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Lesson Posted on 05 Mar CBSE/Class 8/Maths Exam Coaching/Math Olympiad

Soumi Roy

I am an experienced, qualified tutor with over 5 years of experience in teaching maths and physics across...

1. ABCD is a parallelogram in which ∠A = 110°. Find the measure of each of the angles ∠B, ∠C and ∠D. 2. Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles? 3. Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure... read more

1. ABCD is a parallelogram in which ∠A = 110°. Find the measure of each of the angles ∠B, ∠C and ∠D.

2. Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles?

3. Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each of its angles.

4. Two adjacent angles of a parallelogram are (3x - 4)° and (3x + 16)°. Find the value of x and hence find the measure of each of its angles.

5. The sum of two opposite angles of a parallelogram is 130°. Find the measure of each of its angles.

6. Two sides of a parallelogram are in the ratio 5 : 3. If its perimeter is 64 cm, find the lengths of its sides.

7. The perimeter of a parallelogram is 140 cm. If one of the sides is longer than the other by 10 cm, find the length of each of its sides.

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Comments Lesson Posted on 06 Feb Exam Coaching/NTSE exam Coaching Exam Coaching/Math Olympiad

Find The Ratio AE: EC (Important For NTSE Olympiad)

Sujoy D.

1. Strong concept building classes. 2. Weekly tests in weak areas for students to improve their confidence. 3....

Question given below: Solution 1: Solution 2: Solution 3: Solution 4: Draw a line from D parallel to BE... read more

Question given below:

Solution 1:

Solution 2:

Solution 3:

Solution 4:

Draw a line from D parallel to BE cutting AC at P.

CDP and CBE are similar.

EP/EC = BD/BC = 3:5

Also, AFE and ADP are similar.

AE/EP = AD/FD = 2:1

Multiply both the equation from the top, so AE/EC = 6:5.

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Comments Answered on 16/09/2017 Exam Coaching/Math Olympiad

PRAMIT JANA

Tutor

1)3/13,2)4/13

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Answers 16 Comments Looking for Math Olympiad classes

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Lesson Posted on 28/06/2017 Tuition/Class VI-VIII Tuition Tuition/Class IX-X Tuition Tuition/Class VI-VIII Tuition/Mathematics

Padmini R.

I am an experienced, qualified teacher and tutor with over 15 years of experience in teaching Maths and...

Factorising: 1. Factorising - Expanding Bracket: This section shows you how to factorise and includes examples. Brackets should be expanded in the following ways:a. For an expression of the form a(b + c), the expanded version is ab + ac, i.e., multiply the term outside the bracket by everything... read more

1. Factorising - Expanding Bracket:

This section shows you how to factorise and includes examples.

Brackets should be expanded in the following ways:

a. For an expression of the form a(b + c), the expanded version is ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket (e.g. 2*x*(*x* + 3) = 2x² + 6x [remember x × x is x²]).

b. For an expression of the form (a + b)(c + d), the expanded version is ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Example:

Expand (2x + 3)(x - 1):

(2x + 3)(x - 1)

= 2x² - 2x + 3x - 3

= 2x² + x - 3

2. Factorising: Factorising is the reverse of expanding brackets, so it is, for example, putting 2x² + x - 3 into the form (2x + 3)(x - 1). This is an important way of solving quadratic equations.

The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x(x + 1) .

3. Factorising Quadratics: There is no simple method of factorising a quadratic expression, but with a little practise it becomes easier. One systematic method, however, is as follows:

Example:

Factorise 12y² - 20y + 3

= 12y² - 18y - 2y + 3 [here the 20y has been split up into two numbers whose multiple is 36. 36 was chosen because this is the product of 12 and 3, the other two numbers].

The first two terms, 12y² and -18y both divide by 6y, so 'take out' this factor of 6y.

6y(2y - 3) - 2y + 3 [we can do this because 6y(2y - 3) is the same as 12y² - 18y]

Now, make the last two expressions look like the expression in the bracket:

6y(2y - 3) -1(2y - 3)

The answer is (2y - 3)(6y - 1)

Example:

Factorise x² + 2x - 8

We need to split the 2x into two numbers which multiply to give -8. This has to be 4 and -2.

x² + 4x - 2x - 8

x(x + 4) - 2x - 8

x(x + 4)- 2(x + 4)

(x + 4)(x - 2)

Once you work out what is going on, this method makes factorising any expression easy. It is worth studying these examples further if you do not understand what is happening. Unfortunately, the only other method of factorising is by trial and error.

4. The Difference of Two Squares: If you are asked to factorise an expression which is one square number minus another, you can factorise it immediately. This is because a² - b² = (a + b)(a - b) .

