Question 1: Arrange the following numbers in ascending order: 45, 23, 67, 12.

Answer: [12, 23, 45, 67]

Question 2: Calculate the difference between the largest and smallest numbers from: 89, 45, 76, 92.

Answer: 92 - 45 = 47

Question 3: Plot the graph of y = 3x for x values 1, 2, 3, 4 on the grid.

Answer: Points: (1,3), (2,6), (3,9), (4,12)

Question 4: Construct a rectangle on the grid with one side measuring 5 units and the adjacent side measuring 8 units. These sides should be aligned with the grid lines.

Answer: Constructed with sides 5 and 8 units.

Question 5: From the numbers 12, 27, 33, 19, find the middle value when they are ordered from smallest to largest.

Answer: 19

Question 6: A box contains 150 positive integers, all less than 200. If 70% are greater than 100, how many numbers are less than or equal to 100?

Answer: 45

Question 7: Order the following numbers in descending order: 100, 85, 76, 99, 94.

Answer: [100, 99, 94, 85, 76]

Question 8: A student scores 85, 92, 78, and 88 on four tests. Find the mean score and order the scores from lowest to highest.

Answer: Mean: (85+92+78+88)/4=85.75; Ordered: 78, 85, 88, 92

Question 9: Identify the common mistake: If a student orders 34, 45, 23, 56 incorrectly as 56, 45, 34, 23, what is the mistake?

Answer: They ordered in descending order instead of ascending.

Question 10: Challenge: Find two positive integers less than 50 whose sum is 80. Is this possible? Explain.

Answer: No, since the maximum sum of two positive integers less than 50 is 49 + 49 = 98, and 80 is less than 98. Possible pairs include 30 and 50, but 50 is not less than 50, so only 30 and 50 are valid, but 50 is not less than 50. So, the only valid pairs are those summing to less than 100 but greater than 80, e.g., 40 and 40.

Question 11: Error analysis: A student writes: 12, 23, 34, 45, 56, claiming they are ordered from smallest to largest. Is the sequence correct? Why or why not?

Answer: Yes, the sequence is correctly ordered from smallest to largest.