PRAXIS Math Practice 5003
Questions and Answers
100% Pass
1. In the number 47,308, what is the value of the digit 7?
A) 700
B) 7,000
C) 70
D) 7
,,,,answer,,,,: B) 7,000
Rationale: Place value determines a digit's value by its position. The 7 is in the
thousands place, so its value is 7 × 1,000 = 7,000.
2. Round 6,748 to the nearest hundred.
A) 6,800
B) 6,700
C) 6,750
D) 7,000
,,,,answer,,,,: B) 6,700
,Rationale: To round to the nearest hundred, look at the tens digit. The tens digit of
6,748 is 4, which is less than 5, so the hundreds digit stays the same and the value
rounds down to 6,700.
3. Which fraction is equivalent to 0.75?
A) 1/4
B) 3/4
C) 7/5
D) 3/5
,,,,answer,,,,: B) 3/4
Rationale: The decimal 0.75 means 75 hundredths, or 75/100. Simplifying 75/100 by
dividing both numerator and denominator by 25 gives 3/4.
4. What is 2/3 + 1/6?
A) 3/9
B) 5/6
C) 1/2
D) 3/6
,,,,answer,,,,: B) 5/6
Rationale: To add fractions, use a common denominator. The least common
denominator of 3 and 6 is 6, so 2/3 = 4/6. Then 4/6 + 1/6 = 5/6.
,5. A shirt originally priced at $40 is on sale for 25% off. What is the sale price?
A) $10
B) $30
C) $35
D) $25
,,,,answer,,,,: B) $30
Rationale: A 25% discount on $40 is 0.25 × $40 = $10. The sale price is $40 - $10 = $30.
6. What is the scientific notation of 674.9723?
A) 6.749723 × 10²
B) 6.749723 × 10⁴
C) 6.749723 × 10⁻²
D) 6.749723 × 10³
,,,,answer,,,,: A) 6.749723 × 10²
Rationale: Scientific notation requires a number between 1 and 10 multiplied by a
power of 10. 674.9723 = 6.749723 × 100 = 6.749723 × 10².
7. If the result of performing all four of the steps below is 28, what value was
chosen for b?
Step 1: Select a number, b
, Step 2: Divide b by 3
Step 3: Subtract 5 from the result
Step 4: Multiply the result by 7
A) 84
B) -3
C) 27
D) 63⅔
,,,,answer,,,,: C) 27
Rationale: Work backwards: 28 ÷ 7 = 4; 4 + 5 = 9; 9 × 3 = 27. So b = 27.
8. What is the digit in the hundreds place in the product of 63 × 31?
A) 9
B) 5
C) 3
D) 1
,,,,answer,,,,: A) 9
Rationale: 63 × 31 = 1,953. The hundreds place digit is 9.
9. Simplify the expression (2/3) ÷ (4/3) + (3/5) × (5/3)².
A) 13/6
B) 7/6
Questions and Answers
100% Pass
1. In the number 47,308, what is the value of the digit 7?
A) 700
B) 7,000
C) 70
D) 7
,,,,answer,,,,: B) 7,000
Rationale: Place value determines a digit's value by its position. The 7 is in the
thousands place, so its value is 7 × 1,000 = 7,000.
2. Round 6,748 to the nearest hundred.
A) 6,800
B) 6,700
C) 6,750
D) 7,000
,,,,answer,,,,: B) 6,700
,Rationale: To round to the nearest hundred, look at the tens digit. The tens digit of
6,748 is 4, which is less than 5, so the hundreds digit stays the same and the value
rounds down to 6,700.
3. Which fraction is equivalent to 0.75?
A) 1/4
B) 3/4
C) 7/5
D) 3/5
,,,,answer,,,,: B) 3/4
Rationale: The decimal 0.75 means 75 hundredths, or 75/100. Simplifying 75/100 by
dividing both numerator and denominator by 25 gives 3/4.
4. What is 2/3 + 1/6?
A) 3/9
B) 5/6
C) 1/2
D) 3/6
,,,,answer,,,,: B) 5/6
Rationale: To add fractions, use a common denominator. The least common
denominator of 3 and 6 is 6, so 2/3 = 4/6. Then 4/6 + 1/6 = 5/6.
,5. A shirt originally priced at $40 is on sale for 25% off. What is the sale price?
A) $10
B) $30
C) $35
D) $25
,,,,answer,,,,: B) $30
Rationale: A 25% discount on $40 is 0.25 × $40 = $10. The sale price is $40 - $10 = $30.
6. What is the scientific notation of 674.9723?
A) 6.749723 × 10²
B) 6.749723 × 10⁴
C) 6.749723 × 10⁻²
D) 6.749723 × 10³
,,,,answer,,,,: A) 6.749723 × 10²
Rationale: Scientific notation requires a number between 1 and 10 multiplied by a
power of 10. 674.9723 = 6.749723 × 100 = 6.749723 × 10².
7. If the result of performing all four of the steps below is 28, what value was
chosen for b?
Step 1: Select a number, b
, Step 2: Divide b by 3
Step 3: Subtract 5 from the result
Step 4: Multiply the result by 7
A) 84
B) -3
C) 27
D) 63⅔
,,,,answer,,,,: C) 27
Rationale: Work backwards: 28 ÷ 7 = 4; 4 + 5 = 9; 9 × 3 = 27. So b = 27.
8. What is the digit in the hundreds place in the product of 63 × 31?
A) 9
B) 5
C) 3
D) 1
,,,,answer,,,,: A) 9
Rationale: 63 × 31 = 1,953. The hundreds place digit is 9.
9. Simplify the expression (2/3) ÷ (4/3) + (3/5) × (5/3)².
A) 13/6
B) 7/6
