2009 JAMB UTME Mathematics Past Questions

2009

If P \(=\left[\begin{array}{cc}x+3 & x+2 \\ x+1 & x-1\end{array}\right]\) evaluate x if |P| = -10

2009

If Q is\( \left[ \begin{array}{cc} 9 & -2 \\ -7 & 4 \\ \end{array} \right]\), then |Q| is

2009

A binary operation ⊗ defined on the set of integers is such that m⊗n = m + n + mn for all integers m and n. Find the inverse of -5 under this operation, if the identity element is 0

2009

If m * n = n - (m+2) for any real number m and n find he value of 3*(-5)

2009

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

2009

The sum of the first n terms of the arithmetic progression 5, 11, 17, 23, 29, 35, ... is

2009

Determine the value of x for which (x2 - 1) > 0

2009

W is directly proportional to U. If w = 5 when U = 3, find when W = 2/7

2009

Which of the following equations represent the graph above?

2009

A polynomial in x whose roots are 4/3 and -3/5 is

2009

If \(P=\sqrt{\frac{rs^3}{t}}\), express r in terms of p, s and t

2009

I.S∩T∩W=S II. S∪T∪W=SIII. T∩W=SIf S⊂T⊂W, which of the above statements are true?

2009

If x = {n2+1:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}, y = {5n:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}, find x \(\cap\) y.

2009

Simplify \(\frac{5+\sqrt{7}}{3+\sqrt{7}}\)

2009

If log102 = 0.3010 and log107 = 0.8451, evaluate log10280

2009

Solve 52(x-1) x 5(x-1) = 0.04

2009

A student spent 1/5of his allowance on books, 1/2 of remainder on food and kept the rest for contingencies. What fraction was kept?

2009

A man bought a second-hand photocopying machine for N34,000. He serviced is at a cost od N2,000 and then sold it i profit of 15%. What was the selling price?

2009

Evaluate \(\frac{81.81+99.44}{20.09+36.16}\) correct to 3 significant figures.

2009

Simplify \(7\frac{1}{12}-4\frac{3}{4}+2\frac{1}{2}\)

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2009 JAMB UTME Mathematics Past Questions

If P \(=\left[\begin{array}{cc}x+3 &amp; x+2 \\ x+1 &amp; x-1\end{array}\right]\) evaluate x if |P| = -10

If Q is\( \left[ \begin{array}{cc} 9 &amp; -2 \\ -7 &amp; 4 \\ \end{array} \right]\), then |Q| is

A binary operation ⊗ defined on the set of integers is such that m⊗n = m + n + mn for all integers m and n. Find the inverse of -5 under this operation, if the identity element is 0

If m * n = n - (m+2) for any real number m and n find he value of 3*(-5)

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

The sum of the first n terms of the arithmetic progression 5, 11, 17, 23, 29, 35, ... is

Determine the value of x for which (x2 - 1) &gt; 0

W is directly proportional to U. If w = 5 when U = 3, find when W = 2/7

Which of the following equations represent the graph above?

A polynomial in x whose roots are 4/3 and -3/5 is

If \(P=\sqrt{\frac{rs^3}{t}}\), express r in terms of p, s and t

I.S∩T∩W=S II. S∪T∪W=SIII. T∩W=SIf S⊂T⊂W, which of the above statements are true?

If x = {n2+1:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}, y = {5n:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}, find x \(\cap\) y.

Simplify \(\frac{5+\sqrt{7}}{3+\sqrt{7}}\)

If log102 = 0.3010 and log107 = 0.8451, evaluate log10280

Solve 52(x-1) x 5(x-1) = 0.04

A student spent 1/5of his allowance on books, 1/2 of remainder on food and kept the rest for contingencies. What fraction was kept?

A man bought a second-hand photocopying machine for N34,000. He serviced is at a cost od N2,000 and then sold it i profit of 15%. What was the selling price?

Evaluate \(\frac{81.81+99.44}{20.09+36.16}\) correct to 3 significant figures.

Simplify \(7\frac{1}{12}-4\frac{3}{4}+2\frac{1}{2}\)

If P \(=\left[\begin{array}{cc}x+3 & x+2 \\ x+1 & x-1\end{array}\right]\) evaluate x if |P| = -10

If Q is\( \left[ \begin{array}{cc} 9 & -2 \\ -7 & 4 \\ \end{array} \right]\), then |Q| is

Determine the value of x for which (x2 - 1) > 0