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Math Mock Test 2 – Chapter-wise Practice Questions 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 equations and number patterns in a more thoughtful way. It includes questions from Pair of Linear Equations in Two Variables (दो चरों वाले रैखिक समीकरण युग्म), Quadratic Equations (द्विघात समीकरण), Arithmetic Progressions (समांतर श्रेढ़ी) and Statistics (सांख्यिकी), so you can see how well you can turn word problems into equations and solve them correctly. 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

  • Graphical Method of Solving Linear Equations (रैखिक समीकरणों को हल करने की आलेखीय विधि)
  • Substitution and Elimination Methods (प्रतिस्थापन और विलोपन विधि)
  • Consistency of a Pair of Linear Equations (रैखिक समीकरण युग्म की संगतता)
  • Completing the Square (पूर्ण वर्ग बनाना)
  • Word Problems on Arithmetic Progressions (समांतर श्रेढ़ी पर शाब्दिक प्रश्न)
  • Cumulative Frequency and Ogives (संचयी आवृत्ति और तोरण)
  • Mean, Median and Mode (माध्य, माध्यिका और बहुलक)

Questions students ask

Solve x + y = 5 and x − y = 1.

x = 3 and y = 2, found by adding the two equations to get 2x = 6.

When does a pair of linear equations have infinitely many solutions?

When a₁/a₂ = b₁/b₂ = c₁/c₂, that is, the lines coincide.

Find the roots of x² − 4x + 3 = 0.

x = 1 and x = 3, since x² − 4x + 3 = (x − 1)(x − 3).

Which term of the AP 3, 8, 13, ... is 78?

The 16th term, since 78 = 3 + (n − 1) × 5 gives n = 16.

What is an ogive (तोरण)?

A graph of cumulative frequency, used to find the median of grouped data.

What is the mode (बहुलक) of 2, 3, 3, 5, 3, 7?

3, because it occurs most often.