θ * π / 180) = 25π cm². Solving for θ, we get θ = 90°.
The total surface area of a cone with a radius of 5 cm and a slant height of 13 cm is:- a)100π cm²
- b)130π cm²
- c)160π cm²
- d)180π cm²
Correct answer is option 'C'. Can you explain this answer?
The total surface area of a cone with a radius of 5 cm and a slant height of 13 cm is:
a)
100π cm²
b)
130π cm²
c)
160π cm²
d)
180π cm²
|
|
Sun Ray Institute answered |
Total surface area of the cone = πr(l + r) = π * 5 * (13 + 5) = 160π cm².
The diameter of a circle is 12 cm. What is the length of an arc subtending an angle of 60 degrees at the center of the circle?- a)6π cm
- b)6 cm
- c)12π cm
- d)12 cm
Correct answer is option 'A'. Can you explain this answer?
The diameter of a circle is 12 cm. What is the length of an arc subtending an angle of 60 degrees at the center of the circle?
a)
6π cm
b)
6 cm
c)
12π cm
d)
12 cm
|
|
Sun Ray Institute answered |
The length of an arc is given by (θ/360) × 2πr, where θ is the angle in degrees and r is the radius of the circle. Substituting the values, we get (60/360) × 2π × 6 = 6π cm.
Chapter doubts & questions for Mensuration - Mathematics for JAMB 2025 is part of JAMB exam preparation. The chapters have been prepared according to the JAMB exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for JAMB 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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