Algebra (Secondary)

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Algebra (Secondary) MCQ & Objective Questions

Algebra (Secondary) is a crucial component of mathematics that plays a significant role in your academic journey. Mastering this subject not only helps in school exams but also lays a strong foundation for competitive exams. Practicing MCQs and objective questions enhances your problem-solving skills and boosts your confidence, making it easier to tackle important questions during exams.

What You Will Practise Here

  • Linear equations and inequalities
  • Quadratic equations and their roots
  • Polynomials and factorization techniques
  • Functions and their graphs
  • Arithmetic and geometric progressions
  • Exponents and logarithms
  • Word problems involving algebraic expressions

Exam Relevance

Algebra (Secondary) is a vital topic in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect questions that test their understanding of concepts, application of formulas, and problem-solving abilities. Common question patterns include multiple-choice questions, fill-in-the-blanks, and numerical problems, which assess both conceptual clarity and computational skills.

Common Mistakes Students Make

  • Misinterpreting the question, leading to incorrect setups of equations.
  • Overlooking the importance of signs (positive/negative) in equations.
  • Confusing the properties of exponents and logarithms.
  • Failing to simplify expressions before solving problems.
  • Neglecting to check their answers for consistency with the original equations.

FAQs

Question: What are some effective ways to prepare for Algebra (Secondary) exams?
Answer: Regular practice of MCQs, reviewing key concepts, and solving previous years' question papers can significantly enhance your preparation.

Question: How can I improve my speed in solving algebraic problems?
Answer: Familiarity with formulas and regular practice of timed quizzes can help improve your speed and accuracy.

Now is the time to sharpen your skills! Dive into our practice MCQs and test your understanding of Algebra (Secondary). Remember, consistent practice is the key to success in exams!

