2006 JAMB UTME Mathematics Past Questions

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2006

Find the variance of 2x, 2x-1 and 2x+1

2006

A bag contains 5 black, 4 white and x red marbles. If the probability of picking a red marble is 2/3, find the value of x

2006

If the mean of five consecutive integers is 30, find the largest of the numbers

2006

A final examination requires that a student answer any 4 out of 6 questions. In how many ways can this be done?

2006

The table above shows the scores of a group of students in a physics test. If the mode is m and the number of students who scored 4 or more is n, what is (n, m)?

2006

The response of 160 pupils in a school asked to indicate their favourite subjects is given in the bar chart above. What percentage of the pupils have English English and Health education as the their favourite subjects?

2006

The pie chart above shows the expenditure of a family whose income is N30.000. If the expenditure on food is twice that on housing and that on school fees is twice that on transport, how much does the family spend on foo…

2006

The solution set of the shaded area above is

2006

In the diagram given PQ = 10cm, PS = 8cm and < PSR is 60 while < SRQ is a right angle. Find SR

2006

In the parallelogram PQRS given, find angle < SQR

2006

In the diagram above, |QR| is the diameter of the semicircle QR. Find the area of the figure to the nearest whole number. {\(\pi = \frac{22}{7}\)}

2006

What must be added to 4x2 - 4 to make it a perfect square?

2006

Find the roots of x3 - 2x2 - 5x + 6 = 0

2006

If y = x2 - x - 12, find the range of values of x for which y \(\geq\) 0,

2006

If x = \(\begin{vmatrix} 1 & 0 & 1 \\ 2 & -1 & 0 \\ -1 & 0 & 1\end{vmatrix}\) and y = \(\begin{vmatrix} -1 & 1 & 2 \\ 0 & -1 & -1 \\ 2 & 0 & 1\end{vmatrix}\) find 2x - y

2006

The sum of the first n positive integers is

2006

If T = 2\(\pi\) \(\sqrt{\frac{L}{g}}\), make g the subject of the formula

2006

a binary operation \(\oplus\) on the set of rational numbers is defined as x \(\oplus\) y = \(\frac{x^2 - y^2}{2xy}\). Find -5 \(\oplus\) 3

2006

If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?

2006

The binary operation \(\oplus\) defined on the set of real numbers is such that x \(\oplus\) y = \(\frac{xy}{6}\) for all x, y \(\epsilon\) R. Find the inverse of 20 under this operation when the identity element is 6

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2006 JAMB UTME Mathematics Past Questions

Find the variance of 2x, 2x-1 and 2x+1

A bag contains 5 black, 4 white and x red marbles. If the probability of picking a red marble is 2/3, find the value of x

If the mean of five consecutive integers is 30, find the largest of the numbers

A final examination requires that a student answer any 4 out of 6 questions. In how many ways can this be done?

The table above shows the scores of a group of students in a physics test. If the mode is m and the number of students who scored 4 or more is n, what is (n, m)?

The response of 160 pupils in a school asked to indicate their favourite subjects is given in the bar chart above. What percentage of the pupils have English English and Health education as the their favourite subjects?

The pie chart above shows the expenditure of a family whose income is N30.000. If the expenditure on food is twice that on housing and that on school fees is twice that on transport, how much does the family spend on foo…

The solution set of the shaded area above is

In the diagram given PQ = 10cm, PS = 8cm and &lt; PSR is 60 while &lt; SRQ is a right angle. Find SR

In the parallelogram PQRS given, find angle &lt; SQR

In the diagram above, |QR| is the diameter of the semicircle QR. Find the area of the figure to the nearest whole number. {\(\pi = \frac{22}{7}\)}

What must be added to 4x2 - 4 to make it a perfect square?

Find the roots of x3 - 2x2 - 5x + 6 = 0

If y = x2 - x - 12, find the range of values of x for which y \(\geq\) 0,

If x = \(\begin{vmatrix} 1 &amp; 0 &amp; 1 \\ 2 &amp; -1 &amp; 0 \\ -1 &amp; 0 &amp; 1\end{vmatrix}\) and y = \(\begin{vmatrix} -1 &amp; 1 &amp; 2 \\ 0 &amp; -1 &amp; -1 \\ 2 &amp; 0 &amp; 1\end{vmatrix}\) find 2x - y

The sum of the first n positive integers is

If T = 2\(\pi\) \(\sqrt{\frac{L}{g}}\), make g the subject of the formula

a binary operation \(\oplus\) on the set of rational numbers is defined as x \(\oplus\) y = \(\frac{x^2 - y^2}{2xy}\). Find -5 \(\oplus\) 3

If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?

The binary operation \(\oplus\) defined on the set of real numbers is such that x \(\oplus\) y = \(\frac{xy}{6}\) for all x, y \(\epsilon\) R. Find the inverse of 20 under this operation when the identity element is 6

In the diagram given PQ = 10cm, PS = 8cm and < PSR is 60 while < SRQ is a right angle. Find SR

In the parallelogram PQRS given, find angle < SQR

If x = \(\begin{vmatrix} 1 & 0 & 1 \\ 2 & -1 & 0 \\ -1 & 0 & 1\end{vmatrix}\) and y = \(\begin{vmatrix} -1 & 1 & 2 \\ 0 & -1 & -1 \\ 2 & 0 & 1\end{vmatrix}\) find 2x - y