G7 Mensuration - Math and Science Olympiad trainer and online tutoring

G7 Mensuration

Math quiz helps us to enhance brains neural network.

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1) Find the area of the figure given below.

A) 462 m²

B) 469 m²

C) 492 m²

D) 499 m²

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2) Find the area of the below irregular shape with square at the center and 4 semicircles attached to the square on 4 sides?

A) 2400 cm²

B) 2016 cm²

C) 1984 cm²

D) 2184 cm²

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3) A cone is placed on top of a cylinder, both having the same base radius of 5 cm.

If the height of the cylinder is 10 cm and the height of the cone is 4 cm, what is the total volume of the solid? (Use π = 3.14)

A) 889.67 cm³

B) 786 cm³

C) 884.33 cm³

D) 787 cm³

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4) What is the area of a semicircle whose perimeter is 108 cm?
(Take )

A) 933 cm²

B) 487 cm²

C) 693 cm²

D) 666 cm²

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5) Find the area of irregular shape below?

A) 49.14 cm²

B) 53.57 cm²

C) 57 cm²

D) 55.14 cm²

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6) A trapezoid has parallel sides b1 = 14 cm, b2 = 6 cm and height h= 5 cm.

Find the area?

A) 50 cm²

B) 45 cm²

C) 40 cm²

D) 60 cm²

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7) The entire floor of the given shape is to be carpeted.

The cost of carpeting is ₹250 per m².

Find the total cost of carpeting the whole figure.

A) ₹ 8,400

B) ₹ 6,400

C) ₹ 7,200

D) ₹ 9,000

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8) A square and a rectangle have equal perimeters.

If the side of the square is 20 cm and the rectangle’s length is 25 cm, what is the breadth of the rectangle?

A) 20 cm

B) 25 cm

C) 10 cm

D) 15 cm

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9) Find the area of irregular shape below:

A) 27 m²

B) 36 m²

C) 40 m²

D) 20 m²

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10) Find area of irregular shape below in unit square?

Each box has 1 unit square area.

A) 36 Square Units

B) 34 Square Units

C) 30 Square Units

D) 32 Square Units

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11) A cylindrical hole of radius 3 cm is drilled through a cube of side 10 cm.

What is the volume of the remaining solid? (Use π = 3.14)

A) 720.6 cm³

B) 716 cm³

C) 726.4 cm³

D) 717.4 cm³

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12) The entire floor is to be covered with tiles at a uniform rate of ₹25 per cm² for below L shaped floor.

Find the total cost of tiling the L-shaped floor.

A) ₹ 1,275

B) ₹ 1,625

C) ₹ 1,425

D) ₹ 1,575

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13) Find the area of shape below?

A) 57 cm²

B) 48 cm²

C) 51 cm²

D) 63 cm²

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14) Two similar squarer gardens have their corresponding sides in the ratio 4 : 7.

The area of the larger garden is 784 m².

Find the area of the smaller garden.

A) 256 m²

B) 441 m²

C) 289 m²

D) 324 m²

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15) Find the perimeter of the unshaded portion. (Do not include shaded part)

A) 168/7 cm

B) 212/7 cm

C) 224/7 cm

D) 192/7 cm

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16) A rectangular field is 50 m long and 20 m wide.

A path 2 m wide runs around the field.

What is the area of the path?

A) 296 m²

B) 172 m²

C) 316 m²

D) 264 m²

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17) What is the area of a semicircle whose perimeter is 72 cm?
(Take )

A) 462 cm²

B) 616 cm²

C) 308 cm²

D) 154 cm²

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18) A circular running track is in the shape of a ring.

Two runners start at the same point and run one complete round:

Runner A runs along the inner boundary.
Runner B runs along the outer boundary.

(Take )

How much more distance does Runner B cover than Runner A?

A) 44 cm

B) 11 cm

C) 22 cm

D) 33 cm

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19) Find the area of the shaded region:

A) 0.27 m²

B) 0.20 m²

C) 0.18 m²

D) 0.23 m²

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20) The given figure is formed by two identical semicircles in a rectangle.

Find the area of shaded parts.
(Take π = 3. 14)

A) 6.12 cm²

B) 6.74 cm²

C) 7.12 cm²

D) 7.74 cm²

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