Mathematics Exam 2026/2027 | Complete
Test Bank with 250 Questions, Answers &
Explanations | Algebra, Geometry,
Trigonometry & Statistics Practice
Description:
Master your 2026/2027 mathematics exam with this comprehensive test bank featuring 250
practice questions, detailed answers, and step-by-step explanations. Covers algebra, geometry,
trigonometry, statistics, and more. Perfect for university students, exam prep, and study
guides.
Download Now for 2026/2027 Academic Success!
, Mathematics Exam 2026/2027: 250 Questions & Answers
SECTION A: NUMBER THEORY AND OPERATIONS
Question 1
What is the first step when adding or subtracting unlike fractions?
A) Add the numerators directly
B) Subtract the denominators
C) Find a common denominator
D) Multiply the fractions together
Answer: C
Explanation: When working with unlike fractions, the denominators must be made equal before
any addition or subtraction can occur. This is accomplished by finding a common denominator,
typically the least common multiple (LCM) of the given denominators.
Question 2
Calculate: 1/2 + 3/8
A) 4/8
B) 7/8
C) 4/10
D) 3/4
Answer: B
Explanation: The common denominator for 2 and 8 is 8. Convert 1/2 to 4/8 by multiplying both
numerator and denominator by 4. Then add 4/8 + 3/8 = 7/8. The result cannot be reduced further
as 7 and 8 share no common factors.
,Question 3
What is the least common multiple (LCM) of 4 and 5?
A) 9
B) 15
C) 20
D) 25
Answer: C
Explanation: The LCM is the smallest positive integer that is divisible by both numbers.
Multiples of 4: 4, 8, 12, 16, 20. Multiples of 5: 5, 10, 15, 20. The smallest common multiple is
20.
Question 4
Convert 3/4 and 1/5 to equivalent fractions with a common denominator.
A) 15/20 and 4/20
B) 12/20 and 4/20
C) 15/20 and 5/20
D) 3/20 and 1/20
Answer: A
Explanation: The LCM of 4 and 5 is 20. For 3/4, multiply numerator and denominator by 5:
(3×5)/(4×5) = 15/20. For 1/5, multiply by 4: (1×4)/(5×4) = 4/20.
Question 5
Which number is divisible by 3?
A) 124
B) 235
C) 342
D) 451
, Answer: C
Explanation: According to the divisibility rule for 3, the sum of the digits must be divisible by
3. For 342: 3 + 4 + 2 = 9, which is divisible by 3, therefore 342 is divisible by 3.
Question 6
A number is divisible by 6 if it satisfies which condition?
A) It is even and divisible by 3
B) It ends in 0 or 5
C) The sum of digits is divisible by 9
D) It is odd and divisible by 2
Answer: A
Explanation: Divisibility by 6 requires the number to be divisible by both 2 and 3. This means
the number must be even (divisible by 2) and the sum of its digits must be divisible by 3.
Question 7
What is the prime factorization of 30?
A) 2 × 3 × 5
B) 5 × 6
C) 2 × 15
D) 3 × 10
Answer: A
Explanation: Prime factorization involves expressing a number as the product of its prime
factors. 30 = 2 × 3 × 5, where 2, 3, and 5 are all prime numbers. This is the unique prime
factorization of 30.
Test Bank with 250 Questions, Answers &
Explanations | Algebra, Geometry,
Trigonometry & Statistics Practice
Description:
Master your 2026/2027 mathematics exam with this comprehensive test bank featuring 250
practice questions, detailed answers, and step-by-step explanations. Covers algebra, geometry,
trigonometry, statistics, and more. Perfect for university students, exam prep, and study
guides.
Download Now for 2026/2027 Academic Success!
, Mathematics Exam 2026/2027: 250 Questions & Answers
SECTION A: NUMBER THEORY AND OPERATIONS
Question 1
What is the first step when adding or subtracting unlike fractions?
A) Add the numerators directly
B) Subtract the denominators
C) Find a common denominator
D) Multiply the fractions together
Answer: C
Explanation: When working with unlike fractions, the denominators must be made equal before
any addition or subtraction can occur. This is accomplished by finding a common denominator,
typically the least common multiple (LCM) of the given denominators.
Question 2
Calculate: 1/2 + 3/8
A) 4/8
B) 7/8
C) 4/10
D) 3/4
Answer: B
Explanation: The common denominator for 2 and 8 is 8. Convert 1/2 to 4/8 by multiplying both
numerator and denominator by 4. Then add 4/8 + 3/8 = 7/8. The result cannot be reduced further
as 7 and 8 share no common factors.
,Question 3
What is the least common multiple (LCM) of 4 and 5?
A) 9
B) 15
C) 20
D) 25
Answer: C
Explanation: The LCM is the smallest positive integer that is divisible by both numbers.
Multiples of 4: 4, 8, 12, 16, 20. Multiples of 5: 5, 10, 15, 20. The smallest common multiple is
20.
Question 4
Convert 3/4 and 1/5 to equivalent fractions with a common denominator.
A) 15/20 and 4/20
B) 12/20 and 4/20
C) 15/20 and 5/20
D) 3/20 and 1/20
Answer: A
Explanation: The LCM of 4 and 5 is 20. For 3/4, multiply numerator and denominator by 5:
(3×5)/(4×5) = 15/20. For 1/5, multiply by 4: (1×4)/(5×4) = 4/20.
Question 5
Which number is divisible by 3?
A) 124
B) 235
C) 342
D) 451
, Answer: C
Explanation: According to the divisibility rule for 3, the sum of the digits must be divisible by
3. For 342: 3 + 4 + 2 = 9, which is divisible by 3, therefore 342 is divisible by 3.
Question 6
A number is divisible by 6 if it satisfies which condition?
A) It is even and divisible by 3
B) It ends in 0 or 5
C) The sum of digits is divisible by 9
D) It is odd and divisible by 2
Answer: A
Explanation: Divisibility by 6 requires the number to be divisible by both 2 and 3. This means
the number must be even (divisible by 2) and the sum of its digits must be divisible by 3.
Question 7
What is the prime factorization of 30?
A) 2 × 3 × 5
B) 5 × 6
C) 2 × 15
D) 3 × 10
Answer: A
Explanation: Prime factorization involves expressing a number as the product of its prime
factors. 30 = 2 × 3 × 5, where 2, 3, and 5 are all prime numbers. This is the unique prime
factorization of 30.
