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Math Mock Test 4 – Important Questions for Exam Preparation

Home / Tests / Scholar Tests / Math Mock Test 4 – Important Questions for Exam Preparation
🏆 Scholarship test ✓ Free Class 10 Math

About this test

This Mathematics (गणित) mock test is made for Class 10 students who want to practise number patterns and algebra-based problem solving. It includes questions from Arithmetic Progressions (समांतर श्रेढ़ी), Quadratic Equations (द्विघात समीकरण), Polynomials (बहुपद) and Real Numbers (वास्तविक संख्याएँ), so you can see how well you can form equations, find patterns and solve word problems. 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

  • Finding the nth Term of an AP (समांतर श्रेढ़ी का nवाँ पद)
  • Sum of First n Terms of an AP (समांतर श्रेढ़ी के प्रथम n पदों का योग)
  • Word Problems on Quadratic Equations (द्विघात समीकरण पर शाब्दिक प्रश्न)
  • Quadratic Formula (द्विघात सूत्र)
  • Division Algorithm for Polynomials (बहुपदों के लिए विभाजन एल्गोरिथ्म)
  • HCF and LCM using Prime Factorisation (अभाज्य गुणनखंडन से HCF और LCM)
  • Decimal Expansions of Rational Numbers (परिमेय संख्याओं के दशमलव प्रसार)

Questions students ask

Find the 10th term of the AP 2, 7, 12, ...

47, since a₁₀ = 2 + (10 − 1) × 5 = 47.

What is the sum of the first 20 natural numbers?

210, since S₂₀ = 20/2 × (1 + 20) = 210.

What is the quadratic formula (द्विघात सूत्र)?

x = [−b ± √(b² − 4ac)] / 2a

Find the roots of x² − 5x + 6 = 0.

x = 2 and x = 3.

If p(x) is divided by g(x), what does the division algorithm (विभाजन एल्गोरिथ्म) state?

p(x) = g(x) × q(x) + r(x), where r(x) = 0 or the degree of r(x) is less than the degree of g(x).

What is the relation between HCF, LCM and two numbers a and b?

HCF(a, b) × LCM(a, b) = a × b

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