NLN NEX MATH V2 Actual Exam
2026/2027 Complete Questions and
Verified Answers with Detailed Rationales
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A+ Graded
SECTION 1: BASIC ARITHMETIC
Q1: Simplify: 15 + 6 × 2 - 4 ÷ 2
A. 19
B. 25 [CORRECT]
C. 27
D. 31
Correct Answer: B
Rationale: Using order of operations (PEMDAS): first multiply 6 × 2 = 12; then divide 4 ÷ 2 = 2;
then add/subtract left to right: 15 + 12 - 2 = 25 (B). Option A (19) might result from 15 + 6 = 21,
then 21 × 2 = 42, 42 - 4 = 38, 38 ÷ 2 = 19 (left-to-right error). Option C (27) might come from 15
+ 12 = 27, forgetting to subtract 2. Option D (31) might come from adding all numbers.
Q2: Evaluate: (8 - 3)² + 12 ÷ 4
A. 10
B. 28 [CORRECT]
C. 31
D. 40
Correct Answer: B
,Rationale: Using PEMDAS: parentheses first (8 - 3) = 5; then exponent 5² = 25; then division 12
÷ 4 = 3; finally addition 25 + 3 = 28 (B). Option A (10) might be 5 + 3 + 2. Option C (31) might
be 25 + 6. Option D (40) might be 8² + 12 ÷ 4 = 64 + 3 = 67, or other errors.
Q3: Round 4,782 to the nearest hundred
A. 4,700
B. 4,780
C. 4,800 [CORRECT]
D. 5,000
Correct Answer: C
Rationale: To round to the nearest hundred, look at the tens digit (8). Since 8 ≥ 5, round up:
4,782 → 4,800 (C). Option A (4,700) rounds down incorrectly. Option B (4,780) rounds to tens
place. Option D (5,000) rounds to thousands.
Q4: What is the remainder when 847 is divided by 6?
A. 1 [CORRECT]
B. 3
C. 5
D. 7
Correct Answer: A
Rationale: 847 ÷ 6 = 141 with remainder 1, because 6 × 141 = 846, and 847 - 846 = 1 (A).
Option B (3) might be from 849 ÷ 6. Option C (5) might be from 851 ÷ 6. Option D (7) is larger
than the divisor and impossible.
Q5: Simplify: 3 + 4 × (5 - 2)² ÷ 6
A. 5
B. 9 [CORRECT]
C. 15
D. 21
Correct Answer: B
Rationale: PEMDAS: parentheses (5-2)=3; exponent 3²=9; multiplication/division left to right:
4×9=36, then 36÷6=6; finally addition: 3+6=9 (B). Option A (5) might be 3+4-2. Option C (15)
might be 3+4×3. Option D (21) might be (3+4)×3.
, Q6: Estimate the product: 48 × 52
A. 2,000
B. 2,400
C. 2,500 [CORRECT]
D. 3,000
Correct Answer: C
Rationale: 48 × 52 ≈ 50 × 50 = 2,500 (C). The exact answer is 2,496. Option A (2,000)
underestimates. Option B (2,400) might be 48×50. Option D (3,000) overestimates.
Q7: Which of the following is equivalent to 2³ × 2⁴?
A. 2¹²
B. 4⁷
C. 2⁷ [CORRECT]
D. 8¹²
Correct Answer: C
Rationale: When multiplying powers with the same base, add exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷
(C). Option A (2¹²) multiplies exponents. Option B (4⁷) changes base incorrectly. Option D (8¹²)
is incorrect on both counts.
Q8: Find the average of: 85, 92, 78, 95, 80
A. 84
B. 86 [CORRECT]
C. 88
D. 90
Correct Answer: B
Rationale: Average = sum ÷ count = (85+92+78+95+80) ÷ 5 = 430 ÷ 5 = 86 (B). Option A (84)
might miss adding one number. Option C (88) might be from incorrect sum. Option D (90)
overestimates.
Q9: A nurse works 4 shifts of 12 hours each. How many total hours does she work?
