1981 JAMB UTME Mathematics Past Questions

1981

simplify $\frac{6^{2n + 1} \times 9^n \times 4^{2n}}{18^n \times 2^n \times 12^{2n}}$

1981

Two cars X and Y start at the same point and travel towards a point P which is 150km away. If the average speed of Y is 60km per hour and x arrives at P 25 minutes earlier than Y. What is the average speed of X?

1981

Given that 10x = 0.2 and log102 = 0.3010, find x

1981

If log2 y = 3 - log2x $\frac{3}{2}$ find y when x = 4

1981

In $\bigtriangleup$XYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW?

1981

Solve $\frac{1}{x + 1}$ - $\frac{1}{x + 3}$ = $\frac{1}{4}$

1981

Simplify $\frac{\sqrt{2}}{\sqrt{3} - \sqrt{2}}$ - $\frac{3 - 2}{\sqrt{3} + \sqrt{2}}$

1981

In one and a half hours, the minute hand of a clock rotates through an angle of

1981

A micrometer is defined as one millionth of a millimeter

1981

An isosceles triangle of sides 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle?

1981

By selling an article for ₦45.00 a man makes a profit of 80%. For how much should he have sold it in order to make a profit of 32%?

1981

A sum of money invested at 5% per annum simple interest amounts to $285.20 after 3 years. How long will it take the same sum to amount to $434.00 at 7$\frac{1}{2}$% per annum simple interest?

1981

7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age 11years join the class, what is the average age of the pupils now in the class?

1981

If sinxo = what is sin (90 - x)o?

1981

Marks scored by some children in an arithmetic test are:5, 3, 6, 9, 4, 7, 8, 6, 2, 7, 8, 4, 5, 2, 1, 0, 6, 9, 0, 8. The arithmetic mean of the marks is

1981

What is the area between two concentric circles of diameters 26cm and 20cm?

1981

Evaluate correct to 4 decimal places 827.51 x 0.015

1981

A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?

1981

Which of the following fractions is less than one-third?

1981

Find a two-digital number such that three times the terms digit is 2 less than twice the units digit and twice the number is 20 greater than the number obtained by reversing the digits

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1981 JAMB UTME Mathematics Past Questions

simplify \(\frac{6^{2n + 1} \times 9^n \times 4^{2n}}{18^n \times 2^n \times 12^{2n}}\)

Two cars X and Y start at the same point and travel towards a point P which is 150km away. If the average speed of Y is 60km per hour and x arrives at P 25 minutes earlier than Y. What is the average speed of X?

Given that 10x = 0.2 and log102 = 0.3010, find x

If log2 y = 3 - log2x \(\frac{3}{2}\) find y when x = 4

In \(\bigtriangleup\)XYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW?

Solve \(\frac{1}{x + 1}\) - \(\frac{1}{x + 3}\) = \(\frac{1}{4}\)

Simplify \(\frac{\sqrt{2}}{\sqrt{3} - \sqrt{2}}\) - \(\frac{3 - 2}{\sqrt{3} + \sqrt{2}}\)

In one and a half hours, the minute hand of a clock rotates through an angle of

A micrometer is defined as one millionth of a millimeter

An isosceles triangle of sides 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle?

By selling an article for ₦45.00 a man makes a profit of 80%. For how much should he have sold it in order to make a profit of 32%?

A sum of money invested at 5% per annum simple interest amounts to $285.20 after 3 years. How long will it take the same sum to amount to $434.00 at 7\(\frac{1}{2}\)% per annum simple interest?

7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age 11years join the class, what is the average age of the pupils now in the class?

If sinxo = what is sin (90 - x)o?

Marks scored by some children in an arithmetic test are:5, 3, 6, 9, 4, 7, 8, 6, 2, 7, 8, 4, 5, 2, 1, 0, 6, 9, 0, 8. The arithmetic mean of the marks is

What is the area between two concentric circles of diameters 26cm and 20cm?

Evaluate correct to 4 decimal places 827.51 x 0.015

A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?

Which of the following fractions is less than one-third?

Find a two-digital number such that three times the terms digit is 2 less than twice the units digit and twice the number is 20 greater than the number obtained by reversing the digits