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Are squares natural numbers $?$ Explain.

Important Questions on Squares and Square Roots

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8th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 5 - Squares and Square Roots>Exercise>Q 9

How is the repeated subtraction method in dividing two numbers and finding square roots different

?

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8th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 5 - Squares and Square Roots>Exercise>Q 10

Two square shapes frames made of steel wire has area

225 m^{2}

and

400 m^{2}

each. Both shapes were cut open to get two straight wires, joined them together without a gap or overlap and then formed a new square. What is the area of the new square?

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Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 5 - Squares and Square Roots>Exercise>Q 11

The least number that is a perfect square and is exactly divisible by

4, 5, 6, 12, 15, 18

and

36

is:

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IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 5 - Squares and Square Roots>Exercise>Q 12

\sqrt{X}

is a perfect square. Which of the following is/are true?

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IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 5 - Squares and Square Roots>Exercise>Q 13

A timber merchant has made beams of wood where each beam is short from its predecessor by

2 ft

. The lengths of the beams are

51 ft, 49 ft, 47 ft, 45 ft

and so on up to

21 ft

. He sold all beams of wood at a cost of

₹

5

per

ft

. How much money did he make by selling the beams of wood?

HARD

8th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 5 - Squares and Square Roots>Exercise>Q 14

The distance travelled by a car in an interval of one second keep increasing as each second is passed. The car travels $1 m$ the first second, but during the next one-second interval it travels $3 m$ , again in the next one-second interval it travels $5 m$ and so on. The table illustrates the movement of the car.

Time interval (seconds)	Time Duration (seconds)	Distance Travelled (metres)
$0 - 1$	$1$ second	$1 m$
$1 - 2$	$1$ second	$3 m$
$2 - 3$	$1$ second	$5 m$
$3 - 4$	$1$ second	$7 m$
....	....	...
.....	....	...

How far does the car travel in one minute?

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8th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 5 - Squares and Square Roots>Exercise>Q 15

Two friends, Veena and Varsha made a bet and Varsha lost the bet. As per the agreement, Varsha has to pay $₹ 1$ on the first day of next month, $₹ 2$ on the second day, $₹ 3$ on the third day and so on till the month end. The month has $31$ days.

How much money should Varsha pay to Veena by the end of next month?

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8th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 5 - Squares and Square Roots>Exercise>Q 16

The area of a garden, in the shape of a right-angled triangle, is $120 m^{2}$ and its hypotenuse measures $26 m$ .

What is the perimeter of the garden?

Are squares natural numbers? Explain.

Important Questions on Squares and Square Roots

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Are squares natural numbers $?$ Explain.