1. Logic Number Problems Grades 4 - 8 Puzzles 26 - 53 + 2 Challenge Puzzles

2. It is a six-digit whole number. It has only two different digits, each used three times. The product of its ones digit and its hundred thousands digit is 8. It is an odd number. The quotient of its tens digit and its hundred thousands digit is 1. The sum of its thousands digit and its tens digit is 9. The difference between its thousands digit and its hundreds digit is 0. The difference between its ten thousands digit and its ones digit is 7. The sum of its thousands digit and its hundreds digit is 2. Its hundred thousands digit is 8. Puzzle #26

3. Puzzle #27 It is a six-digit whole number. Its only digits are 0 and 1. The sum of all of its digits is 4. It is divisible by 2. The sum of its hundreds digit, its tens digit, and its ones digit is 2. The quotient of its thousands digit and its hundreds digit is 1. It is greater than 100,000. The sum of its hundred thousands digit, its ten thousands digit and its thousands digit is 2. Its tens digit is 1. Its ten thousands digit is 0.

4. Puzzle #28 It is a four-digit whole number. Each of its digits is different. The product of all of its digits is 64. Its thousands digit is odd. Its hundreds digit is the product of its tens digit and its ones digit. It is an even number. Its tens digit is less than its ones digit. The sum of all of its digits is 15. Its ones digit is 4. Its thousands digit is 1.

5. Puzzle #29 It is a three-digit whole number. Its tens digit is its largest digit. The difference between its tens digit and its hundreds digit is 3. Its ones digit is its only digit that is not divisible by 3. Its hundreds digit is one-half of its tens digit. It has a remainder of 1 when it is divided by 7. It is an odd number. The difference between its ones digit and its hundreds digit is 2. It is divisible by 5. Its tens digit is 6.

6. Puzzle #30 It is a three-digit whole number. The product of all of its digits is 12. The product of two of its digits is 6. Two of its digits are even. It is an odd number. It is less than 600. Its odd digit is its greatest digit. It is greater than 200. Two of its digits are the same. Its ones digit is 3.

7. Puzzle #31 It is a six-digit whole number. It has only one even digit. It has only one odd digit. It is an odd number. It is less than 300,000. It is greater than 280,000. The quotient of its hundreds digit and its ones digit is 1. Its digits alternate. The difference between its ten thousands digit and its tens digit is 7. It thousands digit is 2.

8. Puzzle #32 It is a four-digit whole number. Its ones digit is an odd number. Its hundreds digit is one-third of its ones digit. The product of all of its digits is 0. Its thousands digit is the sum of its hundreds digit and its ones digit. It has only two odd digits. It is less than 5,000. The sum of all of its digits is 8. Its tens digit is 0. Its ones digit is 3.

9. Puzzle #33 It is a four-digit whole number. It is less than 2,000. Each digit is less than the digit to its right. Its tens digit is the sum of its thousands digit and its hundreds digit. Its ones digit is the sum of its hundreds digit and its tens digit. The product of its thousands digit and its ones digit is 7. It has three odd digits. The product of its thousands digit and its tens digit is 4. Its ones digit is 7. Its hundreds digit is 3.

10. Puzzle #34 It is a four-digit whole number. The product of its hundreds digit and its ones digit is 0. The product of its thousands digit and its tens digit is 5. The product of its tens digit and its ones digit is 35. It is an odd number Its tens digit is less than its ones digit. The difference between its tens digit and its hundreds digit is 5. It is less than 2,000 Its ones digit is 7.

11. Puzzle #35 It is a three-digit whole number. None of its digits are the same. One of its digits differs from each of its other two digits by 1. Its ones digit is its smallest digit. The difference between its tens digit and its ones digit is 2. The product of its smallest digit and its largest digit is 24. It has two even digits. It is greater than 500. Its ones digit is 4. Its tens digit is 6.

12. Puzzle #36 It is a three-digit whole number. Its remainder is 3 if it is divided by 5. Its hundreds digit is a divisor of 14. Its tens digit is 1 more than a multiple of 5. It has no odd digits. Its tens digit is the difference between its ones digit and its hundreds digit. It is less than 700. The sum of all of its digits is 16. Its ones digit is 8. Its tens digit is 6.

13. Puzzle #37 It is a five digit whole number. It is divisible by 2. It is greater than 40,000. It is less than 44,000. None of its digits are odd. It has only two different digits. The sum of all of its digits is 8. Its tens digit is less than its ones digit. Its thousands digit is the sum of its hundreds digit and its tens digit. Its hundreds digit is 0.

14. Puzzle #38 It is a four-digit whole number. Its hundreds digit has exactly two factors. Its thousands digit has exactly one factor. Its ones digit has exactly four factors. Its tens digit is the product of its thousands digit and its hundreds digit. The sum of all of its digits is greater than 22. It has only one even digit. Two of its digits are the same. Its ones digit is the sum of two of its other digits. Its ones digit is 8.

15. Puzzle #39 It is a It is a four-digit whole number. It is a multiple of 25. Its thousands digit is 3 more than its ones digit. Its hundreds digit is 2 less than its tens digit. Each of the digits is different. Three of its digits are multiples of 2. It has only one odd digit. Its hundreds digit is its smallest digit. Its largest digit is 8. Its tens digit is 2.

16. Puzzle #40 It is a five-digit whole number. Its hundreds digit and its tens digit are the same. Its ten thousands digit and its ones digit are the same. It has only one 4. The sum of its hundreds digit and its ten thousands digit is 8. The product of its thousands digit and its hundreds digit is 0. All of its digits are even. Its ones digit is twice its thousands digit. Its tens digit is 0. Its thousands digit is 4.

