Question 14 of 48intermediate⚖️ EvaluateShort Answer2 marks

What strategy did you use to place the numbers?

Correct Answer

Strategy: Corner numbers are counted twice (once for each adjacent side).

Step 1: Calculate the total of all numbers. Sum = 1 + 2 + 3 + 4 + 5 + 6 = 21

Step 2: Multiply the target sum by 3 to get the total of all sides.

Step 3: Find the difference between these two values. This difference equals the sum of corner numbers.

Step 4: Place numbers that add up to this difference at the corners.

Step 5: Distribute remaining numbers in middle positions.

Exercise: Let Us Play | Q: 16 | (Page Page 6)
For More Understanding

Explanation

This question encourages students to reflect on their problem-solving approach and articulate the mathematical reasoning behind their solution.

Solution Steps

  1. Understand that corner numbers are counted twice (once for each adjacent side).

  2. Calculate the total of all numbers: 1 + 2 + 3 + 4 + 5 + 6 = 21.

  3. Multiply the target sum by 3 to get the total of all sides.

  4. Find the difference between the two values (this equals the sum of corner numbers).

  5. Place numbers that add up to this difference at the corners.

  6. Distribute remaining numbers in middle positions.

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