3D Geometry Arithmetic and Geometric Progressions Arithmetic and Geometric Progressions - Applications Arithmetic and Geometric Progressions - Case Studies Arithmetic and Geometric Progressions - Problem Set Binomial Theorem Binomial Theorem (Intro) Binomial Theorem (Intro) - Applications Binomial Theorem (Intro) - Case Studies Binomial Theorem (Intro) - Problem Set Complex Numbers and Quadratic Equations Coordinate Geometry - Circles Coordinate Geometry - Straight Lines Differential Equations Factorization Techniques Factorization Techniques - Applications Factorization Techniques - Case Studies Factorization Techniques - Problem Set Indices and Surds Indices and Surds - Applications Indices and Surds - Case Studies Indices and Surds - Problem Set Inequalities and Their Applications Inequalities and Their Applications - Applications Inequalities and Their Applications - Case Studies Inequalities and Their Applications - Problem Set Integral Calculus Limit, Continuity and Differentiability Linear Equations in One Variable Linear Equations in One Variable - Applications Linear Equations in One Variable - Case Studies Linear Equations in One Variable - Problem Set Linear Programming Basics Linear Programming Basics - Applications Linear Programming Basics - Case Studies Linear Programming Basics - Problem Set Mathematical Induction Matrices and Determinants Pair of Linear Equations - Word Problems Pair of Linear Equations - Word Problems - Applications Pair of Linear Equations - Word Problems - Case Studies Pair of Linear Equations - Word Problems - Problem Set Permutations and Combinations Polynomials - Introduction Polynomials - Introduction - Applications Polynomials - Introduction - Case Studies Polynomials - Introduction - Problem Set Polynomials - Roots and Factor Theorem Polynomials - Roots and Factor Theorem - Applications Polynomials - Roots and Factor Theorem - Case Studies Polynomials - Roots and Factor Theorem - Problem Set Quadratic Equations Quadratic Equations - Applications Quadratic Equations - Case Studies Quadratic Equations - Problem Set Quadratic Formula Applications Quadratic Formula Applications - Applications Quadratic Formula Applications - Case Studies Quadratic Formula Applications - Problem Set Sequences and Series Sets, Relations and Functions Simultaneous Linear Equations Simultaneous Linear Equations - Applications Simultaneous Linear Equations - Case Studies Simultaneous Linear Equations - Problem Set Trigonometry - Advanced Problems Vector Algebra
Q. A bakery sells cakes and cookies. If the total number of items is 150 and the number of cakes is twice the number of cookies, how many cakes are there?
  • A. 100
  • B. 50
  • C. 75
  • D. 25
Q. A bookstore sells novels and magazines. If the total number of books is 200 and the number of novels is 3 times the number of magazines, how many novels are there?
  • A. 150
  • B. 120
  • C. 75
  • D. 100
Q. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?
  • A. 100 miles
  • B. 150 miles
  • C. 200 miles
  • D. 250 miles
Q. A company produces pens and pencils. If the total production is 500 items and the number of pens is 4 times the number of pencils, how many pens are produced?
  • A. 400
  • B. 100
  • C. 200
  • D. 300
Q. A concert hall has 300 seats. If the number of reserved seats is 50 more than the number of general admission seats, how many reserved seats are there?
  • A. 125
  • B. 175
  • C. 100
  • D. 150
Q. A farmer has chickens and cows. If there are 20 heads and 56 legs in total, how many cows are there?
  • A. 8
  • B. 10
  • C. 12
  • D. 14
Q. A farmer has chickens and cows. If there are 50 animals in total and the number of cows is 10 more than the number of chickens, how many cows are there?
  • A. 20
  • B. 30
  • C. 25
  • D. 15
Q. A fruit seller has apples and oranges. If the total number of fruits is 80 and the number of apples is 3 times the number of oranges, how many apples are there?
  • A. 60
  • B. 30
  • C. 40
  • D. 50
Q. A number decreased by 7 equals 12. What is the number?
  • A. 5
  • B. 19
  • C. 7
  • D. 12
Q. A number decreased by 7 is equal to 3. What is the number?
  • A. 8
  • B. 9
  • C. 10
  • D. 11
Q. A number is decreased by 4 and then multiplied by 3. The result is 18. What is the number?
  • A. 8
  • B. 10
  • C. 6
  • D. 7
Q. A number is decreased by 9 and then multiplied by 2 to give 10. What is the number?
  • A. 14
  • B. 15
  • C. 16
  • D. 17
Q. A number is decreased by 9 and then multiplied by 4 to give 28. What is the number?
  • A. 5
  • B. 7
  • C. 9
  • D. 11
Q. A number is divided by 2 and then increased by 3. The result is 10. What is the number?
  • A. 10
  • B. 14
  • C. 12
  • D. 8
Q. A number is divided by 2 and then increased by 6 to equal 10. What is the number?
  • A. 4
  • B. 6
  • C. 8
  • D. 10
Q. A number is divided by 2 and then increased by 6 to get 10. What is the number?
  • A. 4
  • B. 6
  • C. 8
  • D. 10
Q. A number is divided by 2 and then increased by 7 to equal 15. What is the number?
  • A. 10
  • B. 12
  • C. 14
  • D. 16
Q. A number is divided by 4 and then increased by 6 to equal 10. What is the number?
  • A. 8
  • B. 12
  • C. 16
  • D. 20
Q. A number is increased by 15 and the result is 45. What is the number?
  • A. 30
  • B. 15
  • C. 45
  • D. 60
Q. A number is increased by 25% and then decreased by 20%. If the final result is 96, what was the original number?
  • A. 80
  • B. 90
  • C. 100
  • D. 110
Q. A number is increased by 5 and then multiplied by 3 to give 24. What is the number?
  • A. 1
  • B. 3
  • C. 5
  • D. 7
Q. A number is increased by 5 and then multiplied by 3. The result is 24. What is the number?
  • A. 1
  • B. 3
  • C. 5
  • D. 7
Q. A number is multiplied by 3 and then decreased by 5. The result is 16. What is the number?
  • A. 7
  • B. 5
  • C. 10
  • D. 8
Q. A number is multiplied by 4 and then decreased by 8 to equal 16. What is the number?
  • A. 4
  • B. 6
  • C. 8
  • D. 10
Q. A number is subtracted from 15 and the result is 9. What is the number?
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. A number is tripled and then increased by 2 to equal 20. What is the number?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. A rectangle has a length that is 3 times its width. If the perimeter of the rectangle is 48 cm, what is the width?
  • A. 4 cm
  • B. 6 cm
  • C. 8 cm
  • D. 10 cm
Q. A rectangle has a length that is twice its width. If the width is w, what is the area of the rectangle?
  • A. 2w^2
  • B. w^2
  • C. 2w
  • D. w
Q. A rectangle's length is 3 times its width. If the perimeter is 48 cm, what is the width?
  • A. 4 cm
  • B. 6 cm
  • C. 8 cm
  • D. 10 cm
Q. A rectangle's length is 3 times its width. If the perimeter is 48, what is the width?
  • A. 4
  • B. 6
  • C. 8
  • D. 10
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