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Which of the following expressions are binomials?

The value of $(2^2{)}^{-3}$ is ___.

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. Find the original sum of money. [2 MARKS]

Two sides of a triangle are 6-4 m and 4-8 m. If height of the triangle corresponding to 4-8 m side id 6 m; find:

(i) Area of the triangle;

(ii) Height of the triangle corresponding to 6-4 m side

A man bought goods worth Rs.6000 and sold half of them at a gain of $10\%$. At what gain percent must he sell the remainder to get a gain of $25\%$ on the whole?

Find the square root of :

(i) 4761 (ii) 7744

(iii) 15129 (iv) 0.2916

(v) 0.001225 (vi) 0.023104

(vii) 27.3529

A parallelogram is constructed and named KLMN. LP is perpendicular to KL and ML is the angular bisector of $\angle KLP$. Find the value of $\angle KLM$.

The denominator of a rational number is greater than its numerator by 3. If the numerator is increased by 7 and the denominator is decreased by 1, the new number becomes $\frac{3}{2}$. The original number is:

Find the cost price, if : (i) S.P. =Rs. 1,680 and profit = 12% (ii) S.P. = Rs. 1,128 and loss = 6%

A polygon whose all sides and all angles are equal is known as a ___.

Find the values of A and B $$\begin{array}{c}12A\\ +6AB\\ A09\end{array}$$

Who was the first person to describe a histogram ?

${\left(1.05\right)}^2-{\left(0.95\right)}^2=$ ___

Find the volume of rectangular boxes with the following length, breadth and height respectively

$\left(i\right)(a^2,a^3,a^4)$

$\left(ii\right)(x^2{y}^2,xz,z^4)$ [2 MARKS]

Factorise : $6+7b-3b^2$

Add the following:

$a(a+b),b(b+c),c(a+c)and{a}^2+b^2+c^2$ [2 MARKS]

If A, B, C, D,.........Z represents numbers from 1, 2, 3,...... 26. Key can be anything from 1 to 25. For a key of 2, every letter shifts 2 places. To right A becomes C, Z becomes B and so on. If key is equal to 9, match the normal letters with encrypted letters.

$\begin{array}{cc}\text{Normal Letter}& \text{Encrypted Letter}\\ 1A& aY\\ 2F& bD\\ 3P& cO\\ 4U& dI\\ 5Z& eJ\end{array}$

Factorise:

$9a^2-(a^2-4{)}^2$

Find $10$ rational numbers between $2$ and $3$ and also represent them on the number line.

Which of the following fraction has a terminating decimal?

Two dices are placed side by side as shown in the figure. Find the sum of numbers on the faces opposite to faces having 5 and 6?

How many bricks of 25cm by 20cm by 12cm are required to build a wall 3m long, 3m high and 30cm thick?

The cost price of 15 tables is equal to the selling price of 20 tables. Find the loss per cent.

What is the lateral surface area of the cylinder shown below?

There is a two digit number ab. Its reversed number is obtained by interchanging the digits as ba. Sum of ab and ba is 77 and one's place of the number is 3. What is the digit at ten's place of the number?

1. 2

In which of the following quadrilaterals, diagonals do not bisect each other ?

If A and B are two fixed points on the circumference of the circle such that line joining A and B passes through the centre of that circle, then the locus of the point P such that the $\angle APB={90}^{\circ }$ is ___ of the circle.

A, B, C are any points on the circle with centre O. m(arc BC)=120${}^{\circ }$ and m(arc AB)=130${}^{\circ }.$
Then,

In $\Delta$ABC, AD is the median. Which of these conditions should be satisfied to make $\Delta$ADB and $\Delta$ADC a similar triangles?

Area of four walls of a room is $108m^2$ . If height and length of room are in the ratio 2: 5 and height and breadth are in the ratio 4: 5. The area of the floor of the room is

On one day a rickshaw puller earned Rs 80. Out of his earnings he spent Rs. $13\frac{3}{5}$ on tea and snacks Rs. $25\frac{1}{2}$ on food and Rs. $4\frac{2}{5}$ on repairs of the rickshaw. How much did he save on that day ?

In which of the following quadrilaterals, diagonals do not bisect each other

What is the least number by which 30375 should be multiplied to get a perfect cube?

The difference between the S.I and C.I. on a certain sum of money for 2 years at $4\%$ per annum is Rs. 20. Find the sum.

Find the greatest common factors (GCF / HCF) of the following polynomials :

$7x,21x^2\text{and}14x{y}^2$

The height and radius of a cone are $4cm$ and $3cm$ respectively. The curved surface area of is is .

Question 99

State whether the statement is True or False.

$a\times b=b\times a$

Question 111 (i)

What will happen to the volume of the cube, if its edge is tripled?

On subtracting $(x+a)$ from $(4x+3a)$, the result obtained is_____.