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CLASS 10 · FREE LEARNING CORNER

Quadratics, progressions & trigonometry

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

Try the 5-question checkRead the example & worksheet ↓

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अपना Maths Level जानें

Five questions. No timer, no registration. Keep a notebook nearby and show your working. This is a small practice snapshot, not a full assessment or rank prediction.

CLASS 10 · SAMPLE MODULE

Understand. Work it out. Check.

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One idea to remember

To solve a factorisable quadratic, write it as a product equal to zero. At least one factor must then be zero. Always check that your solutions satisfy the original equation.

Worked example: Solve x² − 5x + 6 = 0.

  1. Find two numbers with product 6 and sum −5: −2 and −3.
  2. Factorise: (x − 2)(x − 3) = 0.
  3. Therefore x = 2 or x = 3. Both make the original expression zero.

Your turn

Write your method before opening the answer. These original questions are for practice, not official past-exam papers.

1. Solve x² − 9x + 20 = 0.

Show answer & explanation

x = 4, 5

The numbers −4 and −5 have sum −9 and product 20. So (x − 4)(x − 5) = 0, giving 4 and 5.

2. Find the sum of the first 10 terms of 2, 5, 8, …

Show answer & explanation

155

Sₙ = n/2 × [2a + (n − 1)d]. Here S₁₀ = 5 × [4 + 27] = 155.

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