What is the marked price of a hat which is bought for Rs. 210 at 16% discount?

(a) \(\frac { x }{ 2 } \) = 10     (i) x = 4
(b) 20 = 6x – 4   (ii) x = 1
(c) 2x – 5 = 3 – x  (iii) x = 20
(d) 7x – 4 – 8x = 20  (iv) x = \(\frac { 8 }{ 3 } \)
(e) \(\frac { 4 }{ 11 } \)- x = \(\frac { -7 }{ 11 } \)   (v) x = –24

The exterior angle of a triangle is 120° and one of its interior opposite angle 58°, then the other opposite interior angle is________.

The sides of a right angled triangle are in the ratio 5: 12: 13 and its perimeter is 120 units then, the sides are ______________.

There are four groups of letters in each set. Three of these sets are a like in some way while one is different. Find the one which is different.

The compound interest on Rs.5000 at 12% p.a for 2 years compounded annually is ____________.

The value of x in the equation x + 5 = 12 is _____________

If 'l' and ‘m’ are the legs and 'n' is the hypotenuse of a right angled triangle then, l² = ________.

If the sides of a triangle are in the ratio 5: 12: 13 then, it is ________.

H X R V M X V

The compound interest on Rs.16000 for 9 months at 20% p.a, compounded quarterly is Rs.2522.

The coordinates of the origin are (1,1).

y = −9 x not passes through the origin.

In a right angled triangle, the hypotenuse is the greatest side.

One of the legs of a right angled triangle PQR having ㄥR = 90⁰ is PQ.

A Welfare Association has a sports club where 30% of the members play cricket, 28% play volleyball, 22% play badminton and the rest play indoor games. If 30 member play indoor games.
(i) How many members are there in the sports club?
(ii) How many play cricket, volleyball and badminton?

If the numerator of a fraction is increased by 50% and the denominator is decreased by 20%, then it becomes \(\frac { 3 }{ 5 } \). Find the original fraction.

Some articles are bought at 2 for Rs.15 and sold at 3 for Rs. 25. Find the gain percentage

Find x and m: (i)\(\frac { 3x-2 }{ 4 } =\frac { (x-3) }{ 5 } =-1\) 
(ii) \(\frac { m+9 }{ 3m+15 } =\frac { 5 }{ 3 } \)

The length of a rectangle is \(\frac { 1 }{ 3 } \) of its breadth. If its perimeter is 64m, then find the length and breadth of the rectangle.

The following is a table of values connecting the radii of a few circles and their circumferences (Taking \(\pi =\frac { 22 }{ 7 } \)) Illustrate the relation with a graph and find
(i) The radius when the circumference is 242 units.
(ii) The circumference when the radius is 24.5 units.

Rithika buys an LED TV which has a 25 inches screen. If its height is 7 inches, how wide is the screen? Her TV cabinet is 20 inches wide. Will the TV fit into the cabinet? Why?

I. Construct the following trapeziums with the given measures and also find their area.
1. AIMS with \(\overset { \_ \_ }{ AI } \) || \(\overset { \_ \_ }{ SM } \), AI = 6 cm, IM = 5 cm, AM = 9 cm and MS = 6.5 cm.
2. CUTE with \(\overset { \_ \_ }{ CD } \) || \(\overset { \_ \_ }{ ET } \), CU = 7 cm, ㄥUCE = 80⁰ CE = 6 cm and TE = 5 cm..
3. ARMY with \(\overset { \_ \_ }{ AR } \) || \(\overset { \_ \_ }{ YM } \), AR = 7 cm, RM = 6.5 cm ㄥRAY = 100⁰ and ㄥARM = 60⁰
4. CITY with \(\overset { \_ \_ }{ CI } \) || \(\overset { \_ \_ }{ YT } \), CI = 7 cm, IT = 5.5 cm, TY = 4 cm and YC = 6 cm.

I. Construct the following parallelograms with the given measurements and find their area.
1. ARTS, AR = 6 cm, RT = 5 cm and ㄥART = 70⁰. .
2. CAMP, CA = 6 cm, AP = 8 cm and CP = 5.5 cm.
3. EARN, ER = 10 cm, AN = 7 cm and ㄥEOA = 110° where \(\overset { \_ \_ }{ ER } \) and \(\overset { \_ \_ }{ AN } \) intersect at O.
4. GAIN, GA = 7.5 cm, GI = 9 cm and ㄥGAI = 100⁰.

Frame Additive cipher table (key = 4).

Using repeated subtracting method find HCF of the following:
280 and 420

Do the given problems by repeated subtraction method and verify the result.

When a number is decreased by 25% it becomes 120. Find the number.

The value of a motor cycle 2 years ago was Rs.70000. It depreciates at the rate of 4% p.a. Find its present value.

Graph the equation y = x + 1.
Begin by choosing a couple of values for x and y. It will firstly help to see
(i) what happens to y when x is zero and
(ii) what happens to x when y is zero.
After this we can go on to find one or two more values.
Let us find at least two more ordered pairs. For easy graphing, let us avoid fractional answers. We shall make suitable guesses.

Relation between Principal and Simple Interest:
A bank gives 10% simple interest on deposits made by Senior citizens. Illustrate by a graph the relation between the deposit and the interest gained. Use the graph to compute
(i) The annual interest obtainable for investment of Rs.450;
(ii) The amount a Senior citizen has to invest to get an annual simple interest of Rs.80.

Construct a parallelogram DUCK with DC = 8 cm, UK = 6 cm and ㄥDOU = 110⁰. Also find its area.

Construct a parallelogram BEAR with BE = 7 cm, BA = 7.5 cm and ㄥBEA = 80⁰. Also find its area.

Given that one pair of new born rabbits they produce a new pair each month and from the second month, each new pair can breed themselves. Find how many pairs of rabbits are bred from one pair in a year, and find the relationship between the number of months and the number of pairs of rabbits by tabulation (a pair means (a male and a female)).

Use Ceasar Cipher table set + 4 and to try to solve the given secret sentence.
fvieo mr gshiw ger fi xvmgoc

Construct a trapezium BOAT in which \(\overset { - }{ BO } \) is parallel to \(\overset { - }{ TA } \), BO = 7 cm, OA = 6 cm, BA = 10 cm and TA = 6 cm. Also find its area.

Construct a trapezium CARD in which \(\overset { \_ }{ CA } \) is parallel to \(\overset { \_ }{ DR} \), CA = 9 cm, ㄥCAR = 70, AR = 6 cm and CD = 7 cm. Also find its area.

Construct a trapezium DESK in which \(\overset { \_ \_ }{ DE } \) is parallel to \(\overset { \_ \_ }{ KS } \), DE = 8 cm, ES = 5.5 cm, KS = 5 cm and KD = 6 cm. Find also its area.