2016 WAEC SSCE Further Mathematics Past Questions

2016

Find the coefficient of \(x^{3}\) in the expansion of \([\frac{1}{3}(2 + x)]^{6}\).

2016

Given n = 3, evaluate \(\frac{1}{(n-1)!} - \frac{1}{(n+1)!}\)

2016

Simplify \(\frac{^{n}P_{5}}{^{n}C_{5}}\).

2016

If \(\log_{10}y + 3\log_{10}x \geq \log_{10}x\), express y in terms of x.

2016

Solve for x in the equation \(5^{x} \times 5^{x + 1} = 25\).

2016

If (2t - 3s)(t - s) = 0, find \(\frac{t}{s}\).

2016

The remainder when \(x^{3}Â - 2x + m\) is divided by \(x - 1\) is equal to the remainder when \(2x^{3} + x - m\) is divided by \(2x + 1\). Find the value of m.

2016

If the solution set of \(x^{2} + kx - 5 = 0\) is (-1, 5), find the value of k.

2016

Factorize completely: \(x^{2} + x^{2}y + 3x - 10y + 3xy - 10\).

2016

If \(y = 4x - 1\), list the range of the domain \({-2 \leq x \leq 2}\), where x is an integer.

2016

If \(f(x) = \frac{4}{x} - 1, x \neq 0\), find \(f^{-1}(7)\).

2016

Consider the statements:p : Musa is shortq : Musa is brilliantWhich of the following represents the statement "Musa is short but not brilliant"?

2016

An operation * is defined on the set, R, of real numbers by \(p * q = p + q + 2pq\). If the identity element is 0, find the value of p for which the operation has no inverse.

2016

Express \(\frac{8 - 3\sqrt{6}}{2\sqrt{3} + 3\sqrt{2}}\) in the form \(p\sqrt{3} + q\sqrt{2}\).

2016

If \(P = {x : -2 < x < 5}\) and \(Q = {x : -5 < x < 2}\) are subsets of \(\mu = {x : -5 \leq x \leq 5}\), where x is a real number, find \((P \cup Q)\).

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2016 WAEC SSCE Further Mathematics Past Questions

Find the coefficient of \(x^{3}\) in the expansion of \([\frac{1}{3}(2 + x)]^{6}\).

Given n = 3, evaluate \(\frac{1}{(n-1)!} - \frac{1}{(n+1)!}\)

Simplify \(\frac{^{n}P_{5}}{^{n}C_{5}}\).

If \(\log_{10}y + 3\log_{10}x \geq \log_{10}x\), express y in terms of x.

Solve for x in the equation \(5^{x} \times 5^{x + 1} = 25\).

If (2t - 3s)(t - s) = 0, find \(\frac{t}{s}\).

The remainder when \(x^{3}Â - 2x + m\) is divided by \(x - 1\) is equal to the remainder when \(2x^{3} + x - m\) is divided by \(2x + 1\). Find the value of m.

If the solution set of \(x^{2} + kx - 5 = 0\) is (-1, 5), find the value of k.

Factorize completely: \(x^{2} + x^{2}y + 3x - 10y + 3xy - 10\).

If \(y = 4x - 1\), list the range of the domain \({-2 \leq x \leq 2}\), where x is an integer.

If \(f(x) = \frac{4}{x} - 1, x \neq 0\), find \(f^{-1}(7)\).

Consider the statements:p : Musa is shortq : Musa is brilliantWhich of the following represents the statement "Musa is short but not brilliant"?

An operation * is defined on the set, R, of real numbers by \(p * q = p + q + 2pq\). If the identity element is 0, find the value of p for which the operation has no inverse.

Express \(\frac{8 - 3\sqrt{6}}{2\sqrt{3} + 3\sqrt{2}}\) in the form \(p\sqrt{3} + q\sqrt{2}\).

If \(P = {x : -2 &lt; x &lt; 5}\) and \(Q = {x : -5 &lt; x &lt; 2}\) are subsets of \(\mu = {x : -5 \leq x \leq 5}\), where x is a real number, find \((P \cup Q)\).

If \(P = {x : -2 < x < 5}\) and \(Q = {x : -5 < x < 2}\) are subsets of \(\mu = {x : -5 \leq x \leq 5}\), where x is a real number, find \((P \cup Q)\).