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One day, Rumi’s chess club coach asks her, “how many squares are on a chess board?” Rumi replies, “That’s easy, the board is 8 by 8, so there are 64 squares!” Her coach smiles, “What about the larger squares made up of smaller squares? The board is an 8 by 8 square after all!” How many squares are on a chess board?

The teacher challenges Becki and her classmates to find three bottom numbers that follow the pattern and add up to 15. Becki is pretty sure that there are multiple solutions, where the numbers along the bottom appear in different orders. If she keeps at it, how many different solutions will Becki find?

Anamaria and Chen are two friends who toured a magical chocolate factory! They both get enormous amounts of chocolate and they want to share it evenly between them. Anamaria gets 1,574,936 squares of chocolate and Chen gets 3,569,321 squares of chocolate. Without using a calculator, can you tell if it is possible for them to share the chocolate between them without breaking any squares?

Difficulty: Tricky Jack is making a quilt from only square patches of fabric. For every 4 patches he sews together, 1 patch is blue and 3 patches are red. Once they are added to the quilt, all of the patches are 5 cm in width and length. Jack wants to make a quilt that is […]

Miguel hopes to become a magnificent mathematical magician. For his first trick he wants to present a standard 52-card deck and dramatically draw a face card (Jack, Queen or King). If the deck is randomly shuffled, what is the probability that Miguel will draw a face card on the first try?

Sienna’s teacher is writing up a wicked problem. First, the teacher writes all the numbers from 1 to 99 and then erases 10, 20, and all the other numbers that end in 0. “Listen up! Multiply all these numbers. Tell me the last digit and I’ll give you full marks on your next assignment.”

Flora likes to run up stairs as fast as she can! Sometimes she lands on every stair and sometimes she skips a stair, taking two in one stride. This gets her thinking: how many different ways can she run up a staircase?

Lavonne is testing a secret code with her friend Jack. First, she picks 3 different secret numbers between 1 and 9. Then she finds the sum of each pair of numbers. Lavonne wants to know if Jack can figure out the original secret numbers just from the sums?

Farmer Wallace packages his eggs in cartons that hold a dozen eggs. In March, he sells 5 standard orders of eggs to the local grocery store. Each standard order consists of 4 grosses of eggs. A gross is 144 eggs. How many cartons of eggs did Farmer Wallace sell?

Catalina won a game show prize! She spent 3/4 of it on a trip into space. She spent 2/3 of her remaining money climbing Mount Everest. Finally, she donated the last $100,000 to wildlife. How much did she win?