2004 JAMB UTME Mathematics Past Questions

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2004

PQRSTV is a regular polygon of side 7 cm inscribed in a circle. Find the circumference of the circle PQRSTV.

2004

The shaded area in the diagram above is represented by

2004

The shadow of a pole \(5\sqrt{3}\)m high is 5m. Find the angle of elevation of the sun.

2004

A farmer planted 5000 grains of maize and harvested 5000 cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the number harvested?

2004

Simplify \(\frac{1}{\sqrt{3}+2}\) in the form \(a+b\sqrt{3}\)

2004

The shaded region in the Venn diagram above is

2004

Evaluate \(\frac{\frac{1}{10}\times\frac{2}{3}+\frac{1}{4}}{\frac{\frac{1}{2}}{\frac{3}{5}}-\frac{1}{4}}\)

2004

Given that 3√42x = 16, find the value of x

2004

Find P, if 4516 - P7 = 3056

2004

If 6logx2 - 3logx3 = 3log50.2, find x.

2004

Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction the the third teacher receive?

2004

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec

2004

Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....

2004

Factorize completely ac - 2bc - a + 4b2

2004

The nth term of two sequences are Qn = 3 . 2n - 2 and Um = 3 . 22m - 3. Find the product of Q2 and U2.

2004

Find the remainder when 3x3 + 5x2 - 11x + 4 is divided by x + 3

2004

If the operation on the set of integers is defined by p Q = \(\sqrt{pq}\), find the value of 4 ( 8 32).

2004

Given that the first and forth terms of G.P are 6 and 162 respectively, find the sum of the first three terms of the progression

2004

2004 JAMB UTME Mathematics Past Questions

PQRSTV is a regular polygon of side 7 cm inscribed in a circle. Find the circumference of the circle PQRSTV.

The shaded area in the diagram above is represented by

The shadow of a pole \(5\sqrt{3}\)m high is 5m. Find the angle of elevation of the sun.

A farmer planted 5000 grains of maize and harvested 5000 cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the number harvested?

Simplify \(\frac{1}{\sqrt{3}+2}\) in the form \(a+b\sqrt{3}\)

The shaded region in the Venn diagram above is

Evaluate \(\frac{\frac{1}{10}\times\frac{2}{3}+\frac{1}{4}}{\frac{\frac{1}{2}}{\frac{3}{5}}-\frac{1}{4}}\)

Given that 3√42x = 16, find the value of x

Find P, if 4516 - P7 = 3056

If 6logx2 - 3logx3 = 3log50.2, find x.

Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction the the third teacher receive?

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec

Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....

Factorize completely ac - 2bc - a + 4b2

The nth term of two sequences are Qn = 3 . 2n - 2 and Um = 3 . 22m - 3. Find the product of Q2 and U2.

Find the remainder when 3x3 + 5x2 - 11x + 4 is divided by x + 3

If the operation on the set of integers is defined by p Q = \(\sqrt{pq}\), find the value of 4 ( 8 32).

Given that the first and forth terms of G.P are 6 and 162 respectively, find the sum of the first three terms of the progression

What is the integral value of x which satisfy the inequality -1 < 3 -2x \(\leq\) 5?

y = is inversely proportional to x and y = 4 when x = 1/2. Find x when y = 10.

2004 JAMB UTME Mathematics Past Questions

PQRSTV is a regular polygon of side 7 cm inscribed in a circle. Find the circumference of the circle PQRSTV.

The shaded area in the diagram above is represented by

The shadow of a pole \(5\sqrt{3}\)m high is 5m. Find the angle of elevation of the sun.

A farmer planted 5000 grains of maize and harvested 5000 cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the number harvested?

Simplify \(\frac{1}{\sqrt{3}+2}\) in the form \(a+b\sqrt{3}\)

The shaded region in the Venn diagram above is

Evaluate \(\frac{\frac{1}{10}\times\frac{2}{3}+\frac{1}{4}}{\frac{\frac{1}{2}}{\frac{3}{5}}-\frac{1}{4}}\)

Given that 3√42x = 16, find the value of x

Find P, if 4516 - P7 = 3056

If 6logx2 - 3logx3 = 3log50.2, find x.

Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction the the third teacher receive?

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec

Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....

Factorize completely ac - 2bc - a + 4b2

The nth term of two sequences are Qn = 3 . 2n - 2 and Um = 3 . 22m - 3. Find the product of Q2 and U2.

Find the remainder when 3x3 + 5x2 - 11x + 4 is divided by x + 3

If the operation on the set of integers is defined by p Q = \(\sqrt{pq}\), find the value of 4 ( 8 32).

Given that the first and forth terms of G.P are 6 and 162 respectively, find the sum of the first three terms of the progression

What is the integral value of x which satisfy the inequality -1 &lt; 3 -2x \(\leq\) 5?

y = is inversely proportional to x and y = 4 when x = 1/2. Find x when y = 10.

What is the integral value of x which satisfy the inequality -1 < 3 -2x \(\leq\) 5?