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 odd numbers is 48. What is the largest of them?
- 2.The sum of two numbers is 90 and their difference is 80. What is the smaller number?
- 3.One number is 5 times another. Their difference is 52. What is the smaller number?
- 4.The sum of 4 consecutive even numbers is 236. What is the largest of them?
- 5.The sum of 4 consecutive numbers is 34. What is the largest of them?
- 6.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
- 7.The sum of 3 consecutive even numbers is 114. What is the largest of them?
- 8.The sum of 3 consecutive numbers is 138. What is the largest of them?
- 9.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?
- 10.The sum of 3 consecutive numbers is 153. What is the smallest of them?
- 11.The sum of two numbers is 69 and their difference is 59. What is the larger number?
- 12.The sum of two numbers is 117 and their difference is 37. What is the larger number?
- 13.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?
- 14.The sum of two numbers is 112 and their difference is 10. What is the smaller number?
- 15.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
- 16.The sum of 3 consecutive numbers is 72. What is the largest of them?
- 17.One number is 3 times another. Their difference is 36. What is the smaller number?
- 18.The sum of two numbers is 13 and their difference is 11. What is the smaller number?
- 19.The sum of two numbers is 27 and their difference is 11. What is the smaller number?
- 20.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
- 21.One number is 2 times another. Their difference is 13. What is the smaller number?
- 22.The sum of 3 consecutive numbers is 129. What is the smallest of them?
- 23.The sum of 3 consecutive even numbers is 210. What is the largest of them?
- 24.One number is 5 times another. Their difference is 64. What is the smaller number?
- 25.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?
- 26.The sum of 3 consecutive numbers is 81. What is the smallest of them?
- 27.The sum of 4 consecutive even numbers is 180. What is the largest of them?
- 28.One number is 4 times another. Their difference is 21. What is the smaller number?
- 29.The sum of two numbers is 67 and their difference is 41. What is the smaller number?
- 30.The sum of two numbers is 49 and their difference is 13. What is the larger number?
- 31.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
- 32.The sum of 4 consecutive numbers is 226. What is the largest of them?
- 33.The sum of 4 consecutive numbers is 26. What is the largest of them?
- 34.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
- 35.The sum of 4 consecutive numbers is 206. What is the smallest of them?
- 36.The sum of two numbers is 44 and their difference is 8. What is the larger number?
- 37.The sum of 4 consecutive numbers is 78. What is the smallest of them?
- 38.One number is 4 times another. Their difference is 72. What is the smaller number?
- 39.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
- 40.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
Answer key
- 15
- 5
- 13
- 62
- 10
- 43
- 40
- 47
- 89
- 50
- 64
- 77
- 18
- 51
- 35
- 25
- 18
- 1
- 8
- 47
- 13
- 42
- 72
- 16
- 78
- 26
- 48
- 7
- 13
- 31
- 14
- 58
- 8
- 75
- 50
- 26
- 18
- 24
- 28
- 17
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