ECE QUIZ BEE 2021

ECE QUIZ BEE 2021

Welcome, participants!

CONCEPTS 1 PT

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- - POINT SYSTEM - -

SOLVINGS 3 PTS

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EASY ROUND

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10 ITEMS

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EASY ROUND

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1

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Fill in the Blank

A triangle which has no equal sides or angles is called _____________.

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EASY ROUND

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SCALENE

OR

SCALENE TRIANGLE

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1

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EASY ROUND

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2​

Fill in the Blank

It is the only number to have its letters in alphabetical order.

EASY ROUND

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40 OR FORTY

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2

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EASY ROUND

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3​

Fill in the Blank

How many mils are there in 360 degrees?

EASY ROUND

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6400 OR 6400 MILS

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​6,400 OR 6,400 MILS

3

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EASY ROUND

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360 DEGREE

​2 PI RADIAN

400 GON

6400 MIL​

3

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EASY ROUND

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4​

Fill in the Blank

He is a Welsh mathematician who invented the equals sign in 1557.

EASY ROUND

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ROBERT RECORDE

4

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EASY ROUND

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5​

Fill in the Blank

It is the only number that is twice the sum of its digits.

EASY ROUND

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18 OR EIGHTEEN

5

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EASY ROUND

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6​

Fill in the Blank

The number 0 / zero is originally called _______.

EASY ROUND

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CIPHER

6

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EASY ROUND

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7​

Fill in the Blank

Find EB if the area of the inner triangle is ¼ of the outer triangle as shown.

EASY ROUND

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57.5 OR 57.5 UNITS

7

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EASY ROUND

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7

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EASY ROUND

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8​

Fill in the Blank

The polygon with 1,000,000 sides is called __________.

EASY ROUND

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MEGAGON

8

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EASY ROUND

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9​

Multiple Choice

It is a type of quadrilateral wherein all sides are equal but no angle equal to right angle.

• KITE

• RHOMBUS

• SQUARE

• TRAPEZOID

EASY ROUND

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RHOMBUS - All sides are equal but no angle equal to right angle.​

SQUARE - All sides are equal and all angles are equal to right angle.

TRAPEZOID - Only two sides are parallel.

KITE- Convex quadrilateral whose adjacent sides are equal in pair.​

9

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EASY ROUND

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10​

Multiple Choice

How many edges are there in a TETRAHEDRON?

• 4

• 5

• 6

• 8

EASY ROUND

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10

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AVERAGE ROUND

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6 ITEMS

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AVERAGE ROUND

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1​

Fill in the Blank

30/5 = 6. The division slash

( / ) is called the _________.

AVERAGE ROUND

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VIRGULE

1

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AVERAGE ROUND

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2​

Fill in the Blank

In the figure shown, ABCD is a square and PDC is an equilateral triangle. Find θ. (No need to put the degrees symbol in your answer)

AVERAGE ROUND

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15 OR FIFTEEN

2

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AVERAGE ROUND

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2

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AVERAGE ROUND

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3​

Fill in the Blank

Determine the area of the quadrilateral ABCD shown if OB=80cm, OA=120cm, OD=150cm and θ=25^o. (No need to put the cm² in your answer and round your answer to the nearest whole number)

AVERAGE ROUND

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2722 cm² OR 2,722 cm²

3

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AVERAGE ROUND

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3

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AVERAGE ROUND

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4​

Fill in the Blank

A term used to describe a number equivalent to ten raised to the power of a hundred (10¹⁰⁰)

AVERAGE ROUND

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GOOGOL

4

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AVERAGE ROUND

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5​

Fill in the Blank

A truck travels from point M northward for 30 mins, then eastward for one hour, then shifted N 30^O W. If the constant speed is 40 kph, how far directly from M, in km, will it be after 2 hours? (Round your answer to the nearest whole number and no need to put the unit)

AVERAGE ROUND

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48 KM

5

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AVERAGE ROUND

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5

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AVERAGE ROUND

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6​

Multiple Choice

It is half of a great circle on the earth terminated by the north pole and the south pole.

• equator

• meridian

• latitude

• longitude

AVERAGE ROUND

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meridian

6

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DIFFICULT ROUND

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4 ITEMS

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DIFFICULT ROUND

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1​

Fill in the Blank

Find the distance in nautical miles between Manila and San Francisco. Manila is located at 14^O 36′ N latitude and 121^O 05′ E longitude. San Francisco is situated at 37^O 48′ N latitude and 122^O 24′ W longitude.

(Round your answer to the nearest whole number and no need to put the unit)

DIFFICULT ROUND

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6,046 NAUTICAL MILES

1

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DIFFICULT ROUND

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1

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DIFFICULT ROUND

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2​

Fill in the Blank

A rectangular piece of land 40m x 30m is to be crossed diagonally by a 10-m wide roadway as shown. If the land cost P1,500 per square meter, the cost of the roadway is:

(Round your answer to the nearest whole number and no need to put the unit)

DIFFICULT ROUND

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601,650

2

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DIFFICULT ROUND

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2

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DIFFICULT ROUND

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3​

Fill in the Blank

The first time a digit repeats six times in succession in pi is at the 762nd position where you can find six nines in a row. This is known as the _______.

DIFFICULT ROUND

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FEYNMAN POINT

3

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DIFFICULT ROUND

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4​

Multiple Choice

Find the area of the triangle (sq. units) which the line 2x - 3y + 6 = 0 forms with the coordinate axis.

• 3

• 4

• 5

• 2

DIFFICULT ROUND

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4

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​@ x = 0,

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​2x - 3y + 6 = 0

​2(0) - 3y + 6 = 0

​y = 2

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​@ y = 0,

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​2x - 3(0) + 6 = 0

​x = -3 (three units to the left)

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Area:

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​A = 0.5 xy

​A = 0.5 (3)(2)

​A = 3 sq. units

END

Thank you, participants!