Model paper Revision set -02 for Sainik School+ RMS Entrance Exam 2016

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Important Maths Formula

SAINIK SCHOOL CLASS VI ENTRANCE FORMULAE LIST (CHAPTERWISE)

 NUMBER SYSTEM

TEST OF DIVISIBILITY

·         For a number to be divisible by 2, the number should end with 0,2,4,6 or 8.

·         For a number to be divisible by 3, the sum of all the digits of the number should be divisible by 3.

·         For a number to be divislble by 4, the last two digits of the number must be divisible by 4.

·         For a number to be divisible by 5, the number should end with 0 or 5.

·         For a number to be divisible by 6, the number should be divisible by 2 and 3.

·         For a number to be divisible by 8, the last three digits of the number should be divisible by 8 or the number should be divisible by 2 and 4.

·         For a number to be divisible by 9, the sum of all the digits of the number should be divisible by 9.

·         For a number to be divisible by 10, the number should end with 0(zero).

·         For a number to be divisible by 11, the difference between the sum of alternate digits of the given number must be 0 or 11.

BODMAS

For any problem having more than one arithmetic signs, the following order should be followed while solving:

·         B – Bracket

·         O – Of

·         D – Division

·         M – Multiplication

·         A – Addition

·         S – Subtraction

PERCENT = Percent means out of 100

PROFIT AND LOSS

When the selling price is more than the cost price, it is a profit.

When the cost price is more than the selling price, it is a loss.

·         Profit = Selling Price – Cost Price

·         Loss = Cost Price – Selling Price

·         Profit % =

·         Loss % =

·         When profit%, SP are given, CP =

·         When profit%, CP are given, SP =

·         When loss%, SP are given, CP =

·         When loss%, CP are given, SP =

SIMPLE INTEREST

·         SI =

Where P = Principal

                N = No of years

                R = Rate of interest

                SI = Simple Interest

·         A = P + SI

Where A = Amount

To find    N =   SI X 100 / P x R

To find    R =   SI X 100 / P x N

AVERAGE

·         Average/Mean =

MENSURATION

FIGURE	AREA	PERIMETER
SQUARE	Side x Side	4 x Side
RECTANGLE	Length x Breadth	2(Length + Breadth)
TRIANGLE	½ x Base x Height	Side + Side + Side
CIRCLE	∏ x Radius2	2∏ x Radius

FIGURE	VOLUME
CUBE	Side x Side x Side
CUBOID	Length x Breadth x Height

FIGURE	VOLUME
CUBE	6 x Side x Side
CUBOID	2 x [(LB) + (BH) + (LH)]

CONVERSIONS

DISTANCE

10 MILLIMETRE = 1 CENTIMETRE

10 CENTIMETRE = 1 DECIMETRE

10 DECIMETRE = 1 METRE

10 METRE = 1 DECAMETRE

10 DECAMETRE = 1 HECTAMETRE

10 HECTAMETRE = 1 KILOMETRE 

TIME

1 DAY = 24 HOURS

1 HOUR = 60 MINUTES

1 MINUTE = 60 SECONDS

1 DAY = 24 X 60 X 60 = 86,400 SECONDS

Distance = Speed x Time

Or Speed = Distance / Time

OR Time = Distance/ Speed

To convert km / h into meters per sec

First convert the Km into M by multiplying it with 1000 m (  1km = 1000 m)

And 1 hours= 60 x60 seconds

So 54 km /h when converted into m/s

54 x 5 / 18 =  3 x 5 = 15 m/ s

And while converting m/s in to km/ hr

m/s x 18 / 5 gives km / hr

Converting of Centigrade into Fahrenheit       

C x  9/5   + 32 = Degree F

F into C

F-32 x  5/9 =  ___ Degree C

IMPORTANT

Before you start calculating any area/ volume/ perimeter

See that the values are in the same unit

Is. In length is given in M and Height is given in cm. Then convert all the either cm or m

In Simple Interest calculation See that the number of months / days are converted into Years.

Leap year has 29 days in Feb

When calculating for months take 30 days as a month