Question 1 :
What is the square root of 3481? Find out by division method.
Question 3 :
The students of Class VIII of a school donated Rs 2401 in all, for Prime Minister's National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.
Question 5 :
What is the square of 43? Find by using the distributive law.
Question 6 :
What is the least number which must be added to 525 so as to get a perfect square?
Question 10 :
What is the square root of 100? Find by the method of repeated subtraction.
Question 11 :
What could be the possible one's digit of the square root of 998001?
Question 13 :
What will be the unit digit of the square of 52698?
Question 15 :
Observe the following pattern and supply the missing digits:-
$11^{2}$=121
$101^{2}$=10201
$10101^{2}$=102030201
$1010101^{2}$=.............
$..........^{2}$=10203040504030201
Question 16 :
What will be the 'one's digit' in the square of 52698?
Question 17 :
A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.
Question 18 :
What is the square root of 7921? Find out by division method.
Question 19 :
What will be the unit digit of the square of 799?
Question 21 :
What will be the unit digit of the square of 55555?
Question 22 :
What is the least number that must be added to 1500 so as to get a perfect square?
Question 24 :
What could be the possible 'one's' digits of the square root of 9801.
Question 25 :
Which of ${19}^2$, ${24}^2$, ${26}^2$, ${36}^2$, ${34}^2$, would have digit 6 at unit's place?
Question 26 :
By repeated subtraction of odd numbers starting from 1, find whether 90 is a perfect square or not? If it is, then find it's square root.
Question 28 :
What could be the possible 'one's' digits of the square root of 657666205.
Question 29 :
What will be the 'one's digit' in the square of 99880?
Question 30 :
Is 2061 a perfect square number? Decide by looking at it's one's digit.
Question 32 :
Find the length of the side of a square whose area is 441 $m^{2}$.
Question 33 :
State true or false. A number having 7 at it's one's place will have 3 at the unit's place of it's square.
Question 36 :
Which of ${123}^2$, ${77}^2$, ${82}^2$, ${161}^2$, ${109}^2$, would end with digit 1?
Question 37 :
What is the smallest perfect square number which is divisible by 3, 4, 5 and 6?
Question 39 :
By which smallest whole number should 252 be multiplied so as to get a perfect square number?
Question 40 :
Is 441 a perfect square? Find out without doing any calculation.
Question 41 :
By which smallest whole number should 2028 be multiplied so as to get a perfect square number?
Question 43 :
State true or false. The product of two perfect squares is a perfect square.
Question 44 :
What is the square root of 169? Find by the method of repeated subtraction.
Question 45 :
What is the least number which must be added to 6412 so as to get a perfect square?
Question 50 :
By which smallest whole number should 2925 be divided so as to get a perfect square?
Question 53 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d03bf59b460d7261f2ab.png' />
In the above image, find the values of the unknowns x, y, z.
Question 54 :
Find the measure of each exterior angle of a regular polygon of 15 sides.
Question 55 :
How many sides does a regular polygon have if the measure of an exterior angle is $24^{\circ }$ ?
Question 57 :
Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram
Question 58 :
Is it possible to have a regular polygon with measure of each exterior angle as $22^{\circ }$ ?
Question 59 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf19f59b460d7261f113.png' />
From the above figure, find the values of the unknowns $x$, $y$, $z$.
Question 61 :
ABCD is a quadrilateral in which AB = 5 cm, CD = 8 cm and the sum of angle A and angle D is $180^{\circ}$. What is the name of this quadrilateral?
Question 64 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad478c526e972caf079.png' />
From above figure identify all the concave polygons .
Question 65 :
If diagonals of a quadrilateral bisect at right angles, then which type of quadrilateral it is a _______.
Question 66 : Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf10f59b460d7261f107.png' />
What can you say about the angle sum of a convex polygon with number of sides as 10?
Question 67 :
State true or false. A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal are given.
Question 68 :
State true or false. A diagonal of a polygon is a line segment connecting two non-consecutive vertices.
Question 69 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d03df59b460d7261f2ae.png' />
In the above image, GUNS is a parallelogram. Find the value of x and y. (Lengths are in cm).
Question 71 :
Name the quadrilaterals whose diagonals are perpendicular bisectors of each other.
Question 72 :
Rukmini has a farm land which is triangular in shape. What is the sum of all the exterior angles taken in an order of the farm land?
Question 73 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d035f59b460d7261f2a2.png' />
In the above image, find the value of x.
Question 77 :
Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.
Question 78 :
State true or false. The sum of interior angles of a quadrilateral is 360°.
Question 79 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d034f59b460d7261f2a1.png' />
In the above image, find x + y + z + w.
Question 80 : Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf14f59b460d7261f10c.png' />
What can you say about the angle sum of a convex polygon with number of sides as 7?
Question 81 :
State true or false. In a parallelogram, opposite sides are equal, opposite angles are equal and diagonals bisect each other.
Question 83 :
State true or false. Kite is a quadrilateral which has two pairs of equal consecutive sides.
Question 85 :
Based on the nature of the sides or angles of a quadrilateral, it gets special names.
TRUE or FALSE ?
Question 86 : Consider quadrilateral ABCD
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf07f59b460d7261f0fb.png' />
Let P be any point in its interior. Join P to vertices A, B, C and D.
find the total measure m∠1 + m∠2 + ... + m∠8,.
Question 87 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf0df59b460d7261f103.png' />
RICE is a rhombus . Find x, y, z
Question 88 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf7cf59b460d7261f19c.jpeg' />
Refer to the above figures. Which of these are simple closed curves ?
