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Math Mock Test 5 – Numericals and Figure-Based Questions Online

Home / Tests / Scholar Tests / Math Mock Test 5 – Numericals and Figure-Based 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 geometry and coordinate-based problems. It includes questions from Coordinate Geometry (निर्देशांक ज्यामिति), Triangles (त्रिभुज), Circles (वृत्त) and Introduction to Trigonometry (त्रिकोणमिति का परिचय), so you can see how well you can draw figures, apply theorems and reason step by step. Solve it in one sitting with a timer, using only a pen, paper and a geometry box. 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

  • Distance Formula (दूरी सूत्र)
  • Section Formula (विभाजन सूत्र)
  • Area of a Triangle in Coordinate Geometry (निर्देशांक ज्यामिति में त्रिभुज का क्षेत्रफल)
  • Criteria for Similarity of Triangles (त्रिभुजों की समरूपता की कसौटियाँ)
  • Areas of Similar Triangles (समरूप त्रिभुजों के क्षेत्रफल)
  • Tangent to a Circle (वृत्त की स्पर्श रेखा)
  • Trigonometric Ratios of Specific Angles (विशिष्ट कोणों के त्रिकोणमितीय अनुपात)

Questions students ask

What is the distance (दूरी) of the point (3, 4) from the origin?

5 units, since √(3² + 4²) = √25 = 5.

What is the section formula (विभाजन सूत्र) for a point dividing a line in the ratio m : n internally?

((mx₂ + nx₁)/(m + n), (my₂ + ny₁)/(m + n))

What is the area of a triangle with vertices (x₁, y₁), (x₂, y₂), (x₃, y₃)?

½ |x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂)|

State the AA similarity criterion (समरूपता कसौटी).

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

What is the ratio of the areas of two similar triangles?

It equals the square of the ratio of their corresponding sides.

What is the value of tan 45°?

1

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