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Home › Grade7 › Grade 7 Olympiad › Math Olympiad-Grade-7 › Geometry & Mensuration › Geometry and Mensuration Worksheet-10

Geometry and Mensuration Worksheet-10

Geometry and Mensuration Worksheet-10

 

  1. Which of the following statement(s) is/are false?

(a) Two Δles having same area are congruent

(b) If two sides and one angle of a Δle are equal to the corresponding two sides and the angle of another Δle, then the two Δles are congruent

(c) If the hypotenuse of one right triangle is equal to the hypotenuse of another triangle, then the triangles are congruent

(d) All of these

 

  1. Which of the following statement(s) is / are true?

(a) In an isosceles triangle, the angles opposite to equal sides are equal

(b) The bisector of the vertical angle of an isosceles triangle bisects the base at right angles.

(c) If the hypotenuse and an acute angle of one right triangle is equal to the hypotenuse and the corresponding acute angle of another triangle then the triangles are congruent

(d) All of these

 

  1. If A: If the hypotenuse and an acute angle of one right triangle is equal to the hypotenuse and corresponding acute angle of another right triangle, then those two Δles are congruent and

R: By RHS property, the two right Δles are congruent, then which of the following statement is true?

(a) A is true and R is the correct explanation of A

(b) A is false and R is the correct explanation of A

(c) A is false and R is false

(d) None of these

 

  1. The radius of a circle is 14 m, then the circumference of a circle is

(a) 616 m           (b) 88 m            (c) 154 m           (d) none

 

  1. The circumference of a circle is 44 m, then the area of the circle is

(a) 6084.5 m2   (b) 276.5 m2     (c) 154 m2         (d) 44 m2

 

  1. The area of a circle is 2464 m2,then the diameter is

(a) 56 m             (b) 154 m           (c) 176 m           (d) none

 

  1. A circular grass lawn of 35 m in radius has a path 7 m wide running around it on the outside. The area of the path is

(a) 1496 m2       (b) 1450 m2       (c) 1576 m2        (d) 1694 m2

 

  1. The difference between circumference and radius of a circle is 37 m. The circumference of that circle is

(a) 7 m               (b) 44 m             (c) 154 m           (d) None

 

  1. The area of the sector of a circle, whose radius is 6 m when the angle at the centre is 42º is

(a) 13.2 m2        (b) 14.2 m2        (c) 13.4 m2        (d) 14.4 m2

 

  1. If the radius of a circle is , then the area of the circle is

(a) 154 cm2        (b)         (c) 22 cm2         (d) 49 m2

 

  1. If the circumference of a circle is , then the diameter of the circle is

(a) 60 π              (b)                  (c)                 (d) 30

 

  1. How many plants will be there in a circular bed whose outer edge measures 30 cm allowing 4 cm2 for each plant?

(a) 18                  (b) 750               (c) 24                  (d) 120

 

  1. When the circumference and area of a circle are numerically equal, then the diameter is numerically equal to

(a) Area                                          (b) Circumference

(c) 2π                                              (d) 4

 

  1. If the ratio of areas of two circles is 16 : 25 the ratio of their circumference is

(a) 25 : 16          (b) 5 : 4              (c) 4 : 5               (d) 3 : 5

 

  1. If the ratio of circumference of two circles is 4 : 9, the ratio of their area is

(a) 9 : 4              (b) 16 : 81          (c) 4 : 9              (d) 2 : 3

 

  1. If the area of a circle is A, radius of the circle is r and circumference of it is C, then

(a) rC = 2A        (b)           (c)             (d)

 

  1. The area of a sector of a circle of radius 16 cm cut off by an arc which is 18.5 cm long is

(a) 168 cm2       (b) 148 cm2       (c) 154 cm2        (d) 176 cm2

 

  1. The area of a segment of a circle of radius 21 cm if the arc of the segment has a measure of 60º is (Take )

(a) 15.27 cm2    (b) 40.27 cm2   (c) 40.8 cm2      (d) none

 

  1. If the radii of two concentric circles are 15 cm and 13 cm respectively, then the area of the circulating ring in sq. cm will be

(a) 176                (b) 178               (c) 180                (d) 200

 

  1. The area of the largest triangle that can be inscribed in a semicircle whose radius is r cm is

(a) 2r cm2          (b) r2  cm2         (c) 2r2 cm2        (d)

 

Answer Key:

(1)-(d); (2)-(d); (3)-(a); (4)-(b); (5)-(c); (6)-(a); (7)-(d); (8)-(b); (9)-(a); (10)-(d); (11)-(c); (12)-(a); (13)-(d); (14)-(c); (15)-(b); (16)-(a); (17)-(b); (18)-(b); (19)-(a); (20)-(b)