Mathematics NECO Past Questions

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166

Rationalize the expression \(\frac{(7 - \sqrt{3})}{(13 - \sqrt{3})}\)

A. (44 + 3\(\sqrt{3}\)) ÷ 83
B. (44 + 2\(\sqrt{3}\)) ÷ 83
C. (44 - 3\(\sqrt{3}\)) ÷ 83
D. (44 - 4\(\sqrt{3}\)) ÷ 83
E. (44 - 2\(\sqrt{3}\)) ÷ 83

167

In proving the congruence of two triangles, which of the following is not important?

168

Bello chooses a number randomly from 1 to 10. What is the probability that it is either odd or prime?

A. \(\frac{1}{10}\)
B. \(\frac{2}{5}\)
C. \(\frac{1}{2}\)
D. \(\frac{3}{5}\)
E. \(\frac{9}{10}\)

169

If tan α = \(\frac{1}{2}\) and tan β = \(\frac{1}{3}\) and both α and β are acute, find tan (α + β).

170

Multiply (3\(\sqrt{a}\) - 4a) by (4a + 3\(\sqrt{a}\))