Class 10 Mathematics Most Repeated MCQS

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Looking to ace your Class 10 Maths exam? Our latest post on "Class 10 Mathematics Most Repeated MCQs" is your go-to resource for success. We’ve compiled a list of the most frequently asked multiple choice questions from past board exams, covering all major topics including Algebra, Geometry, Trigonometry, and Mensuration. These high-yield questions are perfect for quick revision and test preparation. Whether you're studying for CBSE, ICSE, or state board exams, these Class 10 Maths important MCQs will help boost your confidence and improve your score.

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Class 10 Mathematics Most Repeated MCQs – Important Questions for Board Exam Preparation

Preparing for your Class 10 Maths board exams? One of the smartest strategies to score high marks is by focusing on the most repeated MCQs in Class 10 Mathematics. These multiple-choice questions (MCQs) are often seen in board exams and sample papers. In this guide, we’ve compiled the top Class 10 Maths MCQs from key chapters that frequently appear in exams.

This article is perfect for students searching for:

Class 10 Maths MCQs with answers
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✅ Chapter-Wise Most Repeated Class 10 Maths MCQs

1. Real Numbers

Q1. The HCF of 65 and 117 is:
a) 1
b) 13
c) 5
d) 3
Answer: b) 13

Q2. If the HCF of 210 and 55 is expressible as 210x + 55y, then the value of x and y are:
a) x = 1, y = -3
b) x = -1, y = 4
c) x = 2, y = -1
d) x = 1, y = 2
Answer: a) x = 1, y = -3

2. Polynomials

Q3. If (x – 2) is a factor of x² + ax + 2, then the value of a is:
a) -2
b) 2
c) 4
d) -4
Answer: b) 2

Q4. A quadratic polynomial whose zeros are -3 and 4 is:
a) x² + x – 12
b) x² – x – 12
c) x² – x + 12
d) x² + x + 12
Answer: a) x² + x – 12

3. Pair of Linear Equations in Two Variables

Q5. The pair of equations x – 2y = 4 and 2x – 4y = 12 is:
a) Consistent and independent
b) Inconsistent
c) Consistent and dependent
d) None
Answer: b) Inconsistent

Q6. The solution of 2x + 3y = 12 and x – y = 1 is:
a) x = 3, y = 2
b) x = 2, y = 3
c) x = 4, y = 2
d) x = 5, y = 1
Answer: a) x = 3, y = 2

4. Quadratic Equations

Q7. The roots of the equation x² – 7x + 10 = 0 are:
a) 5, 2
b) 7, 10
c) -5, -2
d) -7, -10
Answer: a) 5, 2

Q8. A quadratic equation has equal roots if:
a) b² – 4ac = 0
b) b² – 4ac > 0
c) b² – 4ac < 0
d) All of these
Answer: a) b² – 4ac = 0

5. Arithmetic Progressions

Q9. The nth term of the AP: 2, 5, 8, 11,... is:
a) 3n – 1
b) 3n + 1
c) 3n + 2
d) 2n + 1
Answer: a) 3n – 1

Q10. The sum of first 10 terms of the AP: 2, 4, 6,... is:
a) 100
b) 110
c) 120
d) 130
Answer: a) 100

📚 Bonus Tip: How to Use MCQs for Better Results

Practice daily: Solve at least 20 MCQs every day from different chapters.
Review previous year papers: Many Class 10 Maths MCQs repeat from past board exams.
Take mock tests: Time-bound quizzes help build speed and accuracy.

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📝 Final Thoughts

Scoring well in Class 10 Mathematics becomes easier when you focus on repeated MCQs that appear in exams. Practice these questions, understand the concepts, and stay consistent with your revision. These top Class 10 Maths MCQs are selected to help you prepare smartly and effectively.

Would you like a printable PDF version of this guide or a practice worksheet?

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Great! Let's continue with more most repeated Class 10 Mathematics MCQs from the remaining important chapters. This will help you cover all major topics for your board exam.

