Geometry And Trigonometry Jamb Mathematics Past Questions
Question 71
A pyramid is constructed on a cuboid. The figure has
- A. twelve faces
- B. thirteen vertices
- C. fourteen edges
- D. fifteen edges
- E. sixteen edges
Question 72
A triangle has angles 30°, 15° and 135°. The side opposite to the angle 30° is length 6cm. The side opposite to the angle 135° is equal to
- A. 12cm
- B. 6cm
- C. 6\(\sqrt{2}\)cm
- D. 12\(\sqrt{2}\)cm
Question 73
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 74
The angle of elevation of the top of a vertical tower from a point A on the ground is 60
o. 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
o. Find the distance of A from the foot of the tower
- A. 3 + \(\sqrt{3}\)
- B. 5 + \(\sqrt{3}\)
- C. 3 - \(\sqrt{3}\)
- D. 1
- E. \(\sqrt{3}\) - 1
Question 75
In the figure, QRS is a line, PSQ = 35°, SPR = 30° and O is the centre of the circle. Find OQP.
- A. 35°
- B. 30°
- C. 130°
- D. 25°
- E. 65°
