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.One number is 6 times another. Their difference is 190. What is the smaller number?
- 2.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
- 3.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
- 4.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
- 5.The sum of 4 consecutive numbers is 178. What is the largest of them?
- 6.One number is 3 times another. Their difference is 46. What is the smaller number?
- 7.The sum of 4 consecutive even numbers is 204. What is the largest of them?
- 8.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
- 9.One number is 3 times another. Their difference is 40. What is the smaller number?
- 10.The sum of two numbers is 84 and their difference is 42. What is the smaller number?
- 11.One number is 4 times another. Their difference is 111. What is the smaller number?
- 12.The sum of 3 consecutive numbers is 168. What is the smallest of them?
- 13.The sum of 3 consecutive numbers is 129. What is the largest of them?
- 14.The sum of 3 consecutive numbers is 81. What is the smallest of them?
- 15.The sum of 3 consecutive numbers is 84. What is the largest of them?
- 16.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
- 17.One number is 2 times another. Their difference is 8. What is the smaller number?
- 18.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
- 19.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
- 20.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
- 21.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
- 22.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
- 23.The sum of two numbers is 55 and their difference is 27. What is the smaller number?
- 24.The sum of 3 consecutive numbers is 33. What is the largest of them?
- 25.The sum of two numbers is 15 and their difference is 9. What is the larger number?
- 26.The sum of two numbers is 87 and their difference is 11. What is the smaller number?
- 27.The sum of 5 consecutive numbers is 300. What is the largest of them?
- 28.The sum of two numbers is 37 and their difference is 27. What is the larger number?
- 29.The sum of 4 consecutive numbers is 178. What is the smallest of them?
- 30.The sum of 3 consecutive numbers is 165. What is the largest of them?
- 31.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?
- 32.The sum of 5 consecutive numbers is 185. What is the largest of them?
- 33.The sum of two numbers is 120 and their difference is 76. What is the smaller number?
- 34.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
- 35.One number is 2 times another. Their difference is 30. What is the smaller number?
- 36.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
- 37.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
- 38.The sum of 5 consecutive numbers is 90. What is the smallest of them?
- 39.The sum of 3 consecutive numbers is 51. What is the largest of them?
- 40.The sum of two numbers is 77 and their difference is 75. What is the larger number?
Answer key
- 38
- 13
- 15
- 19
- 46
- 23
- 54
- 29
- 20
- 21
- 37
- 55
- 44
- 26
- 29
- 34
- 8
- 62
- 68
- 29
- 9
- 89
- 14
- 12
- 12
- 38
- 62
- 32
- 43
- 56
- 56
- 39
- 22
- 57
- 30
- 12
- 51
- 16
- 18
- 76
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