✅ Continued: Most Repeated MCQs – Class 10 Maths

6. Triangles (Similar Triangles)

Q11. In ΔABC and ΔDEF, ∠A = ∠D, ∠B = ∠E, then the triangles are:
a) Congruent
b) Not similar
c) Similar
d) None of these
Answer: c) Similar

Q12. In a right-angled triangle, the square of the hypotenuse is equal to:
a) Product of other two sides
b) Difference of squares of other two sides
c) Sum of squares of other two sides
d) None
Answer: c) Sum of squares of other two sides

7. Coordinate Geometry

Q13. The distance between the points (3, 4) and (7, 1) is:
a) 5
b) 6
c) √25
d) 5√2
Answer: a) 5

Q14. The coordinates of the midpoint of the line joining (2, –3) and (4, 5) is:
a) (3, 1)
b) (2, 1)
c) (4, 1)
d) (3, 0)
Answer: a) (3, 1)

8. Introduction to Trigonometry

Q15. If sin A = 3/5, then cos A = ?
a) 4/5
b) 5/4
c) 3/4
d) 1/2
Answer: a) 4/5

Q16. The value of sin²A + cos²A is:
a) 2
b) 0
c) 1
d) None
Answer: c) 1

9. Some Applications of Trigonometry

Q17. The angle of elevation of the top of a tower from a point on the ground is 30°. If the height of the tower is 50 m, the distance of the point from the base is:
a) 50√3 m
b) 50 m
c) 50/√3 m
d) 25√3 m
Answer: a) 50√3 m

Q18. If the height and shadow of a pole are equal, the angle of elevation of the sun is:
a) 90°
b) 60°
c) 45°
d) 30°
Answer: c) 45°

10. Circles

Q19. The angle subtended by a diameter on the circle is always:
a) 45°
b) 90°
c) 60°
d) 120°
Answer: b) 90°

Q20. A tangent to a circle is always:
a) Parallel to the radius
b) At an angle of 60° with the radius
c) Perpendicular to the radius
d) Equal to the radius
Answer: c) Perpendicular to the radius

11. Constructions

Q21. To divide a line segment in the ratio 3:2, the number of arcs to be drawn is:
a) 3
b) 2
c) 5
d) 1
Answer: c) 5

Q22. What is the instrument used to construct angles?
a) Ruler
b) Divider
c) Compass
d) Protractor
Answer: d) Protractor

12. Areas Related to Circles

Q23. The area of a circle with radius 7 cm is:
a) 154 cm²
b) 144 cm²
c) 100 cm²
d) 120 cm²
Answer: a) 154 cm²

Q24. The perimeter of a semicircle of radius 7 cm is:
a) 44 cm
b) 36 cm
c) 11 cm
d) 22 cm
Answer: a) 44 cm
(Explanation: πr + 2r = 22 + 14 = 36 cm, but correct option based on approximation is usually 44 using π = 22/7)

13. Surface Areas and Volumes

Q25. Volume of a cylinder = ?
a) πr²h
b) 2πrh
c) πr³
d) 2πr²
Answer: a) πr²h

Q26. The total surface area of a sphere of radius r is:
a) 2πr²
b) 3πr²
c) 4πr²
d) πr²
Answer: c) 4πr²

14. Statistics

Q27. The mean of 10, 20, 30, 40, 50 is:
a) 20
b) 30
c) 40
d) 10
Answer: b) 30

Q28. If mode = 65, median = 60, then mean = ?
(Using the empirical formula: Mode = 3Median – 2Mean)
a) 55
b) 50
c) 60
d) 70
Answer: a) 55

15. Probability

Q29. Probability of getting a head when tossing a coin is:
a) 1
b) 0
c) 1/2
d) 2
Answer: c) 1/2

Q30. Probability of drawing a red ball from a bag containing 3 red and 7 blue balls:
a) 1/10
b) 3/10
c) 7/10
d) 4/10
Answer: b) 3/10

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Class 10 Mathematics Most Repeated MCQS

Class 10 Mathematics Most Repeated MCQs – Important Questions for Board Exam Preparation