Question 11 of 20intermediate🔧 ApplyNumerical3 marks

Murugan made three squares with 10 matchsticks. How many squares can you make with 12 matchsticks?

Correct Answer

Given: 12 matchsticks

Step 1: Each separate square needs 4 matchsticks.

Step 2: Number of separate squares = 12 ÷ 4 = 3 squares

Step 3: If squares share sides, more squares can be formed with the same matchsticks.

Step 4: In a 2×22 \times 2 grid arrangement: 4 small squares + 1 large square = 5 squares total

Answer: With 12 matchsticks, 3 separate squares can be made, or 5 squares if sides are shared in a 2×22 \times 2 grid.

Exercise: Let us Do (Section 5) | Q: 5 | (Page Page 13)
For More Understanding

Explanation

The chapter presents a problem-solving activity with matchsticks. Children discover that when squares share sides, fewer matchsticks are needed, allowing more squares to be formed.

Solution Steps

  1. Step 1: Each separate square needs 4 matchsticks.

  2. Step 2: With 12 matchsticks, 12 ÷ 4 = 3 separate squares can be made.

  3. Step 3: If squares share sides (adjacent squares), more squares can be formed with the same matchsticks.

  4. Step 4: In a 2×22 \times 2 arrangement, 4 small squares share sides, and 1 large square is formed, giving 5 squares total.

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