### MATHEMATICS CLASS 10 SEE HIGH PRIORITY QUESTIONS

# **Group A **

## 1 A.

- 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.
- 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
- 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.
- Write the formula for finding the rate of discount when the discounted amount and marked price are given.
- Write down the definition of value-added tax (VAT)?

## B.

- What is the area of an equilateral triangle whose side is ‘a’ unit?
- If the three sides of a triangle are a,b, and c respectively, what is the semi-perimeter of the triangle? Write it.
- The base of an isosceles triangle is b cm and equal sides are a cm. What is the area of the triangle?
- 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.
- 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.

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

## 2 B.

- 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 |

- Write the formula to find the value of lower. Quartile $Q_{1}$ of a continuous data.
- 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)
- Write the formula to find the value of the upper quartile $Q_{3}$ of continuous data.
- Write the formula for finding the median of a continuous series.

## 3 A.

- What is the relation between the area of a parallelogram and triangle standing on the same base and between the same parallel? Write it.
- Write the relationship between the area of a rectangle and a triangle standing on the same base and between the same parallel lines.
- 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.

- 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)

- 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,
- How many American dollars can be exchanged with NR 57, 376?
- How many Nepali rupees can you exchange for $500?
- After a 10% devaluation of Nepali money, $2000 can be exchanged for Rs 231000. Find the initial exchange rate.
- If $100 = £68 and Rs 155 = £1, how many dollars. will be equal to Rs 3,16,200?
- 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.
- How many times Rs 1500 is valued including 15% VAT on Rs 15,000?