TCA Hawaii HiSET Mathematics Paper Based Test Exam
Question 1. What is the prime factorization of 48?
A) 2^4 × 3
B) 2^3 × 4
C) 2^2 × 3^2
D) 2^4 × 6
Answer: A
Explanation: Prime factorization breaks down 48 into prime numbers: 48 = 2^4 × 3.
Question 2. What is the least common multiple (LCM) of 12 and 15?
A) 60
B) 45
C) 30
D) 90
Answer: A
Explanation: The LCM of 12 and 15 is 60, as it's the smallest number divisible by both.
Question 3. Simplify the expression: 3/4 + 2/3.
A) 17/12
B) 5/7
C) 1
D) 9/12
Answer: A
Explanation: Find common denominator 12: (3/4 = 9/12, 2/3 = 8/12). Sum: 9/12 + 8/12 = 17/12.
Question 4. Convert 0.75 to a percentage.
A) 75%
B) 7.5%
C) 0.75%
D) 750%
, TCA Hawaii HiSET Mathematics Paper Based Test Exam
Answer: A
Explanation: Moving the decimal two places right: 0.75 = 75%.
Question 5. What is 25% of 200?
A) 50
B) 25
C) 75
D) 100
Answer: A
Explanation: 25% of 200 = 0.25 × 200 = 50.
Question 6. Which of the following is a prime number?
A) 21
B) 29
C) 35
D) 51
Answer: B
Explanation: 29 has only two divisors: 1 and itself, making it prime.
Question 7. Find the greatest common divisor (GCD) of 36 and 48.
A) 12
B) 6
C) 18
D) 24
Answer: A
Explanation: GCD is the largest number dividing both: 12 divides both.
Question 8. What is 7 × (3 + 4)?
A) 49
, TCA Hawaii HiSET Mathematics Paper Based Test Exam
B) 21
C) 28
D) 35
Answer: A
Explanation: Use order of operations: 7 × 7 = 49.
Question 9. Calculate the perimeter of a rectangle with length 8 units and width 3 units.
A) 22 units
B) 24 units
C) 11 units
D) 16 units
Answer: A
Explanation: Perimeter = 2(length + width) = 2(8 + 3) = 22.
Question 10. Find the area of a triangle with base 10 units and height 5 units.
A) 25 square units
B) 50 square units
C) 15 square units
D) 30 square units
Answer: A
Explanation: Area = 1/2 × base × height = 1/2 × 10 × 5 = 25.
Question 11. What is the volume of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm?
A) 60 cm^3
B) 60 cm^2
C) 15 cm^3
D) 12 cm^3
Answer: A
Explanation: Volume = length × width × height = 4 × 3 × 5 = 60.
, TCA Hawaii HiSET Mathematics Paper Based Test Exam
Question 12. If a circle has a radius of 7 units, what is its circumference?
A) 14π units
B) 28π units
C) 44 units
D) 49π units
Answer: B
Explanation: Circumference = 2πr = 2π(7) = 14π; but the correct answer is 28π units (correct calculation:
2×π×7 = 14π, so answer B is correct).
Question 13. Convert 150 centimeters to meters.
A) 1.5 meters
B) 15 meters
C) 0.15 meters
D) 1500 meters
Answer: A
Explanation: 150 cm ÷ 100 = 1.5 meters.
Question 14. What is the slope of the line passing through points (2, 3) and (4, 7)?
A) 2
B) 4
C) 1/2
D) 5
Answer: A
Explanation: Slope = (7 - 3) / (4 - 2) = = 2.
Question 15. Which coordinate point lies on the line y = 2x + 1?
A) (3, 7)
B) (2, 4)
Question 1. What is the prime factorization of 48?
A) 2^4 × 3
B) 2^3 × 4
C) 2^2 × 3^2
D) 2^4 × 6
Answer: A
Explanation: Prime factorization breaks down 48 into prime numbers: 48 = 2^4 × 3.
Question 2. What is the least common multiple (LCM) of 12 and 15?
A) 60
B) 45
C) 30
D) 90
Answer: A
Explanation: The LCM of 12 and 15 is 60, as it's the smallest number divisible by both.
Question 3. Simplify the expression: 3/4 + 2/3.
A) 17/12
B) 5/7
C) 1
D) 9/12
Answer: A
Explanation: Find common denominator 12: (3/4 = 9/12, 2/3 = 8/12). Sum: 9/12 + 8/12 = 17/12.
Question 4. Convert 0.75 to a percentage.
A) 75%
B) 7.5%
C) 0.75%
D) 750%
, TCA Hawaii HiSET Mathematics Paper Based Test Exam
Answer: A
Explanation: Moving the decimal two places right: 0.75 = 75%.
Question 5. What is 25% of 200?
A) 50
B) 25
C) 75
D) 100
Answer: A
Explanation: 25% of 200 = 0.25 × 200 = 50.
Question 6. Which of the following is a prime number?
A) 21
B) 29
C) 35
D) 51
Answer: B
Explanation: 29 has only two divisors: 1 and itself, making it prime.
Question 7. Find the greatest common divisor (GCD) of 36 and 48.
A) 12
B) 6
C) 18
D) 24
Answer: A
Explanation: GCD is the largest number dividing both: 12 divides both.
Question 8. What is 7 × (3 + 4)?
A) 49
, TCA Hawaii HiSET Mathematics Paper Based Test Exam
B) 21
C) 28
D) 35
Answer: A
Explanation: Use order of operations: 7 × 7 = 49.
Question 9. Calculate the perimeter of a rectangle with length 8 units and width 3 units.
A) 22 units
B) 24 units
C) 11 units
D) 16 units
Answer: A
Explanation: Perimeter = 2(length + width) = 2(8 + 3) = 22.
Question 10. Find the area of a triangle with base 10 units and height 5 units.
A) 25 square units
B) 50 square units
C) 15 square units
D) 30 square units
Answer: A
Explanation: Area = 1/2 × base × height = 1/2 × 10 × 5 = 25.
Question 11. What is the volume of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm?
A) 60 cm^3
B) 60 cm^2
C) 15 cm^3
D) 12 cm^3
Answer: A
Explanation: Volume = length × width × height = 4 × 3 × 5 = 60.
, TCA Hawaii HiSET Mathematics Paper Based Test Exam
Question 12. If a circle has a radius of 7 units, what is its circumference?
A) 14π units
B) 28π units
C) 44 units
D) 49π units
Answer: B
Explanation: Circumference = 2πr = 2π(7) = 14π; but the correct answer is 28π units (correct calculation:
2×π×7 = 14π, so answer B is correct).
Question 13. Convert 150 centimeters to meters.
A) 1.5 meters
B) 15 meters
C) 0.15 meters
D) 1500 meters
Answer: A
Explanation: 150 cm ÷ 100 = 1.5 meters.
Question 14. What is the slope of the line passing through points (2, 3) and (4, 7)?
A) 2
B) 4
C) 1/2
D) 5
Answer: A
Explanation: Slope = (7 - 3) / (4 - 2) = = 2.
Question 15. Which coordinate point lies on the line y = 2x + 1?
A) (3, 7)
B) (2, 4)
