NCERT-style practice examples, short answers, and downloadable mathematics PDFs in one revision-focused page.
Class 10th Mathematics
Math examples, revision support, and uploaded PDFs for Class 10th.
This page brings together Class 10th mathematics examples, quick-answer revision support, and PDF uploads so students can practice chapter by chapter with a clearer path.
Algebra support
Trigonometry practice
Board revision
Upload Mathematics-only PDF files or note content directly here for Class 10th learners.
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Class 10th Mathematics notes and PDFs
These items are pulled from SSP uploaded study materials that match Class 10th mathematics topics.
When SSP uploads Mathematics notes or PDF resources for Class 10th, they will appear here automatically.
Practice Zone
Chapter-wise NCERT-style mathematics examples
These are original practice examples inspired by Class 10th NCERT mathematics chapters, written to help students practice clearly and safely.
Real Numbers
Example 1
Use Euclid’s division algorithm to find the HCF of 72 and 30.
Answer:
72 = 30 x 2 + 12, 30 = 12 x 2 + 6, 12 = 6 x 2 + 0. So the HCF is 6.
Polynomials
Example 1
Find the zeroes of x^2 - 5x + 6.
Answer:
Factorize: x^2 - 5x + 6 = (x - 2)(x - 3). So the zeroes are 2 and 3.
Pair of Linear Equations in Two Variables
Example 1
Solve: x + y = 7 and x - y = 1.
Answer:
Add the equations: 2x = 8, so x = 4. Substitute into x + y = 7 to get y = 3.
Quadratic Equations
Example 1
Solve x^2 - 7x + 12 = 0.
Answer:
Factorize: (x - 3)(x - 4) = 0. Therefore x = 3 or x = 4.
Arithmetic Progressions
Example 1
Find the 10th term of the AP: 3, 7, 11, 15, ...
Answer:
Here a = 3 and d = 4. The 10th term is a + 9d = 3 + 36 = 39.
Triangles
Example 1
State the Basic Proportionality Theorem.
Answer:
If a line is drawn parallel to one side of a triangle to intersect the other two sides, then it divides those two sides in the same ratio.
Coordinate Geometry
Example 1
Find the distance between A(2, 3) and B(8, 11).
Answer:
Distance = sqrt((8-2)^2 + (11-3)^2) = sqrt(36 + 64) = sqrt(100) = 10.
Introduction to Trigonometry
Example 1
If sin theta = 3/5, find cos theta for an acute angle.
Answer:
Using sin^2 theta + cos^2 theta = 1, cos theta = 4/5.
Circles
Example 1
What is the tangent to a circle?
Answer:
A tangent is a line that touches the circle at exactly one point.
Areas Related to Circles
Example 1
Find the area of a circle of radius 7 cm.
Answer:
Area = pi r^2 = 49pi = 154 cm^2 using pi = 22/7.
Statistics
Example 1
Find the mean of 4, 8, 10, 12, 16.
Answer:
Mean = (4 + 8 + 10 + 12 + 16) / 5 = 50 / 5 = 10.
Probability
Example 1
A coin is tossed once. Find the probability of getting a head.
Answer:
There are 2 equally likely outcomes and 1 favorable outcome. Probability = 1/2.