Problems Worth Solving
Problems where the answer isn't the point. There's rarely just one way in.

Which dice will you choose?
This is a simple game of dice among 2 players. There are 3 dice, but are a bit different from the normal dice.…

The Jumping frog
A frog starts along a number line starting at position 0. It takes a lot of jumps. The first jump takes it 1 u…

Don’t rob kids of their creativity!
Math and Creativity! Really? That’s how many people would react, mostly due to the kind of experience they hav…

The travelling knight!
Yes, the knight loves to travel. But not twice to the same place! The knight wants to move from position 1 (A1…

Oh! The Perfect Ruler – Only for Math lovers
This post is by Jason Moses, who has been an enthusiastic explorer in the Mathematical Curiosities Program. Re…

Explorations in Euler’s formula
In our explorations with the relationship between the vertices, edges and faces of a 3D solid, as a part of th…

The dark knights!
I am assuming you are aware of how a knight moves on a chessboard. The following image will make it clear if y…

Oh! the numbers you can make…
Imagine you have a broken calculator. Maybe you dropped it or your dog chewed up the keys. Suppose now, only t…

The light bulb problem
This post is for the students of Mathematical Curiosities, the Creative Math Live Online Program. Which of the…

Help the bee find its way!
The initial position of a Bee is shown in the Beehive. It can move in only one general direction, namely, to t…

Can you find all the possible areas?
We have a grid and many squares can be made. Can you determine all the different values the area of a square c…

Which of these has the maximum shaded area?
Which of these squares has the maximum shaded (purple) area? How can you best explain your answer?…

Ideas and Approaches for ‘Paint the tiles’ Problem!
Many readers have responded by submission form, Email, Messages and comments. Here, I am sharing the different…

The broken board and rectangular tiles
A chessboard with a twist. Can we cover this board with the rectangular tiles.…

Just 1’s and 2’s
In how many ways can you represent a number as a sum of 1’s and 2’s?…

Ideas for ‘The Shortest Road Track’ Problem
Here are some of the ideas received for the problem.…

In how many ways can you paint the tiles?
On a shelf, there are 8 tiles which need to be painted. We have 2 colours, yellow and black.…

The ‘Shortest Road Track’ Problem!
The dots below represent 4 cities at the corners of a square. The task is to connect these cities to each othe…

A picture I shall never forget! The proof of the Arithmetic-Geometric Mean Inequality.
When the Hungarian mathematician George Polya came across this problem, he casually drew a picture as the proo…

Why 89 is the real deal? The 11th Fibonacci number.
There’s something that makes this number really unqiue. Can you figure out the reason?…

Student Presentations and Our current number system
Here, student present their own number systems for the first half of the class. Then, we explore our current n…

Creating your own Number system
Students will further explore and start creating their own number systems. When kids design their own number s…

Designing number systems (Worktime)
Kids will work in groups to make charts and practice for the presentation of their number systems.…