Class 10 Maths Important Questions with Solutions 2026 – Most Repeated Board Questions

Namaste Baccho ! Main Anurag Mishra, Mathangles ke is platform par aapka swagat karta hoon. Pichle 12 saalon se Bamroli aur online madhyam se UP aur CBSE Board ke hazaron students ko padhane ke baad, maine ek baat notice ki hai—Board Exams kabhi bhi naye sawal nahi banata, balki woh hamesha ek khas pattern ko repeat karte hain. to mai aaj baat karuga Class 10 Maths Important Questions with Solutions 2026 ke baare me

Join us for pdf

Agar aapko Maths se darr lagta hai ya aapka syllabus abhi tak pura nahi hua hai, toh ghabraiye mat. Maine apne 12 saal ke anubhav aur pichle 10 saal ke board papers ka nichod nikaal kar yeh Most Repeated Questions ki list taiyar ki hai.

Maine khud M.Sc. Mathematics kiya hai aur ek teacher hone ke naate main jaanta hoon ki examiner ki nazar kin sawalon par rehti hai. Aaj ka yeh article aapki marksheet badalne ki taqat rakhta hai.

Is Article mein aapko kya milega?

Chapter-wise Important Questions: Jo pichle 10 saalon mein sabse zyada baar puche gaye hain.
Step-by-Step Solutions: Board exam ke ‘Step Marking’ pattern ke hisaab se.
Mathangles Special Tricks: Mushkil sawalon ko 1 minute mein solve karne ke tarike.
Expert Analysis: Kaun sa chapter aapko pass karwayega aur kaun sa topper banayega.

Class 10 board exam students ke liye Maths ek aisa subject hai jo ya to high scoring ban jata hai ya phir tension ka reason. Difference sirf preparation strategy ka hota hai. Bahut saare students pura syllabus padhne ki koshish karte hain lekin exam me marks unhe milte hain jo smart tarike se preparation karte hain. Is article me hum Class 10 Maths Important Questions 2026 ke baare me baat karenge, jo board pattern par based hain aur revision ke liye bahut useful hote hain.

Kyun Important Questions par Focus Karna Zaroori Hai

Class 10 Maths ka syllabus kaafi bada lag sakta hai, lekin exam paper ka pattern limited concepts ke around ghoomta hai. Agar student random study karne ke bajay Class 10 Maths Important Questions with Solutions 2026 ko focused banaye, to revision effective ho jata hai.

Students who feel confused about daily study routine can follow a 90 Days Study Plan for Class 10 Board Exam to balance revision and practice effectively.

Important questions se exam pattern samajh aata hai
Time management improve hota hai
Weak topics identify karne me madad milti hai
Confidence level increase hota hai

Isliye sirf theory padhne se zyada zaroori hai question practice.

Chapter Wise Most Repeated Question Areas

Neeche kuch aise chapters aur question types diye gaye hain jo board exams me baar baar dekhne ko milte hain.

Students should also check the Class 10 CBSE Date Sheet 2026 PDF to plan subject-wise revision according to exam gaps.

1. Quadratic Equations

Is chapter se roots find karna aur nature of roots identify karna common hota hai.

Example Question
Solve the quadratic equation x squared minus 7x plus 10 equals zero.

Solution Approach
Middle term ko split karke factorisation ki madad se equation solve ki jati hai. Is type ke sawal me steps sahi likhna bahut zaroori hota hai kyunki step marking milti hai.

Q1. Solve the quadratic equation
x² − 7x + 10 = 0

Solution:
We factories the quadratic equation.

x² − 7x + 10 = 0
We split the middle term:

x² − 5x − 2x + 10 = 0
x(x − 5) − 2(x − 5) = 0
(x − 5)(x − 2) = 0

So,
x − 5 = 0 or x − 2 = 0

x = 5 or x = 2

Q2. Find the nature of roots of the quadratic equation
2x² + 3x − 2 = 0

Solution:
Here, a = 2, b = 3, c = −2

Discriminant D = b² − 4ac
D = (3)² − 4(2)(−2)
D = 9 + 16 = 25

Since D > 0 and perfect square,
Roots are real, distinct and rational.

