NCCER Module 00102-15 - Introduction to Construction Math Exam
NCCER Introduction to Construction Math
Module 00102-15 Exam Questions and Answers
Verified Answers | Edition
Total Questions: 70 Format: Multiple Choice (A-D)
Time Limit: 120 Minutes Passing Score: 70%
Section 1: Mathematical Fundamentals and Number Operations (Q1-Q25)
Q1: In the number 47,283, what is the exact value represented by the digit 7?
A. 7
B. 70
C. 700
D. 7,000 **[CORRECT]**
Correct Answer: D
Rationale: In the whole number 47,283, the digit 7 is in the thousands place, four positions left of the decimal point. Place value is
determined by position: 7 x 1,000 = 7,000. Option A shows only the face value, Option B confuses the tens place, and Option C
confuses the hundreds place. Per NCCER Module 00102-15, place value identification is a foundational skill for all construction
measurement tasks.
Q2: A construction worker measures a board at 6.375 inches. What is the value of the digit 3 in this decimal?
A. 3 tenths **[CORRECT]**
B. 3 hundredths
C. 3 thousandths
D. 30 tenths
Correct Answer: A
Rationale: In the decimal 6.375, the digit 3 is one position right of the decimal point, the tenths place, so its value is 3 tenths (0.3). Per
NCCER Module 00102-15, the first position right of the decimal is tenths, the second is hundredths, and the third is thousandths.
Option B confuses hundredths, Option C confuses thousandths, and Option D incorrectly multiplies by 10.
Q3: What is the sum of 4,567 and 2,839?
A. 7,306
B. 7,406 **[CORRECT]**
C. 7,316
D. 6,406
Correct Answer: B
Rationale: Adding 4,567 + 2,839 by aligning place values: 7+9=16 (write 6, carry 1); 6+3+1=10 (write 0, carry 1); 5+8+1=14
(write 4, carry 1); 4+2+1=7. The sum is 7,406. The sum is the result of addition per NCCER terminology. Option A drops the final
carry, Option C has a hundreds column error, and Option D reflects misaligned columns.
Q4: A contractor needs to subtract 1,847 from 5,230. What is the difference?
A. 3,483
NCCER Construction Math Exam 2026/2027 Page 1
,NCCER Module 00102-15 - Introduction to Construction Math Exam
B. 3,383 **[CORRECT]**
C. 2,383
D. 3,373
Correct Answer: B
Rationale: Subtracting 5,230 - 1,847 requires borrowing: 0-7 borrows (10-7=3); 2-4 borrows (12-4=8); 1-8 borrows (11-8=3);
4-1=3. The difference is 3,383. The difference is the result of subtraction per NCCER. Option A reflects an addition error, Option C
has a hundreds borrowing mistake, and Option D has a tens column miscalculation. Accurate subtraction is essential for material
quantity takeoffs.
Q5: A crew of 12 workers each needs 35 framing nails. How many total nails are needed?
A. 370
B. 410
C. 420 **[CORRECT]**
D. 450
Correct Answer: C
Rationale: Multiplying 12 x 35: 12 x 30 = 360 and 12 x 5 = 60, so 360 + 60 = 420. The product is the answer to multiplication per
NCCER Module 00102-15. Option A results from rounding 35 to 30, Option B from a partial product error, and Option D from an
addition mistake. This multiplication for distributing parts across job sites is a core applied skill in the NCCER curriculum.
Q6: In the division problem 486 divided by 9, what term describes the number 486?
A. Divisor
B. Quotient
C. Dividend **[CORRECT]**
D. Remainder
Correct Answer: C
Rationale: In division, the dividend is the number being divided, the divisor divides into it, the quotient is the result, and the remainder
is the amount left over. In 486 divided by 9, 486 is the dividend, 9 is the divisor, and the quotient is 54. Per NCCER Module
00102-15, understanding division terminology is essential for solving construction material distribution problems. Option A confuses
divisor, B confuses the result term, and D confuses the leftover.
Q7: When dividing 127 by 8, what is the remainder?
A. 5
B. 6
C. 7 **[CORRECT]**
D. 15
Correct Answer: C
Rationale: Dividing 127 by 8: 8 goes into 12 once (8), remainder 4; bring down 7 to make 47; 8 goes into 47 five times (40),
remainder 7. The quotient is 15 with remainder 7. Option A miscalculates, Option B makes a subtraction error (47-40=7 not 6), and
Option D is the quotient. NCCER Module 00102-15 emphasizes distinguishing quotient from remainder for cutting materials into
equal sections.
Q8: Convert the improper fraction 17/5 to a mixed number.
A. 3 and 1/5
B. 3 and 2/5 **[CORRECT]**
C. 3 and 3/5
D. 2 and 7/5
NCCER Construction Math Exam 2026/2027 Page 2
, NCCER Module 00102-15 - Introduction to Construction Math Exam
Correct Answer: B
Rationale: Divide the numerator by the denominator: = 3 with remainder 2 (3 x 5 = 15, 17 - 15 = 2). The mixed number is 3
and 2/5. Option A uses an incorrect remainder, Option C has a subtraction error, and Option D is invalid because the fractional part
exceeds 1. NCCER construction math frequently uses mixed numbers for measurements like 6-1/6 inches on building plans.
