MAT Mathematics Final Exam | Complete Practice Questions,
Correct Answers & Detailed Solutions (2026/2027)
Question 1
What is the place value of the digit 7 in the decimal number 45.872?
• A. Units
• B. Tenths
• C. Hundredths
• D. Thousandths
• Correct Answer: C
• Detailed Rationale: In decimal notation, the second position to
the right of the decimal point represents hundredths (7 in the
7
hundredths place represents 0.07 or ).
100
Question 2
What is the Highest Common Factor (HCF) of 36 and 48?
• A. 6
• B. 12
• C. 18
• D. 24
• Correct Answer: B
, • Detailed Rationale: The prime factorizations are 36 = 22 × 32
and 48 = 24 × 3. The product of the lowest powers of common
prime factors is 22 × 3 = 12.
Question 3
What is the Lowest Common Multiple (LCM) of 8 and 12?
• A. 24
• B. 48
• C. 96
• D. 4
• Correct Answer: A
• Detailed Rationale: Multiples of 8 are 8,16,24,32. .. and multiples
of 12 are 12,24,36. ... The smallest common multiple is 24.
Question 4
When evaluating the expression 24 ÷ 4 × 2 + 3, which operation
should be performed first according to the standard order of operations
(BODMAS/PEMDAS)?
• A. Addition (2 + 3)
• B. Multiplication (4 × 2)
• C. Division (24 ÷ 4)
• D. Any operation from right to left
• Correct Answer: C
, • Detailed Rationale: Multiplication and division have equal priority
and are evaluated strictly from left to right; therefore, division
(24 ÷ 4) is calculated first.
Question 5
48
What is the result when simplifying the fraction to its lowest terms?
64
3
• A.
4
2
• B.
3
5
• C.
8
6
• D.
7
• Correct Answer: A
• Detailed Rationale: Dividing both numerator and denominator by
48÷16 3
their greatest common divisor (16) yields = .
64÷16 4
Question 6
2 3
What is the sum of and ?
3 4
5
• A.
7
17
• B.
12
6
• C.
12
5
• D.
12
• Correct Answer: B
Correct Answers & Detailed Solutions (2026/2027)
Question 1
What is the place value of the digit 7 in the decimal number 45.872?
• A. Units
• B. Tenths
• C. Hundredths
• D. Thousandths
• Correct Answer: C
• Detailed Rationale: In decimal notation, the second position to
the right of the decimal point represents hundredths (7 in the
7
hundredths place represents 0.07 or ).
100
Question 2
What is the Highest Common Factor (HCF) of 36 and 48?
• A. 6
• B. 12
• C. 18
• D. 24
• Correct Answer: B
, • Detailed Rationale: The prime factorizations are 36 = 22 × 32
and 48 = 24 × 3. The product of the lowest powers of common
prime factors is 22 × 3 = 12.
Question 3
What is the Lowest Common Multiple (LCM) of 8 and 12?
• A. 24
• B. 48
• C. 96
• D. 4
• Correct Answer: A
• Detailed Rationale: Multiples of 8 are 8,16,24,32. .. and multiples
of 12 are 12,24,36. ... The smallest common multiple is 24.
Question 4
When evaluating the expression 24 ÷ 4 × 2 + 3, which operation
should be performed first according to the standard order of operations
(BODMAS/PEMDAS)?
• A. Addition (2 + 3)
• B. Multiplication (4 × 2)
• C. Division (24 ÷ 4)
• D. Any operation from right to left
• Correct Answer: C
, • Detailed Rationale: Multiplication and division have equal priority
and are evaluated strictly from left to right; therefore, division
(24 ÷ 4) is calculated first.
Question 5
48
What is the result when simplifying the fraction to its lowest terms?
64
3
• A.
4
2
• B.
3
5
• C.
8
6
• D.
7
• Correct Answer: A
• Detailed Rationale: Dividing both numerator and denominator by
48÷16 3
their greatest common divisor (16) yields = .
64÷16 4
Question 6
2 3
What is the sum of and ?
3 4
5
• A.
7
17
• B.
12
6
• C.
12
5
• D.
12
• Correct Answer: B