Form 3 Mathematics
Three quantities R, S, and T are such that varies directly as S and inversely as the square if T.
a) Given that R=480 when S=150 and T = 5, write an equation connecting R, S and T. b)(i)find the value of R when S = 360 and T = 1.5. (ii) Find the percentage change in R if S increases by 5% and T decreases by 20%.
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Form 3 Mathematics
Three quantities P, Q and R are such that P varies directly as Q and inversely as the square root of R. When P = 8, Q = 10 and R = 16. Determine the
equation connecting P, Q and R.
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Form 3 Mathematics
Two quantities P and r are connected by the equation p = krn. The table of values of P and r is given below
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Form 3 Mathematics
The mass of a wire m grams (g) is partly a constant and partly varies as the square of its thickness t mm. when t= 2 mm, m= 40g and when t=3 mm, m = 65g
Determine the value of m when t = 4 mm.
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Form 3 Mathematics
A quantity P is partly constant and partly varies inversely as a quantity q. Given that P=10 when p = 20 when q = 1.25, find the value of p when q = 0.5.
Answer
Form 3 Mathematics
Three variables p, q and r are such that p varies directly as q and inversely as the square of r.
(a) When p=9, q=12 and r = 2. Find p when q= 15 and r =5 (b) Express q in terms of p and r. (c) If p is increased by 10% and r is decreased by 10%, find; (i) A simplified expression for the change in q in terms of p and r (ii) The percentage change in q.
answers
Form 3 Mathematics
Given that y is inversely proportional to xn and k as the constant of proportionality;
(a) (i) Write down a formula connecting y, x, n and k (ii) If x = 2 when y = 12 and x = 4 when y = 3, write down two expressions for k in terms of n. Hence, find the value of n and k. (b) Using the value of n obtained in (a) (ii) above, find y when x = 5 1/3
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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
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