Question types

Mensuration question types

189 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

189
Questions
6
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 133 Mark Question3 Marks
A diagonal of a quadrilateral is 26cm and the perpendiculars drawn to it from the opposite vertices are 12.8cm and 11.2cm. Find the area of the quadrilateral.
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Q 143 Mark Question3 Marks
A room is 9 m by 8 m by 6.5 m . It has one door of dimensions ( $2 m \times 1.5 m$ ) and four windows each of dimensions ( $1.5 m \times 1 m$ ). Find the cost of painting the walls at Rs 50 per $m ^2$.
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Q 153 Mark Question3 Marks
A 115-m-long and 64-m-broad lawn has two roads at right angles, one 2 m wide, running parallel to its length, and the other 2.5 m wide, running parallel to its breadth. Find the cost of gravelling the roads at Rs 60 per $m ^2$.
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Q 17MCQ1 Mark
The area of a square and that of a square drawn on its diagonal are in the ratio:
  • A
    $1:\sqrt{2}$
  • $1 : 2$
  • C
    $1 : 3$
  • D
    $1 : 4$

Answer: B.

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Q 18MCQ1 Mark
The perimeters of a square and a rectangle are equal. If their areas be $A m ^2$ and $B m ^2$, then which of the following is a true statement?
  • A
    $\text{A}<\text{B}$
  • B
    $\text{A}\leq\text{B}$
  • $\text{A}>\text{B}$
  • D
    $\text{A}\geq\text{B}$

Answer: C.

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Q 19MCQ1 Mark
The base and height of a triangle are $12m$ and $8m$ respectively. Its area is:
  • A
    $96\text{m}^2$
  • $48\text{m}^2$
  • C
    $16\sqrt{3}\text{m}^2$
  • D
    $16\sqrt{2}\text{m}^2$

Answer: B.

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Q 20MCQ1 Mark
The area of a rhombus is $144 cm^2$ and one of its diagonals is double the other. The length of the longer diagonal is:
  • A
    12 cm
  • B
    16cm
  • C
    18cm
  • 24 cm

Answer: D.

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Q 21MCQ1 Mark
On increasing each side of a square by $25 \%$, the increase in area will be:
  • A
    $25 \%$
  • B
    $55 \%$
  • C
    $40.5 \%$
  • $56.25 \%$

Answer: D.

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Q 244 Mark Question4 Marks
The length and breadth of a park in the ratio $2: 1$ and its perimeter is 240 m . A path 2 m wide runs inside it, along its boundary. Find the cost of paving the path at Rs 80 per $m ^2$.
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Q 254 Mark Question4 Marks
In the given figure, a circle of diameter 21cm is given. Inside this circle, two circles with diameters $\frac{2}{3}$ and $\frac{1}{3}$ of the diameter of the big circle have been drawn, as shown in the given figure. Find the area of the shaded region.
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