MATHNASIUM JOB ASSESSMENT 2026/2027
STUDY GUIDE | VERIFIED PRACTICE
QUESTIONS & ANSWERS | COMPLETE
EMPLOYMENT TEST PREP
MATHNASIUM JOB ASSESSMENT 2026/2027 STUDY GUIDE
VERIFIED PRACTICE QUESTIONS & ANSWERS | COMPLETE EMPLOYMENT TEST
PREP
DOCUMENT OVERVIEW:
• This comprehensive study guide contains 200 verified practice questions designed
to prepare candidates for the Mathnasium employment assessment, covering
mathematical concepts, problem-solving skills, teaching aptitude, and customer
service scenarios essential for tutoring positions.
• Study this material by working through each question systematically, checking
your answers against the provided rationales, and identifying weak areas to
reinforce your understanding before the actual assessment.
1. What is the sum of 456 + 789?
A) 1,145
B) 1,245
C) 1,345
D) 1,445
E) 1,545
CORRECT ANSWER: B) 1,245
,Rationale: When adding 456 + 789, align the digits by place value. In the ones
place: 6 + 9 = 15 (write 5, carry 1). In the tens place: 5 + 8 + 1 = 14 (write 4, carry 1).
In the hundreds place: 4 + 7 + 1 = 12 (write 12). Therefore, 456 + 789 = 1,245.
2. A student scored 78, 85, and 92 on three tests. What is their average score?
A) 81
B) 82
C) 83
D) 84
E) 85
CORRECT ANSWER: E) 85
Rationale: To find the average, add all scores and divide by the number of scores:
(78 + 85 + 92) ÷ 3 = 255 ÷ 3 = 85. The average score is 85.
3. If x + 15 = 42, what is the value of x?
A) 25
B) 26
C) 27
D) 28
E) 29
CORRECT ANSWER: C) 27
Rationale: To solve for x, subtract 15 from both sides of the equation: x + 15 - 15 =
42 - 15, which gives x = 27. Verification: 27 + 15 = 42 ✓.
4. What is 25% of 200?
,A) 40
B) 45
C) 50
D) 55
E) 60
CORRECT ANSWER: C) 50
Rationale: To find 25% of 200, multiply 200 by 0.25 or divide by 4: 200 × 0.25 = 50.
Alternatively, 25% is one-quarter, and 200 ÷ 4 = 50.
5. What is the area of a rectangle with length 12 cm and width 8 cm?
A) 84 cm²
B) 90 cm²
C) 96 cm²
D) 100 cm²
E) 108 cm²
CORRECT ANSWER: C) 96 cm²
Rationale: The area of a rectangle is calculated using the formula A = length ×
width. Therefore, A = 12 × 8 = 96 cm².
6. Simplify the fraction 24/36:
A) 1/2
B) 2/3
C) 3/4
D) 4/5
E) 5/6
, CORRECT ANSWER: B) 2/3
Rationale: To simplify 24/36, find the greatest common divisor (GCD) of 24 and 36,
which is 12. Divide both numerator and denominator by 12: (24÷12)/(36÷12) = 2/3.
7. What is 3/4 + 1/8?
A) 4/12
B) 5/12
C) 6/8
D) 7/8
E) 8/8
CORRECT ANSWER: D) 7/8
Rationale: To add fractions, find a common denominator. The LCD of 4 and 8 is 8.
Convert 3/4 to 6/8, then 6/8 + 1/8 = 7/8.
8. What is 5² (5 squared)?
A) 10
B) 15
C) 20
D) 25
E) 30
CORRECT ANSWER: D) 25
Rationale: 5² means 5 × 5 = 25. Squaring a number means multiplying it by itself.
9. If a dozen eggs cost $3.60, what is the cost per egg?
A) $0.25
STUDY GUIDE | VERIFIED PRACTICE
QUESTIONS & ANSWERS | COMPLETE
EMPLOYMENT TEST PREP
MATHNASIUM JOB ASSESSMENT 2026/2027 STUDY GUIDE
VERIFIED PRACTICE QUESTIONS & ANSWERS | COMPLETE EMPLOYMENT TEST
PREP
DOCUMENT OVERVIEW:
• This comprehensive study guide contains 200 verified practice questions designed
to prepare candidates for the Mathnasium employment assessment, covering
mathematical concepts, problem-solving skills, teaching aptitude, and customer
service scenarios essential for tutoring positions.
• Study this material by working through each question systematically, checking
your answers against the provided rationales, and identifying weak areas to
reinforce your understanding before the actual assessment.
1. What is the sum of 456 + 789?
A) 1,145
B) 1,245
C) 1,345
D) 1,445
E) 1,545
CORRECT ANSWER: B) 1,245
,Rationale: When adding 456 + 789, align the digits by place value. In the ones
place: 6 + 9 = 15 (write 5, carry 1). In the tens place: 5 + 8 + 1 = 14 (write 4, carry 1).
In the hundreds place: 4 + 7 + 1 = 12 (write 12). Therefore, 456 + 789 = 1,245.
2. A student scored 78, 85, and 92 on three tests. What is their average score?
A) 81
B) 82
C) 83
D) 84
E) 85
CORRECT ANSWER: E) 85
Rationale: To find the average, add all scores and divide by the number of scores:
(78 + 85 + 92) ÷ 3 = 255 ÷ 3 = 85. The average score is 85.
3. If x + 15 = 42, what is the value of x?
A) 25
B) 26
C) 27
D) 28
E) 29
CORRECT ANSWER: C) 27
Rationale: To solve for x, subtract 15 from both sides of the equation: x + 15 - 15 =
42 - 15, which gives x = 27. Verification: 27 + 15 = 42 ✓.
4. What is 25% of 200?
,A) 40
B) 45
C) 50
D) 55
E) 60
CORRECT ANSWER: C) 50
Rationale: To find 25% of 200, multiply 200 by 0.25 or divide by 4: 200 × 0.25 = 50.
Alternatively, 25% is one-quarter, and 200 ÷ 4 = 50.
5. What is the area of a rectangle with length 12 cm and width 8 cm?
A) 84 cm²
B) 90 cm²
C) 96 cm²
D) 100 cm²
E) 108 cm²
CORRECT ANSWER: C) 96 cm²
Rationale: The area of a rectangle is calculated using the formula A = length ×
width. Therefore, A = 12 × 8 = 96 cm².
6. Simplify the fraction 24/36:
A) 1/2
B) 2/3
C) 3/4
D) 4/5
E) 5/6
, CORRECT ANSWER: B) 2/3
Rationale: To simplify 24/36, find the greatest common divisor (GCD) of 24 and 36,
which is 12. Divide both numerator and denominator by 12: (24÷12)/(36÷12) = 2/3.
7. What is 3/4 + 1/8?
A) 4/12
B) 5/12
C) 6/8
D) 7/8
E) 8/8
CORRECT ANSWER: D) 7/8
Rationale: To add fractions, find a common denominator. The LCD of 4 and 8 is 8.
Convert 3/4 to 6/8, then 6/8 + 1/8 = 7/8.
8. What is 5² (5 squared)?
A) 10
B) 15
C) 20
D) 25
E) 30
CORRECT ANSWER: D) 25
Rationale: 5² means 5 × 5 = 25. Squaring a number means multiplying it by itself.
9. If a dozen eggs cost $3.60, what is the cost per egg?
A) $0.25
