Number Problems Worksheet
The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).
NameDateTime takenScore ___ / 40
- 1.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
- 2.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
- 3.The sum of 4 consecutive numbers is 34. What is the largest of them?
- 4.The sum of 3 consecutive numbers is 177. What is the largest of them?
- 5.The sum of 5 consecutive numbers is 180. What is the smallest of them?
- 6.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
- 7.One number is 3 times another. Their difference is 38. What is the smaller number?
- 8.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
- 9.The sum of two numbers is 82 and their difference is 68. What is the smaller number?
- 10.One number is 3 times another. Their difference is 76. What is the smaller number?
- 11.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
- 12.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
- 13.One number is 3 times another. Their difference is 56. What is the smaller number?
- 14.One number is 6 times another. Their difference is 45. What is the smaller number?
- 15.The sum of 3 consecutive even numbers is 30. What is the largest of them?
- 16.The sum of 4 consecutive numbers is 66. What is the largest of them?
- 17.One number is 3 times another. Their difference is 18. What is the smaller number?
- 18.The sum of two numbers is 36 and their difference is 32. What is the smaller number?
- 19.The sum of two numbers is 132 and their difference is 4. What is the larger number?
- 20.The sum of 3 consecutive numbers is 18. What is the largest of them?
- 21.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
- 22.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
- 23.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
- 24.The sum of 3 consecutive numbers is 108. What is the smallest of them?
- 25.The sum of two numbers is 31 and their difference is 29. What is the smaller number?
- 26.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
- 27.One number is 2 times another. Their difference is 3. What is the smaller number?
- 28.One number is 3 times another. Their difference is 48. What is the smaller number?
- 29.The sum of two numbers is 14 and their difference is 12. What is the smaller number?
- 30.The sum of two numbers is 16 and their difference is 14. What is the smaller number?
- 31.The sum of 5 consecutive numbers is 45. What is the smallest of them?
- 32.The sum of 4 consecutive numbers is 70. What is the smallest of them?
- 33.The sum of 5 consecutive numbers is 75. What is the smallest of them?
- 34.One number is 2 times another. Their difference is 20. What is the smaller number?
- 35.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
- 36.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
- 37.The sum of 3 consecutive numbers is 168. What is the smallest of them?
- 38.The sum of two numbers is 163 and their difference is 7. What is the smaller number?
- 39.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
- 40.One number is 4 times another. Their difference is 12. What is the smaller number?
Answer key
- 15
- 7
- 10
- 60
- 34
- 41
- 19
- 71
- 7
- 38
- 78
- 53
- 28
- 9
- 12
- 18
- 9
- 2
- 68
- 7
- 23
- 56
- 16
- 35
- 1
- 13
- 3
- 24
- 1
- 1
- 7
- 16
- 13
- 20
- 69
- 29
- 55
- 78
- 37
- 4
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