1992 JAMB UTME Mathematics Past Questions

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1992

What is the perpendicular distance of a point (2, 3) from the line 2x - 4y + 3 = 0?

1992

The locus of a point which is equidistant from two given fixed points is the

1992

x is a point due east of point Y on a coast Z is another point on the coast but 63m due south of y. If the distance ZX is 12Km. Calculate the bearing of Z from X

1992

If in the diagram above, FG is parallel to KM, find the value of x

1992

Determine the distance on the earth's surface between two town P (latoN, Long 20oN) and Q(Lat 60oN, Long 25oW) (Radius of the earth = 6400km)

1992

If the angles of quadrilateral are (P + 10)o(2P - 30)o(3P + 20)o and 4po, find p

1992

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\)q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\)pq is equivalent to

1992

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & z \end{vmatrix}\)q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\) Where pT is the transpose o…

1992

If the binary operation \(\ast\) is defined by m \(\ast\) n = mn + m + n for any real number m and n, find the identity of the elements under this operation

1992

For an arithmetical sequence, the first term is 2 and the common difference is 3. Find the sum of the first 11 terms

1992

What is the n-th term of the sequence 2, 6, 12, 20...?

1992

Find the sum to infinity to the following series 3 + 2 + \(\frac{4}{3}\) + \(\frac{8}{9}\) + \(\frac{16}{27}\) + .....

1992

Find all values of x satisfying the inequality -11 \(\leq\) 4 - 3x \(\leq\) 28

1992

Resolve \(\frac{3}{x^2 + x - 2}\) into partial fractions

1992

If x + 1 is a factor of x3 + 3x2 + kx + 4, find the value of k

1992

A man invested a sum of ₦280.00 partly at 5% and partly at 4%. if the total interest is ₦12.90 per annum, find the amount invested at 5%.

1992

Make t the subject of formula S = ut + \(\frac{1}{2} at^2\)

1992

Solve the equation: y - 11y + 24 = 0

1992

Factorize 9p2 - q2 + 6qr - 9r2

1992

If U = (1, 2, 3, 6, 7, 8, 9, 10) is the universal set. E = (10, 4, 6, 8, 10) and F = is odd. Find (E ∩ F), where means x 1x2 = 26, x the complement of a set

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1992 JAMB UTME Mathematics Past Questions

What is the perpendicular distance of a point (2, 3) from the line 2x - 4y + 3 = 0?

The locus of a point which is equidistant from two given fixed points is the

x is a point due east of point Y on a coast Z is another point on the coast but 63m due south of y. If the distance ZX is 12Km. Calculate the bearing of Z from X

If in the diagram above, FG is parallel to KM, find the value of x

Determine the distance on the earth's surface between two town P (latoN, Long 20oN) and Q(Lat 60oN, Long 25oW) (Radius of the earth = 6400km)

If the angles of quadrilateral are (P + 10)o(2P - 30)o(3P + 20)o and 4po, find p

p = \(\begin{vmatrix} x &amp; 3 &amp; 0 \\ 2 &amp; y &amp; 3\\ 4 &amp; 2 &amp; 4 \end{vmatrix}\)q = \(\begin{vmatrix} x &amp; 2 &amp; z \\ 3 &amp; y &amp; 2\\ 0 &amp; 3 &amp; z \end{vmatrix}\)pq is equivalent to

p = \(\begin{vmatrix} x &amp; 3 &amp; 0 \\ 2 &amp; y &amp; 3\\ 4 &amp; 2 &amp; z \end{vmatrix}\)q = \(\begin{vmatrix} x &amp; 2 &amp; z \\ 3 &amp; y &amp; 2\\ 0 &amp; 3 &amp; z \end{vmatrix}\) Where pT is the transpose o…

If the binary operation \(\ast\) is defined by m \(\ast\) n = mn + m + n for any real number m and n, find the identity of the elements under this operation

For an arithmetical sequence, the first term is 2 and the common difference is 3. Find the sum of the first 11 terms

What is the n-th term of the sequence 2, 6, 12, 20...?

Find the sum to infinity to the following series 3 + 2 + \(\frac{4}{3}\) + \(\frac{8}{9}\) + \(\frac{16}{27}\) + .....

Find all values of x satisfying the inequality -11 \(\leq\) 4 - 3x \(\leq\) 28

Resolve \(\frac{3}{x^2 + x - 2}\) into partial fractions

If x + 1 is a factor of x3 + 3x2 + kx + 4, find the value of k

A man invested a sum of ₦280.00 partly at 5% and partly at 4%. if the total interest is ₦12.90 per annum, find the amount invested at 5%.

Make t the subject of formula S = ut + \(\frac{1}{2} at^2\)

Solve the equation: y - 11y + 24 = 0

Factorize 9p2 - q2 + 6qr - 9r2

If U = (1, 2, 3, 6, 7, 8, 9, 10) is the universal set. E = (10, 4, 6, 8, 10) and F = is odd. Find (E ∩ F), where means x 1x2 = 26, x the complement of a set

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\)q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\)pq is equivalent to

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & z \end{vmatrix}\)q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\) Where pT is the transpose o…