Question types

Mensuration question types

109 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

109
Questions
5
Question groups
5
Question types
Sample Questions

Mensuration questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark
Mark the correct alternative in the following question:
The area of a rectangle is $650cm^2$ and its breadth is $13cm.$ The perimeter of the rectangle is:
 
  • A
    $63cm$
     
  • B
    $130cm$
     
  • C
    $100cm$
     
  • $126cm$

Answer: D.

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Q 2MCQ1 Mark
If the length of the diagonal of a square is $20\ cm,$ then its perimeter is:
  • A
    $10\sqrt{2}\ \text{cm}$
  • B
    $40\ \text{cm}$
  • $40 \sqrt{2}\ \text{cm}$
  • D
    $200\ \text{cm}$

Answer: C.

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Q 3MCQ1 Mark
Mark the correct alternative in the following question:
The length of the diagonal of a square is $20\ cm$. Its area is:
 
  • A
    $400\ cm^2$
  • $200\ cm^2$
  • C
    $300\ cm^2$
  • D
    $100\sqrt{2}\text{cm}^{2}$

Answer: B.

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Q 4MCQ1 Mark
The cost of putting a fence around a square field at As $2.50$ per metre is As $200.$ The length of each side of the field is:
  • A
    $80m$
  • B
    $40m$
  • $20m$
  • D
    None of these

Answer: C.

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Q 5MCQ1 Mark
The length of a rectangle is three tmies of its width. If the length of the diagonal is $8\sqrt{10}\text{m}$, then the perimeter of the rectangle is:
  • A
    $15\sqrt{10}\text{m}$
  • B
    $16\sqrt{10}\text{m}$
  • C
    $24\sqrt{10}\text{m}$
  • $64\text{m}$

Answer: D.

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Q 215 Mark Question5 Marks
A square sheet of $2\ cm$ is cut from each corner of a rectangular piece of aluminium sheet of length $12\ cm$ and breadth $8\ cm$. Find the area of the left over aluminium sheet.
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Q 225 Mark Question5 Marks
Find the total cost of levelling the shaded path of uniform width 2 metres, laid in the rectangular field shown below, if the rate per $m ^2$ is Rs. 100.

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Q 235 Mark Question5 Marks
A room is 8m long and 6m wide. Its floor is to be covered with rectangular tiles of size 25cm by 20cm. How many tiles will be required? Find the cost of these tiles at Rs. 25 per tile.
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Q 245 Mark Question5 Marks
A square sheet of side 5cm is cut out from a rectangular piece of an aluminimum sheet of length 9cm and breadth 6cm. What is the area of the aluminium sheet left over?
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Q 255 Mark Question5 Marks
The area of a rectangular ground is $120 m^2$ and its length is 12 m . Find the cost of fencing the ground at the rate of Rs. 125 per metre.
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