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$\text{A delar gets Rs. 470 more if instead of selling a table at a loss of 10\% , it is soldat a gain of 10\% . Find the cost price of the table.}$

Question 4 (iii)
Find the square roots of the following numbers by the Prime Factorization method:

1764

A tank open at the top is made of iron sheet 4 m wide. If the dimensions of the tan 12 m $\times$ 8 m $\times$ 6 m, find the cost of iron sheet at Rs 17.50 .per metre.

Draw the graphs of: [4 MARKS]

(a) 3x-2y = 6 and y = -2 on the same pair of axes.

(b) A triangle ABC where vertices A, B and C are (0, 2), (2, -2), and (-2, 2) respectively.

If ABCD is a parallelogram and BEFC is a square which of the following is true?

Subtract $\frac{-3}{4}$ from $\frac{-5}{6}$

$\begin{array}{cc}\text{Colours}& \text{No. of people}\\ \text{Blue}& \text{18}\\ \text{Green}& \text{9}\\ \text{Red}& \text{6}\\ \text{Yellow}& \text{3}\\ \text{Total}& \text{36}\end{array}$
Draw a pie chart showing the given information. The table shows the colours preferred by a group of people. Calculate the respective proportion of each colour.
[3 MARKS]

Construct a quadrilateral ABCD, where AB = 4 cm, BC = 5 cm, CD = 6.5 cm and Angle B = ${105}^{\circ }$ and Angle C = ${80}^{\circ }$.

Rahul bought a pen for ₹450. For how much should he sell it in order to make a profit of 20%?

Three numbers are in ratio 2:3:4. The sum of their cubes is 0.334125. Find the numbers.

The volume of a cube of side $\frac{9}{2}$ cm is ______.

Why is speed relative?

In a right triangle, let the base be 'x' and height of a triangle is 3 units less than the base. The hypotenuse is 4 units . Which of the following is correct representation of Pythagoras theorem?

x^2+4abx-(a^2-b^2)^2

Addition of -4x and 6x is

Rani wants to show the distribution of the population in India according to states on a pie chart. How many sectors should she divide the chart into?
___

Factorise :

$3x^2+6x^3$

7X/2+X/4+X/8=11

Four horses are tethered with equal ropes at 4 corners of a square field of side 70 m so that they just can reach one another. Find the area left ungrazed by the horses.

What does x = 6 mean?

A shopkeeper announces a discount of 40%. If the Marked Price of an article is Rs.700 then the amount of discount is:

If $\Delta ABC\sim \Delta PQC$, then choose the correct options (All lengths are in cm).

Question 1 (x)
Find the square roots of each of the following numbers by Division method:

1024

Question 6
Find the value of the following letters.

$AB$
$\underset{–}{\times 5}$
$\underset{–}{CAB}$

In the given figure, $\angle PQR={100}^{\circ }$, where P, Q and R are points on a circle with centre O. Find $\angle OPR$.

If two angles of a quadrilateral are 45^o and 75^o, sum of other two angles is

In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit of the class is:

Spot the mistake:
$(3y+8{)}^2=9y^2+24y+64$

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

State whether true or false.

All rectangles are squares.

(2x + 4)(2x + 8) =

If you are given a set of data which has weights of all the students in a class, you will call it organized if-

Factorise :

$3x^{5}y-27x^4{y}^2+12x^3{y}^3$

The circle-graph given here shows the expenses of a country on various sports during a particular year. Study the graph carefully and answer the questions given below it. How much percent more is spent on Hockey than that on Golf?

If the side of a cube is $x$, the volume of the cube is:

The graph shows the distribution of TV viewership for TV channels in the year 2012-13. The % distribution for entertainment is ___