Full mock test

UP TGT Maths Full Mock 3

A full mock test for UPESSC TGT (Trained Graduate Teacher), the recruitment conducted by the Uttar Pradesh Education Service Selection Commission (UPESSC), Prayagraj. 120 questions for 360 marks in 120 minutes, with negative marking - the same pattern and the same clock as the exam.

Full-length UP TGT Mathematics paper on UPESSC's revised pattern: 90 subject questions + 30 General Studies, 3 marks each, 1 mark deducted per wrong answer, 2 hours.

Pitched at 13 easy, 41 medium and 66 hard questions.

Start this test 120 min · 120 Qs · 360 marks

Your first 2 tests on any paper are free. No card needed.

Paper pattern

SectionQuestionsCorrectWrong
General Studies30+3-1
Mathematics90+3-1
Total120360 marks

Topics in this paper

  • Trigonometry (Identities, Equations, Heights)10
  • Statistics & Probability9
  • Mensuration of Solids7
  • Euclidean Geometry, Triangles & Circles6
  • Real Analysis5
  • Sequences & Series5
  • Commercial Mathematics (Interest, Banking, Taxation)5
  • Limits, Continuity & Differentiation5
  • Real Numbers & Polynomials5
  • Mechanics (Statics & Dynamics)4
  • Differential Equations4
  • Sets, Relations & Functions4
  • Linear & Quadratic Equations4
  • Geography3
  • Current Affairs3
  • Awards & Honours3
  • Books & Authors3
  • Fundamentals3
  • Matrices & Determinants3
  • Straight Lines & Conic Sections3
  • Permutations, Combinations & Binomial Theorem3
  • Vectors & 3D Geometry3
  • Art & Culture2
  • Indian Polity2
  • Uttar Pradesh GK2
  • Moving Things, Work & Energy2
  • Complex Numbers2
  • Sports1
  • Organisations, Important Days & Schemes1
  • Physics1
  • Natural Phenomena1
  • Natural Resources (Upper Primary)1
  • The Living World1
  • ICT in Education1
  • Coordinate Geometry1
  • Abstract Algebra (Groups, Rings, Fields)1
  • Integration & Its Applications1

Sample questions from this paper

  1. General Awareness · Geography · easy

    Which strait separates India from Sri Lanka?

    कौन-सा जलडमरूमध्य भारत को श्रीलंका से अलग करता है?

    • ABering Straitबेरिंग जलडमरूमध्य
    • BStrait of Malaccaमलक्का जलडमरूमध्य
    • CTen Degree Channelदस डिग्री चैनल
    • DPalk Straitपाक जलडमरूमध्य

    Explanation

    The Palk Strait, together with the Gulf of Mannar to its south, lies between Tamil Nadu and Sri Lanka. The Ten Degree Channel separates the Andaman from the Nicobar group.

    पाक जलडमरूमध्य तथा उसके दक्षिण में मन्नार की खाड़ी तमिलनाडु और श्रीलंका के बीच स्थित हैं। दस डिग्री चैनल अंडमान को निकोबार समूह से अलग करता है।

  2. Mathematics (Secondary & Senior Secondary) · Mechanics (Statics & Dynamics) · hard

    Three concurrent forces P, Q and R are in equilibrium, and the angles opposite to them are 90°, 150° and 120°. If P = 10 N, what is Q?

    तीन संगामी बल P, Q तथा R साम्यावस्था में हैं, और उनके सम्मुख कोण क्रमशः 90°, 150° तथा 120° हैं। यदि P = 10 न्यूटन हो, तो Q कितना है?

    • A2.5 N2.5 न्यूटन
    • B4 N4 न्यूटन
    • C5 N5 न्यूटन
    • D8.66 N8.66 न्यूटन

    Explanation

    Lami's theorem gives P/sin 90° = Q/sin 150°. So Q = 10 × sin 150° ÷ sin 90° = 10 × 0.5 ÷ 1 = 5 N. The value 8.66 N is R, found from sin 120°.

    लामी प्रमेय से P/sin 90° = Q/sin 150°। अतः Q = 10 × sin 150° ÷ sin 90° = 10 × 0.5 ÷ 1 = 5 न्यूटन। मान 8.66 न्यूटन R है, जो sin 120° से मिलता है।

  3. General Awareness · Art & Culture · easy

    The Khajuraho group of temples, built by the Chandela rulers, is located in which state?

    चंदेल शासकों द्वारा निर्मित खजुराहो मंदिर समूह किस राज्य में स्थित है?

    • AMadhya Pradeshमध्य प्रदेश
    • BRajasthanराजस्थान
    • CGujaratगुजरात
    • DOdishaओडिशा

    Explanation

    The Khajuraho temples of Madhya Pradesh, built between the tenth and twelfth centuries in the Nagara style, are a UNESCO World Heritage Site.

    मध्य प्रदेश के खजुराहो मंदिर दसवीं से बारहवीं शताब्दी के बीच नागर शैली में बने थे और यूनेस्को विश्व धरोहर स्थल हैं।

The full paper has 120 questions. Start it to see your marks, rank and a topic-by-topic report the moment you submit.

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