Question 1: Evaluate the expression: 3 + 2 × (4^2 - 6).

Answer: 43

Question 2: Simplify: (5^3 ÷ 25) + (2^4).

Answer: 132

Question 3: Calculate: (8 - 3)^2 + 4^2.

Answer: 50

Question 4: Evaluate: 2 × (3^2 + 4^2) - 5.

Answer: 79

Question 1: A calculator shows the result of (2 + 3)^2 - 4^2. A student claims the answer is 1. Is this correct? Explain your reasoning.

Answer: No, the correct answer is 5 because (2 + 3)^2 = 25 and 4^2=16, so 25 - 16 = 9.

Question 2: Evaluate and justify whether the expression 3 × (2^3 + 4) is equal to (3 × 2)^3 + 4.

Answer: No, because 3 × (8 + 4) = 3 × 12 = 36, whereas (6)^3 + 4 = 216 + 4 = 220.

Question 1: A building has 2^3 floors, and each floor has 4^2 rooms. How many rooms are there in total?

Answer: 128

Question 2: A recipe doubles the amount of sugar each time it is repeated, starting with 2 grams. How much sugar is needed after 4 repetitions?

Answer: 32 grams

Question 1: Simplify: (2^4 × 2^3) ÷ 2^2. Show all steps.

Answer: 32

Question 2: Construct an expression involving brackets and powers that evaluates to 100. Explain your choice.

Answer: Example: (10^2) or (2^6 + 2^2).

Question 1: Identify the mistake in evaluating: 6 + 3^2 × 2 = 30. Explain and correct it.

Answer: The mistake is ignoring brackets or order; correct calculation is 6 + (3^2 × 2) = 6 + 18 = 24.

Question 2: Evaluate: (2 + 3)^3 and compare with 2 + 3^3. Explain the difference.

Answer: (2 + 3)^3 = 125, while 2 + 3^3 = 2 + 27 = 29; the parentheses change the order of exponentiation.