446 questions asked across 4 exam years, newest first
At what angle is the arc length half the perimeter of the circle?
Answer: D
M and N are, respectively, the centres of two circles of radii 12 cm and 8 cm. QR is the common tangent to the circles. If MN = 16 cm, then what will be the length of QR?
Answer: D
Find the length of the longest diagonal (in cm) of a cuboidal box of dimensions 1.2 cm × 1.3 cm × 1.5 cm (correct to two decimal places).
Answer: D
A circular arc makes an angle of 15° at the centre. If the radius of the circular arc is 14 cm, what is the perimeter (correct up to two decimal places) of the sector so formed? (π = 3.14)
Answer: D
If a triangle has a perimeter of 52 units, then all its sides have length _______ units.
Answer: C
From a circle of radius 7 units, an arc length is cut by a chord of length 7 units. What is the arc length of the smaller portion (in units)?
Answer: D
A and B are centres of two circles with radii 2 cm and 1 cm respectively, where AB = 5 cm. C is the centre of another circle of radius r cm, which touches each of the above two circles externally. If ∠ ACB = 90°, then the value of r is:
Answer: A
One-quarter of a circular pizza of radius 21 cm was removed from the whole pizza. What is the perimeter (in cm) of the remaining pizza? (Use π = 22/7)
Answer: C
A chord of the larger among two concentric circles is of length 20 cm and it is tangent to the smaller circle. What is the area (in cm²) of the annular portion between the two circles?
Answer: B
ABC is an equilateral triangle. P, Q and R are the mid-points of sides AB, BC and CA, respectively. If the length of the side of the triangle ABC is 11 cm, then the area (in cm) of is:
Answer: B
A circle's center is connected to its 50 cm long chord by a perpendicular that is 21 cm long. Find the circle's radius.
Answer: D
What is the volume in cubic units of a cylinder with a height equal to the diameter and a radius is 4 units?
Answer: C
If the curved surface area of a cylinder is 880 cm², then the product of its height and radius is:
Answer: B
The perimeters of two similar triangles and are 26 cm and 39 cm, respectively. If AB = 24 cm, then RS is ______.
Answer: B
Two circles, centred at P and Q, intersect at two points C and D. AB is tangent to the two circles at A and B. If , then ______.
Answer: D
The area of a sector of a circle of radius 12 cm, formed by an arc of length 7 cm is:
Answer: A
The height of a cylinder is 20 cm. The lateral surface area is 1760 cm². Its volume is:
Answer: C
Two circles C1 and C2 touch each other externally. The radius of C1 = 16 cm and the radius of C2 = 8 cm. Find the length (in cm) of their common tangent.
Answer: B
Find the area of a sector with an arc length of 44 cm, which subtends a central angle of 30°.
Answer: D
In triangle ABC, the length of side BC is 2 cm less than twice the length of side AB. The length of side AC exceeds the length of side AB by 10 cm. The perimeter of the triangle is 40 cm. Determine the length (in cm) of the smallest side of the triangle.
Answer: D
A pair of straight lines from an external point F intersects a circle at A and B (FA < FB), and touches the circle at C. O is the centre of the circle. Given that ∠ACF = 50° and ∠AFC = 30°, find ∠AOB.
Answer: C
The circumference of the base of a conical tent of height 8 m is 32π m. Find its curved surface area.
Answer: D
A circular arc whose radius is 12 cm makes an angle of 30° at the centre. Find the perimeter (in cm) of the sector formed. (Use π = 3.14)
Answer: B
If the sectorial angle with radius 9.6 units is 75°, what is the length of the arc?
Answer: B
If the perimeter of an equilateral triangle is 36 units, then its area is (in square units):
Answer: B
