Jamb Mathematics 1978 Past Questions and Answers

Question 31:

• JAMB 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

A. 1cm
B. \(\sqrt{\frac{3\pi}{24}}\)
C. \(\frac{\pi}{24\sqrt{3}}\)
D. 24\(\sqrt{3}\)

Question 32:

• JAMB 1978

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

A. 1, 0
B. 1, 1
C. 2, 2
D. 0, 2
E. 1, 2

Question 33:

• JAMB 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?

A. The volume of the sphere is greater than the volume of the cone
B. The volume of the cone is less than the volume of the cylinder
C. The total surface area of the cone is greater than that of the sphere
D. The total surface area of the cylinder is less than that of the sphere
E. The total sufeac area of the cone is equal to that of the cylinder

Question 34:

• JAMB 1978

The quantity (x + y) is a factor of

A. X² + y²
B. X³ - y³
C. 2x² - 3xy + y² - x + 1
D. 2x³ + 2x²y - xy + 3x - y² + 3y
E. X⁵ - y⁵

Question 35:

• JAMB 1978

Two triangles have the same areas if

A. Two sides in one triangle are equal to two sides in the other
B. Three sides in one triangle are equal to three sides in the other
C. Two angles in the triangle are equal to two angles in the other
D. Three angles in one triangle are equal to three angles in the other
E. One side and the opposite angle in one triangle are equal to one side and the opposite angle in the other