MATH MODULE EXAM WITH CORRECT ACTUAL QUESTIONS AND
CORRECTLY WELL DEFINED ANSWERS LATEST ALREADY
GRADED A+ 2025 – 2026
D. 71/8 - ANSWER-Find k in the equation of the line 5x-2x+k=0 that is tangent to y=6+x^2
A. 25/8
B. 5/12
C. 23/4
D. 71/8
D. 6.67 ft - ANSWER-An arch is in the form of an inverted parabola and has span of 12 feet at
the base and a height of 12 feet. Determine the equation of the parabola and give the vertical
clearance 4 feet from the vertical centerline.
A. 7.33 ft
B. 6.00 ft
C. 5.33 ft
D. 6.67 ft
D. 0.046 - ANSWER-From experience a one-year old boy can distinguish the voice of his
mother is about 90%. From a sample voice of 20 females, find the probability that he can
recognize the voice of his mother.
A. 0.067
B. 0.053
C. 0.032
D. 0.046
,C. 46.67 - ANSWER-14 is 30% of what number?
A. 342
B. 4.2
C. 46.67
D. 2.14
D. 930 - ANSWER-A survey was conducted to find out which of the three leading car brands
they liked best. The results indicated that 500 liked Honda, 470 liked Toyota, and 430 liked Ford.
But of these, 180 liked both Honda and Ford, 140 liked both Honda and Toyota, and 210 liked
both Ford and Toyota. Only 60 liked all the 3 car brands. How many persons responded to the
survey?
A. 910
B. 980
C. 960
D. 930
C. 126 - ANSWER-A basketball coach has a total of 10 players. In how many ways can he field
a team of 5 players if the team captain is always included?
A. 42
B. 70
C. 126
D. 25
A. 592.60 cu. cm - ANSWER-The largest volume of a rectangular box that can be made of a
cardboard 20 sq. in by cutting identical squares on its edges.
A. 592.60 cu. cm
,B. 375.63 cu. cm
C. 615.53 cu. cm
D. 421.94 cu. cm
D. 80 - ANSWER-What is the sum of the first 80 positive odd integers subtracted from the sum
of the first 80 positive even integers?
A. 50
B. 70
C. 60
D. 80
B. Radius Vector - ANSWER-In polar coordinate system, the distance from a point to the pole is
known as:
A. Polar angle
B. Radius vector
C. x-coordinate
D. y-coordinate
A. 16 - ANSWER-Express the power (1+i)^8 in rectangular form.
A. 16
B. 8i
C. 1-i
D.-6
C. 22.2 - ANSWER-A can flow the field in 4 hours less than B. If both will work together, the job
is done in 10 hours. Find the number of hours for B to do the job alone.
, A. 25.5
B. 31.4
C. 22.2
D. 33.5
B. ellipse - ANSWER-The eccentricity of a given curve is less than one, the given curve is:
A. parabola
B. ellipse
C. hyperbola
D. circle
A. 26 - ANSWER-An isosceles triangle of maximum area is inscribed in an ellipse with major
axis 10 cm and minor axis 8 cm. so that the base is parallel to the major axis and the opposite
vertex on at end of the minor axis. Find the area of the triangle.
A. 26
B. 25
C. 24
D. 20
A. 4 - ANSWER-The sum of the ages of two boys is four times the sum of the ages of a certain
number of girls. Four years ago, the sum of the ages of the girls was one eleventh of the sum of
the ages of the boys and eight years hence, the sum of the ages of the girls will be one half that
of the boys. How many girls are there?
A. 4
B. 5
C.6
D. 3
C. 24.17 m/s - ANSWER-A woman travelled 20 m/s for 2 min., 30 m/s for 3min., and 15 m/s for
1 min., Find her average velocity.
CORRECTLY WELL DEFINED ANSWERS LATEST ALREADY
GRADED A+ 2025 – 2026
D. 71/8 - ANSWER-Find k in the equation of the line 5x-2x+k=0 that is tangent to y=6+x^2
A. 25/8
B. 5/12
C. 23/4
D. 71/8
D. 6.67 ft - ANSWER-An arch is in the form of an inverted parabola and has span of 12 feet at
the base and a height of 12 feet. Determine the equation of the parabola and give the vertical
clearance 4 feet from the vertical centerline.
A. 7.33 ft
B. 6.00 ft
C. 5.33 ft
D. 6.67 ft
D. 0.046 - ANSWER-From experience a one-year old boy can distinguish the voice of his
mother is about 90%. From a sample voice of 20 females, find the probability that he can
recognize the voice of his mother.
A. 0.067
B. 0.053
C. 0.032
D. 0.046
,C. 46.67 - ANSWER-14 is 30% of what number?
A. 342
B. 4.2
C. 46.67
D. 2.14
D. 930 - ANSWER-A survey was conducted to find out which of the three leading car brands
they liked best. The results indicated that 500 liked Honda, 470 liked Toyota, and 430 liked Ford.
But of these, 180 liked both Honda and Ford, 140 liked both Honda and Toyota, and 210 liked
both Ford and Toyota. Only 60 liked all the 3 car brands. How many persons responded to the
survey?
A. 910
B. 980
C. 960
D. 930
C. 126 - ANSWER-A basketball coach has a total of 10 players. In how many ways can he field
a team of 5 players if the team captain is always included?
A. 42
B. 70
C. 126
D. 25
A. 592.60 cu. cm - ANSWER-The largest volume of a rectangular box that can be made of a
cardboard 20 sq. in by cutting identical squares on its edges.
A. 592.60 cu. cm
,B. 375.63 cu. cm
C. 615.53 cu. cm
D. 421.94 cu. cm
D. 80 - ANSWER-What is the sum of the first 80 positive odd integers subtracted from the sum
of the first 80 positive even integers?
A. 50
B. 70
C. 60
D. 80
B. Radius Vector - ANSWER-In polar coordinate system, the distance from a point to the pole is
known as:
A. Polar angle
B. Radius vector
C. x-coordinate
D. y-coordinate
A. 16 - ANSWER-Express the power (1+i)^8 in rectangular form.
A. 16
B. 8i
C. 1-i
D.-6
C. 22.2 - ANSWER-A can flow the field in 4 hours less than B. If both will work together, the job
is done in 10 hours. Find the number of hours for B to do the job alone.
, A. 25.5
B. 31.4
C. 22.2
D. 33.5
B. ellipse - ANSWER-The eccentricity of a given curve is less than one, the given curve is:
A. parabola
B. ellipse
C. hyperbola
D. circle
A. 26 - ANSWER-An isosceles triangle of maximum area is inscribed in an ellipse with major
axis 10 cm and minor axis 8 cm. so that the base is parallel to the major axis and the opposite
vertex on at end of the minor axis. Find the area of the triangle.
A. 26
B. 25
C. 24
D. 20
A. 4 - ANSWER-The sum of the ages of two boys is four times the sum of the ages of a certain
number of girls. Four years ago, the sum of the ages of the girls was one eleventh of the sum of
the ages of the boys and eight years hence, the sum of the ages of the girls will be one half that
of the boys. How many girls are there?
A. 4
B. 5
C.6
D. 3
C. 24.17 m/s - ANSWER-A woman travelled 20 m/s for 2 min., 30 m/s for 3min., and 15 m/s for
1 min., Find her average velocity.
