Making a Tower with Straws (Group A: Grade 4, 5, 6)

Description The objective of this contest is to construct a simple tower with straws. The test is finding what types of structure is stronger and construct one of them by putting straws together using provided materials. You must follow the instructions. Sample Design

Constraints

• The height of the tower is at least 6 inch long. • The maximum diameter of the tower is 7 inch long. • There is no constraint about using the connecting materials. You can choose any items

to connect straws as your preference Materials & Tool 50 straws, scotch tapes, glues, thread, pencils, scissors, 12-inch rulers (tool) You are not allowed to use anything else. Rules (60 Minutes)

• Check whether you have all materials as described in “Materials & Tool”. • Grouping: 1 group per 4 persons. • Each two persons in a group make a tower and choose one of two to submit. • Any ideas to tighten the tower with given materials are fine. • Any cheating (talking to each other, copying, fixing after construction period, etc) will

ABSOLUTELY DISQUALIFY students from competition. • No questions will be answered for the purpose of fairness.

Evaluation

• Evaluation will be performed during the science contest and final work. • Following will be used for grading.

• Your work will be inserted to a measuring tool (refer to below figure). • A weight will be added on the top of the measuring tool (small white bar in figure)

every 5 seconds. • A tower standing the maximum weights will be scored the highest score. • Time to finish. Earlier finish will get an additional point. All groups should bring their

work. • Winning prize will be given to top 3 groups [=12 students].

Plane Figure of Measuring Tool

Note: You must return your all materials remained after you finish the test. Please, make sure that you wrote your registration number and name on this exam paper. Describe and draw your idea how you designed it. (This will be evaluated when you have tie score with other contestants. If your idea has more scientific and engineering concepts, you will be the winner. Write your idea within 100 words.)

Making Soccer Ball (Group B: Grade 7, 8, 9)

Description The objective of this contest is to make a soccer ball (sphere shape) out of plane paper sheets. Test is drawing a “development drawing” of soccer ball and construct soccer ball shape by putting them together using provided glue. You must adhere to the instructions given or face disqualification. Sample Design

Reference: http://www.wikipedia.org/ [Glossary of Terms] Pentagon: a polygon with 5 edges and 5 vertices. Each corner angle of a regular pentagon is 108° and total sum of all internal corner angle is 540° Hexagon: a polygon with six edges and six vertices. The internal angles of a regular hexagon (one where all sides and all angles are equal) are all 120° and the hexagon has 720 degrees. It has 6 lines of symmetry.

Pentagon Hexagon

In mathematical term, a soccer ball is a “truncated icosahedrons” It comprises 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices and 90 edges.

Development drawing examples:

3 dimension shape Development drawing Regular Tetrahedron

Cube

Regular Dodecahedron

Truncated Icosahedrons

? Reference: http://www.wikipedia.org/

Materials & Tool 2 paper sheets, scotch tapes, pencils, paper cutter, 1 compass, 12-inch ruler (tool) You are not allowed to use anything else. Rules (90 Minutes)

* Check whether you have all materials as described in “Materials & Tool”. * Grouping : 1 group per 3 persons. * You should calculate size of each shape then draw “development drawing” form of

soccer ball over the paper and cut, etc. Also, you do not have to use all the materials provided.

* You should be able to construct the ball out of provided materials. No more papers will be provided.

* All sides should be completely glued together. * You don’t have to erase your drawing marks, remnant of drawings. Only “shape” is

considered when judging your score. * Any cheating (talking to each other, copying, fixing after construction period, etc) will

ABSOLUTELY DISQUALIFY students from competition. * No questions will be answered for the purpose of fairness.

Evaluation

* Evaluation will be performed during the science contest and final work. * Following will be used for grading.

* Completeness of development drawing. * Completeness. The ball should have 12 regular pentagonal faces + 20 regular

hexagonal faces. No less and no more than that, otherwise, it will be disqualified. * Ball should stay firmly when put on a table. Collapsed balls will be disqualified. * Time to finish. Earlier finish will be scored high score. All groups should bring their work * The size. Bigger ball will get more score. * Winning prize will be given to top 3 groups [=9 students].

Note: You must return your exam papers and all materials remained after you finish the test. Please, make sure that you wrote your registration number and name on this exam paper. Describe and draw your idea how you designed it. (This will be evaluated when you have tie score with other contestants. If your idea has more scientific and engineering concepts, you will be the winner. Write your idea within 100 words.)

Drawing regular pentagon

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Reference: http://www.mathzone.pe.kr/jakdo/mathjakdo/index.html

Drawing regular hexagon

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Reference: http://www.mathzone.pe.kr/jakdo/mathjakdo/index.html

Map Coloring (Group C: Grade 10, 11)

Description The objective of this contest is to develop an algorithm to color the entire map of Africa at the lowest cost with the following constraints.

1. Adjacent countries cannot be the same color. 2. You will be charged each time you use a color to fill in a country regardless of the size.

The cost of each color is in the table.

Color   Cost  

Blue   $10  

Red   $20  

Green   $40  

Yellow   $80  

Orange   $160  

Pink   $320  

Purple   $640  

Others   $1280  

An algorithm is a finite sequence of instructions or an explicit step-by-step procedure for solving a problem. An example of algorithm for finding the heaviest ball from a bag of balls is

1. Prepare an empty box. 2. Pick a ball from the bag and put it in the box. 3. Pick another ball from the bag. 4. If the selected ball is heavier than the one in the box, the selected ball will be put in the

box. 5. Repeat from 3 until there are no more balls in the bag, then the ball in the box is the

heaviest one.

Each team needs to submit (1) a written algorithm and (2) a colored map.

Materials & Tool

2 sheets of uncolored maps, 1 set of crayons (8 colors), 2 sheets of paper You are not allowed to use anything else.

Rules

• Check whether you have all materials as described in “Materials & Tool”. • Grouping: 3 students constitute a team. • Each team has 60 minutes to finish up algorithm writing and map coloring.

• Each team needs to submit 1 colored map and a written algorithm.

• Team members decide a team leader. The leader of the winning team will be nominated for a national award.

• Any cheating will ABSOLUTELY DISQUALIFY students from competition.

• No questions will be answered for the purpose of fairness.

• The first place winners will give a presentation about their solution

Evaluation The winner will be decided based on the following criteria in the given order for tie-break.

(1) Constraint should be satisfied (2) Least cost (3) Least colors (4) Least time to finish

Top 3 teams will be given a prize and Artistic prize will be awarded to 1 team. Artistic prize will be decided by the evaluators’ votes. Note: You must return your exam papers and all remaining materials after you finish the contest. Please, make sure that you wrote your registration number and name on this exam paper.