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A mat shaped as a parallelogram has a height of 4 cm and a base of 3 cm. How much would it cost to cover a parallelogram shaped hall with an area of 180 sq. cm with these mats, if 1 mat costs Rs.7?

$\begin{array}{cc}4A& \\ 4BA& \\ +AAB& \\ 1BBB& \end{array}$
A=___;B=___;

Factorise :

$16a^2-144$

A triangle does not have a radius we need to replace it.

ABCD is a trapezium in which AD||BC, AD = 8 cm, BC = 18 cm and the area of $\Delta DEC=30c{m}^2$. If AB||DE, then area of trapezium ABCD is ___ $c{m}^2$

Megha bought 10 note-books for Rs.40 and sold them at Rs.4.75 per note-book. Find her gain percent.

Statement 1: Diagonals of a rhombus bisect at right angle.

Statement 2: All sides of a rhombus are equal.

Choose the correct statement.

Question 86(ii)

A die is rolled once. What is the probability that the number on top will be greater than 5 ?

Making use of the cub e root table, find the cube root s of the (correct to three decimal places)
133100

Construct an angle PQR = ${80}^{\circ }$. Draw a line parallel to PQ at a distance of 3 cm from it and another line parallel to QR at a distance of 3.5 cm from it. Mark the point of intersection of these parallel lines as A.

Factorise : $a{b}^2-(a-c)b-c$

Question 135

Evaluate: $\sqrt[3]{327}+\sqrt[3]{30.008}+\sqrt[3]{30.064}$

The variable $x$ is inversely proportional to $y.$ If $x$ increase by $p\%$, then by what per cent will $y$ decrease?

Given A = $\{x\in N:x<6\}$, B = $\{3,6,9\}$ and C $\{x\in N:2x-5\le 8\}$. Show that: (i) $A\cup (B\cap C)=(A\cup B)\cap (A\cup C)$ (ii) $A\cap (B\cup C)=(A\cap B)\cup (A\cap C)$

Question 82

State whether the following statement is true or false:

$363\times 81$ is a perfect cube.

What will be the compound interest on Rs. 4000 in two years when rate of interest is $2\%$ per annum?

Construct a quadrilateral ABCD given AD=3.5cm, BC=2.5 cm, CD=4.1 cm, AC=7.3 cm, and BD=3.2 cm.

Question 81 (iv)

Add :

$5x^2-3xy+4y^2-9,7y^2+5xy-2x^2+13$

The list price of a frock is Rs 220. A discount of 20% is announced on sales. The sale price in Rs. is (Answer in numbers)

Two angles of a quadrilateral measure ${85}^0$ and ${75}^0$ respectively. The other two angles are equal. Find the measure of each of these equal angles.

Factorise:

$(a^2+b^2-4c^2{)}^2-4a^2{b}^2$

Question 51

Volume of a rectangular box with $l=b=h=2x$ is ___

Evaluate the exponential expression $x^5$ × $x^4$, for x = 2.

The middle value when you arrange all the observations in ascending or descending order is called ___.

The length of a rectangular field is one more than twice the breadth. What is the area of this rectangular field, if the breadth is x?

Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:
$\begin{array}{cccccccccc}1& 6& 2& 3& 5& 12& 5& 8& 4& 8\\ 10& 3& 4& 12& 2& 8& 15& 1& 17& 6\\ 3& 2& 8& 5& 9& 6& 8& 7& 14& 12\end{array}$
Which of the following shows the correct frequency distribution

Question 108

Solve the following

Distance between two plates A and B is 210 km. Two cars start simultaneously from A and B in opposite directions and distance between them after 3 hours is 54 km. If speed of one car is less than that of other by 8 km/h, then find the speed of each.

A pipe can fill a cistern in 9 hours. Due to a leak in its bottom, the cistern fills up in 10 hours. If the cistern is full, in how much time will It be emptied by the leak?

The denominator of a rational number is greater than its numerator by 3.If the numerator is increased by 8 and the denominator is decreased by 1, then new number becomes $\frac{5}{3}$.The original number is:

Find the value of ${\left(\frac{2}{5}\right)}^{-2}$

A tank with length,breadth and height of 5,6 and 3 units respectively is open at top. Find the cost of anti-microbial coating inside the tank if it is done at Rs.10 per sq. units.

Question 1(iv)
Identify the terms, their coefficients for the following expression:
$3-pq+qr-rp$

A clock manufacturer decreases the price of a particular model by 6% each year. If the current price of the model is ₹ 4500, then what would be the price after 2 years?

Find the equation of the circle passing through the points (2,3) and (-1,1) and whose centre is on the line $x-3y-11=0.$

Multiplicative inverse of

1) -7/9

2) 13/15

3) 1/3×4/7

4) -13/11×1/5

A rectangle having the perimeter of $20m$ is converted into a square. Find the money required to paint the complete area of the square if the cost involved for painting is $20paisaperc{m}^2$.

If the sum of three consecutive multiples of 9 is 108, then the third multiple is ___

A sum of ₹ 100 invested for 3 years at a rate of 20% per annum compounded annually, the principal for the second year is ₹ _______

In the given figure, find the value of 'x'.

Question 4 (iv)
Find the square roots of the following numbers by the Prime Factorizationmethod:

4096

Using this pictorial representation of the amount of money possessed by 3 friends find the amount of money that Ram has.

How to construct an angle of 85 and 95 degree using scale and compass? Write the steps of construction.