Welcome to Mathmatics Universe: For Class V To XII

BODMAS-                            1-The letter B is telling you to do the brackets first                             2-The letters DM represent division and multiplication                            3-  The letters AS represent addition and subtraction      1 .      ( )                  Brackets      2.  ÷  and  x            Left to right     3.  + and  --            Left to right         

Divisibility by 2 First, take any even number (for this example it will be 376) and note the last digit in the number, discarding the other digits. Then take that digit (6) while ignoring the rest of the number and determine if it is divisible by 2. If it is divisible by 2, then the original number is divisible by 2. Example 376 (The original number) 37   6  (Take the last digit) 6 ÷ 2 = 3 (Check to see if the last digit is divisible by 2) 376 ÷ 2 = 188 (If the last digit is divisible by 2, then the whole number is divisible by 2) Divisibility by 3 First, take any number (for this example it will be 492) and add together each digit in the number (4 + 9 + 2 = 15). Then take that sum (15) and determine if it is divisible by 3. The original number is divisible by 3 if and only if the final number is divisible by 3. If a number is a multiplication of 3 consecutive numbers then that number is always divisible by 3. This is useful for when the number takes the ...

UNIT -    You should be familiar with the following units:              Length: mm, cm, m, km             Area: mm2, cm2, m2, ha, km2             Volume: mm3, cm3, m3             Capacity: ml, cl, l             Mass: g, kg        To convert from smaller to larger units we divide by the conversion factor.       To convert from larger to smaller units we multiply by the  conversion factor LENGTH-                     The perimeter of a figure is the measurement of the distance                      around its boundary.                      For a polygon the perimeter is the sum of the lengths of all ...

                                                              ALGEBRA FORMULA 1. (a + b)2 = a2 + 2ab + b2; a2 + b2 = (a+b)2 −2ab 2. (a − b)2 = a2 − 2ab + b2; a2 + b2 = (a−b)2 + 2ab 3. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) 4. (a + b)3 = a3 + b3 + 3ab(a + b); a3 + b3 = (a+b)3 −3ab(a + b) 5. (a − b)3 = a3 − b3 − 3ab(a − b); a3 − b3 = (a−b)3 + 3ab(a − b) 6. a2 − b2 = (a+b)(a − b) 7. a3 − b3 = (a−b)(a2 + ab + b2) 8. a3 + b3 = (a+b)(a2 − ab + b2) 9. an − bn = (a−b)(an−1 + an−2b + an−3b2 + +bn−1) 10. an = a:a:a : : : n times