Mathematics Past Questions
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Past Questions
4,407 questionsIf y = 3 sin(-4x), dy/dx is
Evaluate \(\int^{3} _{2}(x^2 - 2x)dx\)
Find the slope of the curve y = 2x\(^2\) + 5x - 3 at (1, 4).
The locus of a point P which moves on one side only of a straight line XY so that ∠XPY = 90o is
The sum of the first n terms of an arithmetic progression is 252. If the first term is -16 and the last term is 72, find the number of terms in the series
The triangle OPQ above is the solution of the inequalities
Three consecutive terms of a geometric progression are given as n-2, n and n+3. Find the common ratio
The graph of the function y = x\(^2\) + 4 and a straight line PQ are drawn to solve the equation x\(^2\) - 3x + 2 = 0. What is the equation of PQ?
Find the range of the value of x satisfying the inequalities 5 + x \(\leq\) 8 and 13 + x \(\geq\) 7
x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3?
U = {Even numbers between 0 and 30}
P = {Multiples of 6 between 0 and 30}
Q = {Multiples of 4 between 0 and 30}
Find (P∪Q)c
The sum of four numbers is 1214\(_5\). What is the average expressed in base five?
If \(\frac{9^{2x-1}}{27^{x+1}} = 1\), find the value of x.
A cinema hall contains a certain number of people. If 22\(\frac{1}{2}\)% are children, 47\(\frac{1}{2}\)% are men and 84 are women, find the number of men in the hall.
Simplify \(\frac{\sqrt{98} - \sqrt{50}}{\sqrt{32}}\)