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).
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- 1.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
- 2.One number is 2 times another. Their difference is 9. What is the smaller number?
- 3.The sum of two numbers is 74 and their difference is 6. What is the smaller number?
- 4.The sum of 3 consecutive numbers is 30. What is the smallest of them?
- 5.The sum of two numbers is 103 and their difference is 41. What is the larger number?
- 6.The sum of 3 consecutive numbers is 111. What is the smallest of them?
- 7.The sum of two numbers is 37 and their difference is 33. What is the smaller number?
- 8.One number is 4 times another. Their difference is 36. What is the smaller number?
- 9.The sum of 3 consecutive numbers is 54. What is the largest of them?
- 10.The sum of 5 consecutive numbers is 300. What is the smallest of them?
- 11.The sum of 5 consecutive numbers is 130. What is the largest of them?
- 12.One number is 5 times another. Their difference is 16. What is the smaller number?
- 13.The sum of 4 consecutive numbers is 138. What is the largest of them?
- 14.The sum of 4 consecutive even numbers is 100. What is the largest of them?
- 15.The sum of two numbers is 101 and their difference is 75. What is the larger number?
- 16.One number is 4 times another. Their difference is 12. What is the smaller number?
- 17.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
- 18.One number is 4 times another. Their difference is 45. What is the smaller number?
- 19.The sum of 4 consecutive numbers is 186. What is the smallest of them?
- 20.The sum of 5 consecutive numbers is 250. What is the largest of them?
- 21.The sum of two numbers is 46 and their difference is 40. What is the smaller number?
- 22.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
- 23.The sum of 4 consecutive numbers is 42. What is the smallest of them?
- 24.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?
- 25.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
- 26.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
- 27.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
- 28.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?
- 29.The sum of two numbers is 76 and their difference is 60. What is the smaller number?
- 30.The sum of 3 consecutive numbers is 144. What is the largest of them?
- 31.The sum of 5 consecutive numbers is 170. What is the smallest of them?
- 32.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
- 33.The sum of 3 consecutive even numbers is 144. What is the largest of them?
- 34.The sum of two numbers is 86 and their difference is 64. What is the smaller number?
- 35.One number is 5 times another. Their difference is 156. What is the smaller number?
- 36.The sum of 3 consecutive numbers is 30. What is the largest of them?
- 37.The sum of two numbers is 18 and their difference is 6. What is the larger number?
- 38.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
- 39.The sum of 3 consecutive numbers is 141. What is the smallest of them?
- 40.The sum of 5 consecutive numbers is 80. What is the smallest of them?
Answer key
- 30
- 9
- 34
- 9
- 72
- 36
- 2
- 12
- 19
- 58
- 28
- 4
- 36
- 28
- 88
- 4
- 59
- 15
- 45
- 52
- 3
- 57
- 9
- 57
- 79
- 61
- 46
- 89
- 8
- 49
- 32
- 48
- 50
- 11
- 39
- 11
- 12
- 35
- 46
- 14
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