Maths Trick

Maths Skills

In entrance test of various competitive exams maths problems are most time taking. What if we get to do lengthy calculation just in our mind.. It won't only save time but also increase your efficiency of problem solving skills.

Clocks

CLOCKS

 

IMPORTANT FACTS

The Face or dial of a watch is a circle whose circumference is divided into 60 equal parts, called minute spaces. A clock has two hands, the smaller one is called the hour hand or short hand while the larger one is called the minute hand or long hand..

Percentage

x percent means x hundredths written as x%.

 

Formula:

1. If the price of a thing increases by X% , then the reduction in consumption so as not to increase the expenditure is 100*X/(100+X)%.


2. If the price of a thing decreases by X% , then the increases

Time and Work

Time & Work

IMPORTANT FACTS AND FORMULAE

1. If A can do a piece of work in n days, then A's 1 day's work = (1/n).

2. If A’s 1 day's work = (1/n),then A can finish the work in n days.

3. A is thrice as good a workman as B, then:

Indices

SURDS AND INDICES

IMPORTANT FORMULAE

1. LAWS OF INDICES:

(i) a^m x aⁿ = a^{m + n}

(ii) a^m_­ / aⁿ = a^{m - n}

(iii) ( a^m )ⁿ = a^mn

(iv) ( a b )ⁿ = aⁿbⁿ

Ratio

RATIO AND PROPORTION

I. RATIO: The ratio of two quantities a and b in the same units, is the fraction a/b and we write it as a:b.

In the ratio a:b, we call a as the first term or antecedent and b, the second term or consequent.

Logarithms

LOGARITHMS

IMPORTANT FACTS AND FORMULAE

I. Logarithm: If a is a positive real number, other than 1 and a^m = X, then we write:

m = log_a x and we say that the value of log x to the base a is m.

Profit & Loss

Cost Price:  The price at which article is purchased.


SELLING PRICE:   The price at which article is sold.

PROFIT OR GAIN:  If SP is more than CP,  The SELLING PRICE is said to have PROFIT or GAIN.