Math Olympiad Questions with solutions : Mensuration Class 6
1.A wire is in the shape of a square of perimeter 64 cm. A rectangle is formed with this wire such that its length is 20 cm. Then, the area of the rectangle is_____ .
(A) 240 cm 2 (B) 880 cm2
(C) 256 cm2 (D) 350 cm2
2. If the area of a rectangle is equal to the area of a square and if one side (/) of the rectangle is equal to the perimeter of the square, then the other side (b) of rectangle is ___ .
(A) side + 2 (B) (side)2 + 2 (C) side + 4 (D) side 3
3.A circle is inscribed in a square as shown. If the radius of the circle is 4 cm, then the perimeter of the square is __________ .
(A) 28 cm (B) 24 cm (C) 32 cm (D) 36 cm
4. 80 students of the same height stand with both hands stretched all along the sides of a rectangular garden, each student covering a length of 1.75 m. Then the perimeter of the garden is _______
(A) 1400 m (B) 140 m (C) 14 m (D) 1400 km
5.Find the area of the unshaded part of the given figure.
(A) 45 sq. cm (B) 52 sq. cm (C) 68 sq. cm (D)78 sq. cm
6.If the area of the rectangle is 16 m2, then which dimensions may not be possible for rectangle ?
(A) Length = 8 m, breadth = 2 m (B) Length = 16 m, breadth = 1 m
(C) Length = 32 m, breadth =1/2 m (D) Length = 8.5 m, breadth = 2 m
7.A square and a rectangular plot of land have same perimeter. If the square is of side 40 m and rectangle is of length 5 decameter. Then area of rectangle is____ .
(A) 1500 m2 (B) 1600 m2 (C) 200 m2 (D) 150 m2
8.The area of the shaded region in the figure is ________
(A) 207 m2
(B) 158 m2
(C) 256 m2
(D) 60 m2
9..An athlete takes 5 rounds of a rectangular park, 50 m long and 250 dm wide. Then the total distance covered by him is_______ .
(A) 150 m (B) 75 m (C) 750 m (D) 300 m
10.What is the perimeter of the shaded area in the given figure ?
(A) 18 units (B)19 units (C) 16 units (D) 9 units
11.The length of a rectangle is (6/5)th of its breadth. if its perimeter is 132 m, its area will be_____. (A) 1080 m2 (B) 640 m2 (C) 1620 m2 (D)2160 m2
12.Perimeter of a triangle is the sum of the lengths of all the ____sides.
(A) 4 (B) 2 (C) 3 .(D) 6
13.All the figures given below consist of the four squares of equal size. Which figure has the smallest perimeter ?
14.If perimeter of a square is tripled, then area will be_____of original area.
(A) 4 times (B) 1/4 times (C) 9 times (D) 1/9 times
15.The number of envelopes that can be made out of a sheet of paper 384 cm by 172 cm if each envelope requires a piece of paper of size 16 cm by 12 cm, is_____.
(A) 340 (B) 344 (C) 338 (D) 342
16. The length and breadth of a rectangular field are 260 m and 130 m respectively, then its area (in hectares) is_____ .
(A) 338 (B) 33800 (C) 3.8 (D) 3.38
17.The area of a square is numerically equal to the perimeter of the square, then the side of square is __ .
(A) 2 units (B) 3 units (C) 4 units (D) 5 units
18. The number of paving stones, each measuring 10 dm by 9 dm required to pave a rectangular veranda 60 m by 6 m is _____.
(A) 360 (B) 400 (C) 350 (D) 300
19.In a square shaped park, whose side measures 28 m, a rectangular pond is located at the centre with dimensions 3 m and 2 m. The area of the park excluding the pond is_____.
(A) 784 sq. m (B) 750 sq. m (C) 778 sq. m (D) 708 sq. m
20.Perimeter of the figure (not drawn to scale) is___.
(A). 68.2 cm (B)1 cm 86.3 cm (C) 86.3 cm (D) 68.3 cm
21.A figure is formed by putting two squares one on the other as shown in the figure. If the length of each side of the two squares is 8 cm, then the perimeter of the figure formed is _____ .
(A) 56 cm (B) 64 cm (C) 32 cm (D) 48 cm
22. Each side of a square field measures 85 m. The distance covered by a man going around the field 5 times is__________ .
(A) 1600 m (B) 1800 m (C) 1500 m
23. Find the missing length of the given figure.
(A) 6 cm (B) 4 cm
(C) 2 cm (D) 5 cm
24. The length of a rectangular hall is 5 metres more than its breadth. If the breadth of the
hall is 25 metres, then area of the hall is______________ .
(A) 150 m2 (B) 225 m2
(C) 750 m2 (D) 850 m2
25.If the length of a rectangle is two times its breadth and area is 288 cm2, then length and breadth are respectively .
(A) 20 cm, 10 cm (B) 12 cm, 24 cm
(C) 24 cm, 12 cm (D) 16 cm, 18 cm
26.Find the area and perimeter respectively of a rectangular plot of land whose length and breadth are 15.4 m and 6.5 m respectively.
(A) 100.10 sq. m, 43.8 m
(B) 43.8 m, 100.10 sq. m
(C) 4.38 m, 100.10 sq. m
(D) 1001.10 sq. m, 4.38 m
27. The total cost of flooring a room at ^ 8.50 per sq. metre is ? 510. If the length of the room is 8 metres, find its breadth.
A) 7.4 m (B) 7.5 m (C) 8.5 m (D) 5.8 m
28.Parul walks twice around a square field of side 25 m. Nitish walks thrice around a rectangular field with length 20 m and breadth 14 m. Who covers more distance and by how much?
(A) Nitish, 4 m (B) Parul, 6 m (C) Nitish, 204 m (D) Parul, 8 m
29.A room is 12.5 m long and 8 m wide. Asquare carpet of side 8 m is laid on its floor. Find the area of the floor which is not carpeted ?
(A) 36 m (B) 36 sq. m (C) 63 m (D) 63 sq. m
30. Which of the following has the maximum shaded area ?
(A) (i)
(B) (ii)
(C) (iii)
(D) Can’t be determined
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