# Problems of the Week

Jan 6, 2020 | High Park

New Year, New Problems! Test your brain with these puzzles!

Lower Elementary:
Question: Brooklyn has 154 blocks and Victoria has 342. They combine their blocks to build a castle, and they use all but 12 of them. How many blocks did Brooklyn and Victoria use on the castle?

Upper Elementary:
Question: Eli picks up 288 seashells at the beach. He divides them evenly among 12 boxes. Then, he gives 7 boxes of seashells to Lincoln. How many seashells does Lincoln get?

Middle School:
Question: A sheet cake is 12 inches wide, 18 inches long, and 4 inches deep. Layla cuts a 4-inch by 4-inch slice of cake from the corner. How many cubic inches of cake are left?

Algebra and Up:
Question: A chocolatier receives an order for a 10-pound chocolate statue whose cacao content is exactly 40%. The chocolatier has 20% cacao chocolate and 50% cacao chocolate at his disposal. How many pounds of each does he need to melt together to have exactly the right amount for the statue?

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Lower Elementary:
Question: Brooklyn has 154 blocks and Victoria has 342. They combine their blocks to build a castle, and they use all but 12 of them. How many blocks did Brooklyn and Victoria use on the castle?
Solution: First, we add up all the blocks: 154 + 342 = 496. Next, we subtract the blocks that Brooklyn and Victoria didn’t use: 496 – 12 = 484.

Upper Elementary:
Question: Eli picks up 288 seashells at the beach. He divides them evenly among 12 boxes. Then, he gives 7 boxes of seashells to Lincoln. How many seashells does Lincoln get?
Solution: When Eli divides the 288 seashells into 12 boxes, he puts 288 ÷ 12 = 24 seashells in each box. Since Lincoln gets 7 boxes, he gets 24 × 7 = 168 seashells.

Middle School:
Question: A sheet cake is 12 inches wide, 18 inches long, and 4 inches deep. Layla cuts a 4-inch by 4-inch slice of cake from the corner. How many cubic inches of cake are left?