MATHS QUIZ TWO

 
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#1. Additive inverse of complex number (a+bi) is:

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#2. If |A|=5 for a 2×2 matrix A, then |2A| is:

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#3. The transpose of a diagonal matrix is a:

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#4. Which of the following is an irrational number?

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#5. If f:A->B and range of f=B then f is called:

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#6. The degree of polynomial equation 3x^4 – 2x^2 + 7 = 0 is:

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#7. If synthetic division is performed, the remainder obtained when P(x) is divided by (x-a) is:

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#8. If roots of quadratic equation are equal, the value of b^2 – 4ac is:

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#9. Harmonic Mean between 2 and 4 is:

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#10. The sum of n terms of an A.P. is given by:

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#11. If a, b, c are in G.P., then:

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#12. If a, b, c are in A.P., then:

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#13. The value of 7C0 is:

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#14. Number of diagonals in a polygon of n sides is:

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#15. Probability of impossible event is:

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#16. Probability of a sure event is:

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#17. Value of sin(180°):

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#18. Value of cos(180°):

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#19. Value of tan(90°):

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#20. 1 radian is equal to approximately:

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#21. To convert degree into radian, we multiply by:

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#22. Angle subtended at the center of circle of radius r by arc length l is θ =

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#23. cos(-θ) =

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#24. sin(-θ) =

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#25. In triangle ABC, sum of internal angles (A+B+C) is:

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#26. Derivative of cosec(x) is:

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#27. Derivative of cot(x) is:

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#28. d/dx(u*v) product rule is:

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#29. If y=c (constant), then dy/dx is:

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#30. ∫ dx =

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#31. ∫ a^x dx =

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#32. ∫ cosec^2(x) dx =

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#33. Distance of point (x, y) from origin (0,0) is:

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#34. Slope of horizontal line (parallel to x-axis) is:

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#35. Slope of vertical line (parallel to y-axis) is:

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#36. Equation of x-axis is:

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#37. Equation of y-axis is:

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#38. Magnitude of a unit vector is:

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#39. i x i (cross product of unit vector i with itself) is:

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#40. Vectors having same magnitude and direction are called:

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#41. In an ellipse, eccentricity ‘e’ is always:

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#42. In a hyperbola, eccentricity ‘e’ is always:

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#43. Length of latus rectum of parabola y^2=4ax is:

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#44. Centroid of a triangle divides each median in ratio:

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#45. Limit of (sin x / x) as x approaches 0 is:

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#46. Limit of (1 + 1/n)^n as n approaches infinity is:

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#47. If matrix A is 3×3 and |A|=4, then |adj A| is:

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#48. Number of subsets of a set with n elements is:

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#49. The sum of angles in a triangle in radians is:

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#50. The scalar product of two vectors is also known as:

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Maths Quiz 2 – Mathematics MCQs Practice and Problem-Solving Guide

Mathematics is a skill-based subject that improves through understanding and practice. Students preparing for academic examinations, admission tests, recruitment tests, and competitive assessments often need to solve mathematical questions accurately within a limited amount of time. Maths Quiz 2 is designed as an additional practice resource for learners who want to strengthen their numerical and problem-solving abilities.

Unlike subjects that can sometimes be prepared through reading alone, mathematics requires active participation. Students need to work through problems, identify mistakes, and repeat difficult concepts until the method becomes familiar.

The Purpose of Maths Quiz 2

Maths Quiz 2 gives learners an opportunity to test their knowledge through practice questions. The quiz can be used before studying a topic, after completing a chapter, or as part of a regular revision routine.

Taking a quiz before studying can help identify weak areas. Taking one after studying can show whether the learner has understood the topic.

The most useful approach is to treat every quiz as a learning exercise.

Core Areas of Mathematics

Number Systems

Understanding numbers is essential for mathematical problem-solving. Students should be familiar with natural numbers, whole numbers, integers, fractions, decimals, and basic numerical operations.

They should also understand concepts such as even and odd numbers, factors, multiples, prime numbers, and divisibility.

