1995 JAMB UTME Mathematics Past Questions

1995

\(\begin{array}{c|c} \text{Age in years} & 13 & 14 & 15 & 16 & 17 \\ \hline \text{No. of students} & 3 & 10 & 30 & 42 & 15\end{array}\)The frequency distribution above shows the ag…

1995

Find the area bounded by the curve y = 3x2 - 2x + 1, the ordinates x = 1 and x = 3 and the x-axix.

1995

Two variables x and y are such that \(\frac{dy}{dx}\) = 4x - 3 and y = 5 when x = 2. Find y in terms of x

1995

the derivative of cosec x is

1995

A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60o. Calculate the height of the water tank.

1995

Two perpendicular lines PQ and QR intersect at (1, -1). If the equation of PQ is x - 2y + 4 = 0, find the equation of QR

1995

Find the distance between two towns p(45o N, 30oW) and Q(15oS, 30oW) if the radius of the earth is 7000km. [\(\pi = \frac{22}{7}\)]

1995

If x = \(\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\) and y = \(\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\). Find xy.

1995

\(\begin{vmatrix} -2 & 1 & 1 \\ 2 & 1 & k \\1 & 3 & -1 \end{vmatrix}\) = 23

1995

Find the sum to infinity of the following sequence: \(1, \frac{9}{10}, (\frac{9}{10})^2, (\frac{9}{10})^3, ...\)

1995

If a \(\ast\) b = + \(\sqrt{ab}\), evaluate 2 \(\ast\)(12 \(\ast\) 27)

1995

Which of the following binary operations is cumulative in the set of integers?

1995

Express \(\frac{5x - 12}{(x - 2)(x - 3)}\) in partial fractions

1995

Simplify \(\frac{x^2 - 1}{x^3 + 2x^2 - x - 2}\)

1995

Solve the inequality (x - 3)(x - 4) \(\leq\) 0

1995

Factorize completely the expression abx2 + 6y - 3ax - 2byx

1995

Find T in terms of K, Q and S if S = 2r(\(\pi\)QT + K)

1995

Finds a positive value of p if the expression 2x2 - px + p leaves a remainder 6 when divided by x - p and q

1995

1995 JAMB UTME Mathematics Past Questions

\(\begin{array}{c|c} \text{Age in years} & 13 & 14 & 15 & 16 & 17 \\ \hline \text{No. of students} & 3 & 10 & 30 & 42 & 15\end{array}\)The frequency distribution above shows the ag…

Find the area bounded by the curve y = 3x2 - 2x + 1, the ordinates x = 1 and x = 3 and the x-axix.

Two variables x and y are such that \(\frac{dy}{dx}\) = 4x - 3 and y = 5 when x = 2. Find y in terms of x

the derivative of cosec x is

A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60o. Calculate the height of the water tank.

Two perpendicular lines PQ and QR intersect at (1, -1). If the equation of PQ is x - 2y + 4 = 0, find the equation of QR

Find the distance between two towns p(45o N, 30oW) and Q(15oS, 30oW) if the radius of the earth is 7000km. [\(\pi = \frac{22}{7}\)]

If x = \(\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\) and y = \(\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\). Find xy.

\(\begin{vmatrix} -2 & 1 & 1 \\ 2 & 1 & k \\1 & 3 & -1 \end{vmatrix}\) = 23

Find the sum to infinity of the following sequence: \(1, \frac{9}{10}, (\frac{9}{10})^2, (\frac{9}{10})^3, ...\)

If a \(\ast\) b = + \(\sqrt{ab}\), evaluate 2 \(\ast\)(12 \(\ast\) 27)

Which of the following binary operations is cumulative in the set of integers?

Express \(\frac{5x - 12}{(x - 2)(x - 3)}\) in partial fractions

Simplify \(\frac{x^2 - 1}{x^3 + 2x^2 - x - 2}\)

Solve the inequality (x - 3)(x - 4) \(\leq\) 0

Factorize completely the expression abx2 + 6y - 3ax - 2byx

Find T in terms of K, Q and S if S = 2r(\(\pi\)QT + K)

Finds a positive value of p if the expression 2x2 - px + p leaves a remainder 6 when divided by x - p and q

if x - 1 and x + 1 are both factors of the equation x 3 + px2 + qx + 6 = 0, evaluate p and q

If S = (x : x2 = 9, x > 4), then S is equal to

1995 JAMB UTME Mathematics Past Questions

\(\begin{array}{c|c} \text{Age in years} &amp; 13 &amp; 14 &amp; 15 &amp; 16 &amp; 17 \\ \hline \text{No. of students} &amp; 3 &amp; 10 &amp; 30 &amp; 42 &amp; 15\end{array}\)The frequency distribution above shows the ag…

Find the area bounded by the curve y = 3x2 - 2x + 1, the ordinates x = 1 and x = 3 and the x-axix.

Two variables x and y are such that \(\frac{dy}{dx}\) = 4x - 3 and y = 5 when x = 2. Find y in terms of x

the derivative of cosec x is

A school boy lying on the ground 30m away from the foot of a water tank tower observes that the angle of elevation of the top of the tank 60o. Calculate the height of the water tank.

Two perpendicular lines PQ and QR intersect at (1, -1). If the equation of PQ is x - 2y + 4 = 0, find the equation of QR

Find the distance between two towns p(45o N, 30oW) and Q(15oS, 30oW) if the radius of the earth is 7000km. [\(\pi = \frac{22}{7}\)]

If x = \(\begin{pmatrix} 1 &amp; 2 \\ 0 &amp; 3 \end{pmatrix}\) and y = \(\begin{pmatrix} 2 &amp; 1 \\ 4 &amp; 3 \end{pmatrix}\). Find xy.

\(\begin{vmatrix} -2 &amp; 1 &amp; 1 \\ 2 &amp; 1 &amp; k \\1 &amp; 3 &amp; -1 \end{vmatrix}\) = 23

Find the sum to infinity of the following sequence: \(1, \frac{9}{10}, (\frac{9}{10})^2, (\frac{9}{10})^3, ...\)

If a \(\ast\) b = + \(\sqrt{ab}\), evaluate 2 \(\ast\)(12 \(\ast\) 27)

Which of the following binary operations is cumulative in the set of integers?

Express \(\frac{5x - 12}{(x - 2)(x - 3)}\) in partial fractions

Simplify \(\frac{x^2 - 1}{x^3 + 2x^2 - x - 2}\)

Solve the inequality (x - 3)(x - 4) \(\leq\) 0

Factorize completely the expression abx2 + 6y - 3ax - 2byx

Find T in terms of K, Q and S if S = 2r(\(\pi\)QT + K)

Finds a positive value of p if the expression 2x2 - px + p leaves a remainder 6 when divided by x - p and q

if x - 1 and x + 1 are both factors of the equation x 3 + px2 + qx + 6 = 0, evaluate p and q

If S = (x : x2 = 9, x &gt; 4), then S is equal to

\(\begin{array}{c|c} \text{Age in years} & 13 & 14 & 15 & 16 & 17 \\ \hline \text{No. of students} & 3 & 10 & 30 & 42 & 15\end{array}\)The frequency distribution above shows the ag…

If x = \(\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\) and y = \(\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\). Find xy.

\(\begin{vmatrix} -2 & 1 & 1 \\ 2 & 1 & k \\1 & 3 & -1 \end{vmatrix}\) = 23

If S = (x : x2 = 9, x > 4), then S is equal to