How to Make Mathematics More Interesting?
Math can often times be one of the more boring subjects for children to learn when they are young, which can greatly affect their learning abilities later in life. A person may find math to be boring or difficult because they didn't develop an interest for it early in life. By finding ways to make math fun, children will be more inclined to learn and may actually enjoy the process.
Fun in the Kitchen
There are a ton of different ways to make mathematics fun, a lot of which start in the kitchen. Cooking is the perfect time to show kids that math can not only be useful but fun as well. The typical way to teach children fractions usually involves a pizza or a pie, but instead of explaining to them how fractions work, show them. Have your child be the chef for the day and tell them that they need to put different toppings on the pizza depending on the fraction. For example, tell them only 1/2 of the pizza should be plain, 1/4 should have pepperoni, and the other 1/4 should have sausage. By giving them a visual, it will enable them to understand fractions better. Fractions can also be taught using measuring spoons. Whether baking something or putting together a meal for dinner, measuring cups and spoons are another great visual for them to understand fractions. They will see that 1 cup is a lot bigger than 1/4 cup and that 1/3 cup is actually bigger than 1/4 cup.
This is a guest post by Sudeep Shukla
The statement- "When x is divided by z, it leaves y as the remainder." is represented in modular arithmetic as-
It can also be interpreted as "x and y leave the same remainder when divided by z." This is also known as the congruence relation and we can say that "x is congruent to y modulo z."
There is a property of this relation which is very useful.
Tricks for fast calculation by 5
It is a simple trick which is very intuitive and easy to understand. Many QuickerMaths.com followers might find it very simple. However, there are many who will enjoy this simple yet readily usable trick to multiply any number by five.
1. Multiplying 5 times an even number: halve the number you are multiplying by and place a zero after the number.
i. 5 * 136, half of 136 is 68, add a zero for an answer of 680.
ii. 5 * 874, half of 874 is 437; add a zero for an answer of 4370.
Traditionally, multiplication of multiple digit numbers is done as a series of multiplications that are eventually added together to form a final answer. The criss-cross method is a variation on this technique that allows for much quicker processing of the problem without the need for a calculator or extensive use of paper space. There are many situations, such as trips to the grocery store, where you will find a need to perform multiplication of odd numbers in order to stay within a budget as you shop.
This system of multiplication is adopted from Vedic Mathematics' URDHVA-TIRYAK SUTRA, which means vertically and cross-wise.
To start with, we will look at a simple example just to get a grasp on the steps involved in the method. Later we will apply it to a slightly more advanced problem to show how to handle carrying numbers from one digit to the next. For now, we will multiply 111 by 111.
In CAT, MAT and other Competitive examinations like Bank PO, etc. you get questions where you need to find the last digit of numbers raised to large powers. It's almost impossible to calculate the values of such numbers manually and hence to find digit at their unit's place. Such problems can be solved using the concept commonly known as Cyclicity of Numbers. Here in this post I am explaining in details the concept of cyclicity and how it should be used for solving such problems.
Finding Last Digit of Any Number Raised to Any Power
Puzzles are not always about answering a question. Sometimes it is also about asking a question. Try asking the right question to solve this problem.
You are in a room with 2 doors. Behind 1 door is a coffer overflowing with jewels and gold, along with an exit. Behind the other door is an huge, hungry lion that will pounce on anyone opening the door. You have no clue which door leads to the treasure and exit, and which door leads to the lion.
Squaring any number ending in 9
We can easily calculate the square of any number ending in 9 using the method described in this post. Let us understand this method with the help of an example –
Finding the square of 39
Firstly add 1 to the number. The number now ends in zero and is easy to square.
40^2 = (4*4*10*10) = 1600. This is our subtotal.
In the next step, add 40 plus 39 (the number we squared plus the number we want to square)
Today I am going to share with you a special memory trick for trigonometry, mailed to me by Debasis Basak – a young Class IX follower of QuickerMaths.com
By this method we can find out Sines and Cosines of different angles. It just requires your hand. Let’s understand this trick step by step -
First mark the angles of 0, 30, 45, 60, and 90 on little, ring, middle and pointer finger and thumb of your left hand.
On the palm of your left hand write the equation (x)^1/2 /2 or square root of x/2
In all the competitive examinations, ‘Quantitative Aptitude’ or ‘Quants’ is an important and inevitable section in the question paper. If attempted with full confidence, high speed and good accuracy, it fetches you high marks. Nothing can be more scoring than maths. However, most of the candidates are scared of mathematics. Even if they know the correct method they make blunders during examinations as they are not confident because of weak basic fundamental knowledge. This phobia for mathematics can be easily terminated, with the help of some magical books written by great authors. These books do not only help you to increase your confidence level but also help you to fall in love with maths. Along with other benefits, these books improve the calculation speed tremendously. Find below the list of the most trusted and popular books on Quicker Maths.
Finding the ratio of areas or volumes given the length of a side of a 2 or 3 dimensional figure was always a time consuming task. With the help of the knowledge you are going to acquire now, this will be a simple and quick task.
In any two dimensional figure, if the corresponding sides are in the ratio a:b, then their areas are in the ratio a2:b2
Two dimensional figures can be any polygon like square, rectangle, rhombus, trapezium, hexagon, etc. It can also be a triangle or a circle. The sides, referred in the statement above, can be length, breadth or even diagonal in case of a polygon. In case of a circle the sides will be represented by radius or diameter or circumference. In triangle it can be sides or height of a triangle.