TCA Michigan HiSET Mathematics Computer Based
Test Exam
Question 1. What is the value of 3² × 3³?
A) 6
B) 9
C) 27
D) 243
Answer: D
Explanation: When multiplying powers with the same base, add the exponents: 3² × 3³ = 3^(2+3) = 3⁵
= 243.
Question 2. Which of the following is an irrational number?
A) 0.25
B) √2
C) 1/5
D) -3
Answer: B
Explanation: √2 cannot be written as a fraction of two integers and its decimal does not terminate or
repeat, making it irrational.
Question 3. What is the value of (8 + 2 × 5) ÷ 6?
A) 3
B) 2
C) 6
D) 5
Answer: A
Explanation: Use order of operations: 2×5=10; 8+10=18; 18÷6=3.
Question 4. Convert 0.4 to a fraction in simplest form.
A) 4/100
B) 2/5
C) 1/3
D) 4/5
Answer: B
Explanation: 0.4 = 4/10; divide numerator and denominator by 2 to get 2/5.
Question 5. What is 20% of 150?
A) 15
B) 30
C) 20
D) 25
Answer: B
Explanation: 20% of 150 = 0.20 × 150 = 30.
Question 6. Which operation should be performed first in the expression 7 + 2 × (5 – 3)?
A) Addition
B) Multiplication
C) Parentheses
D) Subtraction
Answer: D
Explanation: According to order of operations, solve inside parentheses first (5–3=2).
, TCA Michigan HiSET Mathematics Computer Based
Test Exam
Question 7. What is 5/8 as a decimal?
A) 0.58
B) 0.625
C) 0.85
D) 0.75
Answer: B
Explanation: 5 ÷ 8 = 0.625.
Question 8. Simplify: (3/4) + (2/5)
A) 5/9
B) 19/20
C) 13/20
D) 7/9
Answer: C
Explanation: Common denominator is 20: (3×5)/(4×5) + (2×4)/(5×4) = 15/20 + 8/20 = 23/20.
Question 9. What is the value of 2⁻³?
A) 8
B) 1/8
C) 1/6
D) –8
Answer: B
Explanation: Negative exponent means reciprocal, so 2⁻³ = 1/(2³) = 1/8.
Question 10. Round 67,489 to the nearest thousand.
A) 67,000
B) 68,000
C) 70,000
D) 66,000
Answer: B
Explanation: 67,489 rounds up to 68,000 at the thousand place.
Question 11. What is the product of 0.6 and 0.7?
A) 0.42
B) 0.13
C) 0.47
D) 1.3
Answer: A
Explanation: 0.6 × 0.7 = 0.42.
Question 12. Which of these numbers is not a whole number?
A) 0
B) 7
C) -4
D) 3
Answer: C
Explanation: Whole numbers are 0 and positive integers. -4 is an integer, but not a whole number.
Question 13. Express 7/25 as a percent.
A) 28%
, TCA Michigan HiSET Mathematics Computer Based
Test Exam
B) 0.28%
C) 2.8%
D) 28.0%
Answer: A
Explanation: (7/25) × 100 = 28%.
Question 14. What is the greatest common factor (GCF) of 18 and 24?
A) 6
B) 12
C) 9
D) 24
Answer: A
Explanation: The largest number that divides both 18 and 24 is 6.
Question 15. Simplify: 4 × [3 + (2 × 5)]
A) 44
B) 32
C) 28
D) 26
Answer: C
Explanation: Parentheses first: 2×5=10; 3+10=13; 4×13=52.
Question 16. What is 3/10 of 70?
A) 21
B) 7
C) 30
D) 23
Answer: A
Explanation: (3/10) × 70 = 21.
Question 17. Which value is equivalent to 5³?
A) 15
B) 25
C) 125
D) 225
Answer: C
Explanation: 5³ = 5 × 5 × 5 = 125.
Question 18. If 4x = 28, what is x?
A) 5
B) 6
C) 7
D) 8
Answer: C
Explanation: x = 28 ÷ 4 = 7.
Question 19. What is the reciprocal of 2/3?
A) 3/2
B) 2/3
C) 1/6
, TCA Michigan HiSET Mathematics Computer Based
Test Exam
D) 1.5
Answer: A
Explanation: Reciprocal is flipping the numerator and denominator: 3/2.
Question 20. Which number is a prime number?
A) 18
B) 21
C) 23
D) 27
Answer: C
Explanation: 23 is only divisible by 1 and itself.
Question 21. Which of the following is equal to 2.5 × 10³ in standard notation?
A) 250
B) 25,000
C) 2,500
D) 250,000
Answer: C
Explanation: 2.5 × 10³ = 2.5 × 1000 = 2,500.
Question 22. What is 15% of 60?
A) 9
B) 6
C) 12
D) 18
Answer: A
Explanation: 15% of 60 = 0.15 × 60 = 9.
Question 23. Which is the correct order from least to greatest: 1/2, 0.5, 50%?
A) 1/2 < 0.5 < 50%
B) 50% < 1/2 < 0.5
C) 0.5 = 1/2 = 50%
D) 0.5 < 1/2 < 50%
Answer: C
Explanation: 1/2, 0.5, and 50% all represent the same value.
Question 24. Simplify: 7 – [3 – (2 + 1)]
A) 3
B) 7
C) 5
D) 1
Answer: C
Explanation: (2+1)=3; [3–3]=0; 7–0=7.
Question 25. What is the value of 4² – 3³?