These basic concepts can appear directly in questions or form part of more complicated problems.

HCF and LCM

Highest Common Factor and Least Common Multiple are important mathematical concepts.

Students should understand how to find factors and multiples and how HCF and LCM are used in practical problems.

Word problems involving repeated events or grouping quantities may require knowledge of these concepts.

Profit, Loss, and Discount

Basic commercial mathematics is useful for many aptitude tests.

Students may be asked to calculate profit, loss, cost price, selling price, or discount. Understanding the relationship between these terms makes such questions easier.

Practice is important because the wording of questions can vary even when the underlying mathematical concept remains the same.

Simple Interest

Simple interest questions involve principal, rate, time, and interest.

A commonly used formula is:

Simple Interest = (Principal × Rate × Time) ÷ 100

Students should also learn how to identify the principal, percentage rate, and time period from a word problem.

Algebra

Algebra introduces variables into mathematics. Students should understand basic expressions, equations, and unknown values.

For example, if:

x + 5 = 12

then the value of x can be found by subtracting 5 from both sides.

The more students practice equations, the easier it becomes to recognize the appropriate solution method.

Practice Is More Important Than Guessing

When taking a multiple-choice mathematics quiz, some students try to guess answers without solving the problem. Although guessing may occasionally produce the correct option, it does not improve mathematical ability.

Instead, try to solve the problem independently first. Then compare your answer with the available options.

If your calculated answer is not among the options, carefully check your work. There may be a calculation error or a misunderstanding of the question.

Use Estimation to Check Answers

Estimation can be useful for checking whether an answer is reasonable.

For example, if a calculation involves multiplying 49 by 20, you can estimate the result by considering 50 × 20 = 1000. The actual answer should be close to that value.

Estimation does not replace exact calculation, but it can help identify obvious mistakes.

Time Management During Mathematics Tests

Time management is an important part of test preparation.

A useful practice strategy is to divide questions into three groups:

Easy: Questions that can be solved quickly.

Moderate: Questions requiring some calculation.

Difficult: Questions requiring more time or careful reasoning.

Start with questions you understand well when the test format permits this. This can help you secure marks efficiently before spending additional time on challenging problems.

Maintain an Error Log

An error log is one of the most useful tools for mathematics preparation.

For every mistake, record:

  1. The question type.
  2. Your incorrect method.
  3. The correct method.
  4. The final answer.
  5. The reason for the mistake.

After several practice sessions, patterns may appear. You may discover that you repeatedly make errors in percentages, fractions, algebra, or word problems.

This tells you exactly where additional practice is needed.

Build Confidence Gradually

Students sometimes develop fear of mathematics because they compare themselves with others. Mathematics is not simply a measure of natural ability. Practice and understanding can make a significant difference.

Start with basic questions and gradually move toward more difficult problems.

When a difficult question is solved successfully after several attempts, it becomes evidence that improvement is possible through practice.

Frequently Asked Questions

Can Maths Quiz 2 be used for competitive-test preparation?

Yes. It can be used as supplementary practice, although candidates should always prepare according to the official syllabus of their particular examination.

What if I cannot solve a question?

Read it again and identify exactly what information is provided. Then determine what the question is asking you to find.

Is memorizing formulas enough?

No. You also need to understand when and how to use each formula.

How often should I practice?

Regular practice is generally more effective than occasional long study sessions. Even a short daily practice session can help maintain mathematical skills.

Final Thoughts

Maths Quiz 2 can be an effective addition to a broader mathematics preparation plan. Use it to test your knowledge, practice calculations, and identify concepts that require further revision.

Remember that mathematics improves through active problem-solving. Study the concept, solve examples, take quizzes, review mistakes, and repeat difficult questions.

With consistent practice and a structured approach, students can develop better accuracy, speed, and confidence in mathematics.

Educational Notice: This quiz is intended for educational practice and self-assessment. It is not an official examination or a guarantee of performance in any particular test.

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