DATA ANALYSIS (TABLES)
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Ratio and Proportions
RATIO AND PROPORTIONS The number of times one quantity contains another quantity of the same kind is called the Ratio of the two quantities. The ratio 2 to 3 is written as 2:3 or . 2 and 3 are called the terms of the ratio. 2 is the first terms (is also called antecedent) and 3 is the second term (is also called consequent). COMPOUND RATIO Ratios are compounded by multiplying together the antecedents for a new antecedent, and the consequents for a new consequent. a x c x e · Ratios a:b,c:d, and e:f Compounded of the four ratios :------------ b x d x f a. Find the ratio compounded of the four ratios: 4:3, 9:13, 26:5 and 2:15
HCF and LCM
HCF means Highest Common Factor: HCF of two or more numbers is the greatest number that divides each of them exactly. We are going to practice question like first simple, little bit tuff and more tuff. Tuff means the question takes more time for calculation that’s it ok. I will give some tips for quicker calculation methods also. Ex. 1 Find the HCF of 42 and 70 42 = 2x3x7 70 = 2x5x7 HCF = 2x7=14 Quicker method 70 - 42 =28 42 -28=14 28-14=14 14-14=0 HCF =14 Ex. 2 Find the HCF of 1365,1560 and 1755 1365=3x5x7x13 1560=2x2x2x3x5x13 1755=3x3x3x5x13 HCF=3x5x13=195 in this method we have to spend little bit more time Quicker method 1560-1365=195 1755-1560=195 HCF = 195 HCF of decimals Rule first make (if necessary) the same number of decimal places in all g
CUBE
Cubes of large numbers are rarely used. Here we are going to practice two-digit number.. First we have remember the cubes up to 10 1 3 = 1 2 3 = 8 3 3 = 27 4 3 = 64 5 3 = 125 6 3 = 216 7 3 = 343 8 3 = 512 9 3 = 729 10 3 = 1000 If two digit number starts with 1 like 11 12 13 14 15 16 17 18 19 to calculate the cubes of these Ex 1. 1 2 3 = Step I: 1 2 4 8 (double the previous ones) ( 2x2=4 and 4x2=8) Step II: 4 8 (Step I middle numbers multiply with 2) (2x2=4 and 4x2=8) ADD Step I and Step II 1 2 4 8 4 8 __________ 1 7 2 8 answer Ex 2. 1 6 3 = Step I: 1 6 36 216 (double the prev