Mastering BODMAS: Essential Questions for Class 7 Students

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As students advance in their mathematical journey, the concept of BODMAS becomes crucial. BODMAS, an acronym for Brackets, Orders (i.e., powers and roots, etc.), Division, Multiplication, Addition, and Subtraction, provides a standardized order of operations for solving mathematical expressions. This guide will help Class 7 students grasp the BODMAS rule with ease through a series of questions designed to strengthen their understanding and application.

Why is BODMAS Important?

Understanding and applying the BODMAS rule is essential for solving complex mathematical expressions accurately. Without a clear understanding of the order of operations, students may arrive at incorrect answers, which can be frustrating and confusing.

The BODMAS Rule Explained

  1. Brackets (B): Solve expressions inside brackets first.
  2. Orders (O): Calculate powers and roots.
  3. Division and Multiplication (DM): From left to right.
  4. Addition and Subtraction (AS): From left to right.

BODMAS Questions for Practice

Here are some practice questions for Class 7 students to master BODMAS.

Simple BODMAS Questions

  • ( 8 + 3 \times 2 )
  • ( 15 - 6 \div 2 )
  • ( 7 + 8 \div 4 )
  • ( 12 \times 2 - 8 )

Intermediate BODMAS Questions

  1. ( (8 + 2) \times 3 )
  2. ( 6 + (12 \div 4) \times 3 )
  3. ( 20 - (3 \times 2) \div 3 )
  4. ( (15 - 5) \times (3 + 2) )

Advanced BODMAS Questions

  1. ( 2 \times (3^2 + 4) - 5 )
  2. ( (8 \div 4) + (12 \div 3) \times 2 )
  3. ( 3 + 2 \times (5 - 3^2) )
  4. ( (6 + 4) \div (2 \times 3) + 5 )

Detailed Solutions

Simple Questions Solutions

  1. ( 8 + 3 \times 2 = 8 + 6 = 14 )
  2. ( 15 - 6 \div 2 = 15 - 3 = 12 )
  3. ( 7 + 8 \div 4 = 7 + 2 = 9 )
  4. ( 12 \times 2 - 8 = 24 - 8 = 16 )

Intermediate Questions Solutions

  1. ( (8 + 2) \times 3 = 10 \times 3 = 30 )
  2. ( 6 + (12 \div 4) \times 3 = 6 + 3 \times 3 = 6 + 9 = 15 )
  3. ( 20 - (3 \times 2) \div 3 = 20 - 6 \div 3 = 20 - 2 = 18 )
  4. ( (15 - 5) \times (3 + 2) = 10 \times 5 = 50 )

Advanced Questions Solutions

  1. ( 2 \times (3^2 + 4) - 5 = 2 \times (9 + 4) - 5 = 2 \times 13 - 5 = 26 - 5 = 21 )
  2. ( (8 \div 4) + (12 \div 3) \times 2 = 2 + 4 \times 2 = 2 + 8 = 10 )
  3. ( 3 + 2 \times (5 - 3^2) = 3 + 2 \times (5 - 9) = 3 + 2 \times -4 = 3 - 8 = -5 )
  4. ( (6 + 4) \div (2 \times 3) + 5 = 10 \div 6 + 5 = \frac{10}{6} + 5 = \frac{5}{3} + 5 = \frac{5}{3} + \frac{15}{3} = \frac{20}{3} = 6.67 )

50 BODMAS Questions for Class 7

Simple BODMAS Questions

  1. ( 8 + 3 \times 2 )
  2. ( 15 - 6 \div 2 )
  3. ( 7 + 8 \div 4 )
  4. ( 12 \times 2 - 8 )
  5. ( 10 - 3 + 2 \times 5 )
  6. ( 9 \div 3 + 4 \times 2 )
  7. ( 5 + 3 \times 4 - 6 )
  8. ( 18 \div 6 + 7 - 2 )
  9. ( 8 + 4 \times 3 - 2 )
  10. ( 20 - 5 + 3 \times 2 )

Intermediate BODMAS Questions

  1. ( (8 + 2) \times 3 )
  2. ( 6 + (12 \div 4) \times 3 )
  3. ( 20 - (3 \times 2) \div 3 )
  4. ( (15 - 5) \times (3 + 2) )
  5. ( (10 + 2) \times 2 )
  6. ( 18 \div (3 + 3) )
  7. ( 5 \times (6 - 2) + 3 )
  8. ( (8 + 2) \div (2 \times 1) )
  9. ( (12 \div 3) + (4 \times 2) )
  10. ( 9 + (6 \div 3) \times 4 )

Advanced BODMAS Questions

  1. ( 2 \times (3^2 + 4) - 5 )
  2. ( (8 \div 4) + (12 \div 3) \times 2 )
  3. ( 3 + 2 \times (5 - 3^2) )
  4. ( (6 + 4) \div (2 \times 3) + 5 )
  5. ( 5 \times (3^2 + 1) \div 2 )
  6. ( (10 - 2) \times (3 + 1) )
  7. ( 6 + (4^2 - 2) \div 2 )
  8. ( (15 \div 3) + (6 \times 2) )
  9. ( 3 \times (5 - 2^2) + 4 )
  10. ( (8 + 2 \times 3) \div 2 )

Mixed BODMAS Questions

  1. ( (5 + 3) \times (2 + 1) )
  2. ( 4 \times (6 - 2) + 3^2 )
  3. ( 8 \div (2 + 2) \times 3 )
  4. ( (7 + 3) \times (5 - 2) )
  5. ( 10 \div (5 - 3) + 6 )
  6. ( (9 \times 2) \div (3 + 3) )
  7. ( 7 + (8 - 2) \times 3 )
  8. ( (4^2 + 3) \div (2 \times 2) )
  9. ( (6 + 4 \times 2) - 5 )
  10. ( (12 \div 4) \times (3 + 1) )

Challenging BODMAS Questions

  1. ( 3 + (6 \times 2 - 4) \div 2 )
  2. ( (5 + 3 \div 3) \times 4 )
  3. ( (8 \times 2 - 4) \div 2 + 3 )
  4. ( (9 + 3) \div (6 - 2) \times 2 )
  5. ( 2 \times (5 - 3) + (6 \div 3) )
  6. ( (10 - 2) \div (4 \div 2) )
  7. ( (6 \times 2 + 4) \div 2 )
  8. ( 3 \times (8 - 4) + 2^2 )
  9. ( (7 + 5) \div (2 + 1) \times 3 )

Conclusion

These 50 BODMAS questions range from simple to challenging, designed to test and improve Class 7 students’ understanding of the order of operations. Encourage students to work through these problems and check their answers to ensure they grasp the BODMAS rule thoroughly. Regular practice will help build confidence and proficiency in solving complex mathematical expressions. Happy solving!

Happy learning!

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