1978
In the figure, O is the centre of the circle ABC, < CED = 30\(^{\circ}\), < EDA = 40\(^{\circ}\). What is the size of < ABC?
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1978 JAMB UTME Mathematics Past Questions
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.
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1978
In the figure, AB is parallel to CD then x + y + z is
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1978
In the figure, DE//BC: DB//FE: DE = 2cm, FC = 3cm, AE = 4cm. Determine the length of EC.
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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
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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
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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
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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…
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1978
Evaluate without using tables sin(-1290\(^{\circ}\))
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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
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1978
Simplify \(\frac{(a^2 - \frac{1}{a}) + (a^{\frac{4}{3}} + a^{\frac{2}{3}})}{a^2 \frac{1}{a}^2}\)
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1978
Without using tables, simplify \(\frac{1n \sqrt{216} - 1n \sqrt{125} - 1n\sqrt{8}}{2(1n3 - 1n5)}\)
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1978
The locus of all points having a distance of 1 unit from each of the two fixed points a and b is
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1978
Assuming loge 4.4 = 1.4816 and loge 7.7 = 2.0142, then the value of loge \(\frac{7}{4}\) is
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1978
If (25)x - 1 = 64(\(\frac{5}{2}\))6, then x has the value
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1978
Two triangles have the same areas if
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1978
The quantity (x + y) is a factor of
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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?
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1978
The set of value of x and y which satisfies the equations x2 - y - 1 = 0 and y - 2x + 2 = 0 is
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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
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