Q9: What is 3/8 + 1/4 expressed in lowest terms?
A. 4/12
B. 1/2
C. 5/8 **[CORRECT]**
D. 2/6
Correct Answer: C
Rationale: Find the LCD of 8 and 4, which is 8. Convert 1/4 to 2/8, then add: 3/8 + 2/8 = 5/8. Since 5 and 8 share no common
factors, 5/8 is in lowest terms. Option A incorrectly adds numerators and denominators, Option B is the sum of 1/4 + 1/4, and Option
D reflects another common denominator error. NCCER Module 00102-15 stresses finding the LCD before adding or subtracting
fractions with unlike denominators.
Q10: A carpenter needs to subtract 5/16 from 7/8. What is the result in lowest terms?
A. 9/16 **[CORRECT]**
B. 2/8
C. 1/2
D. 11/16
Correct Answer: A
Rationale: LCD of 16 and 8 is 16. Convert 7/8 to 14/16. Then 14/16 - 5/16 = 9/16. Since 9 and 16 share no common factors, 9/16 is
in lowest terms. Option B fails to find a common denominator, Option C is an incorrect simplification, and Option D adds instead of
subtracts. NCCER construction math uses fraction subtraction for precise material measurements on the jobsite.
Q11: Multiply 2/3 by 4/5. What is the product in lowest terms?
A. 6/15
B. 8/15 **[CORRECT]**
C. 6/8
D. 8/12
Correct Answer: B
Rationale: Multiply numerators and denominators: (2 x 4)/(3 x 5) = 8/15. Since 8 and 15 share no common factors, 8/15 is in lowest
terms. Option A shows 2/3 x 3/5, Option C adds denominators, and Option D reflects a cross-multiplication error. NCCER Module
00102-15 teaches that multiplying fractions does not require a common denominator, unlike addition and subtraction.
Q12: Divide 3/4 by 2/3. What is the quotient?
A. 6/8
B. 1 and 1/8 **[CORRECT]**
C. 1 and 1/4
D. 9/12
Correct Answer: B
Rationale: To divide fractions, multiply by the reciprocal: 3/4 x 3/2 = 9/8. Convert to mixed: 9/8 = 1 and 1/8. Option A fails to invert
and simply multiplies, Option C has an arithmetic error, and Option D is unreduced without conversion. NCCER Module 00102-15
emphasizes that division of fractions requires inverting the second fraction before multiplying.
NCCER Construction Math Exam 2026/2027 Page 3
NCCER Introduction to Construction Math
Module 00102-15 Exam Questions and Answers
Verified Answers | Edition
Total Questions: 70 Format: Multiple Choice (A-D)
Time Limit: 120 Minutes Passing Score: 70%
Section 1: Mathematical Fundamentals and Number Operations (Q1-Q25)
Q1: In the number 47,283, what is the exact value represented by the digit 7?
A. 7
B. 70
C. 700
D. 7,000 **[CORRECT]**
Correct Answer: D
Rationale: In the whole number 47,283, the digit 7 is in the thousands place, four positions left of the decimal point. Place value is
determined by position: 7 x 1,000 = 7,000. Option A shows only the face value, Option B confuses the tens place, and Option C
confuses the hundreds place. Per NCCER Module 00102-15, place value identification is a foundational skill for all construction
measurement tasks.
Q2: A construction worker measures a board at 6.375 inches. What is the value of the digit 3 in this decimal?
A. 3 tenths **[CORRECT]**
B. 3 hundredths
C. 3 thousandths
D. 30 tenths
Correct Answer: A
Rationale: In the decimal 6.375, the digit 3 is one position right of the decimal point, the tenths place, so its value is 3 tenths (0.3). Per
NCCER Module 00102-15, the first position right of the decimal is tenths, the second is hundredths, and the third is thousandths.
Option B confuses hundredths, Option C confuses thousandths, and Option D incorrectly multiplies by 10.
Q3: What is the sum of 4,567 and 2,839?
A. 7,306
B. 7,406 **[CORRECT]**
C. 7,316
D. 6,406
Correct Answer: B
Rationale: Adding 4,567 + 2,839 by aligning place values: 7+9=16 (write 6, carry 1); 6+3+1=10 (write 0, carry 1); 5+8+1=14
(write 4, carry 1); 4+2+1=7. The sum is 7,406. The sum is the result of addition per NCCER terminology. Option A drops the final
carry, Option C has a hundreds column error, and Option D reflects misaligned columns.
Q4: A contractor needs to subtract 1,847 from 5,230. What is the difference?
A. 3,483
NCCER Construction Math Exam 2026/2027 Page 1
,NCCER Module 00102-15 - Introduction to Construction Math Exam
B. 3,383 **[CORRECT]**
C. 2,383
D. 3,373
Correct Answer: B
Rationale: Subtracting 5,230 - 1,847 requires borrowing: 0-7 borrows (10-7=3); 2-4 borrows (12-4=8); 1-8 borrows (11-8=3);
4-1=3. The difference is 3,383. The difference is the result of subtraction per NCCER. Option A reflects an addition error, Option C
has a hundreds borrowing mistake, and Option D has a tens column miscalculation. Accurate subtraction is essential for material
quantity takeoffs.
