1982 JAMB UTME Mathematics Past Questions

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1982

The diameter of a metal rod is measured as 23.40 cm to four significant figures. What is the maximum error in the measurement?

1982

A world congress of mathematicians was held in Nice in 1970 with 800 people participating. There were 300 from Europe, 200 from America, 150 from Asia, 45 from Africa and 105 from Australia. Representing the above on a p…

1982

If \(\frac{3e + f}{3f - e}\) = \(\frac{2}{5}\), find the value of \(\frac{e + 3f}{f - 3e}\)

1982

The quantity y is partly constant and partly varies inversely as the square of x. With P and Q as constants, a possible relationship between x and y is

1982

Express 130 kilometers per second in meters per hour

1982

A stone Q is tied to a point P vertically above Q by an inelastic string of length 2 meters. How high does the stone rise when the string is inclined at an angle 60o to the vertical?

1982

Find the values of x for which the expression \(\frac{(x - 3)(x - 2)}{x^2 + x - 2}\) is undefined.

1982

Express 37.05 x 0.0042 in standard form

1982

Solve for x, If \(\frac{\frac{2}{x}}{\frac{p^2 + p^2}{p^2 + p^2}}\) = m

1982

The currency used in a country is called 'Matimalik'(M) and is of base seven. A lady in that country bought 4 bags of rice at M56 per bag and and 3 tins of milk at M4 per tin. What is the total cost of the item she bough…

1982

If sin \(\theta\) = \(\frac{m - n}{m + n}\); Find the value of 1 + tan2\(\theta\)

1982

Given that p:q = \(\frac{1}{3}\):\(\frac{1}{2}\) and q:r = \(\frac{2}{5}\), find p:r

1982

A sector of a circle is bounded by two radii 7cm long and an arc length 6cm. Find the area of the sector.

1982

If f(x - 2) = 3x2 + 4x + 1. Find the area of the sector

1982

Find the median of the set of numbers 110, 116, 113, 119, 118, 127, 118, 117, 113

1982

A man bought wrist watch for ₦150 but was only able to sell it for ₦120. Find the loss per cent on the transaction

1982

What is the least possible value of \(\frac{9}{1 + 2x^2}\) if \(0 \leq x \leq 2\)?

1982

Which of the following lines is not parallel to the line 3y + 2x + 7 = 0?

1982

Find \(\alpha\) and \(\beta\) such that x\(\frac{3}{8}\) x y\(\frac{-6}{7}\) x (\(\frac{y^{\frac{9}{7}}}{x^{\frac{45}{8}}}\))\(\frac{1}{9}\) = \(\frac{y^{\alpha}}{y^{\beta}}\)

1982

Write the equation 2 log2x - x log2(1 + y) = 3 in a form not involving logarithms

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