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EAMCET Engineering Maths Practice Test Online

AP / TS EAMCET Engineering Maths practice test on calculus, algebra, vectors, coordinate geometry and probability with worked solutions.

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About this EAMCET Engineering Math practice test

EAMCET (now EAPCET) Maths is the single highest-weightage section of the AP and Telangana engineering entrance — 80 of 160 marks. This practice test is built around the official EAMCET syllabus drawn from the AP/TS Intermediate Mathematics textbooks (1A and 1B). It covers Functions, Matrices, Trigonometry, Vector Algebra, Probability, Calculus and Coordinate Geometry. Pace matters in EAMCET (about 60 seconds per question), so the starter set is designed to be solvable quickly with one main concept per question. Replace it with previous-year EAMCET questions to generate a fresh, chapter-focused mock paper of the same length.

EAMCET Engineering Maths Practice Test sample questions

These starter questions help you launch a math mock test quickly. Swap them with your own worksheet, notebook, or textbook questions any time.

1. Find the value of ∫ sin²x dx.
2. Differentiate y = x³ + log x.
3. Find the value of lim(x→0) (1 − cos x)/x².
4. Find the equation of the circle with centre (2, −3) and radius 5.
5. Find the eccentricity of the ellipse 9x² + 16y² = 144.
6. If a⃗ = 2i + j − k and b⃗ = i + 3j − 2k, find a⃗·b⃗.
7. Find the value of: tan 75°.
8. Find the determinant of [[1, 2, 3], [4, 5, 6], [7, 8, 9]].
9. Find the value of ⁹C₃.
10. Solve: cos⁻¹ (1/2) + sin⁻¹ (1/2).
11. Solve the differential equation: dy/dx = e^x + 2x.
12. Find the foot of the perpendicular from (2, 3) on the line 3x + 4y − 5 = 0.
13. Find the value of ∫₀¹ x e^x dx.
14. Find the slope of the tangent to y = x² − 4x at x = 3.
15. The probability of getting at least one head when 2 coins are tossed is?

Related search topics

calculusvectorscoordinate geometryprobabilitymatrices

This page is built for students looking for eamcet engineering maths practice test, chapter practice, and quick school exam revision.

Why this practice page is useful

EAMCET Maths carries 80 of 160 marks for engineering aspirants — this drill targets that scoring section.

Speed-focused: EAMCET allows ~1 minute per question, so practice with mixed types builds pace.

Replace the starter with previous-year EAMCET questions to generate a fresh chapter-specific mock.

Answer key & quick explanations

Short answers for the sample questions above. Use this to self-check before generating a fresh AI-built mock test.

  1. ∫sin²x dx: Use sin²x = (1 − cos2x)/2 → x/2 − sin2x/4 + C.
  2. d/dx (x³ + logx): 3x² + 1/x.
  3. lim(x→0) (1−cosx)/x²: = 1/2.
  4. Circle equation: (x − 2)² + (y + 3)² = 25.
  5. Ellipse eccentricity: a² = 16, b² = 9 → e = √(1 − 9/16) = √7/4.
  6. a⃗·b⃗: 2 + 3 + 2 = 7.
  7. tan75°: tan(45° + 30°) = (1 + 1/√3)/(1 − 1/√3) = 2 + √3.
  8. 3×3 determinant: Rows are linearly dependent (R3 = 2R2 − R1) → 0.
  9. ⁹C₃: 9!/(3!6!) = 84.
  10. cos⁻¹(1/2) + sin⁻¹(1/2): π/3 + π/6 = π/2.
  11. dy/dx = e^x + 2x: y = e^x + x² + C.
  12. Foot of perpendicular: Solve perpendicular through (2,3) intersecting given line → (−0.04, 1.28) approx (use formula).
  13. ∫₀¹ xe^x dx: By parts → [xe^x − e^x]₀¹ = (e − e) − (0 − 1) = 1.
  14. Slope of tangent: dy/dx = 2x − 4 = 2 at x=3.
  15. P(at least one head): 1 − P(no head) = 1 − 1/4 = 3/4.

EAMCET Engineering Math units covered

Typical EAMCET Engineering syllabus units this practice test draws from. Paste questions from any unit below to generate a focused mock test.

  • Functions, Limits and Continuity
  • Differentiation and Applications of Derivatives
  • Indefinite and Definite Integrals
  • Differential Equations
  • Matrices and Determinants
  • Permutations, Combinations and Binomial Theorem
  • Mathematical Induction
  • Trigonometric Ratios and Equations
  • Inverse Trigonometric Functions
  • Properties of Triangles
  • Vector Algebra and 3D Geometry
  • Coordinate Geometry (Lines, Circles, Conics)
  • Probability and Random Variables
  • Statistics

How to use this eamcet engineering maths practice test page

1. Open the ready-made starter and generate the test.

2. Review the output as a quick EAMCET Engineering math mock test.

3. Replace the starter with your own previous-year exam questions for more accurate revision.

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