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:
- Parentheses (or Brackets)
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Follow these steps for each puzzle:
- Read the Minecraft Clue carefully.
- Translate the clue into a mathematical expression.
- 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.
- Find the Piston Activation Code: $$(12 \times 3) + 50 \div (10 - 5)$$
Working Space:
Answer: ____
- Find the Hopper Filter Code: $$4^2 + 7 \times 8 - 4 \div 2$$
Working Space:
Answer: ____
- 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: $$Code = (X \times 3) - Y$$
-
Solve for X:
-
Solve for Y:
-
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
-
Piston Activation Code: $$(12 \times 3) + 50 \div (10 - 5)$$ $$36 + 50 \div 5$$ $$36 + 10$$ Answer: 46
-
Hopper Filter Code: $$4^2 + 7 \times 8 - 4 \div 2$$ $$16 + 56 - 2$$ $$72 - 2$$ Answer: 70
-
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
-
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
-
Solve for Y: $$Y = (3^3 \div 9) + 15$$ $$Y = (27 \div 9) + 15$$ $$Y = 3 + 15$$ Y = 18
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Calculate the Final Chest Code: $$Code = (15 \times 3) - 18$$ $$Code = 45 - 18$$ Final Code: 27