Question types

Squares and Square Roots question types

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

325
Questions
5
Question groups
5
Question types
Sample Questions

Squares and Square Roots questions

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

A society collected $Rs.\ 92.16$. Each member collected as many paise as there were members. How many members were there and how much did each contribute?
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Observe the following pattern, $1=\frac{1}{2}\{1\times(1+1)\}$ $1+2=\frac{1}{2}\{2\times(2+1)\}$ $1+2+3=\frac{1}{2}\{3\times(3+1)\}$ $1+2+3+4=\frac{1}{2}\{4\times(4+1)\}$ and find the values of each of the following:
$i. 1+2+3+4+5+\ .....\ +50$
$ii. 31+32+\ ...\ +50$
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Observe the following pattern,
$ 2^2-1^2=2+1 $
$ 3^2-2^2=3+2 $
$ 4^2-3^2=4+3 $
$ 5^2-4^2=5+4 $
and find the value of,
$i. 100^2- 99^2$
$ii. 111^2- 109^2$
$iii. 99^2- 96^2$
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The area of a square field is $5184cm^2$. A rectangular field, whose length is twice its breadth has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field.
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