V2 (2026) SCIENCE & MATHEMATICS –
COMPLETE EXAM BANK 400 FULLY SOLVED QUESTIONS
WITH DETAILED RATIONALES
Exam Format: 52 multiple-choice questions + 4 constructed-response questions
Topics: Mathematics (Number Sense, Algebra, Geometry, Statistics) &
Science (Physical, Life, Earth/Space Sciences)
INSTRUCTIONS
This comprehensive practice test contains 400 questions divided into:
- Part 1: Mathematics (Questions 1–200)
- Part 2: Science (Questions 201–400)
PART 1: MATHEMATICS (Questions 1–200)
SECTION 1A: NUMBER SENSE AND OPERATIONS (Questions 1–60)
Question 1
What is the value of 8 + 6 × 2 − 4?
A) 12
B) 16
C) 24
D) 28
Answer: B) 16
Explanation: Apply order of operations (PEMDAS). Multiplication first: 6 × 2 = 12.
Then: 8 + 12 − 4 = 16.
Question 2
Which of the following is the prime factorization of 72?
A) 2² × 3³
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,B) 2³ × 3²
C) 2 × 3 × 12
D) 2⁴ × 3
Answer: B) 2³ × 3²
Explanation: 72 = 8 × 9 = 2³ × 3².
Question 3
What is the greatest common factor (GCF) of 36 and 60?
A) 4
B) 6
C) 12
D) 18
Answer: C) 12
Explanation: Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. The largest common factor is 12.
Question 4
What is the least common multiple (LCM) of 8 and 12?
A) 12
B) 16
C) 24
D) 48
Answer: C) 24
Explanation: Multiples of 8: 8, 16, 24, 32... Multiples of 12: 12, 24, 36...
The smallest common multiple is 24.
Question 5
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,Convert 0.375 to a fraction in simplest form.
A) 3/8
B) 3/4
C) 5/8
D) 7/8
Answer: A) 3/8
Explanation: 0.375 = 375/1000. Divide numerator and denominator by 125:
375 ÷ 125 = 3, 1000 ÷ 125 = 8 → 3/8.
Question 6
Simplify: (5²)³
A) 5⁵
B) 5⁶
C) 5⁸
D) 5²⁵
Answer: B) 5⁶
Explanation: When raising a power to a power, multiply exponents: (5²)³ = 5^(2×3)
= 5⁶.
Question 7
Evaluate: √81
A) 7
B) 8
C) 9
D) 10
Answer: C) 9
Explanation: 9 × 9 = 81, so √81 = 9.
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, Question 8
Which of the following is equal to 10⁻⁴?
A) 0.0001
B) 0.001
C) 0.01
D) 0.1
Answer: A) 0.0001
Explanation: 10⁻⁴ = 1/10⁴ = 1/10,000 = 0.0001.
Question 9
What is 40% of 350?
A) 100
B) 120
C) 140
D) 160
Answer: C) 140
Explanation: 40% = 0.40. 0.40 × 350 = 140.
Question 10
A television originally priced at $500 is on sale for 30% off. What is the
sale price?
A) $150
B) $350
C) $450
D) $500
Answer: B) $350
Explanation: 30% of $500 = $150. $500 − $150 = $350.
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