Civil Engineering Quiz Bee Questions I

CIVIL ENGINEERING QUIZ SHOW 2012

1.

ELIMINATION ROUND – JUNIOR LEVEL

The world population is 8 billion and it is increasing at the rate of about 2 percent per year. If it continues to increase at this rate, what will be the population after 3 years?

NAME: ________________________________________________________

SCORE

YEAR & SECTION: ____________________________________________

2.

student made a mistake in the coefficient of the first-degree term, got roots

INSTRUCTIONS:

1.

Two CE students are solving a problem leading to a quadratic equation. One

of 2 and -3. The other student made a mistake in the coefficient of the constant term, got roots of -1 and 4. What is the correct equation?

Write your name, year, and section at the top of the questionnaire and scratch paper. Make sure that your questionnaire contains 2 sheets. Do not separate the sheets of the questionnaire. Also, you must be provided with 3 letter-size scratch paper; use it for your solutions.

2.

Fill in the box following each item with your final answer. Please write

3.

legibly. Anything written outside the boxes will be treated as scratch.

A test has 42 questions. Each question is worth 2 points or 3 points. A perfect score is 100 points. How many 3-point questions are there?

Should you wish to change your answer, cross your previous answer out and write your final answer within the box.

3.

Only complete answers with proper units will merit full credit. Incomplete

4.

answers shall be considered wrong answers.

4.

The scale on the map is 1:x. A lot having an area of 640 sq. m. is represented by an area of 25.6 sq. cm. on the map. What is the value of x?

You are allowed to bring your own scientific calculator provided they are submitted to the Quiz Contest Committee for inspection. All memory in the calculator will be cleared.

5.

On Rounding-off, the computer way of round-off will be used. No roundingoff is allowed in between calculations.

6.

x

xx

x

¿¿ x¿

=7

5.

Solve for x:

6.

When the 3-digit numbers 5a4 and 3b4 are added together, the sum is

Focus on your own questionnaire. Any form of cheating will automatically mean disqualification.

7.

The exam is good for 1 hour and 30 minutes. An examinee is not allowed to leave the room once the questionnaire is given.

8.

divisible by 9. What is the maximum value of a+b?

At the end of the exam, leave the questionnaire together with the scratch paper on your seat. Please make sure that your questionnaire is intact.

9.

Point system: Easy

–

Average –

3 points

Difficult –

5 points

If x + y = m, and xy = n, what is the value of x 2 + y2 ?

8.

A polygon having 70 sides is called ______________.

2 points

There will be no deduction for a wrong answer. EASY ROUND (10 QUESTIONS, 2 PTS EACH)

7.

9.

Given three angles A, B, and C whose sum is 180◦.

DIFFICULT ROUND (5 QUESTIONS, 5 PTS EACH)

if tanA + tanB + tanC = x, find the value of

1.

tanA x tanB x tanC.

xy – 5y + 6

10. Gerald and Leslie can do a certain job in 3 hrs. On a given day, they worked

Find the partial derivatives with respect to x of the function:

2

2.

Resolve the 600-lb horizontal force shown in the figure into

together for 1 hour then Leslie left and Gerald finishes the rest of the work

components acting along the u and v axes and determine the magnitudes of

in 8 more hours. How long will it take for Gerald to do the job alone?

these components.

AVERAGE ROUND (5 QUESTIONS, 3 PTS EACH)

1.

A petal is formed by the intersection of the two circles of radius 4 with centers at (0,4) and (4,0). Find the area of the petal.

3. 2.

A diving board weighing 280N is 3m long. It is supported at a point 1.0m

Determine the area of a parallelogram if three of its corner points

are located at (-4,1,0); (3,2,-1); (2,0,3).

from the end and a diver weighing 500N stands at the free end. Determine the magnitude of the force acting on the point of support.

4. 3.

A box contains 8 white balls, 15 green balls, 6 black balls, 8 red

A solution was prepared by dissolving 5.8g sodium sulfate in water to make

balls, and 13 yellow balls. How many balls must be drawn to ensure that there

100mL solution. Find the molality of the solution if MMsol = 142 g/mol and ρ

will be three balls of the same color?

= 1.2 g/mL.

5. 4.

5.

The letters of the alphabet have been assigned numerical values

How many integers between -2002 and +2002 are divisible by 3 or 4 but

so that A x C = B, B x D = C, C x E = D, … , X x Z = Y. If A + B = 2002 and

not by 5?

B is not equal to 0, what is the value of Y + Z ?

A freight train four hundred meters long goes through a tunnel that is two kilometres long. If the train is travelling at a speed of 10 m/s, how long does it take the train to pass through the tunnel?