Explore example tasks from previous Tigers Olympiad competitions.
Task: Logic Sequence
Find the missing number in the sequence: 2, 6, 12, 20, 30, __
Solution Approach:
Look for the pattern in the differences between consecutive terms: 4, 6, 8, 10, ...
The pattern shows that each difference increases by 2. So the next difference will be 12, and 30 + 12 = 42.
Task: Geometric Problem
A rectangle has an area of 36 square units. If its length is twice its width, find the perimeter of the rectangle.
Solution Approach:
Let the width be x and the length be 2x.
Then, x × 2x = 36
2x² = 36
x² = 18
x = √18 = 3√2
Length = 2x = 6√2
Perimeter = 2(length + width) = 2(6√2 + 3√2) = 2(9√2) = 18√2 units
Task: Probability Challenge
Three fair six-sided dice are rolled. What is the probability that the sum of the numbers shown is exactly 10?
Solution Approach:
Total number of possible outcomes when rolling three dice: 6³ = 216
Ways to get a sum of 10:
(1,3,6), (1,4,5), (1,5,4), (1,6,3),
(2,2,6), (2,3,5), (2,4,4), (2,5,3), (2,6,2),
(3,1,6), (3,2,5), (3,3,4), (3,4,3), (3,5,2), (3,6,1),
(4,1,5), (4,2,4), (4,3,3), (4,4,2), (4,5,1),
(5,1,4), (5,2,3), (5,3,2), (5,4,1),
(6,1,3), (6,2,2), (6,3,1)
There are 27 favorable outcomes.
Therefore, the probability is 27/216 = 1/8 = 0.125
Task Description:
Create an artwork that illustrates a world from your imagination. Think about what makes this world special - its landscapes, inhabitants, or magical elements. Use your creativity to bring this world to life through your chosen art medium.
Materials:
Any traditional art materials (watercolors, colored pencils, pastels, etc.)
Evaluation Criteria:
Sample Artwork
Dreamworld Theme
Task Description:
Create an artwork that explores the connections, similarities, or exchanges between two or more different cultures. You might focus on traditions, food, music, architecture, or any elements that show how cultures can influence and enrich each other.
Materials:
Any traditional art materials (watercolors, colored pencils, pastels, etc.)
Evaluation Criteria:
Sample Artwork
Cultural Connection Theme
Task Description:
Create an artwork that explores the relationship between innovation and tradition. Consider how new technologies or ideas interact with established customs and heritage. Your artwork should reflect on this dynamic in a thoughtful and visually compelling way.
Materials:
Any traditional art materials (watercolors, colored pencils, pastels, etc.)
Evaluation Criteria:
Sample Artwork
Innovation & Tradition Theme