PREBOARD EXAMINATION IN MATHEMATICS
ANSWER THE FOLLOWING QUESTIONS CORRECTLY AND QUICKLY. SHADE THE LETTER
OF THE BEST ANSWER. CHEATING IS NOT ALLOWED.
1. What is the allowable error in measuring the edge of a cube that is
intended to hold 8 cu.m, if the error of the compound volume is not to
exceed 0.03m3?
a. 0.002
b. 0.001
c. 0.0025
d. 0.0001
2. A rectangular box having a square base and open top is to have a
capacity of 16823cc. Find the height of the box to use the least amount
of material.
A. 16.14 cm
B. 32.28 cm
C. 18.41 cm
D. 28.74 cm
3. A father is now 41 and his son 9. After how many years will his age
be just triple his son’s age?
a. 6
b. 5
c. 4
d. 7
4. A banca traveled at an average speed of 15 kph downstream and then
back at an average speed of 12 kph upstream. If the total time of travel
is 3 hours, find the total distance traveled by the banca.
a. 40 km
b. 30 km
c. 60 km
d. 50 km
5. A section in a coliseum has 32 seats in the 1st row, 34 in the 2nd
row, 36 in the 3rd row, . . and 48 in the 9th row. From the 10th up to
the 20th row, all have 50 seats. Find the seating capacity of this
section of the coliseum.
a. 908
b. 900
c. 920
d. 910
6. Smallest term that can be factored from a number
a. Greater
b. None of these
c. equal
d. lesser
7. How many horsepower are there in 800 kW?
a. 2072.4 hp
b. 746 hp
c. 1072.4 hp
d. 3072.4 hp
, 8. A man roes downstream at the rate of 5 mph and upstream at the rate
of 2 mph. how far downstream should he go if he is to return 7/4 hour
after leaving?
a. 2.5 mi
b. 3.3 mi
c. 3.1 mi
d. 2.7 mi
9. Find the angular velocity of a flywheel whose radius is 20 ft. if it
is revolving at 20 000 ft/min
a. 500 rad/min
b. 750 rad/min
c. 1000 rad/min
d. 800 rad/min
10. Find the area of parabolic segment whose base is 10 and height of 9
meters.
a. 60 m2
b. 70 m2
c. 75 m2
d. 65 m2
11. A line which a curve approach infinity but will never intersect.
a. Parallel line
b. Assymptote
c. Inclined line
d. Skew line
12. The sum of the coefficients in the expansion of (x+y-z)8 is:
a. From 2 to 5
b. From 5 to 10
c. Above 10
d. Less than 2
13. The tens digit of a two-digit number is 1 less than twice the unit’s
digit. They differ by 4. Find the number.
a. 65
b. 95
c. 84
d. 73
14. At the surface of the earth g=9.806 m/s2. Assuming the earth to be a
sphere of radius 6.371x106m. Compute the mass of the earth.
a. 5.97x1024 kg
b. 5.62 x1024 kg
c. 5.12 x1024 kg
d. 5.97 x1023 kg
15. What is the distance in cm. between two vertices of a cube which are
farthest from each other, if an edge measures 8 cm?
a. 12.32
b. 13.86
c. 8.66
d. 6.93
16. Find the sum of the infinite geometric progression 6, -2, 2/3
a. 9/2
b. 5/2
ANSWER THE FOLLOWING QUESTIONS CORRECTLY AND QUICKLY. SHADE THE LETTER
OF THE BEST ANSWER. CHEATING IS NOT ALLOWED.
1. What is the allowable error in measuring the edge of a cube that is
intended to hold 8 cu.m, if the error of the compound volume is not to
exceed 0.03m3?
a. 0.002
b. 0.001
c. 0.0025
d. 0.0001
2. A rectangular box having a square base and open top is to have a
capacity of 16823cc. Find the height of the box to use the least amount
of material.
A. 16.14 cm
B. 32.28 cm
C. 18.41 cm
D. 28.74 cm
3. A father is now 41 and his son 9. After how many years will his age
be just triple his son’s age?
a. 6
b. 5
c. 4
d. 7
4. A banca traveled at an average speed of 15 kph downstream and then
back at an average speed of 12 kph upstream. If the total time of travel
is 3 hours, find the total distance traveled by the banca.
a. 40 km
b. 30 km
c. 60 km
d. 50 km
5. A section in a coliseum has 32 seats in the 1st row, 34 in the 2nd
row, 36 in the 3rd row, . . and 48 in the 9th row. From the 10th up to
the 20th row, all have 50 seats. Find the seating capacity of this
section of the coliseum.
a. 908
b. 900
c. 920
d. 910
6. Smallest term that can be factored from a number
a. Greater
b. None of these
c. equal
d. lesser
7. How many horsepower are there in 800 kW?
a. 2072.4 hp
b. 746 hp
c. 1072.4 hp
d. 3072.4 hp
, 8. A man roes downstream at the rate of 5 mph and upstream at the rate
of 2 mph. how far downstream should he go if he is to return 7/4 hour
after leaving?
a. 2.5 mi
b. 3.3 mi
c. 3.1 mi
d. 2.7 mi
9. Find the angular velocity of a flywheel whose radius is 20 ft. if it
is revolving at 20 000 ft/min
a. 500 rad/min
b. 750 rad/min
c. 1000 rad/min
d. 800 rad/min
10. Find the area of parabolic segment whose base is 10 and height of 9
meters.
a. 60 m2
b. 70 m2
c. 75 m2
d. 65 m2
11. A line which a curve approach infinity but will never intersect.
a. Parallel line
b. Assymptote
c. Inclined line
d. Skew line
12. The sum of the coefficients in the expansion of (x+y-z)8 is:
a. From 2 to 5
b. From 5 to 10
c. Above 10
d. Less than 2
13. The tens digit of a two-digit number is 1 less than twice the unit’s
digit. They differ by 4. Find the number.
a. 65
b. 95
c. 84
d. 73
14. At the surface of the earth g=9.806 m/s2. Assuming the earth to be a
sphere of radius 6.371x106m. Compute the mass of the earth.
a. 5.97x1024 kg
b. 5.62 x1024 kg
c. 5.12 x1024 kg
d. 5.97 x1023 kg
15. What is the distance in cm. between two vertices of a cube which are
farthest from each other, if an edge measures 8 cm?
a. 12.32
b. 13.86
c. 8.66
d. 6.93
16. Find the sum of the infinite geometric progression 6, -2, 2/3
a. 9/2
b. 5/2
