KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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3 MARKS FORMULAE AND VARIATIONS | Change of the subject | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION AGiven that P = QXⁿ make n the subject of the formula and simplify your answer. (3mks)
Form 3 Mathematics
A quantity P varies inversely as the square of another quantity L.When P = 0.625, L = 4. Determine P when L= 0.2.
Form 3 Mathematics
A variable P varies directly as t3 and inversely as the square root of s. When t = 2 and s = 9, P = 16. Determine the equation connecting P, t and s, hence find P when s = 36 and t=3.
Form 3 Mathematics
Three quantities X, Y and Z are such that X varies directly as the square root ofY and inversely as the fourth root of Z. When X = 64, Y = 16 and Z = 625.
(a) Determine the equation connecting X, Y and Z. (b) Find the value of Z when Y = 36 and X = 160. (c) Find the percentage change in X when Y is increased by 44%. Form 3 MathematicsThree quantities P,Q and R are sure that P varies directly as the square of Q and inversely as the square root of R. (a) Given that P = 20 when Q = 5 and R = 9, find P when Q and R = 25 (b) If Q increases by 20% and decreases by 36%, find the percentage increase in P. Form 3 Mathematics
A quantity P varies partly as the square of m and partly as n. When P = 3.8, m = 2 and n = When P = -0.2, m = 3 and n = 2.
(a) Find: (i) the equation that connects P, m and n; (ii) the value of P when m = 10 and n = 4. (b) Express m in terms of P and n. (c) If P and n are each increased by 10%, find the percentage increase in m correct to 2 decimal places. Form 3 Mathematics
Three quantities L, M and N are such that L varies directly as M and inversely as the square of N. Given that L = 2 when M = 12 and N = 6, determine the
equation connecting the three quantities. Form 3 Mathematics
A distance s metres of an object varies with time t seconds and partly with the square root of the time.
Given that s = 14 when t = 9, write an equation connecting s and t. |
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