A) 7
B) 16
C) 37
D) -11
Test Exam
Question 1. What is the value of 3² × 3³?
A) 6
B) 9
C) 27
D) 243
Answer: D
Explanation: When multiplying powers with the same base, add the exponents: 3² × 3³ = 3^(2+3) = 3⁵
= 243.
Question 2. Which of the following is an irrational number?
A) 0.25
B) √2
C) 1/5
D) -3
Answer: B
Explanation: √2 cannot be written as a fraction of two integers and its decimal does not terminate or
repeat, making it irrational.
Question 3. What is the value of (8 + 2 × 5) ÷ 6?
A) 3
B) 2
C) 6
D) 5
Answer: A
Explanation: Use order of operations: 2×5=10; 8+10=18; 18÷6=3.
Question 4. Convert 0.4 to a fraction in simplest form.
A) 4/100
B) 2/5
C) 1/3
D) 4/5
Answer: B
Explanation: 0.4 = 4/10; divide numerator and denominator by 2 to get 2/5.
Question 5. What is 20% of 150?
A) 15
B) 30
C) 20
D) 25
Answer: B
Explanation: 20% of 150 = 0.20 × 150 = 30.
Question 6. Which operation should be performed first in the expression 7 + 2 × (5 – 3)?
A) Addition
B) Multiplication
C) Parentheses
D) Subtraction
Answer: D
Explanation: According to order of operations, solve inside parentheses first (5–3=2).
, TCA Michigan HiSET Mathematics Computer Based
Test Exam
Question 7. What is 5/8 as a decimal?
A) 0.58
B) 0.625
C) 0.85
D) 0.75
Answer: B
Explanation: 5 ÷ 8 = 0.625.
Question 8. Simplify: (3/4) + (2/5)
A) 5/9
B) 19/20
C) 13/20
D) 7/9
Answer: C
Explanation: Common denominator is 20: (3×5)/(4×5) + (2×4)/(5×4) = 15/20 + 8/20 = 23/20.
Question 9. What is the value of 2⁻³?
A) 8
B) 1/8
C) 1/6
D) –8
Answer: B
Explanation: Negative exponent means reciprocal, so 2⁻³ = 1/(2³) = 1/8.
Question 10. Round 67,489 to the nearest thousand.
A) 67,000
B) 68,000
C) 70,000
D) 66,000
Answer: B
Explanation: 67,489 rounds up to 68,000 at the thousand place.
Question 11. What is the product of 0.6 and 0.7?
A) 0.42
B) 0.13
C) 0.47
D) 1.3
Answer: A
Explanation: 0.6 × 0.7 = 0.42.
Question 12. Which of these numbers is not a whole number?
A) 0
B) 7
C) -4
D) 3
Answer: C
Explanation: Whole numbers are 0 and positive integers. -4 is an integer, but not a whole number.
Question 13. Express 7/25 as a percent.
A) 28%
, TCA Michigan HiSET Mathematics Computer Based
Test Exam
B) 0.28%
C) 2.8%
D) 28.0%
Answer: A
Explanation: (7/25) × 100 = 28%.
Question 14. What is the greatest common factor (GCF) of 18 and 24?
A) 6
B) 12
C) 9
D) 24
Answer: A
Explanation: The largest number that divides both 18 and 24 is 6.
Question 15. Simplify: 4 × [3 + (2 × 5)]
A) 44
B) 32
C) 28
D) 26
Answer: C
Explanation: Parentheses first: 2×5=10; 3+10=13; 4×13=52.
Question 16. What is 3/10 of 70?
A) 21
B) 7
C) 30
D) 23
Answer: A
Explanation: (3/10) × 70 = 21.
Question 17. Which value is equivalent to 5³?
A) 15
B) 25
C) 125
D) 225
Answer: C
Explanation: 5³ = 5 × 5 × 5 = 125.
Question 18. If 4x = 28, what is x?
A) 5
B) 6
C) 7
D) 8
Answer: C
Explanation: x = 28 ÷ 4 = 7.
Question 19. What is the reciprocal of 2/3?
A) 3/2
B) 2/3
C) 1/6
, TCA Michigan HiSET Mathematics Computer Based
Test Exam
D) 1.5
Answer: A
Explanation: Reciprocal is flipping the numerator and denominator: 3/2.
Question 20. Which number is a prime number?
A) 18
B) 21
C) 23
D) 27
Answer: C
Explanation: 23 is only divisible by 1 and itself.
Question 21. Which of the following is equal to 2.5 × 10³ in standard notation?
A) 250
B) 25,000
C) 2,500
D) 250,000
Answer: C
Explanation: 2.5 × 10³ = 2.5 × 1000 = 2,500.
Question 22. What is 15% of 60?
A) 9
B) 6
C) 12
D) 18
Answer: A
Explanation: 15% of 60 = 0.15 × 60 = 9.
Question 23. Which is the correct order from least to greatest: 1/2, 0.5, 50%?
A) 1/2 < 0.5 < 50%
B) 50% < 1/2 < 0.5
C) 0.5 = 1/2 = 50%
D) 0.5 < 1/2 < 50%
Answer: C
Explanation: 1/2, 0.5, and 50% all represent the same value.
Question 24. Simplify: 7 – [3 – (2 + 1)]
A) 3
B) 7
C) 5
D) 1
Answer: C
Explanation: (2+1)=3; [3–3]=0; 7–0=7.
Question 25. What is the value of 4² – 3³?
A) 7
B) 16
C) 37
D) -11
