Question 1: Estimate the square root of 50 to the nearest whole number.

Answer: 7

Question 2: Calculate an approximate value of √18.

Answer: 4.2

Question 3: Estimate √85, rounding to the nearest whole number.

Answer: 9

Question 4: Estimate the square root of 200.

Answer: 14

Question 1: A recipe calls for an oven temperature of about √180°C. Estimate the temperature in Celsius and explain how you arrived at your answer.

Answer: Approximately 13°C; √180 is close to √169 = 13, so the temperature is about 13°C.

Question 2: Your cake needs a baking time of √125 minutes. Estimate this time and justify your estimate.

Answer: ≈11 minutes; √125 is close to √121=11, so about 11 minutes.

Question 1: A bread recipe requires a dough radius of √80 cm. Estimate the radius and describe your method.

Answer: ≈9 cm; √80 is close to √81=9, so the radius is about 9 cm.

Question 2: An ingredient needs to be doubled, and its quantity is proportional to the square root of its original amount, which is √50 grams. Estimate the new amount.

Answer: ≈7 grams; √50 ≈7, doubled to about 14 grams.

Question 1: Estimate the side length of a square with an area of approximately 300 cm² by rounding and explain your reasoning.

Answer: ≈17 cm; √300 is close to √289=17, so the side length is about 17 cm.

Question 2: A recipe requires 25 units of an ingredient, proportional to √x. Estimate x and explain the steps taken.

Answer: x=625; √x=25, so x=25²=625.

Question 1: Estimate √250 and explain why your estimate is reasonable.

Answer: ≈16; √256=16, so √250 is slightly less than 16.

Question 2: Estimate the square root of 10,000 and justify your answer.

Answer: ≈100; 10,000 is a perfect square of 100.

Question 1: A student estimates √45 as 8. Identify the mistake and provide the correct estimate.

Answer: Mistake: √45 is closer to √49=7. The student overestimated; the correct estimate is about 7.