Math Pics 16: The Pentagram and the Golden Ratio

Problem 125: Million Dollar Question

Math Pics 15: Van Eck's Sequence

Problem 124: SQRT 2

Problem 123: Squares

The side lengths of the three squares are consecutive integers. What’s the total area?

Source Catriona Shearer

Problem 122: Square Root Graph Puzzle

Find the values of a, b, c and d. (All triangles are equilateral)

Resource: Diego Rattagi

Problem 121: Who Gets the Most Amount?

Photo by Ibrahim Rifath on Unsplash

An amount of money is distributed among some people in such a way that;

the first person gets 1% of the money

the second gets 2% of the remaining

the third gets 3% of the remaining

and so on...

Which person gets the highest amount?

Resource: Mustafa Yağcı

Rich Tasks 58: Cubic Sums

In 1939, L. E. Dickson proved that all positive integers can be represented as the sum of at most 9 positive cubes. Interestingly, only two numbers exist that require all 9 cubes: 23 and 239 pic.twitter.com/ii93g0RqrB

— Fermat's Library (@fermatslibrary) July 12, 2019

Each group will write the given numbers using cubes from 1 to 9. The first group to finish will be the winner!

48
980
763
227
341

Problem 120: Arithmetic series

IBDP past paper question, taken from Revision Village.

Problem 119: Hypotenuse

Problem 118: 2025

Problem 117: Geometric Series Proof