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Class 10 Maths pre-board practice: a timed 25-minute set

Pre-boards test speed as much as method. This set has three original board-style questions worth 11 marks. At board pace, that is about 25 minutes. Start a timer, try each one yourself, and use a hint only when you are really stuck. These are not copied from any sample or past paper.

The set: 3 + 5 + 3 marks

Coordinate Geometry

Where the Y-Axis Cuts AB

3 marks, about 7 minutes. Find the ratio in which the y-axis divides AB, and the point where it cuts.

Try it step by step
Some Applications of Trigonometry

The Tower Seen From a Rooftop

5 marks, about 11 minutes. One angle gives you the distance, the other gives you the extra height.

Try it step by step
Probability

Square or Multiple of 6?

3 marks, about 7 minutes. Count two lists, then watch for the card that is on both.

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 get the most out of a timed set

  1. Write the time you start. Board pace is about 2 minutes 15 seconds a mark (3 hours for 80 marks).
  2. Draw the figure first in every Heights and Distances question. Mark the horizontal line from the observer.
  3. In Coordinate Geometry, decide which coordinate the condition fixes before you use the section formula.
  4. In Probability, list the favourable outcomes. Lists show the overlaps that adding numbers hides.
  5. Afterwards, note which step took longest. That is the topic to revise before the next paper.

Want questions like these for every chapter?

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.