Question 1: Calculate the value of 3 + 2 × (4^2 - 5).

Answer: 21

Question 2: Simplify the expression: (6^2 ÷ 3) + 4.

Answer: 16

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

Answer: 38

Question 4: Calculate: (8 + 2)^3 ÷ 10.

Answer: 100

Question 5: Using the order of operations, simplify: 5 + (2^3 × 4) - 6.

Answer: 41

Question 6: A company's profit is calculated as (sales - costs)^2. If sales are $150,000 and costs are $90,000, what is the profit?

Answer: 36000000

Question 7: Construct a triangle on the grid with sides measuring 6, 8, and 10 units, ensuring the longest side is horizontal.

Answer: Students will draw on the grid, so answer is visual.

Question 8: Evaluate the expression: 2^4 + 3^3 - (2 + 3)^2.

Answer: 34

Question 9: A scientist models radioactive decay with the formula: remaining = initial × (1/2)^t, where t is in years. How much remains after 3 years if the initial amount is 100 grams?

Answer: 12.5

Question 10: Identify and correct the mistake: Simplify (4 + 2)^2 = 4^2 + 2^2.

Answer: Incorrect; (4 + 2)^2 = 36, while 4^2 + 2^2 = 20.

Question 11: Calculate the value of (5^2 - 3^2) ÷ (2^2).

Answer: 4