TEST V2 (2026/2027) SCIENCE & MATHEMATICS
– COMPLETE EXAM BANK 400 FULLY SOLVED
QUESTIONS WITH DETAILED RATIONALES
PART 1: MATHEMATICS (Questions 1–150)
SECTION 1A: NUMBER SENSE AND OPERATIONS (Questions 1–50)
1. What is the value of 8 + 6 × 2 − 4?
A) 12
B) 16
C) 24
D) 28
Answer B: 16
Rationale: Apply order of operations (PEMDAS). Multiplication first: 6 × 2 = 12.
Then: 8 + 12 − 4 = 16.
2. Which of the following is the prime factorization of 72?
A) 2² × 3³
B) 2³ × 3²
C) 2 × 3 × 12
D) 2⁴ × 3
Answer B: 2³ × 3²
,Rationale: 72 = 8 × 9 = 2³ × 3².
3. What is the greatest common factor (GCF) of 36 and 60?
A) 4
B) 6
C) 12
D) 18
Answer C: 12
Rationale: 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.
4. What is the least common multiple (LCM) of 8 and 12?
A) 12
B) 16
C) 24
D) 48
Answer C: 24
Rationale: Multiples of 8: 8, 16, 24. Multiples of 12: 12, 24. The smallest common
multiple is 24.
5. Which of the following fractions is equivalent to 0.625?
A) 3/5
,B) 5/8
C) 2/3
D) 7/11
Answer B: 5/8
Rationale: 5 ÷ 8 = 0.625.
6. What is 35% of 200?
A) 50
B) 70
C) 80
D) 100
Answer B: 70
Rationale: 0.35 × 200 = 70.
7. A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 9 cups
of sugar, how many cups of flour are needed?
A) 4
B) 6
C) 8
D) 10
Answer B: 6
Rationale: Ratio flour/sugar = 2/3 = x/9 → x = 6.
, 8. What is the value of 4³?
A) 16
B) 32
C) 64
D) 128
Answer C: 64
Rationale: 4 × 4 × 4 = 64.
9. Simplify: 3/4 ÷ 1/2
A) 1/2
B) 3/8
C) 1.5 or 3/2
D) 2/3
Answer C: 1.5 or 3/2
Rationale: Dividing by a fraction is the same as multiplying by its reciprocal: 3/4 ×
2/1 = 6/4 = 3/2.
10. The number 0.00045 written in scientific notation is:
A) 4.5 × 10⁻³
B) 4.5 × 10⁻⁴
C) 4.5 × 10⁴
D) 45 × 10⁻⁵