Compound Interest

1. Find the amount and compound interest on Rs.10,000 for 2 years at 10% per annum?

2. Determine the rate of interest for a sum that becomes 1.21 times of itself in 2 yearscompounded annually?

3. Find the principal, if the compound interest compounded annually at the rate of 10%per annum for three years is Rs.331?

4. The simple interest on a sum of money in 2 years at 14% per annum is Rs.3500. Find the corresponding compound interest for 2 years.

5. In how many years will a sum of Rs.1000 compounded at the rate of 10% per annum will amount to Rs.1464.10?

Answers Compound Interest

1. Amount = Rs.12100 and CI = Rs.2100

2. R = 10% per annum

3. Rs.1000

4. Rs.3745

5. 4 years

Heights and Distances1. The string of a kite is 100 meters long and it makes an angle of 30 degrees with

the ground. What is the height of the kite?

2. An observer 1.5 meter tall is 28.5 meters away from a tower. The angle of elevation of the top of the tower is 45 degrees. What is the height of the tower?

3. A tree 12 meter high is broken by the wind in such a way that the top of the treenow touches the ground at an angle of 45 degrees. At what height from the ground did the tree break?

4. At a point on the ground the angle of elevation of a vertical tower is found to be such that its tangent is 5/12. on walking 192 meters the tangent of angle of elevation is 3/4. What is the height of the tower?

5. The angle of elevation of a ladder is 60 degrees to the wall. The foot of the ladder is 9.5 meters away. What is the length of the ladder?

Answers Height and Distances

1. 50 meters2. 30 meters3. 4.8 meters4. 180 meters5. 19 meters

Quadratic Equations (just make the equations)

1. A piece of cloth costs Rs.35. If the piece were 4m longer and the cost of each meter Re.1 less, the cost would remain unchanger. How long is the piece?

2, The hypotenuse of a right angled triangle is 6 meters more than twice the shortest side. If the third side is 2 meters less than the hypotenuse, find the sides of the triangle?

3. A farmer has a 100 sq meter rectangular garden. He has only 30 meters of barbed wire so he fences 3 sides and lets the compound wall of his house act as the fourth side fence. What is the dimensions of his garden?

4.A chess board contains 64 equal squares and the area of each square is 6.25 sq cm. A border around the board is 2 cm wide. What is the length of the side of the chess board?

(please find the answer in this one)

5. Sum of the areas of two squares is 468 sq meter. If the difference of the perimeter is 24 meter, find the sides of the two squares?

Answers Quadratic Equations

1. 10 m 2. 10 m, 24 m, 26 m3. 5m and 20m4. 24 cm5. 18m and 12 m