MATHEMATICS QUIZ THREE

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#1. If A=[[1,2],[3,4]], then trace of A is:

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#2. The value of i^14 is equal to:

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#3. If A and B are symmetric matrices of same order, then AB – BA is:

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#4. The modulus of complex number z=3-4i is:

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#5. If set A has 3 elements, then number of subsets of A is:

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#6. The main diagonal elements of a skew-symmetric matrix are always:

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#7. If f(x)=x^2-1, then f(-2) is:

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#8. The discriminant of quadratic equation ax^2+bx+c=0 is:

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#9. If roots of ax^2+bx+c=0 are equal, then discriminant is:

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#10. Sum of roots of 2x^2-4x+6=0 is:

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#11. Product of roots of 3x^2+5x-9=0 is:

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#12. If w is a complex cube root of unity, then 1+w+w^2=

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#13. The value of w^33 is

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#14. Arithmetic Mean between 4 and 16 is:

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#15. Geometric Mean between 4 and 16 is:

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#16. The nth term of an A.P. is given by:

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#17. Common ratio of G.P. 2, 6, 18, 54… is:

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#18. The sum of first n natural numbers is:

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#19. The value of 5! (5 factorial) is:

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#20. nCr is equal to:

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#21. If nP2=20, then value of n is:

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#22. In expansion of (x+y)^n the total number of terms is:

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#23. sin^2(θ)+cos^2(θ)=

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#24. 1+tan^2(θ)=

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#25. 1+cot^2(θ)=

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#26. sin(90°-θ)=

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#27. cos(180°-θ)=

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#28. Period of sin(x) is:

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#29. Period of tan(x) is:

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#30. Domain of sin(x) is:

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#31. Range of cos(x) is:

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#32. Derivative of x^n with respect to x is:

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#33. Derivative of sin(x) is:

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#34. Derivative of cos(x) is:

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#35. Derivative of tan(x) is:

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#36. Derivative of a constant term is:

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#37. ∫ xdx =

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#38. ∫ cos(x)dx =

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#39. ∫ sin(x)dx =

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#40. Distance between points (0,0) and (3,4) is:

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#41. Slope of line passing through (1,2) and (3,6) is:

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#42. Two lines are perpendicular if the product of their slopes (m1*m2) is:

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#43. Equation of a line parallel to x-axis is of the form:

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#44. The magnitude of vector v=3i+4j is:

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#45. If dot product of two non-zero vectors is zero, they are:

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#46. If cross product of two vectors is zero vector, they are:

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#47. The angle in a semicircle is:

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#48. Radii of the same circle are:

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#49. A function f: A->B is called one-one if different elements of A have:

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#50. The multiplicative identity of real numbers is:

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Maths Quiz 3 – Mathematics Test Practice and Concept Revision

A strong foundation in mathematics can help students perform better in examinations that include numerical and analytical questions. Whether a learner is preparing for an academic test, admission examination, recruitment assessment, or general aptitude test, regular mathematics practice can improve problem-solving skills.

Maths Quiz 3 is designed to provide another opportunity to practice mathematical questions and review important concepts. It can be used independently or alongside textbooks, notes, worksheets, and other learning materials.

Why Mathematics Practice Is Important

Mathematics is different from a subject that can be mastered by reading information repeatedly. Students need to actively solve problems.

When you solve a question, you practice several skills at the same time:

  • Understanding the problem
  • Selecting the correct method
  • Performing calculations
  • Checking the result
  • Managing time

Repeated practice strengthens these skills.

Topics Students Should Revise

Ratios

Ratios describe the relationship between quantities. Students should practice simplifying ratios and solving problems involving proportional quantities.

For example, a ratio of 4:8 can be simplified to 1:2.

Understanding equivalent ratios is important for more advanced problems.

Proportion

Proportion questions often involve relationships between two quantities. Students should learn to identify whether quantities increase or decrease together and then select an appropriate method.

Percentage Applications

Percentage questions can involve discounts, increases, decreases, examination marks, population changes, and financial calculations.

Candidates should practice both direct percentage calculations and word problems.

Averages

Students should be able to calculate averages and solve problems where an unknown value must be found from an average.

Always remember that an average represents a central value based on the total and the number of observations.

Basic Geometry

Geometry involves shapes, angles, lines, areas, and volumes.

Students should review common formulas for rectangles, squares, triangles, circles, and other basic figures included in their syllabus.

Read Questions Carefully

A common mathematics mistake is starting the calculation before understanding the question.

For every problem, first ask:

What information do I have?

Then:

What do I need to find?

Finally:

Which mathematical operation or formula connects the two?

This simple process can prevent many avoidable mistakes.

Draw Diagrams When Useful

For geometry and some word problems, drawing a simple diagram can make the information easier to understand.

The diagram does not need to be artistic. It only needs to represent the important relationships in the problem.

Labels can also help you remember which values are known and which values are unknown.

Practice Different Difficulty Levels

Do not practice only easy questions. Easy questions are useful for building confidence, but examinations can contain problems requiring several steps.

A balanced practice session can include:

  • Basic questions
  • Intermediate questions
  • Multi-step problems
  • Word problems
  • Time-limited questions

This helps students become comfortable with different forms of mathematical problems.

Check Your Work

After solving a question, take a moment to check the result whenever time permits.

Ask:

  • Did I copy the numbers correctly?
  • Did I use the correct operation?
  • Did I apply the correct formula?
  • Did I calculate accurately?
  • Does the answer make sense?

These checks can catch many careless errors.

Use Practice Tests as Feedback

A quiz score should not be viewed as a permanent measure of mathematical ability.

If your score is low, use it as feedback. Determine which topics caused difficulty and focus your study there.

For example, if you answered arithmetic questions correctly but struggled with geometry, dedicate more revision time to geometry.

Build a Weekly Practice Routine

A simple routine can make preparation easier.

Spend one day reviewing formulas, another solving arithmetic questions, another practicing algebra, and another working on geometry and word problems. End the week with a mixed quiz.

This provides both focused study and overall revision.

Frequently Asked Questions

Is Maths Quiz 3 useful for revision?

Yes. It can be used to review concepts and test whether you can apply them without looking at your notes.

Should I write down formulas?

Yes. Maintaining a formula sheet can make revision faster.

How can I reduce careless mistakes?

Read questions carefully, write calculations clearly, and check your answer when possible.

What is the best way to improve?

Regularly solve different types of questions and review every mistake.

Final Advice

Maths Quiz 3 can help learners turn mathematical knowledge into practical problem-solving ability. Use the quiz after studying relevant topics and carefully review any incorrect answers.

Mathematics becomes more manageable when preparation is divided into smaller concepts. Focus on understanding one topic at a time, practice several examples, and then test yourself.

Consistency is more important than attempting a large number of questions once. Regular practice can gradually improve accuracy, speed, and confidence.

Educational Notice: Maths Quiz 3 is provided for educational and practice purposes. It is not an official examination and does not replace the syllabus or instructions of any examination authority.

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