A LITTLE PRACTICE. A CLEARER NEXT STEP.

Try a question.
Understand a little more.

Choose your class for a five-question practice check, a worked example and a printable mini worksheet with solutions. Everything here opens without an account.

अपनी कक्षा चुनें। सवाल हल करें, अपनी गलतियों को समझें और अगला कदम तय करें।

No login Answers explained Classes 6–12
CLASS 6

Fractions, factors & first steps in algebra

Practise number sense, equivalent fractions, simple equations and shapes.

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CLASS 7

Integers, equations & percentages

Connect operations with signs, fractions, proportions and simple equations.

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CLASS 8

Powers, equations & proportional thinking

Strengthen the ideas that connect middle-school maths with higher classes.

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CLASS 9

Polynomials, lines & geometry

Practise algebraic structure, coordinate ideas and clear mathematical reasoning.

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CLASS 10

Quadratics, progressions & trigonometry

Check your approach to a few school-maths topics before planning deeper practice.

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CLASS 11

Functions, sequences & coordinate geometry

Build dependable school-level foundations before attempting harder JEE problems.

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CLASS 12

Derivatives, integrals & probability

Try a short foundation check. This is not a JEE rank predictor or a complete syllabus test.

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THIS WEEK’S MATHS CHALLENGE · Classes 6–8

A remainder puzzle

Find the smallest positive whole number that leaves remainder 1 when divided by 2, 3 and 4, and is divisible by 5.

Need a hint?

First find numbers that are one more than a multiple of 12.

See the reasoning

25

The number minus 1 must be divisible by 2, 3 and 4, so it is a multiple of their LCM, 12. Candidates are 1, 13, 25, 37, … . The first divisible by 5 is 25.

Discuss your approach

Practice gives us a starting point.

These short checks sample a few topics and do not cover the full syllabus. Results are for self-practice; they do not predict board marks, JEE ranks or Olympiad results. The teaching plan is discussed after understanding the student’s class, curriculum and needs.

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