Mathematics Past Questions and Answers

Find the non-zero positive value of x which satisfies the equation

\(\begin{bmatrix} x & 1 & 0 \\ 1 & x & 1 \\ 0 & 1 & x \end{bmatrix}\) = 0

If w varies inversely as \(\frac{uv}{u + v}\) and w = 8 when

u = 2 and v = 6, find a relationship between u, v, w.

The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number

Simplify and express in standard form \(\frac{0.00275 \times 0.00640}{0.025 \times 0.08}\)

The equivalent of (10110.011)\(_2\) in base 10 is?