Math Reviewer

MOCK BOARD EXAMINATION: RETAKE MATHEMATICS, SURVEYING AND TRANSPORTATION ENGINEERING

SET B

MAPUA INSTITUTE OF TECHNOLOGY DEPARTMENT OF CEGE

INSTRUCTIONS: Select the best answer for each of the following questions. Mark only one answer for each item by shading the box corresponding to the letter of your choice on the answer sheet provided. If your answer is not among the choices provided shade the box corresponding to letter E.STRICTLY NO ERASURES ALLOWED. 1.

In the order of direct proportionality, x:y as 7.5:9.5 on the other hand y:z as 12.5:3.5. if z has an original value of 76.48, find the value of x. A.123.64 C. 384.14 B.215.50 D. 403.14

2.

A rectangle ABCD is given such that AB is 5 units of measure while BC is 2 units. A solid is to be formed by rotating the rectangle around side AB. Determine its volume in square units. A.61.23 cu.units C. 61.43 cu.units B.62.83 cu.units D. 65.46 cu.units

3.

Given the two conics: x^2+3y^2=4 and x^2+y^2=3. Which of the following is their point of intersection? A. (-0.707, 2.5)

B. (0.707, 2)

C. (0.5, 2.5)

D. (-0.5, -2.5)

4.

A water tank is in the form of a sphere. It is filled with water to a depth of 30 cm. the inner diameter of the tank is 45 cm, what is the volume of water in it in liters? A.18.25 liters C. 28.49 liters B. 21.61 liters D.35.34 liters

5.

A regular hexagon is inscribed in a circle having an area of 158 square cm. Find the area of the circle not covered by hexagon. A. 32.34 B. 27.34 C. 22.98 D. 45.63

6.

The surface area of a sphere is 3217 square cm. Determine the volume of the sphere in cu m. A. 13982 B. 15092 C. 17157 D. 14764

7.

Jim and Joe, working together can print this preboard in 6 and 2/3 hours. Jim became intoxicated with alcohol after 3 hours of working with Joe, and Joe finished the printing alone in 8.25 hours. How long will Joe do the printing alone? A. 12 hours B. 13 hours C. 14 hours D. 15 hours

MOCK BOARD EXAMINATION: RETAKE MATHEMATICS, SURVEYING AND TRANSPORTATION ENGINEERING MAPUA INSTITUTE OF TECHNOLOGY DEPARTMENT OF CEGE

SET B