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100+ Free BTEB Polytechnic Admission Practice Questions

Prepare for the Bangladesh Government Polytechnic Diploma Admission Test (পলিটেকনিক ভর্তি পরীক্ষা) exam with instant access — no signup required.

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Master the BTEB Government Polytechnic Diploma Admission Test with 100 comprehensive practice questions covering SSC mathematics, physics, chemistry, Bangla grammar, English, and analytical aptitude. Final merit is determined from 70 admission test marks and 30 SSC GPA marks. This bank is an English-language MCQ study adaptation of the Bangla-medium official test.

Sample BTEB Polytechnic Admission Practice Questions

Try these sample questions to test your BTEB Polytechnic Admission exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If 3x + 5 = 20, what is the value of 6x - 4?
A.26
B.30
C.24
D.36
Explanation: From 3x + 5 = 20, subtracting 5 gives 3x = 15, so x = 5. Substituting x = 5 into 6x - 4 gives 6(5) - 4 = 30 - 4 = 26.
2What are the roots of the quadratic equation x^2 - 9x + 20 = 0?
A.x = 4 and x = 5
B.x = -4 and x = -5
C.x = 2 and x = 10
D.x = -2 and x = -10
Explanation: Factoring the quadratic equation gives (x - 4)(x - 5) = 0, which yields roots x = 4 and x = 5. Check: the roots sum to 9 (matching the negative of the middle coefficient) and multiply to 20 (the constant term).
3What is the simplified value of (2^4 * 2^3) / 2^5?
A.4
B.2
C.8
D.16
Explanation: Using exponent rules, the numerator is 2^(4 + 3) = 2^7. Dividing by 2^5 gives 2^(7 - 5) = 2^2 = 4.
4If log10(x) = 3, what is the value of x?
A.1000
B.30
C.100
D.300
Explanation: By definition of logarithms, log_b(a) = c is equivalent to b^c = a. Thus log10(x) = 3 implies x = 10^3 = 1000.
5In an Arithmetic Progression (AP), the first term is a = 5 and the common difference is d = 3. What is the 12th term?
A.38
B.41
C.35
D.44
Explanation: The nth term of an AP is given by T_n = a + (n - 1)d. For n = 12, T_12 = 5 + (12 - 1) * 3 = 5 + 11 * 3 = 5 + 33 = 38.
6What is the sum of the first 6 terms of the Geometric Progression (GP) 2, 6, 18, 54, ...?
A.728
B.486
C.1458
D.242
Explanation: In this GP, first term a = 2 and common ratio r = 6/2 = 3. The sum of n terms of a GP where r > 1 is S_n = a(r^n - 1) / (r - 1). For n = 6: S_6 = 2(3^6 - 1) / (3 - 1) = 2(729 - 1) / 2 = 728.
7If a + b = 7 and ab = 10, what is the value of a^2 + b^2?
A.29
B.39
C.49
D.19
Explanation: Using the algebraic identity a^2 + b^2 = (a + b)^2 - 2ab: a^2 + b^2 = (7)^2 - 2(10) = 49 - 20 = 29.
8If 12 workers can complete a civil construction trench in 8 days, how many days will it take 16 workers working at the same rate to complete the same trench?
A.6 days
B.10 days
C.4 days
D.8 days
Explanation: Total work is represented in worker-days: Work = 12 workers * 8 days = 96 worker-days. With 16 workers, Time = 96 / 16 = 6 days.
9An item is purchased for 800 BDT and sold for 1,000 BDT. What is the profit percentage?
A.25%
B.20%
C.15%
D.30%
Explanation: Profit = Selling Price - Cost Price = 1,000 - 800 = 200 BDT. Profit percentage = (Profit / Cost Price) * 100% = (200 / 800) * 100% = 0.25 * 100% = 25%.
10Solve the system of equations: x + y = 14 and x - y = 4. What is the value of x and y?
A.x = 9, y = 5
B.x = 10, y = 4
C.x = 8, y = 6
D.x = 11, y = 3
Explanation: Adding the two equations: (x + y) + (x - y) = 14 + 4 => 2x = 18 => x = 9. Substituting x = 9 into the first equation: 9 + y = 14 => y = 5.

About the BTEB Polytechnic Admission Exam

The Government Polytechnic Diploma Admission Test is a centralized entrance examination administered by the Bangladesh Technical Education Board (BTEB) for admission into 4-year Diploma in Engineering, Marine Engineering, Textile Engineering, Agriculture, Forestry, Fisheries, and Tourism programs across ~50 government polytechnic institutes in Bangladesh. Reintroduced from the 2025-26 session (after admission-test-free years since 2013) and administered in Bangla, it tests SSC-level Mathematics, Physics, Chemistry, Bangla, English, and Analytical Aptitude. The practice questions on this page are an English-language MCQ study adaptation - not an official translation or a simulation of the Bangla-medium exam.

