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Squares and Square Roots Maths - Squares and Square Roots

Maharashtra Board - STD 8 - Maths (MSBSHSE - Semi English Medium). 283 questions in this chapter.

Question types

Squares and Square Roots question types

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

283
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.

Q 115 Mark Question5 Marks
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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Q 135 Mark Question5 Marks
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:
  1. $1+2+3+4+5+\ .....\ +50$
  2. $31+32+\ ...\ +50$
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Q 145 Mark Question5 Marks
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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Q 155 Mark Question5 Marks
The area of a square field is $5184 cm^2$. 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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Q 174 Mark Question4 Marks
By what number should the following numbers be multiplied to get a perfect square in each case? Also, find the number whose square is the new number.
3468
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Q 184 Mark Question4 Marks
By what number should the following numbers be multiplied to get a perfect square in each case? Also, find the number whose square is the new number.
2880
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Q 194 Mark Question4 Marks
By what numbers should the following be divided to get a perfect square in case? Also, find the number whose square is the new number.
5103
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