This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
First, let's determine the pattern from the examples: Example a: Top number is 9. Bottom numbers are 27, 30, 3. 27 ÷ 3 = 9 (Top number) 27 + 3 = 30 (Bottom middle number) Example b: Top number is 7. Bottom numbers are 14, 16, 2. 14 ÷ 2 = 7 (Top number) 14 + 2 = 16 (Bottom middle number) The pattern is: 1. The number in the top circle is the result of dividing the bottom-left number by the bottom-right number. 2. The number in the bottom-middle square is the result of adding the bottom-left number and the bottom-right number. Now, let's solve each question: Question 1: Bottom left: 24 Bottom right: 6 Missing: Top circle Using the pattern: Top number = Bottom left ÷ Bottom right Top number = 24 ÷ 6 = 4 Check: 24 + 6 = 30 (matches bottom middle). The missing number is 4. Question 2: Bottom left: 72 Bottom right: 6 Missing: Top circle Using the pattern: Top number = Bottom left ÷ Bottom right Top number = 72 ÷ 6 = 12 Check: 72 + 6 = 78 (matches bottom middle). The missing number is 12. Question 3: Bottom left: 24 Bottom right: 3 Missing: Bottom middle square Using the pattern: Bottom middle = Bottom left + Bottom right Bottom middle = 24 + 3 = 27 Check: 24 ÷ 3 = 8 (matches top number). The missing number is 27. Question 4: Top number: 4 Bottom middle: 15 Bottom right: 3 Missing: Bottom left octagon Using the pattern: Top number = Bottom left ÷ Bottom right 4 = Bottom left ÷ 3 Bottom left = 4 × 3 = 12 Check with the second rule: Bottom middle = Bottom left + Bottom right 15 = 12 + 3 15 = 15 The missing number is 12. Question 5: Bottom left: 36 Bottom right: 9 Missing: Top circle Using the pattern: Top number = Bottom left ÷ Bottom right Top number = 36 ÷ 9 = 4 Check: 36 + 9 = 45 (matches bottom middle). The missing number is 4. Question 6: Top number: 6 Bottom left: 42 Bottom middle: 49 Missing: Bottom right octagon Using the pattern: Top number = Bottom left ÷ Bottom right 6 = 42 ÷ Bottom right Bottom right = 42 ÷ 6 = 7 Check with the second rule: Bottom middle = Bottom left + Bottom right 49 = 42 + 7 49 = 49 The missing number is 7. Question 7: Top number: 9 Bottom middle: 30 Bottom right: 3 Missing: Bottom left octagon Using the pattern: Top number = Bottom left ÷ Bottom right 9 = Bottom left ÷ 3 Bottom left = 9 × 3 = 27 Check with the second rule: Bottom middle = Bottom left + Bottom right 30 = 27 + 3 30 = 30 The missing number is 27. Question 8: Bottom left: 56 Bottom right: 8 Missing: Top circle Using the pattern: Top number = Bottom left ÷ Bottom right Top number = 56 ÷ 8 = 7 Check: 56 + 8 = 64 (matches bottom middle). The missing number is 7. Question 9: Bottom left: 16 Bottom right: 4 Missing: Top circle Using the pattern: Top number = Bottom left ÷ Bottom right Top number = 16 ÷ 4 = 4 Check: 16 + 4 = 20 (matches bottom middle). The missing number is 4. Question 10: Top number: 5 Bottom middle: 48 Bottom right: 8 Missing: Bottom left octagon Using the pattern: Top number = Bottom left ÷ Bottom right 5 = Bottom left ÷ 8 Bottom left = 5 × 8 = 40 Check with the second rule: Bottom middle = Bottom left + Bottom right 48 = 40 + 8 48 = 48 The missing number is 40. Question 11: Bottom left: 18 Bottom right: 2 Missing: Top circle Using the pattern: Top number = Bottom left ÷ Bottom right Top number = 18 ÷ 2 = 9 Check: 18 + 2 = 20 (matches bottom middle). The missing number is 9. Question 12: Bottom left: 48 Bottom right: 6 Missing: Top circle Using the pattern: Top number = Bottom left ÷ Bottom right Top number = 48 ÷ 6 = 8 Check: 48 + 6 = 54 (matches bottom middle). The missing number is 8. Drop the next question!