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Class 10 Maths important questions for the pre-board: 3 types to practise

Pre-board papers follow the board design: five sections, 80 marks, 3 hours. These three questions are standard board question types that students are expected to do quickly and without a slip: a tangent-angle question from Circles, a Trigonometry question that starts from an identity, and the median of grouped data in Statistics. All three are original, not copied from any textbook or sample paper.

Three standard question types

Circles

Two Tangents, One Angle

2 marks, about 5 minutes. Two tangents from a point, and the angle between a radius and a chord.

Try it step by step
Trigonometry

From an Identity to an Angle

3 marks, about 7 minutes. Use one identity to leave only sin θ, then read off the angle.

Try it step by step
Statistics

The Median of Grouped Marks

3 marks, about 7 minutes. Build the cumulative frequencies, find the median class, then use the formula.

Try it step by step

Each question is split into small steps. If you get stuck, the hints ask you a question that points the way. They never just show you the answer. Every question was written for Young Math Brains and checked twice.

How to revise with important questions

  1. For each question type, write down the method in one line after you solve it. Pre-board papers reward knowing the method.
  2. In Circles, always mark the right angle between the tangent and the radius first. Most tangent questions use it.
  3. In Trigonometry, if an equation mixes sin² and cos², replace one using sin² θ + cos² θ = 1 before you do anything else.
  4. In Statistics, find the median class before you write the formula. Then list l, cf, f and h separately.
  5. Mark the questions where you needed a hint. Redo those a day later without hints.

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Young Math Brains has lessons, practice and board-style tests for all 14 chapters of CBSE Class 10 Maths, and every answer is checked. Start free with Pair of Linear Equations. No card needed.