1. Problem: Find the missing inner number of the diamond with top=100, bottom=150, left=150, right=50, and inner=150 already given. Step 1: The rule for the diamond's inner number is typically top + bottom or left + right. Step 2: Calculate top + bottom = 100 + 150 = 250. Step 3: Calculate left + right = 150 + 50 = 200. Step 4: Given inner number=150 does not fit the sum rule, check if either matches the inner number. Answer: Inner 150 does not match sums, so likely given for reference only. 2. Problem: Diamond with top=150, bottom=150, left=200, right=? and inner=215. Step 1: Use inner = top + bottom = 150 + 150 = 300 or left + right. Step 2: Since inner = 215, use left + right = 215. Step 3: Find right = 215 - left = 215 - 200 = 15. Answer: Right number is 15. 3. Problem: Diamond with top=75, bottom=75, left=75, right=75, inner=? Step 1: Inner number = top + bottom = 75 + 75 = 150 or left + right = 75 + 75 = 150. Step 2: Both sums equal 150. Answer: Inner number is 150. 4. Problem: Diamond with top=125, bottom=200, left=125, right=150, inner=? Step 1: Inner = top + bottom = 125 + 200 = 325. Step 2: Check left + right = 125 + 150 = 275, which is different. Step 3: Likely inner takes sum of top and bottom. Answer: Inner number is 325. 5. Problem: Diamond with top=50, bottom=75, left=25, right=50, inner=75. Step 1: Check top + bottom = 50 + 75 = 125. Step 2: Check left + right = 25 + 50 = 75. Step 3: Inner number 75 matches left + right. Answer: Inner is verified as 75. 6. Problem: Diamond with top=15, bottom=75, left=75, right=?, inner=105. Step 1: Inner could be top + bottom = 15 + 75 = 90 or left + right. Step 2: Inner = 105, so use left + right = 105. Step 3: Find right = 105 - left = 105 - 75 = 30. Answer: Right number is 30.