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Verify the following

(i) $\frac{-12}{5}+\frac{2}{7}=\frac{2}{7}+\frac{-12}{5}$

(ii) $\frac{-5}{8}+\frac{-9}{13}=\frac{-9}{13}+\frac{-5}{8}$

(iii) $3+\frac{-7}{12}=\frac{-7}{12}+3$

(iv) $\frac{2}{-7}+\frac{12}{-35}=\frac{12}{-35}+\frac{2}{-7}$

X² - 1- 6y-9y² : factorize

Construct a parallelogram ABCD, in which AB= 6cm , AD= 3cm and ∠DAB = ${60}^{\circ }$ .

Draw a bisector to angle DAB, let it meet DC at point P. Measure angle APB.

Question 47



If 1AB + CCA = 697 and there is no carry - over in addition, find the value of A + B + C.

The decimal expansion 0.080080008000080000080000008....... is a

Write 908 in expanded form.

What is the value of 3.2 x 10^2?

Tap on the pythagorean triplets among the following.

Write 1 to 10 using 3 and 5, each at least once, and using addition and subtraction. (For example, 7 = 5 + 5 − 3).

In the following figure, if AO = 4 cm, then the length of the diagonal AC is _____.

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively $1.5\%$ and $1\%$, the maximum error in determining the density is

Question 65

In the following question, state whether the statement is True (T) or False (F):

$p^{2}q+q^{2}r+r^{2}q$ is a binomial

What is the absolute value of -6?

Given below are the entries in a saving bank a/c pass book:

Calculate the interest for the six months Feb to July at 4 ½ % p.a. on minimum balance.

Ali's father is 45 years old. He is 15 years older than twice Ali's age. How old is Ali?

Leo is organising a party in home. He has 12 glasses of cold drink. He wants to serve equal number of glasses to all his guests such that no glass of cold drink is left.



What is the range of the relation from set of number of glasses of cold drink to set of number of guests ?

The amount of loan to be paid back if the principal is ₹ 5000 is taken at a rate of 11% interest per annum under simple interest for a period of 3 years will be equal to

Express $7^3$ as a sum of 7 consecutive odd number.

Let two equal chords of a circle are $AX$ and $BY.$ If chord $AX$ substends ${50}^{\circ }$ at centre, then angle substends by chord $BY$ is

Ravish wanted to make a temporary shelter for his car by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). How much tarpaulin would be required to make the shelter if height is $2.5m$ and dimensions of the base are $4m\times 3m?$

Choose the correct pair of isobars.

Jonathan will be back from the mall in two and a quarter hours. If it is seven minutes past eight now, when exactly will Jonathan be back?

1. 15

Carry out the following
divisions.

(i) 28x⁴
÷ 56x

(ii) −36y³
÷ 9y²

(iii) 66pq²r³
÷ 11qr²

(iv) 34x³y³z³
÷ 51xy²z³

(v) 12a⁸b⁸
÷ (−6a⁶b⁴)

√2 - 1 / √2 + 1

When we draw quadrilateral which line we take base line

Question 65

Using the frequency table, answer the following:

9 students got full marks ?

$\begin{array}{ccccccc}\text{Marks(Obtained out of 10)}& 4& 5& 7& 8& 9& 10\\ \text{Frequency}& 5& 10& 8& 6& 12& 9\end{array}$

Select the option that would be equal to $9^8$.

prove that 2^{30 }+2^{29 }+2{}^{28 }÷2^{31}+2^{30}-2^{29}=7÷10

The graph below shows the number of people of different age groups staying in a hotel. Find the correct statement(s) among the options.

Express as a pair of linear equations:
The difference between two numbers is 26 and one number is three times the other. (Select all the correct options)

The number of permutations of $n$ objects taken $r$ at a time is determined by the following formula:

Expand the following numbers using exponents:

a) $1029.63$

b) $1296.249$