2012 JAMB UTME Mathematics Past Questions

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2012

The locus of a point equidistant from the intersection of lines 3x - 7y + 7 = 0 and 4x - 6y + 1 = 0 is a

2012

Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.

2012

The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.

2012

Given that I3 is a unit matrix of order 3, find |I3|

2012

If \(\begin{vmatrix} 5 & 3 \\ x & 2 \end{vmatrix}\) = \(\begin{vmatrix} 3 & 5 \\ 4 & 5 \end{vmatrix}\), find the value of x

2012

The binary operation on the set of real numbers is defined by m*n = \(\frac{mn}{2}\) for all m, n \(\in\) R. If the identity element is 2, find the inverse of -5

2012

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

2012

The sum to infinity of a geometric progression is \(-\frac{1}{10}\) and the first term is \(-\frac{1}{8}\). Find the common ratio of the progression.

2012

The nth term of a sequence is \(n^2 - 6n - 4\). Find the sum of the 3rd and 4th terms.

2012

Find the range of values of m which satisfy (m - 3)(m - 4) < 0.

2012

U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V = 3

2012

If y varies directly as \(\sqrt{n}\) and y = 4 when n = 4, find y when n = 1\(\frac{7}{9}\)

2012

Solve for x and y in the equations below x2 - y2 = 4 x + y = 2

2012

Find the remainder when 2x3 - 11x2 + 8x - 1 is divided by x + 3

2012

Make 'n' the subject of the formula if w = \(\frac{v(2 + cn)}{1 - cn}\)

2012

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

2012

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P \(\cap\) Q

2012

Simplify \((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\)

2012

If log3x2 = -8, what is x?

2012

If 27x + 2 \(\div\) 9x + 1 = 32x, find x

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2012 JAMB UTME Mathematics Past Questions

The locus of a point equidistant from the intersection of lines 3x - 7y + 7 = 0 and 4x - 6y + 1 = 0 is a

Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.

The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.

Given that I3 is a unit matrix of order 3, find |I3|

If \(\begin{vmatrix} 5 &amp; 3 \\ x &amp; 2 \end{vmatrix}\) = \(\begin{vmatrix} 3 &amp; 5 \\ 4 &amp; 5 \end{vmatrix}\), find the value of x

The binary operation on the set of real numbers is defined by m*n = \(\frac{mn}{2}\) for all m, n \(\in\) R. If the identity element is 2, find the inverse of -5

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

The sum to infinity of a geometric progression is \(-\frac{1}{10}\) and the first term is \(-\frac{1}{8}\). Find the common ratio of the progression.

The nth term of a sequence is \(n^2 - 6n - 4\). Find the sum of the 3rd and 4th terms.

Find the range of values of m which satisfy (m - 3)(m - 4) &lt; 0.

U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V = 3

If y varies directly as \(\sqrt{n}\) and y = 4 when n = 4, find y when n = 1\(\frac{7}{9}\)

Solve for x and y in the equations below x2 - y2 = 4 x + y = 2

Find the remainder when 2x3 - 11x2 + 8x - 1 is divided by x + 3

Make 'n' the subject of the formula if w = \(\frac{v(2 + cn)}{1 - cn}\)

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P \(\cap\) Q

Simplify \((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\)

If log3x2 = -8, what is x?

If 27x + 2 \(\div\) 9x + 1 = 32x, find x

If \(\begin{vmatrix} 5 & 3 \\ x & 2 \end{vmatrix}\) = \(\begin{vmatrix} 3 & 5 \\ 4 & 5 \end{vmatrix}\), find the value of x

Find the range of values of m which satisfy (m - 3)(m - 4) < 0.