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Free online calculators for CBSE Class 10 and 12 Mathematics. Practice algebra, calculus, trigonometry, statistics and probability questions with step-by-step solutions.
Ages 15-18 · February to March (CBSE Board Exams 2026)
Calculators are NOT permitted in any CBSE board examination. All calculations must be performed manually.
Calculators are not allowed in CBSE board exams, but these tools are perfect for checking your manual calculations during practice and revision.
Solve quadratic equations using the quadratic formula. Find roots, discriminant, and vertex. Free online quadratic formula calculator.
Calculate derivatives of any function step by step. Supports higher-order derivatives, partial derivatives, and common functions. Free online tool.
Calculate indefinite integrals (antiderivatives) of functions. Symbolic integration with step-by-step display. Free online integral calculator.
Calculate definite integrals with upper and lower bounds. Numerical integration using Simpson's rule. Free online definite integral calculator.
Calculate probability of events, complements, unions, and intersections. Free online probability calculator for statistics.
Calculate standard deviation, variance, mean, and more for any dataset. Supports population and sample statistics. Free online tool.
Solve algebraic equations for x. Handles linear, quadratic, polynomial, and simple equations. Free online equation solver.
Find all factors, prime factorisation, factor pairs, GCD, and LCM. Free online factor calculator with instant results.
Calculate triangle sides, angles, area, and perimeter. Supports SSS, SAS, ASA, AAS configurations. Free online triangle calculator.
Calculate logarithms with any base. Find natural log (ln), log base 10, and custom base logarithms. Free online log calculator.
Practice with these CBSE-style questions. Work through each problem by hand first, then check your answer using the calculator.
Problem:
Find the roots of 2x² − 5x + 3 = 0 using the quadratic formula.
Solution:
x = (5 ± √(25 − 24)) / 4 = (5 ± 1) / 4. So x = 6/4 = 3/2 or x = 4/4 = 1.
Answer: x = 3/2 or x = 1
Problem:
If sin A = 3/5, find cos A and tan A where A is acute.
Solution:
Using sin²A + cos²A = 1: cos²A = 1 − 9/25 = 16/25, so cos A = 4/5. tan A = sin A / cos A = (3/5) / (4/5) = 3/4.
Answer: cos A = 4/5, tan A = 3/4
Problem:
Find dy/dx if y = e²ˣ sin(3x).
Solution:
Using the product rule: dy/dx = e²ˣ × 3cos(3x) + sin(3x) × 2e²ˣ = e²ˣ(3cos(3x) + 2sin(3x)).
Answer: dy/dx = e²ˣ(3cos(3x) + 2sin(3x))
Problem:
Evaluate the integral of x² from 1 to 3.
Solution:
Antiderivative of x² is x³/3. Evaluate: [3³/3] − [1³/3] = 27/3 − 1/3 = 26/3.
Answer: 26/3 ≈ 8.67
Problem:
A bag contains 5 red and 3 blue balls. Two balls are drawn without replacement. Find the probability that both are red.
Solution:
P(both red) = (5/8) × (4/7) = 20/56 = 5/14.
Answer: 5/14 ≈ 0.357
Common questions about CBSE Mathematics exams and calculator use.
No. CBSE strictly prohibits calculators in all board examinations for both Class 10 and Class 12. All calculations must be done manually.
Use these calculators to check your manual calculations during practice. Work through problems by hand first, then verify your answers using the calculators. This builds accuracy and confidence for the exam.
CBSE board exams are typically held in February and March. The exact dates are announced by CBSE a few months before the examination period.
CBSE Class 12 Mathematics covers relations and functions, inverse trigonometric functions, matrices and determinants, continuity and differentiability, integrals, differential equations, vectors, three-dimensional geometry, linear programming, and probability.
The CBSE Class 12 Maths paper is for 80 marks (with 20 marks for internal assessment). It includes multiple-choice questions, short-answer questions, and long-answer questions with detailed working required.
Yes. CBSE provides mathematical log tables with the question paper for Class 12 exams when needed. Students do not need to memorise log values.