1991 JAMB UTME Mathematics Past Questions

1991

What is the nth term of the progression 27, 9, 3,......?

1991

Find the range of values of x which satisfy the inequality \(\frac{x}{2}\) + \(\frac{x}{3}\) + \(\frac{x}{4}\) < 1

1991

Find the two values of y which satisfy the simultaneous equation 3x + y = 8, x2 + xy = 6

1991

Which of the following is a factor of rs + tr - pt - ps?

1991

Factorize 1 - (a - b)2

1991

Factorize m3 - 2m2 - m + 2

1991

If g(x) = x2 + 3x + 4, find g(x + 1) - g(x)

1991

If w varies inversely as \(\frac{ur}{u + r}\) and is equal to 8 when u = 2 and r = 6, find a relationship between u, v, w.

1991

A car travels from calabar to Enugu, a distance of p km with an average speed of u km per hour and continues to benin, a distance of q km, with an average speed of w km per hour. Find its average speed from Calabar to Be…

1991

Evaluate \(\frac{xy^2 - x^2y}{x^2 - xy^1}\), when x = -2 and y = 2

1991

Multiply (x2 - 3x + 1) by (x - a)

1991

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

1991

Simplify 2log \(\frac{2}{5}\) - log\(\frac{72}{125}\) + log 9

1991

What is the product of \(\frac{27}{5^1}\)(3)-3 and \(\frac{(1)^{-1}}{5}\)?

1991

If 3 gallons of spirit containing 20% water are added to 5 gallons of another spirit containing 15% water, what percentage of the mixture is water?

1991

Musa borrows ₦10.00 at 2% per month simple interest and repays ₦8.00 after 4 months. How much does he still owe

1991

Factory P produces 20,000 bags of cement per day while factory Q produces 15,000 bags per day. If P reduces production by 5% and Q increases production by 5%, determine the effective loss in the number of bags produced p…

1991

express 62 \(\div\) 3 as a decimal correct to 3 significant figures

1991

1991 JAMB UTME Mathematics Past Questions

What is the nth term of the progression 27, 9, 3,......?

Find the range of values of x which satisfy the inequality \(\frac{x}{2}\) + \(\frac{x}{3}\) + \(\frac{x}{4}\) < 1

Find the two values of y which satisfy the simultaneous equation 3x + y = 8, x2 + xy = 6

Which of the following is a factor of rs + tr - pt - ps?

Factorize 1 - (a - b)2

Factorize m3 - 2m2 - m + 2

If g(x) = x2 + 3x + 4, find g(x + 1) - g(x)

If w varies inversely as \(\frac{ur}{u + r}\) and is equal to 8 when u = 2 and r = 6, find a relationship between u, v, w.

A car travels from calabar to Enugu, a distance of p km with an average speed of u km per hour and continues to benin, a distance of q km, with an average speed of w km per hour. Find its average speed from Calabar to Be…

Evaluate \(\frac{xy^2 - x^2y}{x^2 - xy^1}\), when x = -2 and y = 2

Multiply (x2 - 3x + 1) by (x - a)

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

Simplify 2log \(\frac{2}{5}\) - log\(\frac{72}{125}\) + log 9

What is the product of \(\frac{27}{5^1}\)(3)-3 and \(\frac{(1)^{-1}}{5}\)?

If 3 gallons of spirit containing 20% water are added to 5 gallons of another spirit containing 15% water, what percentage of the mixture is water?

Musa borrows ₦10.00 at 2% per month simple interest and repays ₦8.00 after 4 months. How much does he still owe

Factory P produces 20,000 bags of cement per day while factory Q produces 15,000 bags per day. If P reduces production by 5% and Q increases production by 5%, determine the effective loss in the number of bags produced p…

express 62 \(\div\) 3 as a decimal correct to 3 significant figures

Find correct to 3 decimal places (\(\frac{1}{0.05}\) + \(\frac{1}{5.005}\)) - (0.05 x 2.05)

If 2257 is the result of subtracting 4577 from 7056 in base n, find n

1991 JAMB UTME Mathematics Past Questions

What is the nth term of the progression 27, 9, 3,......?

Find the range of values of x which satisfy the inequality \(\frac{x}{2}\) + \(\frac{x}{3}\) + \(\frac{x}{4}\) &lt; 1

Find the two values of y which satisfy the simultaneous equation 3x + y = 8, x2 + xy = 6

Which of the following is a factor of rs + tr - pt - ps?

Factorize 1 - (a - b)2

Factorize m3 - 2m2 - m + 2

If g(x) = x2 + 3x + 4, find g(x + 1) - g(x)

If w varies inversely as \(\frac{ur}{u + r}\) and is equal to 8 when u = 2 and r = 6, find a relationship between u, v, w.

A car travels from calabar to Enugu, a distance of p km with an average speed of u km per hour and continues to benin, a distance of q km, with an average speed of w km per hour. Find its average speed from Calabar to Be…

Evaluate \(\frac{xy^2 - x^2y}{x^2 - xy^1}\), when x = -2 and y = 2

Multiply (x2 - 3x + 1) by (x - a)

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

Simplify 2log \(\frac{2}{5}\) - log\(\frac{72}{125}\) + log 9

What is the product of \(\frac{27}{5^1}\)(3)-3 and \(\frac{(1)^{-1}}{5}\)?

If 3 gallons of spirit containing 20% water are added to 5 gallons of another spirit containing 15% water, what percentage of the mixture is water?

Musa borrows ₦10.00 at 2% per month simple interest and repays ₦8.00 after 4 months. How much does he still owe

Factory P produces 20,000 bags of cement per day while factory Q produces 15,000 bags per day. If P reduces production by 5% and Q increases production by 5%, determine the effective loss in the number of bags produced p…

express 62 \(\div\) 3 as a decimal correct to 3 significant figures

Find correct to 3 decimal places (\(\frac{1}{0.05}\) + \(\frac{1}{5.005}\)) - (0.05 x 2.05)

If 2257 is the result of subtracting 4577 from 7056 in base n, find n

Find the range of values of x which satisfy the inequality \(\frac{x}{2}\) + \(\frac{x}{3}\) + \(\frac{x}{4}\) < 1