Questions

70 scored questions

Time Limit

60 minutes

Passing Score

Merit-based

Exam Fee

160 BDT application fee per shift (+2 BDT gateway charge) + 500 BDT one-time admission test fee (Bangladesh Technical Education Board (BTEB), Agargaon, Dhaka)

BTEB Polytechnic Admission Exam Content Outline

28.6%

Mathematics

Algebra (linear and quadratic equations, exponents, logarithms, sequences/series, ratios), Geometry (circles, triangles, mensuration of 2D/3D shapes), Trigonometry (ratios, identities, heights and distances), and Coordinate Geometry & Statistics.

28.6%

Physics & Chemistry

Physics (mechanics, equations of motion, work-energy-power, heat, waves, optics, Ohm's law and electrical circuits) and Chemistry (atomic structure, periodic table trends, chemical reactions, stoichiometry, acids-bases-salts, and hydrocarbons).

14.3%

Bangla Language & Grammar

Bangla second paper grammar fundamentals including Sandhi (সন্ধি), Samas (সমাস), Karak and Bibhakti (কারক ও বিভক্তি), Natwa and Satwa Bidhan (ণত্ব ও ষত্ব বিধান), Dhatu/Prottoy, Bagdhara (বাগধারা), and prominent Bangla literary works.

14.3%

English Language & Grammar

English grammar rules covering tenses, subject-verb agreement, active/passive voice, narration, conditionals, appropriate prepositions, vocabulary (synonyms/antonyms), and error identification.

14.3%

Analytical & Logical Aptitude

Problem-solving, logical deduction, arithmetic reasoning, numerical and alphabetical series completion, spatial orientation, pattern recognition, and clock/direction reasoning.

How to Pass the BTEB Polytechnic Admission Exam

What You Need to Know

  • Passing score: Merit-based
  • Exam length: 70 questions
  • Time limit: 60 minutes
  • Exam fee: 160 BDT application fee per shift (+2 BDT gateway charge) + 500 BDT one-time admission test fee

Keys to Passing

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

BTEB Polytechnic Admission Study Tips from Top Performers

1Focus heavily on Mathematics (20 marks) and Science (20 marks): Together they account for over 57% of the admission test score. Practice standard SSC textbook problem sets thoroughly.
2Practice fast arithmetic and algebra calculations: With 70 questions in 60 minutes, you have less than 52 seconds per question. Learn shortcuts for quadratic roots, trigonometry values, and physics formulas.
3Review essential Bangla grammar rules: Memorize rules for Sandhi split, Samas classification, Karak-Bibhakti cases, and Natwa-Satwa Bidhan to score quickly in the 10-mark Bangla section.
4Master high-frequency English prepositions and grammar patterns: Focus on subject-verb agreement, conditional clauses (1st, 2nd, 3rd conditionals), and appropriate prepositions (e.g., depend on, abide by, prevent from).
5Sharpen logical reasoning with timed number and alphabet series: Regular practice with pattern recognition and spatial puzzles will help you secure full marks in the 10-mark Aptitude section.

Frequently Asked Questions

What is the BTEB Government Polytechnic Diploma Admission Test?

It is a central competitive entrance examination introduced by the Bangladesh Technical Education Board (BTEB) starting from the 2025–26 academic session for admission into 4-year Diploma in Engineering and related diploma programs at ~50 government polytechnic institutes across Bangladesh.

How is the final merit list calculated for polytechnic admission?

The merit ranking is calculated out of 100 total marks: 70 marks come from the 60-minute centralized MCQ admission test, and 30 marks are calculated from the candidate's SSC or equivalent GPA.

What subjects are included in the 70-mark admission test?

The 70-mark MCQ test covers Mathematics (20 marks), Physics & Chemistry combined (20 marks, 10 each), Bangla (10 marks), English (10 marks), and Analytical Aptitude (10 marks).

Who is eligible to apply for government polytechnic admission?

Candidates who passed the SSC, Dakhil, SSC (Vocational), or equivalent examination within the passing-year window set by the current circular (2022 to 2026 for the 2026-27 session) qualify if they hold a minimum overall GPA 3.00 plus GPA 2.00 in General or Higher Mathematics. Diploma-in-Marine Engineering additionally requires the Science group with GPA 3.50 (including Math, Physics, and Chemistry) and age/physical standards. O-Level candidates must obtain an equivalence certificate from the Dhaka Education Board.

Does private polytechnic admission require this entrance exam?

No. Non-government (private) polytechnic institutes continue to admit students based purely on SSC GPA without an admission test. The competitive entrance test applies specifically to government polytechnic institutes.