Is chapter ke alawa baaki chapters ke questions aur notes dekhne ke liye hamara full Class 10 Study Material section dekhein.

2. Arithmetic Progressions

AP se nth term aur sum of n terms wale questions frequently pooche jaate hain.

Fast revision ke liye students ko Class 10 Maths Chapter 1 Important Questions with Solutions PDF – Mathangles practice zarur karna chahiye

Example Question
Find the 15th term of the AP 3, 7, 11, 15.

Solution Approach
Formula a n equals a plus n minus 1 multiplied by d ka use karke answer nikala jata hai. Yahan calculation mistakes avoid karni chahiye.

Q3. Find the 15th term of the AP: 3, 7, 11, 15, …

Solution:
First term a = 3
Common difference d = 7 − 3 = 4
n = 15

Formula: aₙ = a + (n − 1)d

a₁₅ = 3 + (15 − 1) × 4
a₁₅ = 3 + 14 × 4
a₁₅ = 3 + 56
a₁₅ = 59

Q4. Find the sum of first 20 terms of AP: 5, 9, 13, …

Solution:
a = 5
d = 4
n = 20

Formula: Sₙ = n/2 [2a + (n − 1)d]

S₂₀ = 20/2 [2×5 + (19×4)]
S₂₀ = 10 [10 + 76]
S₂₀ = 10 × 86
S₂₀ = 860

3. Trigonometry

Trigonometric ratios aur identities se related questions board me regular hote hain.

Example Question
If sin A equals 3 by 5 and A is acute, find cos A and tan A.

Solution Approach
Identity sin square A plus cos square A equals 1 ka use karke cos A find kiya jata hai. Phir tan A equals sin A divided by cos A se tan A nikalte hain.

Q5. If sin A = 3/5 and A is acute, find cos A and tan A

Solution:
sin A = 3/5

Using identity:
sin²A + cos²A = 1

(3/5)² + cos²A = 1
9/25 + cos²A = 1
cos²A = 16/25
cos A = 4/5

tan A = sin A / cos A
tan A = (3/5) / (4/5)
tan A = 3/4

Q6. Prove that
(1 − tan²θ) / (1 + tan²θ) = cos 2θ

Solution:
LHS = (1 − tan²θ) / (1 + tan²θ)

We know:
1 + tan²θ = sec²θ

LHS = (1 − tan²θ) / sec²θ
= (1/sec²θ) − (tan²θ/sec²θ)
= cos²θ − sin²θ
= cos 2θ

Hence proved.

4. Statistics

Mean, median aur mode ke questions scoring hote hain.

Example Question
Find the mean of the data 10, 12, 15, 18, 20.

Solution Approach
Sabhi values ka sum karke total observations se divide kiya jata hai. Yahan presentation clear hona chahiye.

Class 10 Maths Important Questions with Solutions 2026 pdf file Download link aapko telegram par mil jayga niche join link hai

Q7. Find the mean of the data:
10, 12, 15, 18, 20

Solution:
Mean = (Sum of observations) / (Number of observations)

Sum = 10 + 12 + 15 + 18 + 20 = 75
Number of observations = 5

Mean = 75 / 5 = 15

Q8. Find the probability of getting a number divisible by 3 when a die is thrown.

Solution:
Possible outcomes = {1, 2, 3, 4, 5, 6}
Numbers divisible by 3 = {3, 6}

Favourable outcomes = 2
Total outcomes = 6

Probability = 2/6 = 1/3

5. Probability

Simple probability questions jaise dice aur cards se related problems common hote hain.

Example Question
Find the probability of getting a number divisible by 3 when a die is thrown.

Solution Approach
Favourable outcomes aur total outcomes ka ratio likha jata hai. Final answer simplest form me likhna chahiye.

Q8. Find the probability of getting a number divisible by 3 when a die is thrown.

Solution:
Possible outcomes = {1, 2, 3, 4, 5, 6}
Numbers divisible by 3 = {3, 6}

Favourable outcomes = 2
Total outcomes = 6

Probability = 2/6 = 1/3

6. Surface Area and Volume

Q9. Find the volume of a cylinder with radius 7 cm and height 10 cm.

