2007 WAEC SSCE Further Mathematics Past Questions

2007

Given that \(R = (4, 180Â°)\) and \(S = (3, 300Â°)\), find the dot product.

2007

Three students are working independently on a Mathematics problem. Their respective probabilities of solving the problem are 0.6, 0.7 and 0.8. What is the probability that at least one of them solves the problem?

2007

A particle is projected vertically upwards with a speed of 40 m/s. At what times will it be 35m above its point of projection? \(\text{Take g} = 10 ms^{-2}\)

2007

Given that \(p = 4i + 3j\), find the unit vector in the direction of p.

2007

X and Y are two independent event. If \(P(X) = \frac{1}{5}\) and \(P(X \cap Y) = \frac{2}{15}\), find \(P(Y)\).

2007

Simplify \(\frac{^{n}P_{3}}{^{n}C_{2}} + ^{n}P_{0}\)

2007

The equation of a circle is given by \(x^{2} + y^{2} - 4x - 2y - 3\). Find the radius and the coordinates of its centre.

2007

Given that \(P = \begin{pmatrix} 4 & 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 & -2 \\ 3 & 2 \end{pmatrix}\). Evaluate \(|Q|P\).

2007

Given that \(P = \begin{pmatrix} 4 & 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 & -2 \\ 3 & 2 \end{pmatrix}\). Which of the following operations is possible?

2007

How many ways can 12 people be divided into three groups of 2, 7 and 3 in that order?

2007

Marks5 - 78 - 1011 - 1314 - 1617 - 1920 - 22Frequency472641148The table above shows the marks obtained by 100 pupils in a test. Find the probability that a student picked at random scored at least 14 marks.

2007

Marks5 - 78 - 1011 - 1314 - 1617 - 1920 - 22Frequency472641148The table above shows the marks obtained by 100 pupils in a test. Find the upper class boundary of the class containing the third quartile.

2007

The polynomial \(2x^{3} + 3x^{2} + qx - 1\) has the same reminder when divided by \((x + 2)\) and \((x - 1)\). Find the value of the constant q.

2007

Find the value of p for which \(x^{2} - x + p\) becomes a perfect square.

2007

The equation of a curve is given by \(y = 2x^{2} - 5x + k\). If the curve has two intercepts on the x- axis, find the value(s) of constant k.

2007

A body is acted upon by two forces \(F_{1} = (5 N, 060Â°)\) and \(F_{2} = (10 N, 180Â°)\). Find the magnitude of the resultant force.

2007

A bag contains 2 red and 4 green sweets of the same size and shape. Two boys pick a sweet each from the box, one after the other, without replacement. What is the probability that at least a sweet with green wrapper is p…

2007

If \(f(x) = mx^{2} - 6x - 3\) and \(f'(1) = 12\), find the value of the constant m.

2007

Evaluate \(\lim \limits_{x \to 3} \frac{x^{2} - 2x -Â 3}{x - 3}\)

2007

Calculate in surd form, the value of \(\tan\) 15Â°.

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2007 WAEC SSCE Further Mathematics Past Questions

Given that \(R = (4, 180Â°)\) and \(S = (3, 300Â°)\), find the dot product.

Three students are working independently on a Mathematics problem. Their respective probabilities of solving the problem are 0.6, 0.7 and 0.8. What is the probability that at least one of them solves the problem?

A particle is projected vertically upwards with a speed of 40 m/s. At what times will it be 35m above its point of projection? \(\text{Take g} = 10 ms^{-2}\)

Given that \(p = 4i + 3j\), find the unit vector in the direction of p.

X and Y are two independent event. If \(P(X) = \frac{1}{5}\) and \(P(X \cap Y) = \frac{2}{15}\), find \(P(Y)\).

Simplify \(\frac{^{n}P_{3}}{^{n}C_{2}} + ^{n}P_{0}\)

The equation of a circle is given by \(x^{2} + y^{2} - 4x - 2y - 3\). Find the radius and the coordinates of its centre.

Given that \(P = \begin{pmatrix} 4 &amp; 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 &amp; -2 \\ 3 &amp; 2 \end{pmatrix}\). Evaluate \(|Q|P\).

Given that \(P = \begin{pmatrix} 4 &amp; 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 &amp; -2 \\ 3 &amp; 2 \end{pmatrix}\). Which of the following operations is possible?

How many ways can 12 people be divided into three groups of 2, 7 and 3 in that order?

Marks5 - 78 - 1011 - 1314 - 1617 - 1920 - 22Frequency472641148The table above shows the marks obtained by 100 pupils in a test. Find the probability that a student picked at random scored at least 14 marks.

Marks5 - 78 - 1011 - 1314 - 1617 - 1920 - 22Frequency472641148The table above shows the marks obtained by 100 pupils in a test. Find the upper class boundary of the class containing the third quartile.

The polynomial \(2x^{3} + 3x^{2} + qx - 1\) has the same reminder when divided by \((x + 2)\) and \((x - 1)\). Find the value of the constant q.

Find the value of p for which \(x^{2} - x + p\) becomes a perfect square.

The equation of a curve is given by \(y = 2x^{2} - 5x + k\). If the curve has two intercepts on the x- axis, find the value(s) of constant k.

A body is acted upon by two forces \(F_{1} = (5 N, 060Â°)\) and \(F_{2} = (10 N, 180Â°)\). Find the magnitude of the resultant force.

A bag contains 2 red and 4 green sweets of the same size and shape. Two boys pick a sweet each from the box, one after the other, without replacement. What is the probability that at least a sweet with green wrapper is p…

If \(f(x) = mx^{2} - 6x - 3\) and \(f'(1) = 12\), find the value of the constant m.

Evaluate \(\lim \limits_{x \to 3} \frac{x^{2} - 2x -Â 3}{x - 3}\)

Calculate in surd form, the value of \(\tan\) 15Â°.

Given that \(P = \begin{pmatrix} 4 & 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 & -2 \\ 3 & 2 \end{pmatrix}\). Evaluate \(|Q|P\).

Given that \(P = \begin{pmatrix} 4 & 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 & -2 \\ 3 & 2 \end{pmatrix}\). Which of the following operations is possible?