Skoolur
Free · no sign-up

Class 10 Maths quadratic equations test

The test has twenty-two questions focused exclusively on quadratic equations, which appear prominently on Class 10 board examinations and recur in coordinate geometry and applications of trigonometry. Most difficulties are not in recognising a quadratic, but in deciding whether to factorise or use the formula, and interpreting what the discriminant reveals. Each question is followed by a method explanation. The final screen identifies which chapter sections require further study.

  • 22 questions, marked instantly
  • Every answer comes with the reasoning
  • Ends by naming what to revise
  • Nothing stored, no account, no email

What this test covers

  • Standard form of a quadratic equation
  • Solving by factorisation
  • Solving by completing the square
  • The quadratic formula
  • The discriminant and nature of roots
  • Sum and product of roots
  • Word problems leading to quadratic equations
Ready when you are

20 questions, marked as you go

Drawn fresh from a bank of 22, so another go is mostly different questions. Every one explains its method after you answer, and the last screen names the chapters to revise.

Questions

20

Minutes

~15

Marking

Instant

Sign-up

None

How many questions?
How should it run?

How to read the result

Every question in this test

The whole paper, grouped by chapter, so you can see the level before anyone sits it. Three are shown below and the rest open up.

22 questions · 7 chapters

8 shown here - the rest are in the test and the PDF

  • Standard form2
  • Factorisation3
  • Completing the square2
  • Quadratic formula4
  • Discriminant and nature of roots5
  • Word problems4
  • Sum and product of roots2
  1. Question 1. Which of these is the standard form of a quadratic equation?

    • ax^3 + bx^2 + c = 0
    • ax^2 + b = 0 only
    • ax^2 + bx + c = 0, a not 0
    • ax + b = 0
  2. Question 2. Which of these equations is quadratic?

    • x^2 - 4 = 0
    • 2x - 7 = 3
    • 3x + 5 = 0
    • x^3 - x = 0
  3. Question 3. Solve by factorisation: x^2 - 5x + 6 = 0

    • x = 2, 3
    • x = 1, 6
    • x = -2, -3
    • x = 2, -3
Show 5 more
  1. Question 4. Solve by factorisation: x^2 + 3x - 10 = 0

    • x = -2, 5
    • x = -2, -5
    • x = 2, -5
    • x = 5, 10
  2. Question 5. Solve by factorisation: 2x^2 - 7x + 3 = 0

    • x = 1, 3
    • x = -3, -1/2
    • x = 3, 2
    • x = 3, 1/2
  3. Question 6. To complete the square for x^2 + 6x, what number should be added?

    • 3
    • 6
    • 36
    • 9
  4. Question 7. Solve x^2 - 4x - 5 = 0 by completing the square.

    • x = 5, 1
    • x = -5, 1
    • x = 4, -1
    • x = 5, -1
  5. Question 8. What is the quadratic formula for ax^2 + bx + c = 0?

    • x = (-b + root(b^2 - 4ac)) / 2a only
    • x = (b +/- root(b^2 + 4ac)) / 2a
    • x = (-b +/- root(b^2 - 4ac)) / 2a
    • x = (-b +/- root(b^2 - 4ac)) / a

Want all 22 on paper?

The PDF has every question, with the answer key on its own last page so you can hold it back and mark the work yourself.

Know a parent who'd want this?

A forward on WhatsApp takes ten seconds, and it means more to another parent than any ad.

WhatsApp

Class 10 Maths test - common questions

Why do so many board marks get lost on quadratic equations?

The difficulty lies not in the method itself, but in having three valid approaches—factorisation, completing the square and the formula. Selecting the slower option when time is tight means losing marks despite genuine understanding. Using the discriminant offers the quickest route to identify what type of roots to expect before settling on a method.

When should factorisation be used instead of the formula?

Use factorising whenever the equation resolves into whole numbers or uncomplicated fractions visibly—this proves quicker and demonstrates the method examiners prefer. Reserve the formula as an option when factorisation proves unsuccessful despite a swift attempt, not as the starting approach.

Is this Class 10 maths online test free?

Absolutely, it is entirely free with no registration required. There is no need for an email address, user account or login credentials. The test operates within your browser without retaining any information, and the score remains visible only in that session before vanishing when you close the browser tab. Our privacy policy reflects this practice directly rather than asking for your confidence.

Is there a timer?

Timing is optional and disabled initially. A first go should reveal what a child truly understands, not the pace at which they work when observed. When timed mode is enabled, approximately ninety seconds per question matches the board exam speed for objective-type questions.

Can my child take it more than once?

Repeatedly if desired. The question bank ensures variety, and each attempt reshuffles both the sequence and the answer options, making it impossible to succeed through memorisation. During board year exams, periodic retakes guided by your revision checklist prove more beneficial than a single extended study session.

How is this different from your Class 10 maths worksheets?

Paper worksheets concentrate on one chapter intensively and you score them yourself; tests automatically score and mix chapters like a real exam does. A test identifies the gap, worksheets then fill it—families typically find ten minutes here yields more gain than an hour practising something that never was the real difficulty.

Free · no card needed

See where your child really stands.

A free 20-minute assessment. We find where your child actually is, then tell you what we would do about it. No card, no commitment.

  1. Tell us the class, the board, and where it is going wrong.
  2. We find a teacher who has taught that exact thing, and offer a slot.
  3. A free 20-minute assessment - stay and watch if you would like to.
  • No card, nothing to commit to
  • Live classes, never a crowded room
  • One teacher, every single week

Book a free assessment

A free 20-minute assessment. We find where your child actually is, then tell you what we would do about it. No card, no commitment.

Outside India? Add your country code, like +971.

Or message us on WhatsApp

We only use your number to arrange classes with Skoolur. No spam, no selling your details on, ever.