Mathematics Review for Entrance Exam

Nov 22, 2024

Mathematics and Model Paper Review for Odisha Adarshapit Entrance Exam

Introduction

  • Welcome to K2 enrichment YouTube channel.
  • Focus on top selected questions for the entrance exam.
  • Emphasis on understanding new concepts.

Key Concepts Discussed

Basic Arithmetic Operations

  • Adding Fractions:
    • Example: 1/4 + 1/4 + 1/4 = 3/4.
    • Important to convert losses in arithmetic.

Order of Fractions

  • Ascending Order:

    • Example: Arrange 5/17, 8/17, 9/17, and 10/17.
    • Rule: When denominators are the same, order by numerators.
    • Result: 5/17, 8/17, 9/17, 10/17.
  • Descending Order:

    • Example: Arrange 17/25, 17/30, 17/13, 17/19.
    • Rule: When numerators are the same, smaller denominators indicate larger values.
    • Result: 17/13, 17/19, 17/25, 17/30.

Fraction and Decimal Operations

  • Multiplying fractions and converting to decimal:

    • Example: 6/7 multiplied by 10/10 equals 60/70.
  • Mixed Fraction Operations:

    • Example: 3 1/4 - 2 1/2 = 3/4.
    • Conversion to improper fractions before performing operations.

Powers and Roots

  • Understanding square roots and powers:

    • Power operation: 2^8 square root is 2^4 = 16.
  • Decimal multiplication: 4.5 x 0.2 = 0.9.

Ratios and Proportions

  • Fourth Proportional:

    • Find the fourth proportional of 4, 9, and 12.
    • Result: 27.
  • Mean Proportional:

    • Between 9 and 16, result: 12.

Unit Conversions

  • Converting between units:
    • Distance: 1 km = 1000 m or 100,000 cm.
    • Mass: 1 kg = 1000 g.
    • Volume: 1 liter = 1000 ml.

Practical Applications

  • Cost Calculation:
    • Example: Bus fare calculation based on distance.

Conclusion

  • Emphasis on understanding and practicing various mathematical concepts.
  • Encouraging students to like, share, and subscribe to the channel for more educational content.