Find the sum of the odd natural numbers 1 + 3 + 5 + 7 + ... ... ... + 99.

Examine if (8, 15, 17) is a Pythagorean triplet

Find the square root of 324 by prime factorisation

Find the least number by which 250 is to be multiplied (or) divided so that the resulting number is a perfect square. Also, find the square root in that case

Is 400 a perfect cube?

Find the cube root of 27000.

A mat of length 180 m is made by 15 women in 12 days. How long will it take for 32 women to make a mat of length 512 m?

If 48 men working 7 hours a day can do a work in 24 days, then in how many days will 28 men working 8 hours a day can complete the same work?

6 women or 8 men can construct a room in 86 days. How long will it take for 7 women and 5 men to do the same type of room?

A works 3 times as fast as B and is able to complete a task in 24 days less than the days taken by B. Find the time in which they can complete the work together.

A and B can do a piece of work in 12 days and 9 days respectively. They work on alternate days starting with A on the first day. In how many days will the work be completed?

In the figure, ABC is a triangle and AM is one of its medians. If BM = 3.5 cm, find the length of the side BC.

In the figure G is the centroid of the triangle XYZ.
(i) If GL = 2.5 cm, find the length XL.
(ii) If YM = 9.3 cm, find the length GM.

XYZ is a triangle and G is its centroid. If GP = 2.5 cm, GY = 6 cm and ZR = 12 cm, find XP, QY and GR.

Draw a pie diagram to represent the following data, which shows the expenditure of paddy cultivation in 2 acres of land.

Particulars	Seeds	Ploughing	Wages	Fertilizer	Harvest	Others
Expenses (Rs)	2000	6000	10000	7000	8000	3000

Also,
1. Find the percentage of the head in which he had spent more?
2. What percentage of money was spent for seeds?