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5th Grade - Operations and Algebraic Thinking

Escape from Hogwarts

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You'll have to crack the code to escape from Hogwarts!

Solve each problem. Then, use the answer to unlock the next question. Make sure you use all lowercase letters!

Unlock Door 1

What is the value of the expression (4 x 5) + (10 x 30)

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Room 1

An expression is shown.

(7 - 3) x (2 + 6) + 3

What is the value of the expression?

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Room 2

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Room 3

What is the value of the expression

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Room 4

This question has two parts.

A mathematical statement can be represented using numbers, symbols, and words.

Part A. Which expression uses numbers and symbols to represent the statement "subtract 6 from 11, double the difference, and then add three-fourths"?

Part B. Which statement uses words to represent "5 + 8 x 3 - 2"?

a. five more than the product of 8 and 3, minus 2

b. three times 5 plus 8, minus 2
c. the product of 5 plus 8, and 3 minus 2
d. five more than the product of 8 and the difference of 3 and 2

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Room 5

Which expression is equivalent to "divide 24 by the difference of 8 and 2"

a. 24 ÷ 8 - 2
b. 24 ÷ (8 - 2)
c. 24 ÷ 2 - 8
d. 24 ÷ (2 - 8)

Jill and Marlando are creating patterns.

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Room 6

• Jill uses the rule "multiply by 3" and starts at 3.
• Marlando uses the rule "add 6" and starts at 15.

What is the first number in Marlando's pattern that also appears in Jill's pattern?

Meg and Theo each thought of 5 numbers. Meg's first number was 0, and so was Theo's. Meg added 2 each time to get her other numbers, and Theo added 4 each time. Which statement correctly compares Theo and Meg's numbers?

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Room 7

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Room 8

Wayne and Hillary are creating patterns.

• Wayne uses the rule "multiply by 3" and starts at 4.
• Hillary uses the rule "add 11" and starts at 14.

What is the first number in Wayne's pattern that also appears in Hillary's pattern?

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Room 9

Which set of coordinates follows these two rules?

a. (4, 4), (8, 8), (12, 16)

b. (4, 4), (8, 8), (16, 16)
c. (4, 4), (6, 16), (8, 64)
d. (4, 4), (8, 6), (12, 8)

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Room 10

Look at the expression below. Choose Yes or No to tell whether each statement is a correct interpretation of the expression.

Congratulations!

You unlocked all the doors and made it out of Hogwarts!

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