1987 JAMB UTME Mathematics Past Questions

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1987

Solve the inequality x - 1 > 4(x + 2)

1987

Find the values of y which satisfy the simultaneous equations x + y = 5, x2 - 2y2 = 1

1987

Factorize 62x + 1 + 7(6x) - 5

1987

Find the values of m which make the following quadratic function a perfect square. x2 + 2(m + 1)x + m + 3

1987

Make y the subject of the formula Z = x2 + \(\frac{1}{y^3}\)

1987

If P varies inversely as V and V varies directly as R2, find the relationship between P and R given that R = 7 when P = 2.

1987

The formula Q = 1.5 + 0.5n gives the cost Q(in Naira)of feeding n people one additional person

1987

If a = u2 - 3v2 and b = 2uv + v2, evaluate (2a - b)(a - b2) when u = 1 and v = -1

1987

If P = \(\frac{2}{3}\) (\(\frac{1 - r^2}{n^2}\)), find n when r = \(\frac{1}{3}\) and p = 1

1987

Simplify without using tables \(\frac{2\sqrt{14} \times 3\sqrt{21}}{7\sqrt{24} \times 2\sqrt{98}}\)

1987

Simplify without using tables \(\frac{log_26}{log_28}\) - \(\frac{log_23}{log_2\frac{1}{2}}\)

1987

Evaluate without using tables \((0.008)^{-\frac{1}{3}} \times (0.16)^{-\frac{3}{2}}\)

1987

Four boys and ten girls can cut a field in 5 hours if the boys work at \(\frac{5}{4}\) the rate at which the girls work. How many boys will be needed to cut the field in 3 hours?

1987

By selling 20 oranges for ₦1.35 a trader makes a profit of 8%. What is his percentage gain or loss if he sells the same 20 oranges for ₦1.10?

1987

A man invests a sum of money at 4% per annum simple invest. After 3 years, the principal amounts to ₦7,000.00. Find the sum invested

1987

Two brothers invested a total of ₦5,000.00 on a farm project, the farm yield was sold for ₦15,000.00 at the end of the season. If the profit was shared in the ratio 2 : 3, what is the difference in the amount to profit r…

1987

If the length of a square is increased by 20% while while its width is decreased by 20% to form a rectangle, what is the ratio of the area of the rectangle to the area of the square?

1987

A train moves from P to Q at an average speed of 90km/h and immediately returns from Q to P through the same route at an average speed of 45km/h. Find the average speed for the entire journey

1987

Reduce each number to two significant figures and then evaluate \(\frac{0.021741 \times 1.2047}{0.023789}\)

1987

A rectangular lawn has an area of 1815 square yards. if its length is 50 meters, find its width in meters given that 1 metre equals 1.1 yards

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1987 JAMB UTME Mathematics Past Questions

Solve the inequality x - 1 &gt; 4(x + 2)

Find the values of y which satisfy the simultaneous equations x + y = 5, x2 - 2y2 = 1

Factorize 62x + 1 + 7(6x) - 5

Find the values of m which make the following quadratic function a perfect square. x2 + 2(m + 1)x + m + 3

Make y the subject of the formula Z = x2 + \(\frac{1}{y^3}\)

If P varies inversely as V and V varies directly as R2, find the relationship between P and R given that R = 7 when P = 2.

The formula Q = 1.5 + 0.5n gives the cost Q(in Naira)of feeding n people one additional person

If a = u2 - 3v2 and b = 2uv + v2, evaluate (2a - b)(a - b2) when u = 1 and v = -1

If P = \(\frac{2}{3}\) (\(\frac{1 - r^2}{n^2}\)), find n when r = \(\frac{1}{3}\) and p = 1

Simplify without using tables \(\frac{2\sqrt{14} \times 3\sqrt{21}}{7\sqrt{24} \times 2\sqrt{98}}\)

Simplify without using tables \(\frac{log_26}{log_28}\) - \(\frac{log_23}{log_2\frac{1}{2}}\)

Evaluate without using tables \((0.008)^{-\frac{1}{3}} \times (0.16)^{-\frac{3}{2}}\)

Four boys and ten girls can cut a field in 5 hours if the boys work at \(\frac{5}{4}\) the rate at which the girls work. How many boys will be needed to cut the field in 3 hours?

By selling 20 oranges for ₦1.35 a trader makes a profit of 8%. What is his percentage gain or loss if he sells the same 20 oranges for ₦1.10?

A man invests a sum of money at 4% per annum simple invest. After 3 years, the principal amounts to ₦7,000.00. Find the sum invested

Two brothers invested a total of ₦5,000.00 on a farm project, the farm yield was sold for ₦15,000.00 at the end of the season. If the profit was shared in the ratio 2 : 3, what is the difference in the amount to profit r…

If the length of a square is increased by 20% while while its width is decreased by 20% to form a rectangle, what is the ratio of the area of the rectangle to the area of the square?

A train moves from P to Q at an average speed of 90km/h and immediately returns from Q to P through the same route at an average speed of 45km/h. Find the average speed for the entire journey

Reduce each number to two significant figures and then evaluate \(\frac{0.021741 \times 1.2047}{0.023789}\)

A rectangular lawn has an area of 1815 square yards. if its length is 50 meters, find its width in meters given that 1 metre equals 1.1 yards

Solve the inequality x - 1 > 4(x + 2)