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Math Mock Test 7 – Full Syllabus Practice Paper Online

🏆 Scholarship test ✓ Free Class 10 Math

About this test

This Mathematics (गणित) mock test is made for Class 10 students who want to practise the algebra and number chapters in more depth. It includes questions from Real Numbers (वास्तविक संख्याएँ), Polynomials (बहुपद), Linear Equations (रैखिक समीकरण) and Quadratic Equations (द्विघात समीकरण), so you can see how well you handle equations and factorisation under time pressure. Solve it in one sitting with a timer, using only a pen and paper. Afterwards, check every step of your working and note where you made calculation or concept mistakes. Regular practice like this builds speed and accuracy for school tests and the board exam (बोर्ड परीक्षा).

38Questions
180Minutes
80Marks

What this test covers

  • Euclid's Division Lemma (यूक्लिड विभाजन प्रमेयिका)
  • Fundamental Theorem of Arithmetic (अंकगणित की आधारभूत प्रमेय)
  • Irrational Numbers (अपरिमेय संख्याएँ)
  • Relationship between Zeroes and Coefficients (शून्यकों और गुणांकों में संबंध)
  • Pair of Linear Equations in Two Variables (दो चरों वाले रैखिक समीकरण युग्म)
  • Solving Quadratic Equations by Factorisation (गुणनखंडन से द्विघात समीकरण हल करना)
  • Nature of Roots (मूलों की प्रकृति)

Questions students ask

What is Euclid's Division Lemma (यूक्लिड विभाजन प्रमेयिका)?

For positive integers a and b, there exist unique integers q and r such that a = bq + r, where 0 ≤ r < b.

Is √2 a rational or irrational number (अपरिमेय संख्या)?

Irrational, because it cannot be written as a fraction p/q of two integers.

What is the sum of the zeroes (शून्यक) of ax² + bx + c?

−b/a

When does a pair of linear equations have no solution?

When the lines are parallel, that is, a₁/a₂ = b₁/b₂ ≠ c₁/c₂.

Solve x² − 7x + 12 = 0.

x = 3 or x = 4, since x² − 7x + 12 = (x − 3)(x − 4).

When does a quadratic equation have two equal real roots?

When the discriminant (विविक्तकर) D = b² − 4ac equals 0.