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Math Mock Test 3 – Online Practice Test with Answer Checking.

🏆 Scholarship test ✓ Free Class 10 Math

About this test

This Mathematics (गणित) mock test is made for Class 10 students who want to practise trigonometry and its real-life uses. It includes questions from Introduction to Trigonometry (त्रिकोणमिति का परिचय), Trigonometric Identities (त्रिकोणमितीय सर्वसमिकाएँ), Heights and Distances (ऊँचाई और दूरी) and Probability (प्रायिकता), so you can see how well you can use formulas and draw clear figures for word problems. 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

  • Trigonometric Ratios (त्रिकोणमितीय अनुपात)
  • Values of Trigonometric Ratios for 0°, 30°, 45°, 60° and 90° (विशिष्ट कोणों के त्रिकोणमितीय अनुपातों के मान)
  • Trigonometric Ratios of Complementary Angles (पूरक कोणों के त्रिकोणमितीय अनुपात)
  • Proving Trigonometric Identities (त्रिकोणमितीय सर्वसमिकाएँ सिद्ध करना)
  • Angle of Elevation (उन्नयन कोण)
  • Angle of Depression (अवनमन कोण)
  • Classical Definition of Probability (प्रायिकता की शास्त्रीय परिभाषा)

Questions students ask

What is sin θ in a right-angled triangle?

Perpendicular / Hypotenuse

What is the value of sin 90°?

1

What is the value of sin (90° − θ)?

cos θ

What is the identity (सर्वसमिका) relating 1 and tan θ?

1 + tan²θ = sec²θ

A ladder 10 m long leans against a wall and makes an angle of 30° with the ground. How high does it reach?

5 m, since height = 10 × sin 30° = 10 × ½ = 5 m.

What is the probability (प्रायिकता) of getting an even number when a die is thrown once?

1/2, since 3 of the 6 outcomes (2, 4, 6) are even.