Q1
In a magic square, sums across rows and columns are:
Aequal
Bdifferent
Calways zero
Drandom
CBSEClass 7 (CBSE)MathematicsCh 6 · Topic 1
Number Puzzles and Patterns
Exploring interesting number puzzles and their underlying patterns.
Core concept
A classic 3×3 magic square uses the numbers 1 through 9, arranged so every row, column, and diagonal sums to exactly 15. Similar number puzzles include number sequences with a hidden rule (like doubling each term, or alternating addition and subtraction), and cryptarithms, where letters represent digits in an arithmetic problem to be solved. These puzzles are not just recreational — they develop pattern recognition and problem-solving skills valuable throughout mathematics.
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• A magic square has every row, column, and diagonal summing to the same total (magic constant).
• A classic 3x3 magic square using 1-9 has a magic constant of 15.
• Number sequences and cryptarithms are other types of number puzzles.
• Solving number puzzles builds logical reasoning and pattern recognition skills.