1985 JAMB UTME Mathematics Past Questions

1985

In \(\bigtriangleup\) XYZ, XY = 13cm, YZ = 9cm, XZ = 11cm and XYZ = \(\theta\). Find cos\(\theta\)o

1985

If f(x - 2) = 4x2 + x + 7, find f(1)

1985

Solve the simultaneous equations 2x - 3y + 10 = 10x - 6y = 5

1985

Solve the following equation \(\frac{2}{2r - 1}\) - \(\frac{5}{3}\) = \(\frac{1}{r + 2}\)

1985

Solve for (x, y) in the equation 2x + y = 4: x^2 + xy = -12

1985

If the quadratic function 3x2 - 7x + R is a perfect square, find R

1985

At what real value of x do the curves whose equations are y = x3 + x and y = x2 + 1 intersect?

1985

Factorize abx2 + 8y - 4bx - 2axy

1985

If 32y + 6(3y) = 27. Find y

1985

The factors of 9 - (x2 - 3x - 1)2 are

1985

In a restaurant, the cost of providing a particular type of food is partly constant and partially inversely proportional to the number of people. If cost per head for 100 people is 30k and the cost for 40 people is 60k,…

1985

(\(\sqrt{2} + 4\sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\)) is equal to

1985

If ex = 1 + \(\frac{x}{2}\) + \(\frac{x^2}{1.2}\) + \(\frac{x^3}{1.2.3}\) + .....Find \(\frac{1}{e^x}\)

1985

Find the values of p for which the equation x2 - (p - 2)x + 2p + 1 = 0

1985

22\(\frac{1}{2}\)% of the Nigerian Naira is equal to 17\(\frac{1}{10}\)% of a foreign currency M. What is the conversion rate of the M to the Naira?

1985

Write h in terms of a, b, c, d if a = \(\frac{b(1 - ch)}{a - dh}\)

1985

Find x if log9x = 1.5

1985

John gives one-third of his money to Janet who has ₦105.00. He then finds that his money is reduced to one-fourth of what Janet now has. Find how much money john has at first

1985

1985 JAMB UTME Mathematics Past Questions

In \(\bigtriangleup\) XYZ, XY = 13cm, YZ = 9cm, XZ = 11cm and XYZ = \(\theta\). Find cos\(\theta\)o

If f(x - 2) = 4x2 + x + 7, find f(1)

Solve the simultaneous equations 2x - 3y + 10 = 10x - 6y = 5

Solve the following equation \(\frac{2}{2r - 1}\) - \(\frac{5}{3}\) = \(\frac{1}{r + 2}\)

Solve for (x, y) in the equation 2x + y = 4: x^2 + xy = -12

If the quadratic function 3x2 - 7x + R is a perfect square, find R

At what real value of x do the curves whose equations are y = x3 + x and y = x2 + 1 intersect?

Factorize abx2 + 8y - 4bx - 2axy

If 32y + 6(3y) = 27. Find y

The factors of 9 - (x2 - 3x - 1)2 are

In a restaurant, the cost of providing a particular type of food is partly constant and partially inversely proportional to the number of people. If cost per head for 100 people is 30k and the cost for 40 people is 60k,…

(\(\sqrt{2} + 4\sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\)) is equal to

If ex = 1 + \(\frac{x}{2}\) + \(\frac{x^2}{1.2}\) + \(\frac{x^3}{1.2.3}\) + .....Find \(\frac{1}{e^x}\)

Find the values of p for which the equation x2 - (p - 2)x + 2p + 1 = 0

22\(\frac{1}{2}\)% of the Nigerian Naira is equal to 17\(\frac{1}{10}\)% of a foreign currency M. What is the conversion rate of the M to the Naira?

Write h in terms of a, b, c, d if a = \(\frac{b(1 - ch)}{a - dh}\)

Find x if log9x = 1.5

John gives one-third of his money to Janet who has ₦105.00. He then finds that his money is reduced to one-fourth of what Janet now has. Find how much money john has at first

Find correct to two decimals places 100 + \(\frac{1}{100}\) + \(\frac{3}{1000}\) + \(\frac{27}{10000}\)

List all integers satisfying the inequality -1 \(\leq\) 2 x -6 < 4.

1985 JAMB UTME Mathematics Past Questions

In \(\bigtriangleup\) XYZ, XY = 13cm, YZ = 9cm, XZ = 11cm and XYZ = \(\theta\). Find cos\(\theta\)o

If f(x - 2) = 4x2 + x + 7, find f(1)

Solve the simultaneous equations 2x - 3y + 10 = 10x - 6y = 5

Solve the following equation \(\frac{2}{2r - 1}\) - \(\frac{5}{3}\) = \(\frac{1}{r + 2}\)

Solve for (x, y) in the equation 2x + y = 4: x^2 + xy = -12

If the quadratic function 3x2 - 7x + R is a perfect square, find R

At what real value of x do the curves whose equations are y = x3 + x and y = x2 + 1 intersect?

Factorize abx2 + 8y - 4bx - 2axy

If 32y + 6(3y) = 27. Find y

The factors of 9 - (x2 - 3x - 1)2 are

In a restaurant, the cost of providing a particular type of food is partly constant and partially inversely proportional to the number of people. If cost per head for 100 people is 30k and the cost for 40 people is 60k,…

(\(\sqrt{2} + 4\sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\)) (\(\sqrt{3} + \sqrt{2}\)) is equal to

If ex = 1 + \(\frac{x}{2}\) + \(\frac{x^2}{1.2}\) + \(\frac{x^3}{1.2.3}\) + .....Find \(\frac{1}{e^x}\)

Find the values of p for which the equation x2 - (p - 2)x + 2p + 1 = 0

22\(\frac{1}{2}\)% of the Nigerian Naira is equal to 17\(\frac{1}{10}\)% of a foreign currency M. What is the conversion rate of the M to the Naira?

Write h in terms of a, b, c, d if a = \(\frac{b(1 - ch)}{a - dh}\)

Find x if log9x = 1.5

John gives one-third of his money to Janet who has ₦105.00. He then finds that his money is reduced to one-fourth of what Janet now has. Find how much money john has at first

Find correct to two decimals places 100 + \(\frac{1}{100}\) + \(\frac{3}{1000}\) + \(\frac{27}{10000}\)

List all integers satisfying the inequality -1 \(\leq\) 2 x -6 &lt; 4.

List all integers satisfying the inequality -1 \(\leq\) 2 x -6 < 4.