FUTA Post UTME Mathematics Past Questions

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The nth terms of two sequences are Qn = 3×2n-2 and Um = 3×22m-3. Find the product of Q2 and U2.

Find the remainder when 3x3 + 5x2 - 11x + 4 is divided by x+3.

Find the value of p, if the line which passes through (-1, -p) and (-2p, 2) is parallel to the line 2y + 8x - 17 = 0.

A cinema hall contains a certain number of people. If 22.5% are children, 47.5% are men and 84 are women, find the number of men in the hall.

if \(\frac{9^{2x-1} }{27^{x+1}}= 1 \) find the value of x.

In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?

X and Y are independent events. The probability that at least one occurs, including when both occur, is 0.7. The probability of X is 0.4. Find the probability of Y.

If a and b are the roots of the equation 3x2 + 5x - 2 = 0, find the value of \(\frac{1}{a} + \frac{1}{b} \)

If P 3446 - 23P26 = 2PP26 find the value of digit P.

A trader realizes 10x-x2 naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

Find the area bounded by the curve y = x (2 - x), the x - axis, x = 0 and x = 2.

Evaluate \(\int_{-2}^{1}\) (x - 1)2 dx

If the standard deviation of the set of numbers \(3, 6, x, 7, 5\) is \(\sqrt{2}\), find the least possible value of \(x\).

If the maximum value of y=1+hx-3x2 is 13, find h

Find the tangent of the acute angle between the lines 2x + y = 3 and 3x - 2y = 5

Given that \(Q = \begin{pmatrix} 6 & 0 \\ 4 & 5 \end{pmatrix} \) and \(Q+P = \begin{pmatrix} 7 & -2 \\ 6 & 8 \end{pmatrix} \) evaluate determinant of Q+2P

The binary operation * is defined on the set of integers p and q by pq=pq + p+q. Find 2(3*4).

Find the maximum value of y in the equation y=1-2x-3x2

If the 9th term of an A.P. is five times the 5th term, find the relationship between a and d.

If A=\(\begin{pmatrix} 2 & 1 \\ -3 & 0 \end{pmatrix} \) and l is a 2x2 unit matrix, evaluate A2 - 2A + 4I

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FUTA Post UTME Mathematics Past Questions

The nth terms of two sequences are Qn = 3×2n-2 and Um = 3×22m-3. Find the product of Q2 and U2.

Find the remainder when 3x3 + 5x2 - 11x + 4 is divided by x+3.

Find the value of p, if the line which passes through (-1, -p) and (-2p, 2) is parallel to the line 2y + 8x - 17 = 0.

A cinema hall contains a certain number of people. If 22.5% are children, 47.5% are men and 84 are women, find the number of men in the hall.

if \(\frac{9^{2x-1} }{27^{x+1}}= 1 \) find the value of x.

In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?

X and Y are independent events. The probability that at least one occurs, including when both occur, is 0.7. The probability of X is 0.4. Find the probability of Y.

If a and b are the roots of the equation 3x2 + 5x - 2 = 0, find the value of \(\frac{1}{a} + \frac{1}{b} \)

If P 3446 - 23P26 = 2PP26 find the value of digit P.

A trader realizes 10x-x2 naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

Find the area bounded by the curve y = x (2 - x), the x - axis, x = 0 and x = 2.

Evaluate \(\int_{-2}^{1}\) (x - 1)2 dx

If the standard deviation of the set of numbers \(3, 6, x, 7, 5\) is \(\sqrt{2}\), find the least possible value of \(x\).

If the maximum value of y=1+hx-3x2 is 13, find h

Find the tangent of the acute angle between the lines 2x + y = 3 and 3x - 2y = 5

Given that \(Q = \begin{pmatrix} 6 & 0 \\ 4 & 5 \end{pmatrix} \) and \(Q+P = \begin{pmatrix} 7 & -2 \\ 6 & 8 \end{pmatrix} \) evaluate determinant of Q+2P

The binary operation * is defined on the set of integers p and q by p*q=pq + p+q. Find 2*(3*4).

Find the maximum value of y in the equation y=1-2x-3x2

If the 9th term of an A.P. is five times the 5th term, find the relationship between a and d.

If A=\(\begin{pmatrix} 2 & 1 \\ -3 & 0 \end{pmatrix} \) and l is a 2x2 unit matrix, evaluate A2 - 2A + 4I

The binary operation * is defined on the set of integers p and q by pq=pq + p+q. Find 2(3*4).