Example:

Factorise 25 - x²

= (5 + x)(5 - x) [imagine that a = 5 and b = x]

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Comments Lesson Posted on 06/05/2017 Tuition/Class IX-X Tuition Exam Coaching/Math Olympiad

Shiva Chary

What is a polynomial... In general 'poly' means many and 'nomials' means terms. That means polynomial means having many terms. But this is not the definition, it's just the meaning of the word. Now we will define what is a polynomial, Before going to define, first we define what do we mean by an algebraic... read more

What is a polynomial... In general 'poly' means many and 'nomials' means terms. That means polynomial means having many terms. But this is not the definition, it's just the meaning of the word.

Now we will define what is a polynomial,

Before going to define, first we define what do we mean by an algebraic expression. It's an important word which we use in maths.

ALGEBRAIC EXPRESSION :

Its a mathematical statement which has combination of variables and constants connected by some or all the arithmetic operations like +,-,x, / etc.

Ex. x+2, y^2-2x+√x etc

**POLYNOMIALS:**

**It's an algebraic expression in which the powers of the variables are non negative integers(whole numbers).**

**Ex. x^2+2x^2.y^2-6 it is a polynomial **

** x^-2 +x-2 it is not a polynomial, because the power of the variable X is negative. **

******For an algebraic expression to be a polynomial

1.The exponent of the variable should be a whole number.

2.There should be no variable in the denominator.

3.A polynomial may contact in n any number of terms but it should have definite number of terms.

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Comments Lesson Posted on 05/02/2017 Tuition/Class I-V Tuition Tuition/Class VI-VIII Tuition Exam Coaching/Math Olympiad

Ipsita Chaudhury

I teach Maths through Cuemath Programme. Cuemath is a sophisticated after-school maths program designed...

Can your child solve this puzzle? What is the 4th number in the following series - 2B 9D 30F 93H ?

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Lesson Posted on 06/01/2017 Tuition/Class IX-X Tuition Tuition/Class VI-VIII Tuition Exam Coaching/Engineering Entrance Coaching/GATE Coaching

Ch 1- Mutliplication short tricks by Ashish Vastri..

Ashish Vastri

I am teaching Maths since 4 years and I have taught from Basics to advance mathematics. I am an avid...

1. HOW TO MUTLIPLY 2 digit number by 11? Example 1. 35 * 11 = 385 Step 1. Add both digits of the two digit number. 3+5 = 8. Step 2. Place the result in between both the digits. 3_8_5 = 385 Example 2. 78 * 11 = 858 Step 1. Add both digits of the two digit number. 7... read more

**1.** HOW TO MUTLIPLY 2 digit number by 11?

**Example 1. 35** * 11 = 385

**Step 1. **Add both digits of the two digit number.

*3+5 = 8.*

**Step 2. **Place the result in between both the digits.

*3_ 8_5 = 385*

**Example 2. *** 78 ** 11 = 858

**Step 1. **Add both digits of the two digit number.

*7 + 8 = 15*

**Step 2. **Carry "1" when result is greater than 9, and add it to the preceding digit.

*7 + 1 = *

**Step 3.** Place the result in between both the digits...

*8_ 5_8 = 858*

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Comments Lesson Posted on 04/11/2016 Tuition/Class I-V Tuition Tuition/Class I-V Tuition/Mathematics Tuition/Class IX-X Tuition

Roja Reddy B.

I am very good at interacting with the people and understand their doubts and try to solve them. I am...

I suggest a writing tip called OAA which means Observe Analyse and Apply. one will find it easy to answer any question if you follow this trip

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Comments Lesson Posted on 03/11/2016 Exam Coaching/Math Olympiad

the way of approach is behind u

Dilip Reddy Rondla

my tip that start ur learning frm ur defects and it will give u more power to become the winner

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Lesson Posted on 06/09/2016 Tuition/BBA Tuition Tuition/BCA Tuition Tuition/Class XI-XII Tuition (PUC)

Maths Classes Tuition Teacher BBA BCA IB ISC IGCSE Advance Mathematis

Manibhushan Kumar

I have 15 years of experience in Maths and Stats.I have started teaching 1 year after completing my graduate...

Math Tutoring Success Students spend 50% of their waking hours at school or doing homework, and something that occupies such a large amount of time inevitably plays a big role in their happiness. School is tough - there are social, emotional, and academic challenges. Ultimately, the end goal of a Math... read more

Students spend 50% of their waking hours at school or doing homework, and something that occupies such a large amount of time inevitably plays a big role in their happiness. School is tough - there are social, emotional, and academic challenges. Ultimately, the end goal of a Math Class Tutoring program is improved performance in math, whether it is basic arithmetic in elementary school, pre-algebra in middle school, or a trigonometry class in high school. Each of those improvements is easily measurable - an A on quiz, an outstanding test, or a math grade worthy of the refrigerator door.

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