Next Generation Arithmetic Practice Exam
Section 1: Operations with Whole Numbers and Fractions
1. 72 ÷ 8 =?
A. 8
B. 9
C. 10
D. 11
Rationale: Dividing 72 by 8 equals 9.
3 1
2. 4 + 8 =?
4
A. 12
5
B. 8
7
C. 8
3
D. 8
Rationale: Convert ¾ to 6/8, then add 1/8 → 7/8.
1
3. 2 3 × 3 =?
1
A. 5 3
1
B. 6 3
C. 7
D. 9
7 1
Rationale: Convert to improper fraction 3 × 3 = 7, or 6 3when rechecked.
2
4. Which fraction is equivalent to 3?
3
A. 4
4
B. 6
6
C. 10
3
D. 5
4
Rationale: Multiplying numerator and denominator by 2 gives 6.
Section 2: Operations with Decimals and Percents
,5. 12.5 + 3.25 =?
A. 15.25
B. 15.50
C. 16.00
D. 13.75
Rationale: Add decimals like whole numbers, keeping decimal points aligned.
6. 9.6 ÷ 0.8 =?
A. 1.2
B. 12
C. 0.12
D. 8.8
Rationale: Move decimal one place to the right → 96 ÷ 8 = 12.
7. What is 25% of 80?
A. 10
B. 15
C. 20
D. 25
Rationale: 25% means ¼ of 80 → 80 × 0.25 = 20.
8. 0.75 is equivalent to:
A. 75%
B. 0.075
C. 7.5%
D. 750%
Rationale: Move the decimal two places right → 0.75 = 75%.
Section 3: Applications and Problem Solving
9. A car travels 120 miles in 3 hours. What is its average speed?
A. 30 mph
B. 40 mph
C. 50 mph
D. 60 mph
Rationale: Speed = distance ÷ time → 120 ÷ 3 = 40.
, 10. A shirt costs $40 and is on sale for 25% off. What is the sale price?
A. $25
B. $30
C. $35
D. $28
Rationale: 25% × 40 = 10, so 40 − 10 = 30.
2
11. A recipe calls for 3cup of sugar. If you make half the recipe, how much sugar do you need?
1
A. 3
2
B. 6
1
C. 4
1
D. 2
2 2 1 1
Rationale: Half of 3 = 3 × 2 = 3.
12. The perimeter of a square is 24 cm. What is the length of one side?
A. 5 cm
B. 6 cm
C. 8 cm
D. 12 cm
Rationale: Perimeter = 4 × side → 24 ÷ 4 = 6.
13. A worker earns $12 per hour and works 35 hours a week. How much does she earn weekly?
A. $320
B. $420
C. $400
D. $380
Rationale: 12 × 35 = 420.
3
14. A container is 4full and holds 60 liters when full. How many liters are in the container?
A. 30
B. 40
C. 45
D. 50
3
Rationale: 4 × 60 = 45.
Section 1: Operations with Whole Numbers and Fractions
1. 72 ÷ 8 =?
A. 8
B. 9
C. 10
D. 11
Rationale: Dividing 72 by 8 equals 9.
3 1
2. 4 + 8 =?
4
A. 12
5
B. 8
7
C. 8
3
D. 8
Rationale: Convert ¾ to 6/8, then add 1/8 → 7/8.
1
3. 2 3 × 3 =?
1
A. 5 3
1
B. 6 3
C. 7
D. 9
7 1
Rationale: Convert to improper fraction 3 × 3 = 7, or 6 3when rechecked.
2
4. Which fraction is equivalent to 3?
3
A. 4
4
B. 6
6
C. 10
3
D. 5
4
Rationale: Multiplying numerator and denominator by 2 gives 6.
Section 2: Operations with Decimals and Percents
,5. 12.5 + 3.25 =?
A. 15.25
B. 15.50
C. 16.00
D. 13.75
Rationale: Add decimals like whole numbers, keeping decimal points aligned.
6. 9.6 ÷ 0.8 =?
A. 1.2
B. 12
C. 0.12
D. 8.8
Rationale: Move decimal one place to the right → 96 ÷ 8 = 12.
7. What is 25% of 80?
A. 10
B. 15
C. 20
D. 25
Rationale: 25% means ¼ of 80 → 80 × 0.25 = 20.
8. 0.75 is equivalent to:
A. 75%
B. 0.075
C. 7.5%
D. 750%
Rationale: Move the decimal two places right → 0.75 = 75%.
Section 3: Applications and Problem Solving
9. A car travels 120 miles in 3 hours. What is its average speed?
A. 30 mph
B. 40 mph
C. 50 mph
D. 60 mph
Rationale: Speed = distance ÷ time → 120 ÷ 3 = 40.
, 10. A shirt costs $40 and is on sale for 25% off. What is the sale price?
A. $25
B. $30
C. $35
D. $28
Rationale: 25% × 40 = 10, so 40 − 10 = 30.
2
11. A recipe calls for 3cup of sugar. If you make half the recipe, how much sugar do you need?
1
A. 3
2
B. 6
1
C. 4
1
D. 2
2 2 1 1
Rationale: Half of 3 = 3 × 2 = 3.
12. The perimeter of a square is 24 cm. What is the length of one side?
A. 5 cm
B. 6 cm
C. 8 cm
D. 12 cm
Rationale: Perimeter = 4 × side → 24 ÷ 4 = 6.
13. A worker earns $12 per hour and works 35 hours a week. How much does she earn weekly?
A. $320
B. $420
C. $400
D. $380
Rationale: 12 × 35 = 420.
3
14. A container is 4full and holds 60 liters when full. How many liters are in the container?
A. 30
B. 40
C. 45
D. 50
3
Rationale: 4 × 60 = 45.
