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 3 consecutive odd numbers is 231. What is the largest of them?
- 2.The sum of two numbers is 92 and their difference is 38. What is the smaller number?
- 3.The sum of two numbers is 111 and their difference is 23. What is the larger number?
- 4.One number is 6 times another. Their difference is 140. What is the smaller number?
- 5.The sum of 4 consecutive even numbers is 68. What is the largest of them?
- 6.The sum of 4 consecutive numbers is 66. What is the largest of them?
- 7.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?
- 8.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
- 9.The sum of 3 consecutive even numbers is 72. What is the largest of them?
- 10.The sum of two numbers is 31 and their difference is 7. What is the larger number?
- 11.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
- 12.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
- 13.One number is 6 times another. Their difference is 100. What is the smaller number?
- 14.The sum of two numbers is 48 and their difference is 30. What is the larger number?
- 15.One number is 4 times another. Their difference is 21. What is the smaller number?
- 16.One number is 6 times another. Their difference is 200. What is the smaller number?
- 17.One number is 2 times another. Their difference is 21. What is the smaller number?
- 18.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
- 19.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
- 20.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
- 21.The sum of 3 consecutive numbers is 24. What is the largest of them?
- 22.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
- 23.The sum of two numbers is 29 and their difference is 27. What is the smaller number?
- 24.The sum of two numbers is 162 and their difference is 30. What is the smaller number?
- 25.The sum of 5 consecutive numbers is 260. What is the largest of them?
- 26.The sum of two numbers is 81 and their difference is 61. What is the smaller number?
- 27.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
- 28.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
- 29.One number is 6 times another. Their difference is 115. What is the smaller number?
- 30.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?
- 31.One number is 6 times another. Their difference is 120. What is the smaller number?
- 32.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
- 33.The sum of 3 consecutive numbers is 66. What is the largest of them?
- 34.The sum of 4 consecutive even numbers is 156. What is the largest of them?
- 35.The sum of 3 consecutive numbers is 90. What is the smallest of them?
- 36.The sum of 4 consecutive numbers is 154. What is the largest of them?
- 37.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
- 38.The sum of 3 consecutive numbers is 156. What is the smallest of them?
- 39.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
- 40.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
Answer key
- 79
- 27
- 67
- 28
- 20
- 18
- 89
- 67
- 26
- 19
- 37
- 26
- 20
- 39
- 7
- 40
- 21
- 43
- 39
- 38
- 9
- 49
- 1
- 66
- 54
- 10
- 14
- 28
- 23
- 69
- 24
- 34
- 23
- 42
- 29
- 40
- 18
- 51
- 45
- 35
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