1983 JAMB UTME Mathematics Past Questions

1983

A ship H leaves a port P and sails 30 km due south. Then it sails 50km due west. What is the bearing of H from P

1983

One interior angle of a convex hexagon is 170o and each of the remaining interior angles is equal to xo. Find x

1983

Factorize completely 81a4 - 16b4

1983

Without using tables find the numerical value of log749 + log7(\(\frac{1}{7}\))

1983

If (\(\frac{2}{3}\))m (\(\frac{3}{4}\))n = \(\frac{252}{729}\), find the values of m and n

1983

If a rod of length 250cm is measured as 255cm long in error, what is the percentage error in the measurement?

1983

Correct each of the numbers 59.81798 and 0.0746829 to three significant figures and multiply them, giving your answer to three significant figures

1983

The letters of the word MATRICULATION are cut and put into a box. One letter is drawn at random from the box. Find the probability of drawing a vowel

1983

Find the angle of the sectors representing each item in pie chart of the following data 6, 10, 14, 16, 26

1983

Find the missing value in the following table:\(\begin{array}{c|c} x & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline y = x^3 - x + 3 & & 3 & 3 & 3 & 9 & 27\end{array}\)

1983

Solve the simultaneous equations for x in x2 + y - 8 = 0, y + 5x - 2 = 0

1983

If w varies inversely as V and U varies directly as w3, Find the relationship between u and v given that u = 1, when v = 2

1983

Simplify log10 a\(\frac{1}{3}\) + \(\frac{1}{4}\)log10 a - \(\frac{1}{12}\)log10a7

1983

Find x if (xbase4)2 = 100100base2

1983

The scores of set of final year students in the first semester examination in a paper are 41, 29, 55, 21, 47, 70, 70, 40, 43, 56, 73, 23, 50, 50. Find the median of the scores.

1983

The lengths of the sides of a right angled triangle are (3x + 1)cm, (3x - 1)cm and xcm. Find x

1983

y varies partly as the square of x and partly as the inverse of the square root of x. Write down the expression for y if y = 2 when x = 1 and y = 6 when x = 4.

1983

The value of (0.03)3 - (0.02)3 is

1983

Make T the subject of the equation \(\frac{av}{1 - v}\) = \(\sqrt{\frac{2v + T}{a + 2T}}\)

1983

If x + 2 and x - 1 are factors of the expression 1x3 + 2kx2 + 24, find the values of 1 and K

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1983 JAMB UTME Mathematics Past Questions

A ship H leaves a port P and sails 30 km due south. Then it sails 50km due west. What is the bearing of H from P

One interior angle of a convex hexagon is 170o and each of the remaining interior angles is equal to xo. Find x

Factorize completely 81a4 - 16b4

Without using tables find the numerical value of log749 + log7(\(\frac{1}{7}\))

If (\(\frac{2}{3}\))m (\(\frac{3}{4}\))n = \(\frac{252}{729}\), find the values of m and n

If a rod of length 250cm is measured as 255cm long in error, what is the percentage error in the measurement?

Correct each of the numbers 59.81798 and 0.0746829 to three significant figures and multiply them, giving your answer to three significant figures

The letters of the word MATRICULATION are cut and put into a box. One letter is drawn at random from the box. Find the probability of drawing a vowel

Find the angle of the sectors representing each item in pie chart of the following data 6, 10, 14, 16, 26

Find the missing value in the following table:\(\begin{array}{c|c} x &amp; -2 &amp; -1 &amp; 0 &amp; 1 &amp; 2 &amp; 3 \\ \hline y = x^3 - x + 3 &amp; &amp; 3 &amp; 3 &amp; 3 &amp; 9 &amp; 27\end{array}\)

Solve the simultaneous equations for x in x2 + y - 8 = 0, y + 5x - 2 = 0

If w varies inversely as V and U varies directly as w3, Find the relationship between u and v given that u = 1, when v = 2

Simplify log10 a\(\frac{1}{3}\) + \(\frac{1}{4}\)log10 a - \(\frac{1}{12}\)log10a7

Find x if (xbase4)2 = 100100base2

The scores of set of final year students in the first semester examination in a paper are 41, 29, 55, 21, 47, 70, 70, 40, 43, 56, 73, 23, 50, 50. Find the median of the scores.

The lengths of the sides of a right angled triangle are (3x + 1)cm, (3x - 1)cm and xcm. Find x

y varies partly as the square of x and partly as the inverse of the square root of x. Write down the expression for y if y = 2 when x = 1 and y = 6 when x = 4.

The value of (0.03)3 - (0.02)3 is

Make T the subject of the equation \(\frac{av}{1 - v}\) = \(\sqrt{\frac{2v + T}{a + 2T}}\)

If x + 2 and x - 1 are factors of the expression 1x3 + 2kx2 + 24, find the values of 1 and K

Find the missing value in the following table:\(\begin{array}{c|c} x & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline y = x^3 - x + 3 & & 3 & 3 & 3 & 9 & 27\end{array}\)