1988 JAMB UTME Mathematics Past Questions

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1988

Given that 3x - 5y - 3 = 0, 2y - 6x + 5 = 0 the value of (x, y) is

1988

List the integral values of x which satisfy the inequality -1 < 5 - 2x \(\geq\) 7.

1988

Solve the following equation for x: \(x^2 + \frac{2x}{r^2} + \frac{1}{r^4} = 0\)

1988

Simplify \(\frac{x + 2}{x + 1}\) - \(\frac{x - 2}{x + 2}\)

1988

The thickness of an 800 pages of book is 18mm. Calculate the thickness of one leaf of the book giving your answer in meters and in standard form

1988

Find m such that (m + \(\sqrt{3}\))(1 - \(\sqrt{3}\))2 = 6 - 2\(\sqrt{2}\)

1988

If log102 = 0.3010 and log103 = 0.4771, evaluate; without using logarithm tables, log104.5

1988

Evaluate \(\frac{8^{\frac{1}{3}} \times 5^{\frac{2}{3}}}{10^{\frac{2}{3}}}\) = \(\frac{8^{\frac{1}{3}} \times 5^{\frac{2}{3}}}{10^{\frac{2}{3}}}\)

1988

A tax player is allowed \(\frac{1}{8}\)th of his income tax-free, and pays 20% on the remainder. If he pays ₦490.00 tax, what is his income?

1988

A basket contain green, black and blue balls in the ratio 5 : 2 : 1. If there are 10 blue balls. Find the corresponding new ratio when 10 green and 10 black balls are removed from the basket

1988

Two sisters, Taiwo and Keyinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later, Keyinde sells \(\frac{2}{3}\) of her share to Taiwo for ₦720.00. Find the value of the store.

1988

A 5.0g of salt was weighted by Tunde as 5.1g. What is the percentage error?

1988

Simplify \(\frac{1\frac{1}{2}}{\text{2 + \(\frac{1}{4}\) of 32}}\)

1988

For which of the following exterior angles is a regular polygon possible? i. 36o ii. 18o iii. 15o

1988

Four interior angles of a pentagon are 90o - xo, 90o + xo, 110o - 2xo, 110o + 2xo. Find the fifth interior angle

1988

if x is the addition of the prime numbers between 1 and 6; and y the H.C.F. of 6, 9, 15. Find the product of x and y

1988

\(\begin{array}{c|ccccccc} Scores(x) & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline Frequency(f) & 7 & 11 & 6 & 7 & 7 & 5 & 3\end{array}\)In the distribution above, the mode…

1988

In a class of 150 students, the sector in a pie chart representing the students offering Physics has angle 12o. How many students are offering Physics?

1988

Find correct to one decimal place, 0.24633 \(\div\) 0.0306

1988

If 7 and 189 are the first and fourth terms of geometric progression respectively, find the sum of the first three terms of the progression

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1988 JAMB UTME Mathematics Past Questions

Given that 3x - 5y - 3 = 0, 2y - 6x + 5 = 0 the value of (x, y) is

List the integral values of x which satisfy the inequality -1 &lt; 5 - 2x \(\geq\) 7.

Solve the following equation for x: \(x^2 + \frac{2x}{r^2} + \frac{1}{r^4} = 0\)

Simplify \(\frac{x + 2}{x + 1}\) - \(\frac{x - 2}{x + 2}\)

The thickness of an 800 pages of book is 18mm. Calculate the thickness of one leaf of the book giving your answer in meters and in standard form

Find m such that (m + \(\sqrt{3}\))(1 - \(\sqrt{3}\))2 = 6 - 2\(\sqrt{2}\)

If log102 = 0.3010 and log103 = 0.4771, evaluate; without using logarithm tables, log104.5

Evaluate \(\frac{8^{\frac{1}{3}} \times 5^{\frac{2}{3}}}{10^{\frac{2}{3}}}\) = \(\frac{8^{\frac{1}{3}} \times 5^{\frac{2}{3}}}{10^{\frac{2}{3}}}\)

A tax player is allowed \(\frac{1}{8}\)th of his income tax-free, and pays 20% on the remainder. If he pays ₦490.00 tax, what is his income?

A basket contain green, black and blue balls in the ratio 5 : 2 : 1. If there are 10 blue balls. Find the corresponding new ratio when 10 green and 10 black balls are removed from the basket

Two sisters, Taiwo and Keyinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later, Keyinde sells \(\frac{2}{3}\) of her share to Taiwo for ₦720.00. Find the value of the store.

A 5.0g of salt was weighted by Tunde as 5.1g. What is the percentage error?

Simplify \(\frac{1\frac{1}{2}}{\text{2 + \(\frac{1}{4}\) of 32}}\)

For which of the following exterior angles is a regular polygon possible? i. 36o ii. 18o iii. 15o

Four interior angles of a pentagon are 90o - xo, 90o + xo, 110o - 2xo, 110o + 2xo. Find the fifth interior angle

if x is the addition of the prime numbers between 1 and 6; and y the H.C.F. of 6, 9, 15. Find the product of x and y

\(\begin{array}{c|ccccccc} Scores(x) &amp; 0 &amp; 1 &amp; 2 &amp; 3 &amp; 4 &amp; 5 &amp; 6 \\ \hline Frequency(f) &amp; 7 &amp; 11 &amp; 6 &amp; 7 &amp; 7 &amp; 5 &amp; 3\end{array}\)In the distribution above, the mode…

In a class of 150 students, the sector in a pie chart representing the students offering Physics has angle 12o. How many students are offering Physics?

Find correct to one decimal place, 0.24633 \(\div\) 0.0306

If 7 and 189 are the first and fourth terms of geometric progression respectively, find the sum of the first three terms of the progression

List the integral values of x which satisfy the inequality -1 < 5 - 2x \(\geq\) 7.

\(\begin{array}{c|ccccccc} Scores(x) & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline Frequency(f) & 7 & 11 & 6 & 7 & 7 & 5 & 3\end{array}\)In the distribution above, the mode…