Q 1 – . If the sum of the areas of two circles with radii R1 and R.2 is equal to the area of a circle of radius R, then:
(A) R1 + R2 = R
(B) (R1)2 + (R2)2 = R2
(C) R1 + R2 < R
(D) (R2)1+ = R2 = R
Q 2 – If the sum of the circumferences of two circles with radii R1 and R2 is equal to the circumference of a circle of radius R, then:
(A) R1 + R2 = R
(B) RI + R2 > R
(C) R1 + R2 C R
(D) Nothing definite can be said about the relation among R1, R2 and R
Q 3 – If the Circumference of a Circle and the perimeter of a square are equal, then:
(A) Area of the Circle =Area if the Square
(B) Area of the Circle >Area if the Square
(C) Area of the Circle < Area if the Square
(D)Nothing definite can be said about the relation between the areas of the circle and square.
Q 4 – Area of the largest triangle that can be inscribed in a Semi – Circle of radius r units is:
(A) r2 sq. units
(B) 
r2 sq. units
(C) 2r2 sq. units
(D) √2 r2 sq. units
Q 5 – If the perimeter of a circle is equal to that of a square, then the ratio of their areas is:
(A) 22:7
(B) 14:11
(C) 7:22
(D) 11:14
Q 6 – It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 in in a locality. The radius of the new park would be:
(A) 10m
(B) 15 m
(C) 20 m
(D) 24 m
Q 7 – The area of the circle that can be inscribed in a square of side 6 cm is
(A) 36π cm2
(B) 18π cm2
(C) 12π cm2
(D) 9π cm2
Q 8 – The area of the square that can be inscribed in a circle of radius 8 cm is:
(A) 256 cm2
(A) 128 cm2
(A)√2 64 cm2
(A) 64 cm2
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of
Reason (R). Mark the correct choice as.
(A) Both A and R are true and R is the correct explanation of A
(B) Both A and R are true but R is NOT the correct explanation of A
(C) A is true but R is false
(D) A is false and R is True
Q 9 – Assertion (A): The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 crn and 7 cm is 50 cm.
Reason (R): If the perimeter and the area of a circle are numerically equal, then the radius of the circle is 2 unit
Q 10 – Assertion (A): In covering a distance s meter a Circular Wheel of radius r meter makes revolution.
Reason (R): The distance travelled by a circular wheel of diameter d cm in one revolution is 2 d cm.
Q 11 – Assertion (A): If circumferences of two circles are equal, then their areas will be equal.
Reason (R): If the areas of two circles are equal, then their circumferences are equal.
Attempt any four sub-parts from each question.
Each sub-part carries 1 mark
Read the following text and answer the following question on the basis of the Same:
A horse is tied to a peg at one corner of a square shaped grass field of sides 15 m by means of a 5 m long rope (see the given figure).
Q 12 – What is the area of the grass field?
(A) 225m2
(B) 225m
(C) 255m2
(D) 15m
Q 13 – The area of that part of the field in which the horse can graze.
(A) 19.625 m2
(B) 19.265 m2
(C) 19 m2
(D) 78.5 m2
Q 14 – The grazing area if the rope were 10 m long instead of 5 m.
(A) 7.85m2
(B) 785m2
(C) 225m2
(D) 78.5m2
Q 15 – The increase in the grazing area if the rope were 10 in long instead of 5 in
(A) 58.758 m2
(B) 58.875 m2
(C) 58 m2
(D) 78.5 m2
Q 16 – The Given Problem is Based on Which Concept ?
(A) Coordinate geometry
(B) Area related to Circles
(C) Circle
(D) None of these
Read the following text and answer the following question on the basis of the same:
In a workshop, brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire also used in making 5 diameters which divide the circle into 10 equal sectors as shown in the given figure
Q 17 – What is the radius of the Circle.?
(A) 
mm
(B) 
mm
(C) 35 mm
(D) 10 mm
Q 18 – What is the Circum ference of the brooch ?
(A) 100 mm
(B) 110 mm
(C) 50 mm
(D) 10 mm
Q 19 – What is the total length of silver wire required?
(A) 528 mm
(B) 825 mm
(C) 285 mm
(D) 852 mm
Q 20 – The given problem is based on which mathematical concept?
(A) Areas Related to circles
(B) Circles
(C) Construction
(D) none of these
Read the following text and answer the following question on the basis of the same:
Pookalam is the flower bed or flower pattern designed during Onam in Kerala. It is similar as Rangoli in North India and Kolam in Tamil Nadu. During the festival of Onam, your school is planning to conduct a Pookalam competition. Your friend who is a partner in competition , suggests two Designs given below.
Observe these carefully
Design I: This design is made with a circle of radius 32 cm leaving equilateral triangle ABC in the middle as shown in the given figure
Design 2: This Pookalam is made with 9 circular design each ot radius 7 cm.
Refer Design I:
Q 21 – The side of equilateral triangle is
(A) 12√3 cm
(B) 32 √3 cm
(C) 48 cm
(D) 64 cm
Q 22 – The altitude of the equilateral triangle is
(A) 8 cm
(B) 12 cm
(C) 48 cm
(D) 52 cm
Refer Design II:
Q 23 – The area of square is
(A) 1264 cm2
(B) 1764 cm2
(C) 1830 CM2
(D) 1944 cm2
Q 24 – Area of each circular design is
(A) 124 cm2
(B) 132 cm2
(C) 144 cm2
(D) 154 cm2
Q 25 – Area of the remaining portion of the square ABCD is
(A) 378 cm2
(B) 260 cm2
(C) 340 cm2
(D) 278 cm 2
Read the following text and answer the following question on the basis of the same:
A Brooch
A brooch is a small piece of jewellery which hasa pin at the back so it can be fastened on a dress, blouse or coat.
Designs of some brooch are shown below. Observe them carefully
Design A: Brooch A is made with silver wire in theform of a circle with diameter 28 mm. The wire usedfor making 4 diameters which divide the circle into8 equal parts.
Design B: Brooch b is made two colours i.e. Gold and silver. Outer part is made with G6ld. `The circumference of silver part is 44 mm and the gold part is 3 mm wide everywhere.
Refer to Design A
Q 26 – The total length of silver wire required is
(A} 180 mm
(B) 200 mm
(C) 250 mm
(D) 280 mm
Q 27 – The area Of each sector of the brooch is
(A) 44 mm2
(B) 52 mm2
(C) 77mm2`
(D) 68mm2
Refer to Design B
Q 28 – The circumference of outer part (golden) is
(A) 48.49 mm
(B) 82.2 mm
(C) 72.50 mm
(D) 62.86 mm
Q 29 – The difference of areas of golden and silver parts is
(A) 18π
(B) 44π
(C) 51π
(D) 64π
Q 30 – A boy is playing with brooch B. He makes revolution with it along its edge. How many complete revolutions must it take to cover 80 mm ?
(A) 2
(B) 3
(C) 4
(D) 5