Mathematics

Write the set of the students who did not like any of these two subjects in the cardinality notation.

Present the given information in a Venn diagram assuming x for the number of students who liked both subjects.

Find the number of students who liked exactly one subject.

If 30 students did not like any of these two subjects, what will be the effect in the number of students who liked both subjects? Find it.

Write the formula to calculate annually compound interest.

How much interest does Aashlal receive in 2 years? Find it.

If the bank provides yearly compound interest for the same rate and the same period of time, how much would be profit or loss for him? Find it.

Find the population of the village after one year.

If nobody migrated in the second year, what would be the population of the village after 2 years? Find it.

If nobody migrated in the first year, what would be the difference in population growth in 2 years? Find it.

What is called currency exchange? Write it.

How many Nepali rupees can be exchanged with American dollars ($) 1500 before devaluation? Find it.

After devaluation, how many American dollars can be exchanged with NRs. 7,08,033? Find it.

Write the relation of HD and EF.

Find the value of EF.

Find the total surface area of the pyramid.

Write the formula to calculate the volume of the solid object.

What is the volume of hemispherical part? Find it.

Compare between the volume of cylinder and hemisphere.

The water containing in full tank is enough for 20 families distributed equally for one month. How much cost of water should one family have to pay in one year? Find it.

If length, breadth and height of the tank is increased by 1 m, by how many times is the capacity of the tank increased? Find it.

In which sequence is the child learning words? Write it.

How many words does the child learn up to 8 days? Find it using formula.

In how many days will the child learn 6141 words? Find it.

If one's place digit be y and ten's place digit is x, write the two digit number in algebraic form.

Make a quadratic equation in terms of x according to the given conditions.

Find the number.

Simplify: $\frac{1}{b-1} - \frac{1}{b+1}$

Solve: $7^x + 7^{-x} = 7\frac{1}{7}$

Write the relation between the areas of triangle APQ and triangle BPQ.

If the perpendicular distance between AB and PQ is 8 cm and AB = 10 cm, find the area of $\triangle APB$.

Construct the quadrilateral PQRS and then construct a triangle which is equal to the quadrilateral in area.

Why are the areas of triangle and quadrilateral so constructed equal? Give reason.

What is the relation between inscribed angles standing on the same arc of a circle? Write it.

If inscribed angle BAC = 35°, find the value of $\angle BOC$.

If arc BDC and arc ACD are equal, prove that: AB // CD

Verify experimentally that $\angle BAC$ and $\angle BDC$ are supplementary. (Two circles having at least 3 cm radii are necessary.)

What is the name of the angle found when Himali observed at the top of the school building according to the given context? Write it.

Sketch the figure from the above context.

Find the height of the school building.

How many meter should Himali have to walk nearer or farther from that place to make the angle of the top of the building to be 60°? Give reason.

What does c.f. denote in the first quartile ($Q_1$)? Write it.

Calculate the mean of the given data.

Find the median of the given data.

Find the percentage of the number of students who obtained more marks than median class.

Write the multiplicative law of probability.

Show the probability of all possible outcomes of getting and not getting face cards in a tree diagram.

Calculate the probability of getting both face cards.

Compare between the probability of getting both face cards and the probability of not getting both face cards.