FTCE K–6 Mathematics Exam 2026/2027 | 500+ Questions,
Correct Answers & Detailed Rationales
Questions 1–50: Number Sense & Place Value
1. What is the value of the digit 7 in 5,734,219?
A. 7,000
B. 70,000
C. 700,000
D. 7,000,000
Answer: B
Rationale: The 7 is in the hundred-thousands? Let's identify the places:
5,734,219 = 5 million, 7 hundred-thousand, 3 ten-thousand, 4
thousand. Therefore its value is 700,000, so C is correct.
2. Which number is greatest?
A. 0.507
B. 0.57
C. 0.057
D. 0.705
Answer: D
Rationale: Writing the decimals to three places gives 0.507, 0.570,
0.057, and 0.705. Therefore 0.705 is greatest.
3. What is 4,000 + 600 + 30 + 8 written in standard form?
A. 4,638
B. 4,683
C. 4,368
D. 4,836
,Answer: A
Rationale: Combining the place values gives 4,638.
4. Which number is equivalent to 3 × 10⁴ + 5 × 10² + 7?
A. 30,507
B. 35,007
C. 30,507
D. 30,057
Answer: A
Rationale: 3 × 10,000 = 30,000; 5 × 100 = 500; plus 7 gives 30,507.
5. Round 8,649 to the nearest hundred.
A. 8,600
B. 8,650
C. 8,700
D. 9,000
Answer: C
Rationale: The tens digit is 4, so the hundreds digit remains 6. Thus
8,649 rounds to 8,600, not 8,700. A is correct.
6. Which fraction is equivalent to 3/4?
A. 6/10
B. 9/12
C. 12/20
D. 15/24
Answer: B
Rationale: Multiplying numerator and denominator of 3/4 by 3 gives
9/12.
7. What is 0.25 as a fraction in simplest form?
A. 1/2
,B. 1/3
C. 1/4
D. 2/5
Answer: C
Rationale: 0.25 = 25/100 = 1/4 after simplifying.
8. Which decimal represents 7/10?
A. 0.07
B. 0.7
C. 0.70
D. Both B and C
Answer: D
Rationale: 7/10 equals 0.7, and trailing zeros do not change a decimal's
value, so 0.70 is also equivalent.
9. Which number is prime?
A. 21
B. 27
C. 29
D. 33
Answer: C
Rationale: 29 has exactly two factors: 1 and 29.
10. What is the greatest common factor of 18 and 24?
A. 3
B. 6
C. 8
D. 12
Answer: B
Rationale: Common factors are 1, 2, 3, and 6. The greatest is 6.
, 11. What is the least common multiple of 4 and 6?
A. 8
B. 10
C. 12
D. 24
Answer: C
Rationale: Multiples of 4 include 4, 8, 12; multiples of 6 include 6, 12.
Thus the LCM is 12.
12. Which number is divisible by 3?
A. 124
B. 215
C. 327
D. 401
Answer: C
Rationale: The digits of 327 sum to 12, which is divisible by 3.
13. What is 5²?
A. 10
B. 15
C. 20
D. 25
Answer: D
Rationale: 5² means 5 × 5 = 25.
14. Which is an even number?
A. 317
B. 425
C. 538
D. 711
Correct Answers & Detailed Rationales
Questions 1–50: Number Sense & Place Value
1. What is the value of the digit 7 in 5,734,219?
A. 7,000
B. 70,000
C. 700,000
D. 7,000,000
Answer: B
Rationale: The 7 is in the hundred-thousands? Let's identify the places:
5,734,219 = 5 million, 7 hundred-thousand, 3 ten-thousand, 4
thousand. Therefore its value is 700,000, so C is correct.
2. Which number is greatest?
A. 0.507
B. 0.57
C. 0.057
D. 0.705
Answer: D
Rationale: Writing the decimals to three places gives 0.507, 0.570,
0.057, and 0.705. Therefore 0.705 is greatest.
3. What is 4,000 + 600 + 30 + 8 written in standard form?
A. 4,638
B. 4,683
C. 4,368
D. 4,836
,Answer: A
Rationale: Combining the place values gives 4,638.
4. Which number is equivalent to 3 × 10⁴ + 5 × 10² + 7?
A. 30,507
B. 35,007
C. 30,507
D. 30,057
Answer: A
Rationale: 3 × 10,000 = 30,000; 5 × 100 = 500; plus 7 gives 30,507.
5. Round 8,649 to the nearest hundred.
A. 8,600
B. 8,650
C. 8,700
D. 9,000
Answer: C
Rationale: The tens digit is 4, so the hundreds digit remains 6. Thus
8,649 rounds to 8,600, not 8,700. A is correct.
6. Which fraction is equivalent to 3/4?
A. 6/10
B. 9/12
C. 12/20
D. 15/24
Answer: B
Rationale: Multiplying numerator and denominator of 3/4 by 3 gives
9/12.
7. What is 0.25 as a fraction in simplest form?
A. 1/2
,B. 1/3
C. 1/4
D. 2/5
Answer: C
Rationale: 0.25 = 25/100 = 1/4 after simplifying.
8. Which decimal represents 7/10?
A. 0.07
B. 0.7
C. 0.70
D. Both B and C
Answer: D
Rationale: 7/10 equals 0.7, and trailing zeros do not change a decimal's
value, so 0.70 is also equivalent.
9. Which number is prime?
A. 21
B. 27
C. 29
D. 33
Answer: C
Rationale: 29 has exactly two factors: 1 and 29.
10. What is the greatest common factor of 18 and 24?
A. 3
B. 6
C. 8
D. 12
Answer: B
Rationale: Common factors are 1, 2, 3, and 6. The greatest is 6.
, 11. What is the least common multiple of 4 and 6?
A. 8
B. 10
C. 12
D. 24
Answer: C
Rationale: Multiples of 4 include 4, 8, 12; multiples of 6 include 6, 12.
Thus the LCM is 12.
12. Which number is divisible by 3?
A. 124
B. 215
C. 327
D. 401
Answer: C
Rationale: The digits of 327 sum to 12, which is divisible by 3.
13. What is 5²?
A. 10
B. 15
C. 20
D. 25
Answer: D
Rationale: 5² means 5 × 5 = 25.
14. Which is an even number?
A. 317
B. 425
C. 538
D. 711
