Module 1 · Class 10 Olympiad · Formula Sheet

Real Numbers Formulas — Class 10 Olympiad

Apply Euclid's division algorithm, fundamental theorem of arithmetic, and prove irrationality at Olympiad level.

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Worked Examples

1Using: Place Value

Find the place value of 6 in 3,65,421.

Step 1: 6 is in the ten-thousands place.

Step 2: Place value = 6 x 10,000 = 60,000.

Answer: 60,000

2Using: Successor

Find the successor of 9,999.

Step 1: Successor = n + 1

Step 2: = 9,999 + 1 = 10,000.

Answer: 10,000

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More Class 10 Olympiad Formulas

PolynomialsPair of Linear Equations in Two VariablesQuadratic EquationsArithmetic ProgressionsTrianglesCoordinate Geometry

Frequently Asked Questions

How many formulas are in Class 10 Olympiad Real Numbers?+
There are several key formulas in the Real Numbers chapter for Class 10 Olympiad. Each formula is essential for solving problems in this topic.
How to remember Real Numbers formulas easily?+
Practice regularly with worked examples, group related formulas together, and use SparkEd's interactive practice mode to reinforce your memory through problem-solving.
Are these Real Numbers formulas enough for exams?+
Yes, these formulas cover the complete Olympiad Class 10 syllabus for Real Numbers. Practice applying them to different types of questions for full exam readiness.

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SparkEd Maths provides free formula sheets for Class 1-10 across 7 education boards. All formulas are aligned to the 2025-26 syllabus.