Q5: A crew of 12 workers each needs 35 framing nails. How many total nails are needed?
A. 370
B. 410
C. 420 **[CORRECT]**
D. 450
Correct Answer: C
Rationale: Multiplying 12 x 35: 12 x 30 = 360 and 12 x 5 = 60, so 360 + 60 = 420. The product is the answer to multiplication per
NCCER Module 00102-15. Option A results from rounding 35 to 30, Option B from a partial product error, and Option D from an
addition mistake. This multiplication for distributing parts across job sites is a core applied skill in the NCCER curriculum.
Q6: In the division problem 486 divided by 9, what term describes the number 486?
A. Divisor
B. Quotient
C. Dividend **[CORRECT]**
D. Remainder
Correct Answer: C
Rationale: In division, the dividend is the number being divided, the divisor divides into it, the quotient is the result, and the remainder
is the amount left over. In 486 divided by 9, 486 is the dividend, 9 is the divisor, and the quotient is 54. Per NCCER Module
00102-15, understanding division terminology is essential for solving construction material distribution problems. Option A confuses
divisor, B confuses the result term, and D confuses the leftover.
Q7: When dividing 127 by 8, what is the remainder?
A. 5
B. 6
C. 7 **[CORRECT]**
D. 15
Correct Answer: C
Rationale: Dividing 127 by 8: 8 goes into 12 once (8), remainder 4; bring down 7 to make 47; 8 goes into 47 five times (40),
remainder 7. The quotient is 15 with remainder 7. Option A miscalculates, Option B makes a subtraction error (47-40=7 not 6), and
Option D is the quotient. NCCER Module 00102-15 emphasizes distinguishing quotient from remainder for cutting materials into
equal sections.
Q8: Convert the improper fraction 17/5 to a mixed number.
A. 3 and 1/5
B. 3 and 2/5 **[CORRECT]**
C. 3 and 3/5
D. 2 and 7/5
NCCER Construction Math Exam 2026/2027 Page 2
, NCCER Module 00102-15 - Introduction to Construction Math Exam
Correct Answer: B
Rationale: Divide the numerator by the denominator: = 3 with remainder 2 (3 x 5 = 15, 17 - 15 = 2). The mixed number is 3
and 2/5. Option A uses an incorrect remainder, Option C has a subtraction error, and Option D is invalid because the fractional part
exceeds 1. NCCER construction math frequently uses mixed numbers for measurements like 6-1/6 inches on building plans.
Q9: What is 3/8 + 1/4 expressed in lowest terms?
A. 4/12
B. 1/2
C. 5/8 **[CORRECT]**
D. 2/6
Correct Answer: C
Rationale: Find the LCD of 8 and 4, which is 8. Convert 1/4 to 2/8, then add: 3/8 + 2/8 = 5/8. Since 5 and 8 share no common
factors, 5/8 is in lowest terms. Option A incorrectly adds numerators and denominators, Option B is the sum of 1/4 + 1/4, and Option
D reflects another common denominator error. NCCER Module 00102-15 stresses finding the LCD before adding or subtracting
fractions with unlike denominators.
Q10: A carpenter needs to subtract 5/16 from 7/8. What is the result in lowest terms?
A. 9/16 **[CORRECT]**
B. 2/8
C. 1/2
D. 11/16
Correct Answer: A
Rationale: LCD of 16 and 8 is 16. Convert 7/8 to 14/16. Then 14/16 - 5/16 = 9/16. Since 9 and 16 share no common factors, 9/16 is
in lowest terms. Option B fails to find a common denominator, Option C is an incorrect simplification, and Option D adds instead of
subtracts. NCCER construction math uses fraction subtraction for precise material measurements on the jobsite.
Q11: Multiply 2/3 by 4/5. What is the product in lowest terms?
A. 6/15
B. 8/15 **[CORRECT]**
C. 6/8
D. 8/12
Correct Answer: B
Rationale: Multiply numerators and denominators: (2 x 4)/(3 x 5) = 8/15. Since 8 and 15 share no common factors, 8/15 is in lowest
terms. Option A shows 2/3 x 3/5, Option C adds denominators, and Option D reflects a cross-multiplication error. NCCER Module
00102-15 teaches that multiplying fractions does not require a common denominator, unlike addition and subtraction.
Q12: Divide 3/4 by 2/3. What is the quotient?
A. 6/8
B. 1 and 1/8 **[CORRECT]**
C. 1 and 1/4
D. 9/12
Correct Answer: B
Rationale: To divide fractions, multiply by the reciprocal: 3/4 x 3/2 = 9/8. Convert to mixed: 9/8 = 1 and 1/8. Option A fails to invert
and simply multiplies, Option C has an arithmetic error, and Option D is unreduced without conversion. NCCER Module 00102-15
emphasizes that division of fractions requires inverting the second fraction before multiplying.
NCCER Construction Math Exam 2026/2027 Page 3
