1978 JAMB UTME Mathematics Past Questions

Ulearngo is an independent study app. It is not affiliated with, endorsed by, or representing Joint Admissions and Matriculation Board (JAMB). Always confirm official exam, admission, registration, syllabus, timetable, and result information from JAMB official website.

JAMB official website

1978

In the figure, O is the centre of the circle ABC, < CED = 30\(^{\circ}\), < EDA = 40\(^{\circ}\). What is the size of < ABC?

1978

In the Figure FD\\AC, the area of AEF = 6sq.cm. AE = 3cm, BC = 3cm, CD = 5cm, < BCD is an obtuse angle. Find the length of BD.

1978

In the figure, AB is parallel to CD then x + y + z is

1978

In the figure, DE//BC: DB//FE: DE = 2cm, FC = 3cm, AE = 4cm. Determine the length of EC.

1978

The smallest number such that when it is divided by 3 has a remainder of 6 and when it is divided by 9, has a remainder of 7 is

1978

Add the same number to the numerator and denominator of \(\frac{3}{18}\). If the resulting fraction is \(\frac{1}{2}\), then the number added is

1978

The vectors a and b are given in terms of two perpendicular units vectors i and j on a plane by a = 2i - 3j, b = -i + 2j. Find the magnitude of the vector a + 3b

1978

The angle of elevation of the top of a vertical tower from a point A on the ground is 60\(^{\circ}\). From a point B, 2 units of distance further away from the foot of the tower, the angle of elevation of the tower is 45…

1978

Evaluate without using tables sin(-1290\(^{\circ}\))

1978

If x4 - kx3 + 10x2 + 1x - 3 is divisible by (x - 1), and if when it is divided by (x + 2) the remainder is 27, find the constants k and 1

1978

Simplify \(\frac{(a^2 - \frac{1}{a}) + (a^{\frac{4}{3}} + a^{\frac{2}{3}})}{a^2 \frac{1}{a}^2}\)

1978

Without using tables, simplify \(\frac{1n \sqrt{216} - 1n \sqrt{125} - 1n\sqrt{8}}{2(1n3 - 1n5)}\)

1978

The locus of all points having a distance of 1 unit from each of the two fixed points a and b is

1978

Assuming loge 4.4 = 1.4816 and loge 7.7 = 2.0142, then the value of loge \(\frac{7}{4}\) is

1978

If (25)x - 1 = 64(\(\frac{5}{2}\))6, then x has the value

1978

Two triangles have the same areas if

1978

The quantity (x + y) is a factor of

1978

A solid sphere of radius 3cm, a solid right cone of radius 3cm and height 12cm and a solid right circular cycular of radius 3cm and height 4cm.Which of the following statements is true?

1978

The set of value of x and y which satisfies the equations x2 - y - 1 = 0 and y - 2x + 2 = 0 is

1978

A hollow right prism of equilateral triangular base of side 4cm is filled with water up to a certain height. If a sphere of radius \(\frac{1}{2}\)cm is immersed in the water, then the rise of water is

1 2 3

1978 JAMB UTME Mathematics Past Questions

In the figure, O is the centre of the circle ABC, &lt; CED = 30\(^{\circ}\), &lt; EDA = 40\(^{\circ}\). What is the size of &lt; ABC?

In the Figure FD\\AC, the area of AEF = 6sq.cm. AE = 3cm, BC = 3cm, CD = 5cm, &lt; BCD is an obtuse angle. Find the length of BD.

In the figure, AB is parallel to CD then x + y + z is

In the figure, DE//BC: DB//FE: DE = 2cm, FC = 3cm, AE = 4cm. Determine the length of EC.

The smallest number such that when it is divided by 3 has a remainder of 6 and when it is divided by 9, has a remainder of 7 is

Add the same number to the numerator and denominator of \(\frac{3}{18}\). If the resulting fraction is \(\frac{1}{2}\), then the number added is

The vectors a and b are given in terms of two perpendicular units vectors i and j on a plane by a = 2i - 3j, b = -i + 2j. Find the magnitude of the vector a + 3b

The angle of elevation of the top of a vertical tower from a point A on the ground is 60\(^{\circ}\). From a point B, 2 units of distance further away from the foot of the tower, the angle of elevation of the tower is 45…

Evaluate without using tables sin(-1290\(^{\circ}\))

If x4 - kx3 + 10x2 + 1x - 3 is divisible by (x - 1), and if when it is divided by (x + 2) the remainder is 27, find the constants k and 1

Simplify \(\frac{(a^2 - \frac{1}{a}) + (a^{\frac{4}{3}} + a^{\frac{2}{3}})}{a^2 \frac{1}{a}^2}\)

Without using tables, simplify \(\frac{1n \sqrt{216} - 1n \sqrt{125} - 1n\sqrt{8}}{2(1n3 - 1n5)}\)

The locus of all points having a distance of 1 unit from each of the two fixed points a and b is

Assuming loge 4.4 = 1.4816 and loge 7.7 = 2.0142, then the value of loge \(\frac{7}{4}\) is

If (25)x - 1 = 64(\(\frac{5}{2}\))6, then x has the value

Two triangles have the same areas if

The quantity (x + y) is a factor of

A solid sphere of radius 3cm, a solid right cone of radius 3cm and height 12cm and a solid right circular cycular of radius 3cm and height 4cm.Which of the following statements is true?

The set of value of x and y which satisfies the equations x2 - y - 1 = 0 and y - 2x + 2 = 0 is

A hollow right prism of equilateral triangular base of side 4cm is filled with water up to a certain height. If a sphere of radius \(\frac{1}{2}\)cm is immersed in the water, then the rise of water is

In the figure, O is the centre of the circle ABC, < CED = 30\(^{\circ}\), < EDA = 40\(^{\circ}\). What is the size of < ABC?

In the Figure FD\\AC, the area of AEF = 6sq.cm. AE = 3cm, BC = 3cm, CD = 5cm, < BCD is an obtuse angle. Find the length of BD.