Mathematics Past Questions and Answers

The scores of set of final year students in the first semester examination in a paper are 41, 29, 55, 21, 47, 70, 70, 40, 43, 56, 73, 23, 50, 50. Find the median of the scores.

A 47
B 50
C 48\(\frac{1}{2}\)
D 48
E 49

Question 17:

Find x if (x\(_4\))\(^2\) = 100100\(_2\)

A 6
B 12
C 100
D 210
E 110

Question 18:

Simplify log¹⁰ a^{\(\frac{1}{3}\)} + \(\frac{1}{4}\)log₁₀ a - \(\frac{1}{12}\)log₁₀a⁷

A 1
B \(\frac{7}{6}\)log₁₀ a
C Zero
D 10

Question 19:

If w varies inversely as V and U varies directly as w³, Find the relationship between u and v given that u = 1, when v = 2

A U = \(\frac{8}{v^3}\)
B V = \(\frac{8}{u^2v^3}\)
C U = 8v³
D V = 8u²

Question 20:

Solve the simultaneous equations for x in x² + y - 8 = 0, y + 5x - 2 = 0

A -28, 7
B 6, -28
C 6, -1
D -1, 7
E 3, 2