TMUA Study Guide 2026
Everything you need to pass the TMUA exam in one place: the exam format, every topic to study, real practice questions with explanations, flashcards, and full-length practice tests. Free, no sign-up needed.
📋 TMUA Exam Format at a Glance
📚 TMUA Topics to Study (71)
✍️ Sample TMUA Questions & Answers
1. In a proof by contradiction that √3 is irrational, after assuming √3 = p/q in lowest terms and squaring, one deduces 3q² = p². This implies:
3 | p² implies 3 | p (since 3 is prime), so p = 3k for some integer k.
2. When conducting a risk assessment for TMUA operations, which factor should receive the HIGHEST priority?
The probability and severity of potential harm are the primary factors in risk assessment. While cost and convenience are considerations, they should never override the assessment of how likely an incident is and how severe its consequences could be.
3. What is the relationship between a percentage and its decimal equivalent?
A percentage is converted to its decimal equivalent by dividing by 100. For example, 75% becomes 0.75.
4. A uniform beam of length 4 m and weight 200 N is supported at both ends. A 100 N load is placed 1 m from the left end. What is the reaction at the left support?
Taking moments about the right support: R_L × 4 = 200 × 2 + 100 × 3 = 700, so R_L = 175 N.
5. What is the relationship between a percentage and its decimal equivalent?
A percentage is converted to its decimal equivalent by dividing by 100. For example, 75% becomes 0.75.
6. In TMUA test preparation, what is the best approach to estimation problems?
Rounding to manageable numbers allows quick approximate calculations that can verify reasonableness of answers or eliminate incorrect choices.