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Home › Grade7 › Grade 7 Olympiad › Math Olympiad-Grade-7 › Geometry & Mensuration › Geometry and Mensuration Worksheet-11

Geometry and Mensuration Worksheet-11

Geometry and Mensuration Worksheet-11

 

  1. A wire bent in the form of a circle of radius 42 cm is cut and again bent in the form of a square. The ratio of the regions enclosed by the circle and the square in the two cases is given by

(a) 11 : 12           (b) 21 : 33           (c) 22 : 33         (d) 14 : 11

 

  1. The radius of a circle is 20 cm. Three more concentric circles are drawn inside it in such a manner that it is divided into four parts of equal area. The radius of cone of the three concentric circles is

(a)        (b)        (c)      (d)

 

  1. A sector of 120º cut out from a circle has an area of sq.cm. The radius of the circle is

(a) 3 cm             (b) 2.5 cm          (c) 3.5 cm          (d) 3.6 cm

 

  1. Find the area of the parallelogram whose base is 17 cm and height 0.8 m?

(a) 13.6 cm2      (b)  1360 cm2    (c) 13.6 m2        (d) 1360 m2

 

  1. In the given figure ABCD is parallelogram. DL ⊥ AB and DM ⊥ BC. If AB = 18 cm, BC = 12 cm and DM = 10 cm. Find DL.

(a)          (b) 6 cm             (c)            (d) None

 

  1. In the following figure, ABCD is a parallelogram. DL ⊥ AB and AB = 13 cm = AD. If the area of parallelogram is 156 cm2. Find AL.

(a) 5 cm             (b) 6 cm             (c) 7 cm              (d) 8 cm

 

  1. The difference between the length and breadth of a rectangle is 23 m. If the perimeter is 206 m, then the area is

(a) 1520 m2       (b) 2520 m2      (c) 2420 m2      (d) None

 

  1. The length and breadth of a rectangular hall are 0.4 m and 30 cm respectively. The distance between two opposite corners of the hall is

(a) 34.16 m       (b) 50 cm           (c) 34.16 cm      (d) 50 cm

 

  1. The sided of a rhombus is 26 m and length of one of its diagonal is 20 m. The area of the rhombus is

(a) 120 m2         (b) 240 m2        (c) 480 m2         (d) None

 

  1. The length of the sides of a Δle are  5 m, 12 m and 13  m. Find its area.

(a) 24 m2           (b) 30 m2          (c) 48 m2           (d) None

 

  1. The longer side of a parallelogram is 81 cm and the corresponding altitude is 16 cm. If the length of shorter side is 24 cm, then the altitude corresponding to shorter side is

(a) 36 cm           (b) 48 cm          (c) 54 cm           (d) 24 cm

 

  1. One side of a parallelogram is 2.4 dam and its area is 576 m2. Find corresponding altitude.

(a) 24 m             (b) 24 cm           (c) 24 dm           (d) 24 dam

 

  1. A field is in the form of a parallelogram whose base is 420 m and altitude is 3.6 dam. Find the cost of watering at 10 paise per sq. m.

(a) Rs. 15,120    (b) Rs. 1512       (c) Rs. 151.20    (d) None

 

  1. Find the altitude of a Δle whose base is 24 cm and area is 672 cm2

(a) 48 cm           (b) 56 cm           (c) 56 m             (d) None

 

  1. The area of a triangular field is 1.5 hectares. If the altitude is 300 m, find the corresponding base.

(a) 100 cm         (b) 10 m             (c) 100 m           (d) None

 

Answer Key:

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