2015 WAEC SSCE Further Mathematics Past Questions

2015

If \(2\sin^{2} \theta = 1 + \cos \theta, 0Â° \leq \theta \leq 90Â°\), find the value of \(\theta\).

2015

Simplify: \(^{n}C_{r}Â Ã· ^{n}C_{r-1}\)

2015

In calculating the mean of 8 numbers, a boy mistakenly used 17 instead of 25 as one of the numbers. If he obtained 20 as the mean, find the correct mean.

2015

Four fair coins are tossed once. Calculate the probability of having equal heads and tails.

2015

Given that \(y = 4 - 9x\) and \(\Delta x = 0.1\), calculate \(\Delta y\).

2015

A particle starts from rest and moves in a straight line such that its acceleration after t secs is given by \(a = (3t - 2) ms^{-2}\). Find the distance covered after 3 secs.

2015

A particle starts from rest and moves in a straight line such that its acceleration after t seconds is given by \(a = (3t - 2) ms^{-2}\). Find the other time when the velocity would be zero.

2015

Find the coordinates of the point which divides the line joining P(-2, 3) and Q(4, 6) internally in the ratio 2 : 3.

2015

Find \(\int \frac{x^{3} + 5x + 1}{x^{3}} \mathrm {d} x\)

2015

If \(\begin{vmatrix}Â 1+2x & -1 \\ 6 & 3-x \end{vmatrix} = -3 \), find the values of x.

2015

Each of the 90 students in a class speak at least Igbo or Hausa. If 56 students speak Igbo and 50 speak Hausa, find the probability that a student selected at random from the class speaks Igbo only.

2015

A mass of 75kg is placed on a lift. Find the force exerted by the floor of the lift on the mass when the lift is moving up with constant velocity. \([g = 9.8ms^{-2}]\)

2015

Marks012345Number of candidates6481093The table above shows the distribution of marks scored by students in a test. Find the interquartile range of the distribution.

2015

Marks012345Number of candidates6481093The table above shows the distribution of marks scored by students in a test. How many candidates scored above the median score?

2015

Given that \(r = 2i - j\), \(s = 3i + 5j\) and \(t = 6i - 2j\), find the magnitude of \(2r + s - t\).

2015

Given the statements:p : the subject is difficultq : I will do my bestWhich of the following is equivalent to 'Although the subject is difficult, I will do my best'?

2015

Given that \(x^{2} + 4x + k = (x + r)^{2} + 1\), find the value of k and r.

2015

If \(\alpha\) and \(\beta\) are the roots of \(x^{2} + x - 2 = 0\), find the value of \(\frac{1}{\alpha^{2}} + \frac{1}{\beta^{2}}\).

2015

2015 WAEC SSCE Further Mathematics Past Questions

If \(2\sin^{2} \theta = 1 + \cos \theta, 0Â° \leq \theta \leq 90Â°\), find the value of \(\theta\).

Simplify: \(^{n}C_{r}Â Ã· ^{n}C_{r-1}\)

In calculating the mean of 8 numbers, a boy mistakenly used 17 instead of 25 as one of the numbers. If he obtained 20 as the mean, find the correct mean.

Four fair coins are tossed once. Calculate the probability of having equal heads and tails.

Given that \(y = 4 - 9x\) and \(\Delta x = 0.1\), calculate \(\Delta y\).

A particle starts from rest and moves in a straight line such that its acceleration after t secs is given by \(a = (3t - 2) ms^{-2}\). Find the distance covered after 3 secs.

A particle starts from rest and moves in a straight line such that its acceleration after t seconds is given by \(a = (3t - 2) ms^{-2}\). Find the other time when the velocity would be zero.

Find the coordinates of the point which divides the line joining P(-2, 3) and Q(4, 6) internally in the ratio 2 : 3.

Find \(\int \frac{x^{3} + 5x + 1}{x^{3}} \mathrm {d} x\)

If \(\begin{vmatrix}Â 1+2x & -1 \\ 6 & 3-x \end{vmatrix} = -3 \), find the values of x.

Each of the 90 students in a class speak at least Igbo or Hausa. If 56 students speak Igbo and 50 speak Hausa, find the probability that a student selected at random from the class speaks Igbo only.