A. 36 hours
B. 48 hours [CORRECT]
2026/2027 Complete Questions and
Verified Answers with Detailed Rationales
Grade A 100% Correct Pass Guaranteed -
A+ Graded
SECTION 1: BASIC ARITHMETIC
Q1: Simplify: 15 + 6 × 2 - 4 ÷ 2
A. 19
B. 25 [CORRECT]
C. 27
D. 31
Correct Answer: B
Rationale: Using order of operations (PEMDAS): first multiply 6 × 2 = 12; then divide 4 ÷ 2 = 2;
then add/subtract left to right: 15 + 12 - 2 = 25 (B). Option A (19) might result from 15 + 6 = 21,
then 21 × 2 = 42, 42 - 4 = 38, 38 ÷ 2 = 19 (left-to-right error). Option C (27) might come from 15
+ 12 = 27, forgetting to subtract 2. Option D (31) might come from adding all numbers.
Q2: Evaluate: (8 - 3)² + 12 ÷ 4
A. 10
B. 28 [CORRECT]
C. 31
D. 40
Correct Answer: B
,Rationale: Using PEMDAS: parentheses first (8 - 3) = 5; then exponent 5² = 25; then division 12
÷ 4 = 3; finally addition 25 + 3 = 28 (B). Option A (10) might be 5 + 3 + 2. Option C (31) might
be 25 + 6. Option D (40) might be 8² + 12 ÷ 4 = 64 + 3 = 67, or other errors.
Q3: Round 4,782 to the nearest hundred
A. 4,700
B. 4,780
C. 4,800 [CORRECT]
D. 5,000
Correct Answer: C
Rationale: To round to the nearest hundred, look at the tens digit (8). Since 8 ≥ 5, round up:
4,782 → 4,800 (C). Option A (4,700) rounds down incorrectly. Option B (4,780) rounds to tens
place. Option D (5,000) rounds to thousands.
Q4: What is the remainder when 847 is divided by 6?
A. 1 [CORRECT]
B. 3
C. 5
D. 7
Correct Answer: A
Rationale: 847 ÷ 6 = 141 with remainder 1, because 6 × 141 = 846, and 847 - 846 = 1 (A).
Option B (3) might be from 849 ÷ 6. Option C (5) might be from 851 ÷ 6. Option D (7) is larger
than the divisor and impossible.
Q5: Simplify: 3 + 4 × (5 - 2)² ÷ 6
A. 5
B. 9 [CORRECT]
C. 15
D. 21
Correct Answer: B
Rationale: PEMDAS: parentheses (5-2)=3; exponent 3²=9; multiplication/division left to right:
4×9=36, then 36÷6=6; finally addition: 3+6=9 (B). Option A (5) might be 3+4-2. Option C (15)
might be 3+4×3. Option D (21) might be (3+4)×3.
, Q6: Estimate the product: 48 × 52
A. 2,000
B. 2,400
C. 2,500 [CORRECT]
D. 3,000
Correct Answer: C
Rationale: 48 × 52 ≈ 50 × 50 = 2,500 (C). The exact answer is 2,496. Option A (2,000)
underestimates. Option B (2,400) might be 48×50. Option D (3,000) overestimates.
Q7: Which of the following is equivalent to 2³ × 2⁴?
A. 2¹²
B. 4⁷
C. 2⁷ [CORRECT]
D. 8¹²
Correct Answer: C
Rationale: When multiplying powers with the same base, add exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷
(C). Option A (2¹²) multiplies exponents. Option B (4⁷) changes base incorrectly. Option D (8¹²)
is incorrect on both counts.
Q8: Find the average of: 85, 92, 78, 95, 80
A. 84
B. 86 [CORRECT]
C. 88
D. 90
Correct Answer: B
Rationale: Average = sum ÷ count = (85+92+78+95+80) ÷ 5 = 430 ÷ 5 = 86 (B). Option A (84)
might miss adding one number. Option C (88) might be from incorrect sum. Option D (90)
overestimates.
Q9: A nurse works 4 shifts of 12 hours each. How many total hours does she work?
A. 36 hours
B. 48 hours [CORRECT]
