ACCUPLACER ARITHMETIC EXAM
2026/2027 – ADVANCED EDUCATION
COMPREHENSIVE ASSESSMENT
QUESTIONS AND CORRECT ANSWERS
(VERIFIED ANSWERS) PLUS RATIONALES
| INSTANT DOWNLOAD PDF
Core Domains
• Operations with Whole Numbers
• Fractions and Mixed Numbers
• Decimals and Place Value
• Percents, Ratios, and Proportions
• Word Problems and Applications
• Basic Geometry and Measurement
• Order of Operations and Estimation
• Data Interpretation and Basic Statistics
Introduction
This comprehensive arithmetic assessment is designed to evaluate
fundamental mathematical skills required for college-level coursework.
The exam measures proficiency in operations with whole numbers,
fractions, decimals, percents, ratios, proportions, and basic geometry.
Questions emphasize real-world problem-solving, critical thinking, and
accurate computation without a calculator. The multiple-choice format
assesses both procedural fluency and conceptual understanding, ensuring
readiness for advanced mathematics. This assessment aligns with
Accuplacer Arithmetic standards and prepares students for academic
success in developmental and college-level mathematics courses.
,SECTION ONE: QUESTIONS 1–50
1. What is the sum of 4,568 and 2,937?
A. 7,405
B. 7,505
C. 6,505
D. 7,495
Correct answer: B
RATIONALE: 4,568 + 2,937 = 7,505. Add the ones: 8+7=15, write 5
carry 1. Tens: 6+3+1=10, write 0 carry 1. Hundreds: 5+9+1=15, write 5
carry 1. Thousands: 4+2+1=7. Result is 7,505.
2. Subtract: 8,003 – 4,276
A. 3,727
B. 3,827
C. 4,727
D. 3,737
Correct answer: A
RATIONALE: 8,003 – 4,276 = 3,727. Borrowing is required. 3–6
requires borrowing from the tens, which requires borrowing from the
hundreds, which requires borrowing from the thousands. The result is
3,727.
3. Multiply: 47 × 23
A. 1,081
B. 1,081
C. 1,081
D. 1,081
, Correct answer: A
RATIONALE: 47 × 23 = (47 × 20) + (47 × 3) = 940 + 141 = 1,081.
4. Divide: 1,248 ÷ 24
A. 52
B. 54
C. 56
D. 58
Correct answer: A
RATIONALE: 1,248 ÷ 24 = 52. 24 × 50 = 1,200; 1,248 – 1,200 = 48; 24
× 2 = 48. So 50 + 2 = 52.
5. Simplify: 3/4 + 1/6
A. 4/10
B. 11/12
C. 7/12
D. 5/6
Correct answer: B
RATIONALE: Find a common denominator: 12. 3/4 = 9/12; 1/6 = 2/12;
9/12 + 2/12 = 11/12.
6. Subtract: 5/8 – 1/4
A. 1/2
B. 3/8
C. 1/4
D. 5/8
Correct answer: B
RATIONALE: 1/4 = 2/8. 5/8 – 2/8 = 3/8.
2026/2027 – ADVANCED EDUCATION
COMPREHENSIVE ASSESSMENT
QUESTIONS AND CORRECT ANSWERS
(VERIFIED ANSWERS) PLUS RATIONALES
| INSTANT DOWNLOAD PDF
Core Domains
• Operations with Whole Numbers
• Fractions and Mixed Numbers
• Decimals and Place Value
• Percents, Ratios, and Proportions
• Word Problems and Applications
• Basic Geometry and Measurement
• Order of Operations and Estimation
• Data Interpretation and Basic Statistics
Introduction
This comprehensive arithmetic assessment is designed to evaluate
fundamental mathematical skills required for college-level coursework.
The exam measures proficiency in operations with whole numbers,
fractions, decimals, percents, ratios, proportions, and basic geometry.
Questions emphasize real-world problem-solving, critical thinking, and
accurate computation without a calculator. The multiple-choice format
assesses both procedural fluency and conceptual understanding, ensuring
readiness for advanced mathematics. This assessment aligns with
Accuplacer Arithmetic standards and prepares students for academic
success in developmental and college-level mathematics courses.
,SECTION ONE: QUESTIONS 1–50
1. What is the sum of 4,568 and 2,937?
A. 7,405
B. 7,505
C. 6,505
D. 7,495
Correct answer: B
RATIONALE: 4,568 + 2,937 = 7,505. Add the ones: 8+7=15, write 5
carry 1. Tens: 6+3+1=10, write 0 carry 1. Hundreds: 5+9+1=15, write 5
carry 1. Thousands: 4+2+1=7. Result is 7,505.
2. Subtract: 8,003 – 4,276
A. 3,727
B. 3,827
C. 4,727
D. 3,737
Correct answer: A
RATIONALE: 8,003 – 4,276 = 3,727. Borrowing is required. 3–6
requires borrowing from the tens, which requires borrowing from the
hundreds, which requires borrowing from the thousands. The result is
3,727.
3. Multiply: 47 × 23
A. 1,081
B. 1,081
C. 1,081
D. 1,081
, Correct answer: A
RATIONALE: 47 × 23 = (47 × 20) + (47 × 3) = 940 + 141 = 1,081.
4. Divide: 1,248 ÷ 24
A. 52
B. 54
C. 56
D. 58
Correct answer: A
RATIONALE: 1,248 ÷ 24 = 52. 24 × 50 = 1,200; 1,248 – 1,200 = 48; 24
× 2 = 48. So 50 + 2 = 52.
5. Simplify: 3/4 + 1/6
A. 4/10
B. 11/12
C. 7/12
D. 5/6
Correct answer: B
RATIONALE: Find a common denominator: 12. 3/4 = 9/12; 1/6 = 2/12;
9/12 + 2/12 = 11/12.
6. Subtract: 5/8 – 1/4
A. 1/2
B. 3/8
C. 1/4
D. 5/8
Correct answer: B
RATIONALE: 1/4 = 2/8. 5/8 – 2/8 = 3/8.
