UCVTS Admissions Exam – Union County Vocational Technical Schools Admissions Assessment – 2026/2027 Edition – Verified Questions and Answers

UCVTS ADMISSIONS EXAM | 2026/2027 Edition | Real
Exam Questions with 100% Verified Correct Answers
Union County Vocational Technical Schools Admissions Assessment | Expert-Verified Q&A | Certification-Ready
Format




Introduction
This document presents the UCVTS Admissions actual exam focusing on the critical integration of middle school
mathematics, English language arts, reading comprehension, and logical reasoning required to demonstrate
academic readiness and secure acceptance into specialized vocational and technical high school programs. All 50
questions are expert-verified with 100% correct answers, designed for accurate evaluation and pass-level
readiness in accordance with 2026/2027 Union County Vocational Technical Schools admissions standards.

Content Area Overview

Content Area Questions Key Topics Weight
Mathematics & 13 Algebra basics, fractions, 25%
Quantitative Reasoning decimals, geometry, word
problems
English Language Arts & 12 Parts of speech, 25%
Grammar punctuation, sentence
structure, verb tense
Reading Comprehension 13 Main idea, inference, 25%
& Vocabulary context clues, vocabulary
in context
Logical Reasoning & 12 Patterns, analogies, 25%
Problem Solving sequences, deductive
reasoning
Total 50 100%


Examination Questions

Domain: Mathematics & Quantitative Reasoning

1. What is the value of 3/4 + 5/8?
A. 1 3/8
B. 1 1/8
C. 8/12
D. 1 1/4
Correct Answer: A
Rationale: Convert 3/4 to 6/8, then add 6/8 + 5/8 = 11/8 = 1 3/8.
Why Wrong: B is 9/8. C uses incorrect common denominator. D is 10/8.
Reference: 2026 UCVTS Admissions Blueprint, Domain 1 - Mathematics & Quantitative Reasoning, Middle
School Math Standards.

2. Solve for x: 2x + 7 = 19
A. 5
B. 6
C. 13
D. 26
Correct Answer: B

, Rationale: Subtract 7 from both sides: 2x = 12, then divide by 2: x = 6.
Why Wrong: A is 2x = 12 without dividing. C adds instead of subtracts. D multiplies instead of divides.
Reference: 2026 UCVTS Admissions Blueprint, Domain 1 - Mathematics & Quantitative Reasoning, Middle
School Math Standards.

3. What is the area of a rectangle with length 9 cm and width 4 cm?
A. 13 cm²
B. 26 cm²
C. 36 cm²
D. 72 cm²
Correct Answer: C
Rationale: Area = length × width = 9 × 4 = 36 cm².
Why Wrong: A adds the sides. B is the perimeter. D doubles the correct answer.
Reference: 2026 UCVTS Admissions Blueprint, Domain 1 - Mathematics & Quantitative Reasoning, Middle
School Math Standards.

4. Simplify: 4(2x - 3) + 5
A. 8x - 7
B. 8x - 12
C. 8x + 7
D. 8x - 17
Correct Answer: A
Rationale: Distribute 4: 8x - 12, then add 5: 8x - 7.
Why Wrong: B forgets to add the +5. C adds instead of subtracts. D subtracts 5 instead of adding.
Reference: 2026 UCVTS Admissions Blueprint, Domain 1 - Mathematics & Quantitative Reasoning, Middle
School Math Standards.

5. What is 15% of 80?
A. 8
B. 12
C. 15
D. 65
Correct Answer: B
Rationale: 15% of 80 = 0.15 × 80 = 12.
Why Wrong: A is 10% of 80. C is the percent value. D subtracts the percent from 80.
Reference: 2026 UCVTS Admissions Blueprint, Domain 1 - Mathematics & Quantitative Reasoning, Middle
School Math Standards.

6. Convert 0.375 to a fraction in simplest form.
A. 3/8
B. 375/1000
C. 3/4
D. 375/100
Correct Answer: A
Rationale: 0.375 = 375/1000. Divide numerator and denominator by 125: 3/8.
Why Wrong: B is not simplified. C is 0.75. D is not simplified.
Reference: 2026 UCVTS Admissions Blueprint, Domain 1 - Mathematics & Quantitative Reasoning, Middle
School Math Standards.

7. What is the next number in the sequence: 2, 6, 18, 54, ?
A. 108
B. 162