Solution:
Formula: Volume = πr²h

= (22/7) × 7² × 10
= (22/7) × 49 × 10
= 22 × 7 × 10
= 1540 cm³

Q10. A sphere has radius 7 cm. Find its surface area.

Solution:
Formula: Surface Area = 4πr²

= 4 × (22/7) × 7²
= 4 × 22 × 7
= 616 cm²

7. Number Systems

Q11. Prove that √3 is irrational.

Solution:
Assume √3 is rational.
So √3 = p/q where p and q have no common factor.

Squaring both sides:
3 = p²/q²
p² = 3q²

So p² is divisible by 3 ⇒ p is divisible by 3.
Let p = 3k

Substitute:
(3k)² = 3q²
9k² = 3q²
q² = 3k²

So q is also divisible by 3.
But this means p and q both have common factor 3, which contradicts our assumption.

Hence, √3 is irrational.

8. Coordinate Geometry

Q12. Find the distance between points A(2, 3) and B(6, 6)

Solution:
Distance formula = √[(x₂ − x₁)² + (y₂ − y₁)²]

= √[(6 − 2)² + (6 − 3)²]
= √[4² + 3²]
= √[16 + 9]
= √25
= 5 units

In Questions ko Kaise Practice Kare-Class 10 Maths Important Questions with Solutions 2026

Sirf questions dekh lena kaafi nahi hota. Sahi tarike se practice karna zaroori hai.

Pehle khud se solve karne ki koshish karein
Phir solution dekh kar apne steps compare karein
Galtiyon ki alag copy banayein
Same type ke aur questions practice karein
Har chapter ke formula regularly revise karein

Is process se concept clarity strong hoti hai.

Along with Maths practice, students should also solve a Science Sample Paper Class 10 2025 with Solutions to improve overall board exam confidence.

Board Exam me Step Marking ka Fayda

Maths ek aisa subject hai jahan final answer galat hone par bhi marks mil sakte hain agar steps sahi likhe ho. Isliye kabhi bhi question blank na chhodein. Rough work side me karein lekin final steps clean aur systematic hone chahiye.

Common Mistakes Jo Students Ko Avoid Karni Chahiye

Direct answer likh dena bina steps ke
Units mention na karna
Formula galat likhna
Time management par dhyan na dena

In chhoti galtiyon se marks kaafi kam ho sakte hain.

Smart Revision Strategy for Maths

Last moment preparation me panic karne ke bajay structured revision karein.

Before solving important questions, students should revise all key formulas using the Class 10 Maths Formula Sheet PDF so that calculation mistakes can be avoided in the exam.

Formula sheet daily dekhein
Har chapter ke 5 to 10 important questions solve karein
Previous year pattern ko samajh kar practice karein
Weak topics ko ignore na karein

Consistent practice se Maths scoring subject ban sakta hai.

Conclusion

Maintaining a Spiral Notebook for Class 10 Board Exam Notes helps students keep formulas, mistakes, and short tricks organised for quick revision.

Class 10 board exam me success sirf hard work se nahi balki smart work se milta hai. Agar students important question patterns ko samajh kar practice karein to performance clearly improve hoti hai. Upar diye gaye Class 10 Maths Important Questions 2026 type problems board level preparation ke liye effective hain. Regular revision, step wise solving aur confidence ke saath exam dene se Maths ka fear khatam ho sakta hai.

Aap in questions ko base bana kar apni preparation strong kar sakte hain aur dheere dheere pura syllabus cover kar sakte hain.Class 10 Maths Important Questions with Solutions 2026 ka detailed hand written hum ready kar rahe hai.Is chapter ke alawa baaki chapters ke questions aur notes dekhne ke liye hamara full Class 10 Study Material section dekhein.

We are preparing a chapter-wise Handwritten Important Questions Practice PDF of Class 10 Maths with detailed solutions. Students can join our Telegram channel to get the PDF first when it is released.

Note: hum Iski Handwritten pdf notes abhi tayyar kar rahe hai jaise hi ready ho jaygi hum downloaf link button laga dege sabse pahle download karne ke liye aap telegram join karke rakh lo. or jaldi hi insta link bhi mil jayga