  # Group A

## 1 A.

1. If the initial population of any place is P and the annual growth rate is R% pa then what is the population of that place after T years? Write it.
2. If the initial price of an article is Rs Y and the annual rate of compound depreciation is R% then what will be the price of an article after T years? Write it
3. If the marked price of an article is Rs x, the discount amount is Rs y and the VAT amount is Rs. z then what is the selling price of the article including VAT? Find it.
4. Write the formula for finding the rate of discount when the discounted amount and marked price are given.
5. Write down the definition of value-added tax (VAT)?

## B.

1. What is the area of an equilateral triangle whose side is ‘a’ unit?
2. If the three sides of a triangle are a,b, and c respectively, what is the semi-perimeter of the triangle? Write it.
3. The base of an isosceles triangle is b cm and equal sides are a cm. What is the area of the triangle?
4. What is the total surface area of a square-based pyramid having a side of base p cm and slant height q cm write it.
5. If the area of a triangle is $S\sqrt{(s-a)(s-b)(s-c)}$ then what is the value of s? Write it.

## 2 A.

1. In which condition $\sqrt[m]{P}$ and $\sqrt[m]{q}$Are they like surds? Write it
2. What does n represent in the surd $\sqrt[n]{p}$? Write it.
3. Simplify: $x^{a-b}xx^{b-a}$
4. Find out the value of x if $\sqrt{x}= 9$
5.  Define LCM

## 2 B.

1. In the following data in which series does median line?
 x 20-30 30-40 40-50 50-60 60-70 c.f 16 36 61 77 80
1. Write the formula to find the value of lower. Quartile $Q_{1}$ of a continuous data.
2. If the lowers limit o the median class of any data is frequency of that class is f, class interval 1, sum of the frequencies N and the cumulative frequency at pre-median class is cf then write the formula for finding the median (Md)
3. Write the formula to find the value of the upper quartile $Q_{3}$ of continuous data.
4. Write the formula for finding the median of a continuous series.

## 3 A.

1. What is the relation between the area of a parallelogram and triangle standing on the same base and between the same parallel? Write it.
2. Write the relationship between the area of a rectangle and a triangle standing on the same base and between the same parallel lines.
3. In the given figure write the relation between areas of triangle ABC and square ABPQ d. From the given figure write the relation between areas of $\Delta$ ABC and $\Delta$ABD e. Write the relationship between the parallelogram ABCD and MNOP standing on the same base and between the same parallel lines.

## 3 B.

1. In the given figure O is the center of the circle. What is the value of x? b. In the adjoining figure, O is the center of a circle. If ∢NMP = $x^{o}$, find the value of ∢NOP. c. In the given figure, O is the center of the circle then what is the value of ∢XYZ? Write it d. In the given figure, O is the center of the circle If ∢ABC = $120^{o}$ what is the size of the reflex ∢AOC? Write it. e. In the given figure find the value of x GROUP B

# For question number 4(a)

1. According to the money exchange rate of Nepal Rastra bank, the  purchasing and selling rate of 1 American dollar is NRs 103. 72 and NRs 104.32 respectively,
2. How many American dollars can be exchanged with NR 57, 376?
3. How many Nepali rupees can you exchange for $500? 4. After a 10% devaluation of Nepali money,$2000 can be exchanged for Rs 231000. Find the initial exchange rate.
5. If \$100 = £68 and Rs 155 = £1, how many dollars. will be equal to Rs 3,16,200?
6. If a tourist paid Rs 5085 for a carved window made up of wood with a discount of Rs 500 including 13%, value-added tax (VAT), how much does he get while leaving Nepal? Find it.
7. How many times Rs 1500 is valued including 15% VAT on Rs 15,000?