17. Puzzle #41 It is a six-digit whole number. It has only two different digits, each used three times. The product of its hundred thousands digit and its hundreds digit is 12. It is greater than 500,000. The sum of its thousands digit and its hundreds digit is 8. The difference between its hundreds digit and its ones digit is 0. The quotient of its thousands digit and its tens digit is 1. The product of its ten thousands digit and its ones digit is 4. The difference between its thousands digit and its ones digit is 4. Its hundreds digit is 2.

18. Puzzle #42 It is a six-digit whole number. Its only digits are 0 and 2. The sum of all of its digits is 8. It is divisible by 5. The product of its hundred thousands digit and its tens digit divided by its thousands digit is 2. The sum of its thousands digit and its hundreds digit is 2. It is greater than 200,000. The sum of its hundred thousands digit, its ten thousands digit, and its thousands digit is 6. Its tens digit is 2. Its ones digit is 0.

19. Puzzle #43 It is a four-digit whole number. It has three different digits. The product of all of its digits is 81. Its hundreds digit is greater than 4. It is an odd number. Its hundreds digit is the product of its tens digit and its ones digit. Its thousands digit is less than its hundreds digit. The sum of all of its digits is 16. Its hundreds digit is 9. Its tens digit is 3.

20. Puzzle #44 It is a three-digit whole number. Its hundreds digit is its largest digit. Its ones digit is its only digit that is not divisible by 3. None of its digits are 0. Its tens digit is one-third of its hundreds digit. It has a remainder of 2 when it is divided by 8. It is an even number. The difference between its ones digit and its tens digit is 5. The difference between its hundreds digit and its ones digit is 1. Its tens digit is 3.

21. Puzzle #45 It is a six-digit whole number. It has only one odd digit. It has only one even digit. It is greater than 580,000. It is less than 600,000. It is an even number. The quotient of its hundred thousands digit and its tens digit is 1. Its digits alternate. The sum of its ten thousands digit and its thousands digit is 13. Its hundreds digit is 8.

22. Puzzle #46 It is a four-digit whole number. Its ones digit is an odd number. Its tens digit is one-fourth of its thousands digit. The product of all of its digits is 0. Its ones digits is less than its tens digit. The sum of all of its digits is 11. It is greater than 8,000. It has only one odd digit. Its hundreds digit is 0. Its tens digit is 2.

23. Puzzle #47 It is a four-digit whole number. Each digit is greater than the digit to its right. It is greater than 9,000. Its thousands digit is the sum of its hundreds digit and its tens digit. It is an odd number. Its tens digit is the difference between its hundreds digit and its ones digit. It has only one even digit. The product of its hundreds digit and its ones digit is 5. Its ones digit is 1. Its tens digit is 4.

24. Puzzle #48 It is a four-digit whole number. The product of its thousands digit and its hundreds digit is 3. The product of its tens digit and its ones digit is 0. The product of its thousands digit and its ones digit is 24. It is an even number. Its hundreds digit is greater than its tens digit. Its hundreds digit is less than its ones digit. The difference between its thousands digit and its tens digit is 3. Its ones digit is 8. Its hundreds digit is 1.

25. Puzzle #49 It is a three-digit whole number. All of its digits are different. One of its digits differs from each of its other two digits by 1. Its tens digit is its smallest digit. The difference between its ones digit and its tens digit is 2. The sum of its largest digit and its smallest digit is 12. It has two odd digits. It is greater than 600. Its ones digit is 7. Its tens digit is 5.

26. Puzzle #50 It is a three-digit whole number. Its remainder is 4 if it is divided by 5. Its tens digit is a divisor of 11. Its hundreds digit is 1 less than a multiple of 3. It has no even digits. Its hundreds digit is 4 less than its ones digit. The sum of all of its digits is 15. The product of its tens digit and its ones digit is 9. Its tens digit is 1. Its hundreds digit is 5.

27. Puzzle #51 It is a five-digit whole number. It is divisible by 5. It is less than 80,000. It is greater than 77,000. Its hundreds digit is the product of its tens digit and its ones digit. Non of its digits are even. It has only three different digits. Two of its digits have a difference of 2. Two of its digits have a difference of 4. Its tens digit is 1.

28. Puzzle #52 It is a four-digit whole number. Its ones digit has exactly two factors. Its tens digit has exactly one factor. Its hundreds digit has exactly three factors. Its thousands digit is the product of its hundreds digit and its tens digit. The sum of all of its digits is less than 12. It has only one odd digit. Two of its digits are the same. Its ones digit divides its thousands digit. Its tens digit is 1.

29. Puzzle #53 It is a four-digit whole number. It is a multiple of 25. Its hundreds digit is 2 more than its tens digit. Its thousands digit is 1 less than its tens digit. Two of its digits are multiples of 3. It has only one even digit. Its hundreds digit is its largest digit. Its thousands digit is not its smallest digit. Its smallest digit is 5. Its tens digit is 7.

30. Challenge Puzzle #1 It is a four-digit whole number. The product of all of its digits is 16. The product of two of its digits is 4. It is an even number. Its thousands digit and its ones digit are the same. Its hundreds digit and its tens digit are the same. The sum of three of its digits is 6. The product of three of its digits is 8. Its hundreds digit is 2. All of the digits are the same.

31. Challenge Puzzle #2 It is a four-digit whole number. The product of all of its digits is 24. The product of two of its digits is 4. It is an odd number. Its thousands digit and its hundreds digit are the same. The product of three of its digits is 12. The sum of three of its digits is 6. Its tens digit is less than its ones digit. Its hundreds digit is 2. Three of its digits are the same.