2026/2027 Mathematics Exam Prep: 130
Multiple-Choice Questions with Answers &
Explanations | Algebra, Geometry, Statistics,
& Word Problems
Description:
Ace your 2026/2027 math placement test with 130 exam-style questions covering algebra,
geometry, statistics, probability, and real-world word problems. Includes detailed step-by-
step explanations for every answer. Perfect for SAT, ACT, GRE, GED, and college entrance
exam preparation.
Download now and boost your score!
, 2026/2027 Mathematics Practice Exam: 130 Questions & Answers
Mathematics Proficiency Examination
Academic Year: 2026/2027
Section 1: Arithmetic and Basic Operations
1. A vehicle is towed 12 miles to a repair shop. The towing service charges $3.50 per mile. What
is the total cost of the tow?
A. $12.00
B. $3.50
C. $42.00
D. $100.00
Answer: C
Explanation: Multiply the distance by the per-mile charge: 12 × $3.50 = $42.00.
2. A sales manager purchases antacid bottles by the gross (144 units). If the staff uses 3 bottles
per day, how many days will a full gross last?
A. 144 days
B. 3 days
C. 20 days
D. 48 days
Answer: D
Explanation: A gross equals 144 bottles. Divide total bottles by daily usage: 144 ÷ 3 = 48 days.
3. A waitress averages 12% of the food cost as tips. If she serves $375 worth of food in one
evening, what is her average tip earnings?
A. $37
B. $45
C. $42
D. $420
, Answer: B
Explanation: Multiply total sales by the tip percentage: $375 × 0.12 = $45.00.
4. How many square feet of carpet are required to cover a room that measures 12 feet by 12 feet?
A. 24
B. 120
C. 48
D. 144
Answer: D
Explanation: Square footage is found by multiplying length by width: 12 × 12 = 144 sq ft.
5. Joe earns an hourly wage of $8.15. His boss gives him a 7% raise. What is Joe’s new hourly
wage?
A. $0.57
B. $8.90
C. $8.72
D. $13.85
Answer: C
Explanation: Calculate the raise amount: $8.15 × 0.07 = $0.57. Add to original wage: $8.15 +
$0.57 = $8.72.
Section 2: Algebraic Reasoning and Number Problems
6. The sum of two numbers is 70. One number is 8 more than the other. What is the smaller
number?
A. 31
B. 33
C. 35
D. 36
, Answer: A
Explanation: Let x = the smaller number. Then x + (x + 8) = 70 → 2x + 8 = 70 → 2x = 62 → x
= 31.
7. Jenny’s test grades are 93, 89, 96, and 98. To raise her average to exactly 95, what score does
she need on her next test?
A. 100
B. 99
C. 97
D. 95
Answer: B
Explanation: Let x = the next score. (93 + 89 + 96 + 98 + x) / 5 = 95 → (376 + x) = 475 → x =
99.
8. A carpenter earns $12.30 per hour for a standard 40-hour week. Overtime is paid at 1.5 times
the base rate. If she works 46 hours in a week, what is her total weekly pay?
A. $602.70
B. $492.00
C. $565.80
D. $110.70
Answer: A
Explanation: Base pay: $12.30 × 40 = $492. Overtime rate: $12.30 × 1.5 = $18.45. Overtime
pay: $18.45 × 6 = $110.70. Total: $492 + $110.70 = $602.70.
9. The population of a city grew by 600,000 people over a decade. This was one-fifth more than
the town council had predicted. What was the council’s original population growth prediction?
A. 400,000
B. 500,000
C. 300,000
Multiple-Choice Questions with Answers &
Explanations | Algebra, Geometry, Statistics,
& Word Problems
Description:
Ace your 2026/2027 math placement test with 130 exam-style questions covering algebra,
geometry, statistics, probability, and real-world word problems. Includes detailed step-by-
step explanations for every answer. Perfect for SAT, ACT, GRE, GED, and college entrance
exam preparation.
Download now and boost your score!
, 2026/2027 Mathematics Practice Exam: 130 Questions & Answers
Mathematics Proficiency Examination
Academic Year: 2026/2027
Section 1: Arithmetic and Basic Operations
1. A vehicle is towed 12 miles to a repair shop. The towing service charges $3.50 per mile. What
is the total cost of the tow?
A. $12.00
B. $3.50
C. $42.00
D. $100.00
Answer: C
Explanation: Multiply the distance by the per-mile charge: 12 × $3.50 = $42.00.
2. A sales manager purchases antacid bottles by the gross (144 units). If the staff uses 3 bottles
per day, how many days will a full gross last?
A. 144 days
B. 3 days
C. 20 days
D. 48 days
Answer: D
Explanation: A gross equals 144 bottles. Divide total bottles by daily usage: 144 ÷ 3 = 48 days.
3. A waitress averages 12% of the food cost as tips. If she serves $375 worth of food in one
evening, what is her average tip earnings?
A. $37
B. $45
C. $42
D. $420
, Answer: B
Explanation: Multiply total sales by the tip percentage: $375 × 0.12 = $45.00.
4. How many square feet of carpet are required to cover a room that measures 12 feet by 12 feet?
A. 24
B. 120
C. 48
D. 144
Answer: D
Explanation: Square footage is found by multiplying length by width: 12 × 12 = 144 sq ft.
5. Joe earns an hourly wage of $8.15. His boss gives him a 7% raise. What is Joe’s new hourly
wage?
A. $0.57
B. $8.90
C. $8.72
D. $13.85
Answer: C
Explanation: Calculate the raise amount: $8.15 × 0.07 = $0.57. Add to original wage: $8.15 +
$0.57 = $8.72.
Section 2: Algebraic Reasoning and Number Problems
6. The sum of two numbers is 70. One number is 8 more than the other. What is the smaller
number?
A. 31
B. 33
C. 35
D. 36
, Answer: A
Explanation: Let x = the smaller number. Then x + (x + 8) = 70 → 2x + 8 = 70 → 2x = 62 → x
= 31.
7. Jenny’s test grades are 93, 89, 96, and 98. To raise her average to exactly 95, what score does
she need on her next test?
A. 100
B. 99
C. 97
D. 95
Answer: B
Explanation: Let x = the next score. (93 + 89 + 96 + 98 + x) / 5 = 95 → (376 + x) = 475 → x =
99.
8. A carpenter earns $12.30 per hour for a standard 40-hour week. Overtime is paid at 1.5 times
the base rate. If she works 46 hours in a week, what is her total weekly pay?
A. $602.70
B. $492.00
C. $565.80
D. $110.70
Answer: A
Explanation: Base pay: $12.30 × 40 = $492. Overtime rate: $12.30 × 1.5 = $18.45. Overtime
pay: $18.45 × 6 = $110.70. Total: $492 + $110.70 = $602.70.
9. The population of a city grew by 600,000 people over a decade. This was one-fifth more than
the town council had predicted. What was the council’s original population growth prediction?
A. 400,000
B. 500,000
C. 300,000
