NSMQ 2024 Mathematics Problem of the Day
Study past NSMQ 2024 Mathematics Problem of the Day questions with full worked solutions and marks allocation
A line through P(2,−3) is perpendicular to 2x+y=6. Find the equation of the perpendicular line, the intersection point Q…
A cuboid has base x cm by 2x cm and height h cm. Total surface area is 1200 cm². Find h in terms of x, express volume V …
A function f(x) = (x−3)/(x²+2x−3). Find constants A and B for partial fractions, find the domain, solve f(x)=1, and eval…
Functions f(x) = 9/(x−3) and g(x) = x+3. Find g(f(x)) and f(g(x)), the inverse of g(f(x)), and solve g(f(x)) = x.
(x+1) and (x−1) are factors of f(x) = x⁴+x³+2x²+Ax+B. Find A and B, factorize f(x) completely, find real zeros. Also fin…
(x+1) is a factor of f(x) = 5x³−kx²+15x+25. Find k and factorise completely. Also use the remainder theorem on g(x) and …
The first three terms of an exponential series are x+5, x+3, (x+7)/3. Find the values of x, the first three terms, commo…
The first three terms of a series are x-4, x+4, 3x+4. Find x and first four terms for a linear series. Find values of x,…
Find the set of values of k for which f(x)=x²-4kx+3k is positive for all real x. Find the solution set of 2x-3<x²-6<10.
A closed cylindrical tank has radius r and height h with volume 2000π m³. Find h in terms of r, total surface area S in …
The function f(x) = 6x³ + kx² + x − 2. Find k given (x+2) is a factor, completely factorise f(x), and find partial fract…
A box has 20 balls: 8 black, 7 white, 5 red. Three removed without replacement. Find P(two white and one red), P(two bla…
