Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c9f5f59b460d7261ea53.JPG' />
In the above fig. The points P,Q,R,S,T,U,A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. what is the value of P.
Question 15 :
State whether TRUE or FALSE: $8 \times 10^6 + 2 \times 10^4 + 5 \times 10^2 + 9 \times 10^0 = 8020509$
Question 19 :
State whether TRUE or FALSE: $876543 = 8 \times 10^{5} + 7 \times 10^{4} + 6 \times 10^{3} + 5 \times 10^{2} + 4 \times 10^{1} + 3 × 10^0$
Question 20 :
$a^m\times a^n=a^x$, where $x$ is the _________ of $m$ and $n$.
Question 25 :
Fill in the blank: When you are dividing two powers with the same base, _____ the second
exponent from the first to give you the exponent of the answer.
Question 33 :
The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. What is the lowest score?
Question 38 :
The teacher tells the class that the highest marks obtained by a student is twice the lowest marks plus 7. The highest score is 87. What is the lowest score?
Question 40 :
Check whether the value given in the bracket is a solution to the given equation or not: $4p – 3 = 13 (p = – 4)$
Question 43 :
Solve the following riddle :
I am a number,
Tell my identity!
Take me seven times over
And add a fifty!
To reach a triple century
You still need forty !
The number is -
Question 45 :
Set up an equation in the following case: Irfan says that he has 7 marbles more than five times the marbles Parmit has.Irfan has 37 marbles. (Take m to be the number of Parmit’s marbles.)
Question 49 :
The given pair of terms $-7x\ ,\ \frac{5}{2}x$ are like terms ?
Question 51 :
State if the given pair of expressions are like or unlike. $mn^{2}, 10mn$
Question 52 :
Add :
3$p^{2}q^{2}$ - 4pq + 5, - 10$p^{2}q^{2}$, 15 + 9pq + 7$p^{2}q^{2}$
Question 53 :
If z = 10, find the value of $z^{3}$ - 3 (z - 10)
Question 55 :
Get the algebraic expression using variables , constants , and arithmetic operations - numbers x and y both squared and added .
Question 58 :
Get the algebraic expression using variables , constants , and arithmetic operations - Products of numbers y and z subtracted from 10 .
Question 60 :
Add :
- 7mn + 5, 12mn + 2, 9mn - 8, - 2mn - 3
Question 61 :
Classify the following expression as a monomial,a binomial or a trinomial : $xy$
Question 62 :
When a = 0, b = - 1, find the value of given expression:
2$a^{2}$ + $b^{2}$ + 1
Question 63 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c93ef59b460d7261e966.jpeg' />
In the given figure, Observe the patterns of digits made from line segments in the given figure . If the number of digits formed is taken to be n , the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern . How many segments are required to form 5,10,100 digits of the above kind .
Question 64 :
Simplify the expression and find its value when a=5 and b=-3 , $2\left(a^2+ab\right)+3-ab$.
Question 67 :
Identify the numerical coefficients of terms (other than constants ) in the given expression $2\left(l+b\right)$.
Question 69 :
Classify the following expression as a monomial,a binomial or a trinomial : $4m$
Question 70 :
Simplify the expression and find the value if x=2 for $x+7+4\left(x-5\right)$.
Question 71 :
What is the side opposite to the vertex Q of $\Delta $POQ?
Question 72 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb17f59b460d7261ebd3.png' />
In the above figure, find the value of the unknown x and y.
Question 73 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca21f59b460d7261ea8f.png' />
From the above image, find the unknown length x.
Question 74 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca38f59b460d7261eaae.png' />
From the above image, find the values of the unknowns x and y.
Question 75 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c954f59b460d7261e983.png' />
In the above image, lengths of the sides of the triangles are indicated. By applying the SSS congruence rule, state whether the pair of triangles are congruent or not.
Question 76 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c95ff59b460d7261e991.png' />
In the above image, can you use ASA congruence rule and conclude that $\triangle AOC \cong \triangle BOD$?
Question 77 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c959f59b460d7261e98a.png' />
In the above image, AB = AC and AD is the bisector of $ \angle BAC$. Is $ \angle B = \angle C$?
Question 78 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca1ef59b460d7261ea8a.png' />
From the above image, find angles x and y.
Question 79 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca23f59b460d7261ea91.png' />
From the above image, find the unknown length x.
Question 80 :
Which one of the following is not a criterion for congruence of two triangles?
Question 81 :
The line segment joining a vertex of a triangle to the mid-point of its opposite side is called its __________.
Question 82 :
What is the vertex opposite to the side RT of $\Delta $RST?
Question 83 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca2cf59b460d7261ea9e.png' />
From the above image, find the value of the unknown exterior angle x.
Question 84 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca7af59b460d7261eb06.png' />
In the above image, it is given that $ ΔAMP \cong ΔAMQ$. Then PM = ____.
Question 85 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca33f59b460d7261eaa8.png' />
From the above image, find the value of the unknown x .
Question 86 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca12f59b460d7261ea79.png' />
Look at the above image and tell what type of triangle is it according to its angles.
Question 87 :
Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by ASA congruence rule.
In triangle DEF, $\angle D = 60^{\circ}$, $\angle F = 80^{\circ}$, DF = 5 cm
In triangle PQR,$\angle Q = 60^{\circ}$, $\angle R = 80^{\circ}$, QR = 5 cm
Question 88 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c971f59b460d7261e9a6.png' />
Which congruence criterion do you use in the following?(see the above image) Given: EB = DB,AE = BC,$\angle A = \angle C = 90^{\circ}$. So, $\triangle ABE \cong \triangle CDB$.
Question 89 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca27f59b460d7261ea97.png' />
From the above image, in triangle ABC, is BE a median?
Question 91 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c930f59b460d7261e952.png' />
In the above figure, Observe and state the three pairs of equal parts in triangles ABC and DBC.Is ∆ABC ≅ ∆DCB?
Question 92 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb22f59b460d7261ebe1.png' />
In the above figure, find the value of the unknown exterior angle x.
Question 93 :
$\triangle ABC$ and $\triangle PQR$ are congruent under the correspondence: ABC ↔ RQP. Write the part of $\triangle ABC$ that corresponds to $\overline {RP}$.
Question 94 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1a9d78c526e972caefd8.png' />
In the above image, ray AZ bisects $\angle DAB$ as well as $\angle DCB$. Is $\triangle BAC \cong \triangle DAC$?
Question 95 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb11f59b460d7261ebca.png' />
In the above figure, take any point O in the interior of a triangle PQR. Is OQ+ OR > QR?
Question 96 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c955f59b460d7261e985.png' />
From the above image, AB = AC and D is the mid-point of $\overline {BC}$.Is $ \triangle ADB \cong \triangle ADC$?
Question 97 :
Write the side opposite to the vertex Q of triangle PQR .
Question 99 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c956f59b460d7261e986.png' />
From the above image,AB = AC and D is the mid-point of $\overline {BC}$.Is $ \angle B = \angle C$ ?
Question 100 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb13f59b460d7261ebce.png' />
In the above figure, take any point O in the interior of a triangle PQR. Is OR + OP > RP?
