# Maths Questions

Maths is quite an abstract subject, and it can be rather intimidating at times. However, you can learn mathematics easily and effortlessly if you practice enough. To guide you in this endeavour, we have provided detailed solutions on many important concepts. The solutions are elaborated with simple, yet detailed explanations. Relevant formulas are listed out wherever required. Tips and shortcuts are provided to save precious time and effort.

Content is presented in a format which can be comprehended with ease. This means students will understand concepts without much hassle. From an exam perspective, a wide range of questions is covered from a plethora of subjects concepts from Trigonometry and Statistics to Calculus and Integrals.

Just like any other subject, mathematics can be better understood through exhaustive practice. Consider this analogy: a skill such as dancing or painting can only be perfected with enough practice. Similarly, the only way to get better at math is to keep practising. Moreover, we have a database of questions extracted from school textbooks and competitive exams. These will help the students to practice and perfect concepts in mathematics.

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Whole number starts from 0 (e.g.0,1,2,3,4…). Solution The first ten Whole numbers are 0, 1, 2, 3, 4,5,6,7,8,9. Calculation of mean of first...
We have to find the square root of 729 by prime factorisation method On factorizing 729 we get 729 = 3 × 3 × 3 × 3 × 3 × 3 On...
To find the square root of 841 by long division method we follow the steps given below: Step1: Group the digits in pairs, starting with the...
Let the three consecutive numbers be (x), (x+2) and (x+4) we can write x  + x + 2 + x + 4 = 147 On simplifying we get 3x+6=147 On rearranging...
The given fraction number = 17/6. We have to write it in decimal form On dividing 17 by 6 we get 17/6 = 2.8333 2.8333 is the decimal...
Odd numbers are the numbers that cannot be divided by 2 evenly. It cannot be divided into two separate integers evenly. An odd number is an...
The corresponding numbers mean that the numbers which are similar to them while the unit of the number may differ in every condition but the...
If n is a positive integer that is greater than x and a is a real number or a factor, then ax/n =n√ax Use the rule to convert 63/2 a = 6, x= 3...
sin (5∏/6) = sin (∏ - ∏/6) We know that sin (∏-x) = sin x sin (∏ - ∏/6)= sin (∏/6) = sin (∏/6) = sin...
sin(2x) = sinx =2sinxcosx - sinx = 0 =sinx(2cosx - 1) = 0 =sinx = 0 or cosx = 1/2 If sinx = 0, then x = kπ, k = 0, ±1, ±2,......
395 We know, (a-b) 2= a2-2ab+b2 395 = (400-5)2 = (400)2 + 52 – 2 (400) (5) = 160000 + 25 – 4000 = 156025...
We have to solve x3-1 x3-1 is in the form x3 - 13 It is in the form of identity (a3 – b3) = (a – b)(a2 + b2 + ab) x3 - 13= (x-1)...
sin(315)=sin(−45+360)=sin(−45)=sin(−45)=−sin(45) Trignometric table gives - > sin315=−sin45=−22...
By prime factorisation of 64, we get; 64 = 2 × 2 × 2 × 2 × 2 × 2 Pair the factors of 64 in a group of three, such...
A prime number is a positive integer having exactly two factors. If p is a prime, then it’s only factors are necessarily 1 and p itself....
We know that logb(1) = 0 b0 = 1 log7(1) = 0...
Answer: The set of all the outputs of a function is known as the range of the function. In other words, it is the set of y-values obtained by...
Let log81 = x =>8x= 1 = 80 => Hence x = 0...
We have to add 1/3 and 1/4 1/3 and 1/4 Will take LCM of 3 and 4 LCM of 3 and 4 is 12 1(4)/3(4) + 1(3) / 4(3) = 4+3/12 = 7/12...