Questions
Simplify: $\rm \frac {1}{x - y} - \frac {y}{xy + y^2}$
The present age of father is 50 years and the age of his daughter is 13 years.
- What were the ages of father and his daughter before x years? Write it.
- How many years before, the numerical product of their ages was 360? Calculate it by forming quadratic equation.
- Does the product of their ages after 12 years, a perfect square? Give reason.
A student bought a Nepali dictionary from the Sajha Pustak Bhandar. He decided to learn new words in arithmetic sequence every day. On the first day he learned 20 new words and on the fifth day 40 new words.
- How many terms are there in an arithmetic sequence having five means?
- How many new words did he learn in the succeeding day? Find it.
- How many new words will he learn till tenth day? Find it.
The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Tiles of length 25 cm, breadth 20 cm and height 5 mm are paved on the floor of the room.
- How much cost of carpeting is required in the room at the rate of Rs. 250 per sq.m? Find it.
- How many maximum numbers of tiles can be paved on the floor? Find it.
The value of 'g' is greater at the poles of the earth than at the equator. Explain this statement.
The value of 'g' varies from place to place on the earth. Explain this statement.
If 1 kg and 10 kg spherical metallic balls are dropped from the same height on the moon then, they reach the ground at the same time. Explain.
A stone released from our hands falls towards the earth. Why?
The gravitational constant is a universal constant. Give reason.
In the figure, a conical object with slant height 25 cm and a hemispherical object with radius of 7 cm is composed to make a solid object.
- What type of triangle is formed when the vertical height of the cone is drawn in the given figure? Write it.
- What will be the total cost to paint the solid at the rate of 25 paisa per square centimeter? Find it.
- What is the volume of the solid object? Find it.