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What is the value of the expression $\frac{a^m}{a^n}$ ?

In $\Delta ABCand\Delta PQR$,$AB=4cm,BC=5cm,AC=6cm$ and $PQ=4cm,QR=5cm,PR=6cm$, then which of the following is true?

Match the value of x in each case;

Find the side of square whose area is given

5329

1. 22

What should be step 3 while drawing parallel lines using set squares?
Step 1: Position an edge of the set square against a ruler and draw a line along one of the other edges.
Step 2: Slide the set square into a new position while keeping the ruler fixed exactly at the same position.

The cost of cricket bat is Rs. 780. If the shopkeeper sells it at a loss of 5%, find the SP.

Find the area of the quadrilateral $ABCD$.

Here, $AC=22$ cm, $BM=3$ cm,$DN=3$ cm, and $BM\perp AC,DN\perp AC$

What is the quotient you get when (−20) is divided by (−5)?

In a fabric the ratio of cotton and synthetic is 1:4 find the percent of cooton in the fabric

1. 5

What is a vulgar fraction ?

How many spherical units belong to the unit cell of hcp ?

In the given figure find out the opposite angles and opposite sides. Also, name the diagonals for the given figure.

[3 MARKS]

Simplify the following expression:

$\left[\right(15+9)÷(48÷6\left)\right]\times 2$ =

1. 7.48

Fill in the blank.



$\frac{1}{4}$ ____$\frac{3}{9}$

Draw the double bar graph for the following data.



Sports played by number of students of ABC school in 2018 and 2019.

Find the top view of the figure below.

In exponential form, 1,100,000,000,000 can be written as:

Question 99

Solve the following:

In a two-digit number, digit in unit's place is twice the digit in ten's place. If 27 is added to it, digits are reversed. Find the number.

The sum of three consecutive even numbers is 126. Find the numbers.

In the figure given below, prove that $p\parallel m$.

Given below is a list of statements explaining the symmetry of letters from A-Z. Choose the correct option with reference to these statements.

Statement 1: All letters are symmetrical.

Statement 2: All letters have vertical line of symmetry.

Statement 3: All letters have horizontal line of symmetry.

Fill in the blanks to make the statement true.

$3a^{2}b$ and $-7b{a}^2$ are ___ terms

The product of two numbers is $15\frac{5}{6}$.

If one number is $6\frac{2}{3}$, what will be the other number?

What is the ratio of the area of the red sector to the area of the whole square?

Question 6(i)
Simplify:
(i) $2\times {10}^3$

Match the values with the corresponding laws of exponents.

Question 8(iv)
Verify a - (-b) = a + b for the following values of a and b.
a = 28, b = 11

Given BC = 5 cm, AC = 5.5 cm. Which of the following part is required to construct triangle ABC?

Let in a $△ABC,$ $x,y,z$ are the lengths of perpendicular drawn from the vertices of the triangle to the opposite sides $a,b,c$ and $\frac{bx}{c}+\frac{cy}{a}+\frac{az}{b}=\frac{a^2+b^2+c^2}{k},$ then the value of $k$ is

(where $R$ and $S$ are circumradius and semiperimeter respectively.)

Convert the ratios 5:4 and 9:25 into a percentage. [2 MARKS]

The area of a square with side length 7 m is ___$m^2$.