Rewrite each underlined part using percentage language.
(i) One half of the cake is distributed to the children.
(ii) Aparna scored 7.5 points out of 10 in a competition.
(iii) The statue was made of pure silver.
(iv) 48 out of 50 students participated in sports.
(v) Only 2 persons out of 3 will be selected in the interview.

A bank pays Rs. 240 as interest for 2 years for a sum of Rs. 3000 deposited as savings. Find the rate of interest given by the bank.

If a car is sold for Rs. 200000 from its original price of Rs. 300000, find the percentage for decrease in the value of the car.

By selling a speaker for Rs. 768, a man loses 20%. In order to gain 20% how much should he sell the speaker?

If a mattress is marked for Rs.7500 and is available at two successive discounts of 10% and 20%, find the amount to be paid by the customer

Find the compound interest for 2 \(\frac { 1 }{ 2 } \) years on Rs.4000 at 10% p.a if the interest is compounded yearly.

At what rate percentage p.a will Rs.5625 amount to Rs.6084 in 2 years at compound interest?

Find the rate of interest if the difference between C.I and S.I on Rs.8000 compounded annually for 2 years is Rs.20.

Nanda’s marks in 3 Math tests T1, T2 and T3 were 38 out of 40, 27 out of 30 and 48 out of 50. In which test did he do well? Find his overall percentage in all the 3 tests.

P’s income is 25% more than that of Q. By what percentage is Q’s income less than P’s?

Vaidegi sold two sarees for Rs.2200 each. On one she gains 10% and on the other she loses 12%. Calculate her gain or loss percentage in the sales of the sarees

The sum of three consecutive odd numbers is 75. Which is the largest among them?

If a train runs at 60 km/hr it reaches its destination late by 15 minutes. But, if it runs at 85 kmph it is late by only 4 minutes. Find the distance to be covered by the train.

If the points P(5, 3) Q(−3, 3) R(−3, −4) and S form a rectangle, then find the coordinate of S.

Find the point of intersection of the line joining points (−3, 7) (2, −4) and (4,6) (−5,−7). Also find the point of intersection of these lines and also their intersection with the axis.

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.

Radius (r)	Circumference (2πr)
7	2 x \(\frac { 22 }{ 7 } \) x 7=44
14	2 x \(\frac { 22 }{ 7 } \) x 14=88
21	2 x \(\frac { 22 }{ 7 } \) x 21=132
28	2 x \(\frac { 22 }{ 7 } \) x 28=176
35	2 x \(\frac { 22 }{ 7 } \) x 35=220
42	2 x \(\frac { 22 }{ 7 } \) x 42=264
49	2 x \(\frac { 22 }{ 7 } \) x 49=308

Two equal sides of an isosceles triangle are 5y−2 and 4y+9 units. The third side is 2y+5 units. Find ῾y᾿ and the perimeter of the triangle.

Draw the graph of the lines y = x, y = 2x, y = 3x and y = 5x on the same graph sheet. Is there anything special that you find in these graphs?

An isosceles triangle has equal sides each 13 cm and a base 24 cm in length. Find its height.

The sides of a triangle are 1.2 cm, 3.5 cm and 3.7 cm. Is this triangle a right triangle? If so, which side is the hypotenuse?

If ∆ APK is an isosceles right angled triangle, right angled at K. Prove that AP² = 2AK².

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

Decode the given Pigpen Cipher text and compare your answer to get the Activity 3 result.

The room number in which the treasure took place
 \(\sqcap \sqcup \)
II. Place of the treasure:-
 
III. The name of the treasure:-

Using repeated subtracting method find HCF of the following:
36 and 80

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