A mass of 75kg is placed on a lift. Find the force exerted by the floor of the lift on the mass when the lift is moving up with constant velocity. \([g = 9.8ms^{-2}]\)

Marks012345Number of candidates6481093The table above shows the distribution of marks scored by students in a test. Find the interquartile range of the distribution.

Marks012345Number of candidates6481093The table above shows the distribution of marks scored by students in a test. How many candidates scored above the median score?

Given that \(r = 2i - j\), \(s = 3i + 5j\) and \(t = 6i - 2j\), find the magnitude of \(2r + s - t\).

Given the statements:p : the subject is difficultq : I will do my bestWhich of the following is equivalent to 'Although the subject is difficult, I will do my best'?

Given that \(x^{2} + 4x + k = (x + r)^{2} + 1\), find the value of k and r.

If \(\alpha\) and \(\beta\) are the roots of \(x^{2} + x - 2 = 0\), find the value of \(\frac{1}{\alpha^{2}} + \frac{1}{\beta^{2}}\).

The gradient of a curve at the point (-2, 0) is \(3x^{2} - 4x\). Find the equation of the curve.

If \(x = i - 3j\) and \(y = 6i + j\), calculate the angle between x and y.

2015 WAEC SSCE Further Mathematics Past Questions

If \(2\sin^{2} \theta = 1 + \cos \theta, 0Â° \leq \theta \leq 90Â°\), find the value of \(\theta\).

Simplify: \(^{n}C_{r}Â Ã· ^{n}C_{r-1}\)

In calculating the mean of 8 numbers, a boy mistakenly used 17 instead of 25 as one of the numbers. If he obtained 20 as the mean, find the correct mean.

Four fair coins are tossed once. Calculate the probability of having equal heads and tails.

Given that \(y = 4 - 9x\) and \(\Delta x = 0.1\), calculate \(\Delta y\).

A particle starts from rest and moves in a straight line such that its acceleration after t secs is given by \(a = (3t - 2) ms^{-2}\). Find the distance covered after 3 secs.

A particle starts from rest and moves in a straight line such that its acceleration after t seconds is given by \(a = (3t - 2) ms^{-2}\). Find the other time when the velocity would be zero.

Find the coordinates of the point which divides the line joining P(-2, 3) and Q(4, 6) internally in the ratio 2 : 3.

Find \(\int \frac{x^{3} + 5x + 1}{x^{3}} \mathrm {d} x\)

If \(\begin{vmatrix}Â 1+2x &amp; -1 \\ 6 &amp; 3-x \end{vmatrix} = -3 \), find the values of x.

Each of the 90 students in a class speak at least Igbo or Hausa. If 56 students speak Igbo and 50 speak Hausa, find the probability that a student selected at random from the class speaks Igbo only.

A mass of 75kg is placed on a lift. Find the force exerted by the floor of the lift on the mass when the lift is moving up with constant velocity. \([g = 9.8ms^{-2}]\)

Marks012345Number of candidates6481093The table above shows the distribution of marks scored by students in a test. Find the interquartile range of the distribution.

Marks012345Number of candidates6481093The table above shows the distribution of marks scored by students in a test. How many candidates scored above the median score?

Given that \(r = 2i - j\), \(s = 3i + 5j\) and \(t = 6i - 2j\), find the magnitude of \(2r + s - t\).

Given the statements:p : the subject is difficultq : I will do my bestWhich of the following is equivalent to 'Although the subject is difficult, I will do my best'?

Given that \(x^{2} + 4x + k = (x + r)^{2} + 1\), find the value of k and r.

If \(\alpha\) and \(\beta\) are the roots of \(x^{2} + x - 2 = 0\), find the value of \(\frac{1}{\alpha^{2}} + \frac{1}{\beta^{2}}\).

The gradient of a curve at the point (-2, 0) is \(3x^{2} - 4x\). Find the equation of the curve.

If \(x = i - 3j\) and \(y = 6i + j\), calculate the angle between x and y.

If \(\begin{vmatrix}Â 1+2x & -1 \\ 6 & 3-x \end{vmatrix} = -3 \), find the values of x.