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Instructions

Welcome, Crafter! A hidden chest is locked, and the code is the answer to a set of mathematical puzzles. You must use the Order of Operations (PEMDAS/BODMAS) correctly to find the required numbers.

PEMDAS Rule:

  1. Parentheses (or Brackets)
  2. Exponents
  3. Multiplication and Division (from left to right)
  4. Addition and Subtraction (from left to right)

Follow these steps for each puzzle:

  1. Read the Minecraft Clue carefully.
  2. Translate the clue into a mathematical expression.
  3. Solve the expression, showing your steps clearly.

Section 1: The Block Challenge

Find the quantity of resources needed by solving the following expressions. Use the table below to organize your work. (Hint: Always solve what is inside the parentheses first!)

Minecraft Clue Mathematical Expression Solution Steps Required Quantity
Example: Iron Ingot Code: The sum of 4 and 8, multiplied by 2. (4 + 8) $\times$ 2 12 $\times$ 2 = 24 24
Emerald Trade Value: The difference between 15 and 5, divided by 2, then add 9.
Nether Portal Blocks: 24 divided by the result of (6 minus 2), plus 10.
Wood Planks Needed: (10 $\times$ 5) - (2 $\times$ 4)
Coal Ore Collected: 100 $\div$ (8 + 2) + 3^2
Enchanted Book Shelf Count:

Section 2: Redstone Engineering - Multi-Step PEMDAS

Redstone circuits require precise calculations. Solve the following complex equations to find the activation codes. Remember to handle Multiplication/Division and Addition/Subtraction in the correct left-to-right order.

  1. Find the Piston Activation Code: $$(12 \times 3) + 50 \div (10 - 5)$$

Working Space:

Answer: ____

  1. Find the Hopper Filter Code: $$4^2 + 7 \times 8 - 4 \div 2$$

Working Space:

Answer: ____

  1. Find the Observer Delay Time (measured in ticks): $$(2 \times 5 + 1)^2 - 9 \times 10$$

Working Space:

Answer: ____


Section 3: The Creeper Scramble (Challenge Quest)

This final challenge requires you to find the value of two missing blocks, X and Y, and then combine them to find the final chest code.

Clue A: The value of Block X $$X = 6 + 2 \times (9 - 4) - 1$$

Clue B: The value of Block Y $$Y = (3^3 \div 9) + 15$$

Final Chest Code: $$Code = (X \times 3) - Y$$

  1. Solve for X:

  2. Solve for Y:

  3. Calculate the Final Chest Code:

Final Code: ____


Answer Key

Section 1: The Block Challenge

Minecraft Clue Mathematical Expression Solution Steps Required Quantity
Emerald Trade Value: (15 - 5) $\div$ 2 + 9 10 $\div$ 2 + 9 = 5 + 9 = 14 14
Nether Portal Blocks: 24 $\div$ (6 - 2) + 10 24 $\div$ 4 + 10 = 6 + 10 = 16 16
Wood Planks Needed: (10 $\times$ 5) - (2 $\times$ 4) 50 - 8 = 42 42
Coal Ore Collected: 100 $\div$ (8 + 2) + 3^2 100 $\div$ 10 + 9 = 10 + 9 = 19 19
Enchanted Book Shelf Count: Varies - Accept any expression that solves cleanly.

Section 2: Redstone Engineering

  1. Piston Activation Code: $$(12 \times 3) + 50 \div (10 - 5)$$ $$36 + 50 \div 5$$ $$36 + 10$$ Answer: 46

  2. Hopper Filter Code: $$4^2 + 7 \times 8 - 4 \div 2$$ $$16 + 56 - 2$$ $$72 - 2$$ Answer: 70

  3. Observer Delay Time: $$(2 \times 5 + 1)^2 - 9 \times 10$$ $$(10 + 1)^2 - 90$$ $$11^2 - 90$$ $$121 - 90$$ Answer: 31

Section 3: The Creeper Scramble

  1. Solve for X: $$X = 6 + 2 \times (9 - 4) - 1$$ $$X = 6 + 2 \times 5 - 1$$ $$X = 6 + 10 - 1$$ $$X = 16 - 1$$ X = 15

  2. Solve for Y: $$Y = (3^3 \div 9) + 15$$ $$Y = (27 \div 9) + 15$$ $$Y = 3 + 15$$ Y = 18

  3. Calculate the Final Chest Code: $$Code = (15 \times 3) - 18$$ $$Code = 45 - 18$$ Final Code: 27

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