February 2019 - Math Problem
You have 4 different weights. The sum of the weights is 40 grams. If you have a two pan balance, you can use the 4 weights to make any weight from 1 gram to 40 grams. How many grams is each of the weights?
Solution:
The weights are 1 gram, 3 grams, 9 grams and 27 grams.
Following this pattern, how many grams would the next weight be? What range of weights could you make with these 5 weights?
January 2019 - Math Problem
You have 15 Loonies (one dollar coins) and four small bags. How many coins would you put into each bag so that you can pay any amount from $1 to $15 without opening bags?
Solution:
| Bag | Number of Coins |
|---|---|
| A | 1 |
| B | 2 |
| C | 4 |
| D | 8 |
December 2018 - Math Problem
This triangle has 4 dots on each side. A total of 9 dots were used to make the triangle.
The bottom triangle has 6 dots on each side. A total of 15 dots were used to make the triangle.
November 2018 - Math Problem
A game played with coins has the following rules.
1. Coins are set up in a triangle.
2. Coins are moved until the triangle is upside down.
3. The number of moves is recorded.
For example, if a two-layer triangle is used, then only one move is required to flip the triangle.
October 2018 - Math Problem
If there were 8 people at a party and everyone shook everyone else's hand exactly once, how many handshakes would there be in total?
September 2018 - Math Problem
You throw a dart at the board below repeatedly. Each time you hit the board, you add either 7 or 3 to your score depending on which part you hit. What is the largest score that you can not get in this game? How do you know?
