2005 JAMB UTME Mathematics Past Questions

2005

Three straight lines EF, GH and LK interest at O as shown above. If ∠KOF = 52\(^{\circ}\) and ∠LOH = 85\(^{\circ}\), calculate the size of ∠EOG.

2005

An operation * is defined on the set of real numbers by a * b = ab + 2(a + b + 1). find the identity elements

2005

Find the sum of the first 20 terms of the series 8, 12, 16, ....., 96

2005

If the 7th term of an AP is twice the third term and the sum of the first four terms is 42, find the common difference.

2005

The diagram above is the graph of the function f(x). Determined the range of values of x for which f(x) \(\leq\) 0

2005

Find the range of values of x for which 7x - 3 > 25 + 3x

2005

The weight W kg of a metal bar varies jointly as its length L meters and the square of its diameter d meters. If w = 140 when d = 42/3 and L = 54, find d in terms of W and L.

2005

The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 30 men to do a piece of work in 6 days, how many men are required to do the work in 4 days?

2005

A polynomial in x whose zeros are -2, -1 and 3 is

2005

If m = 3, p = -3, q = 7 and r = 5/2, evaluate m(p+q+r)

2005

The venn diagram above shows a class of 40 students with the games they play. How many of the students play two games only?

2005

Simplify \(\frac{(√12-√3)}{(√12+√3)}\)

2005

If Log102 = 0.3010 and Log103 = 0.4771, evaluate Log104.5

2005

Evaluate \(\frac{(81^{\frac{3}{4}}-27^{\frac{1}{3}})}{3 \times 2^3}\)

2005

If the interest on N150.00 for 21/2 years is N4.50, find the interest on N250.00 for 6 months at the same rate

2005

Simplify 31/2 - (21/3 * 11/4) + 3/5

2005

If 3214 is divided by 234 and leaves a remainder r, what is the value of r?

2005

Find the value of m if 13m + 24m = 41m

2005

From the diagram given, find the bearing of R from S

2005

In the diagram above, O is the centre of the circle, If < UOT = 70\(^{\circ}\) and < RST = 100\(^{\circ}\). Calculate < RUO

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2005 JAMB UTME Mathematics Past Questions

Three straight lines EF, GH and LK interest at O as shown above. If ∠KOF = 52\(^{\circ}\) and ∠LOH = 85\(^{\circ}\), calculate the size of ∠EOG.

An operation * is defined on the set of real numbers by a * b = ab + 2(a + b + 1). find the identity elements

Find the sum of the first 20 terms of the series 8, 12, 16, ....., 96

If the 7th term of an AP is twice the third term and the sum of the first four terms is 42, find the common difference.

The diagram above is the graph of the function f(x). Determined the range of values of x for which f(x) \(\leq\) 0

Find the range of values of x for which 7x - 3 &gt; 25 + 3x

The weight W kg of a metal bar varies jointly as its length L meters and the square of its diameter d meters. If w = 140 when d = 42/3 and L = 54, find d in terms of W and L.

The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 30 men to do a piece of work in 6 days, how many men are required to do the work in 4 days?

A polynomial in x whose zeros are -2, -1 and 3 is

If m = 3, p = -3, q = 7 and r = 5/2, evaluate m(p+q+r)

The venn diagram above shows a class of 40 students with the games they play. How many of the students play two games only?

Simplify \(\frac{(√12-√3)}{(√12+√3)}\)

If Log102 = 0.3010 and Log103 = 0.4771, evaluate Log104.5

Evaluate \(\frac{(81^{\frac{3}{4}}-27^{\frac{1}{3}})}{3 \times 2^3}\)

If the interest on N150.00 for 21/2 years is N4.50, find the interest on N250.00 for 6 months at the same rate

Simplify 31/2 - (21/3 * 11/4) + 3/5

If 3214 is divided by 234 and leaves a remainder r, what is the value of r?

Find the value of m if 13m + 24m = 41m

From the diagram given, find the bearing of R from S

In the diagram above, O is the centre of the circle, If &lt; UOT = 70\(^{\circ}\) and &lt; RST = 100\(^{\circ}\). Calculate &lt; RUO

Find the range of values of x for which 7x - 3 > 25 + 3x

In the diagram above, O is the centre of the circle, If < UOT = 70\(^{\circ}\) and < RST = 100\(^{\circ}\). Calculate < RUO