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The exponential form of $\sqrt{2\times 3}$ is

“But what about this wall? Was this always here?” Ted asked. $1$ replied, “No, this wall was not always here. During old times we along with our additive inverses and $0$ used to live together. During that time, this world was big and was called the world of __.”

What is the equivalent rational number of $\frac{2}{3}$ with denominator 18?

A bridge is 500 m long. A 100 M long train crosses the bridge at a speed of 30 M/sec. Find the time taken by the train to cross it?

If there are 5 people in the height range 170-175 cm in a class of 50 people, the percentage of people in the height range 170-175 cm is____.

In the following figure, if AC = 10 cm and BC = 7 cm then AB is:

Question 9

Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? $(Take\pi =\frac{22}{7})$

What is P - (Q + R)?

If, P =$\frac{1}{2}$xyz, Q =$\frac{3}{2}$xyz and R = -2 xyz

Convert 7/25 in the form of decimals,

The cost of 2 Red balls and 5 Blue balls was found to be ₹ 160. Assume the cost of one red ball be r and cost of one blue ball be b.The correct expression for this situation is

Read the following information and answer questions given below it:

I. There is a rectangular wooden block of length 4 centimetres, height 3 centimetres and breadth 3 centimeter

II. The two opposite surfaces of 4 centimetres x 3 centimetres are painted yellow on the outside

III. The other two opposite surfaces of the 4 centimetres x 3 centimetres block are painted red on the outside

IV. The remaining two surfaces of the 3 centimetres x 3 centimetres block are painted green on the outside

V. Now, the block is cut in such a way that cubes of 1 centimetre x1 centimetre x 1 centimetre are created

How many cubes will have exactly two colours?

Find the value of 'p' and 'q' if 2100=$2^2\times p\times q\times 7$

A triangle is constructed such that one of its side 10 cm, another side is of length 9 cm and the angle opposite to the side of length 9 cm is 60${}^{\circ }$. This construction results in the formation of two triangles. Let us call the third vertex of the smaller triangle as $C_1$ and the third vertex of the bigger triangle as $C_2$, as shown in the image below.

(image here)

Then x${}^{\circ }$ + y${}^{\circ }$ equals

Express 472 as a power of its prime factors. [1 MARK]

What is the value of ${180}^{\circ }-\angle A$ in Triangle ABC?

Robert’s father is $4$ times as old as Robert. If after 5 years, father will be three times as old as Robert, then the present age of Robert’s father is:

Sum of 3 and twice of a number is 15. The linear equation for the statement is

Consider the two statements:

Statement 1: If two line segments have the same length, then they are congruent.

Statement 2: If two line segments are congruent, then they have the same length.

There is a square park in the society. The management wants to put a circular fountain at the centre of the park with diameter 14 m. The remaining area is to be covered with grass. If the cost of laying grass is ₹ 20 per $m^2$ and the cost of constructing the fountain is 10 per $m^2$ . Find the length of the field if the total cost incurred is ₹ 6460 .( Use π = 22/7)

In the given figure, AB || DE. $\angle$A = 43${}^{\circ }$ and $\angle$BDE = 57${}^{\circ }$. The value of $\angle$x is ________.

Question 34

Fill in the blanks to make the statement true.

x + 7 = 10 has the solution ................

Question 10 (d)

Find the LCM of the following numbers:
15 and 4
Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?

Question 91

Amisha makes a star with the help of line segments a, b,c, d, e and f in which $a||d,$ $b||e$ and $c||f.$ Chhaya marks an angle as ${120}^{\circ }$ as shown in the given figure and Amisha to find to $\angle x,\angle y$and $\angle z.$ Help Amisha in finding the angles.

Question 85

State whether the statement is True or False.

$4\times (-5)=(-10)\times (-2)$

Let ‘$a$’ be the original number and there is a $30\%$ increase. To find the final figure, what should be multiplied to the original number?

Mathematically, a part of whole is called a/an __.

Find the algebraic expression to express the following number series.

5, 8, 11, 14, 17, 20, …….. (n = 1,2,3,4,.......)

David lent ₹27000 to Leo at 8% per annum. If Leo repays the debt after 8 months by giving him a color television and ₹14200 cash, find the price of the television.

(Use simple interest).

x + (x + 1) is equal to ______ .

Evaluate 0.75 - 1.5 of 0.5

The degree of the term 12abc is

1. 8

32.05 $\times$ 4.66 =

$(a^x{)}^2=$___

In the options given below, there are a few terms picked from an algebraic expression in x and y.
Which of them is a constant?

Now that you have a concept of measurements and units, can you identify the area of mathematics which deals with the measurement of geometrical shapes and figures?

Identify the quantifier in the following statements and write the negation of the statements.

(i) There exists a number which is equal to its square.

(ii) For every real number x, x is less than x + 1.

(iii) There exists a capital for every state in India.

In triangle ABC given below, $\angle AOC={90}^{\circ }$, AO = 8 cm, BC = 9 cm and AC =10 cm. The length of AB is _______.

Data can be _____.

On Diwali, your sister made a colorful rangoli and you noticed many mathematical shapes in it. As there was time to burst crackers, you started finding the area of orange colored part. You measured the bigger square's side as 30 cm by 30 cm and the smaller square's side to be 15 cm by 15 cm. What was the area of the orange colored part?

A/An __ is a mathematical phrase that contains ordinary numbers, variables (like x or y) and operators (like add, subtract, multiply, and divide).

Question 1 (ii)

The length and breadth of a rectangular piece of land are 500 m and 300 m respectively. Find:
The cost of the land, if 1 $m^2$ of the land costs Rs 10,000.

Please explain this statement additive inverse of an integer 8 is (-8)and Additive inverse of (-8) is 8.