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 4 times another. Their difference is 81. What is the smaller number?
- 2.The sum of 3 consecutive numbers is 135. What is the largest of them?
- 3.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?
- 4.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
- 5.The sum of 5 consecutive numbers is 185. What is the largest of them?
- 6.One number is 4 times another. Their difference is 114. What is the smaller number?
- 7.One number is 3 times another. Their difference is 44. What is the smaller number?
- 8.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
- 9.The sum of two numbers is 69 and their difference is 17. What is the larger number?
- 10.The sum of 4 consecutive numbers is 214. What is the smallest of them?
- 11.The sum of 3 consecutive numbers is 156. What is the largest of them?
- 12.One number is 5 times another. Their difference is 152. What is the smaller number?
- 13.One number is 2 times another. Their difference is 27. What is the smaller number?
- 14.The sum of 3 consecutive numbers is 84. What is the largest of them?
- 15.The sum of two numbers is 42 and their difference is 14. What is the larger number?
- 16.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?
- 17.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?
- 18.One number is 5 times another. Their difference is 156. What is the smaller number?
- 19.The sum of two numbers is 43 and their difference is 23. What is the smaller number?
- 20.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
- 21.One number is 6 times another. Their difference is 15. What is the smaller number?
- 22.The sum of 4 consecutive numbers is 218. What is the largest of them?
- 23.The sum of two numbers is 66 and their difference is 2. What is the larger number?
- 24.The sum of 4 consecutive numbers is 74. What is the smallest of them?
- 25.The sum of 3 consecutive even numbers is 42. What is the largest of them?
- 26.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
- 27.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?
- 28.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
- 29.The sum of two numbers is 49 and their difference is 37. What is the larger number?
- 30.The sum of 3 consecutive numbers is 36. What is the smallest of them?
- 31.The sum of 3 consecutive numbers is 117. What is the smallest of them?
- 32.The sum of two numbers is 99 and their difference is 63. What is the smaller number?
- 33.The sum of two numbers is 87 and their difference is 11. What is the smaller number?
- 34.The sum of 3 consecutive even numbers is 114. What is the largest of them?
- 35.One number is 5 times another. Their difference is 52. What is the smaller number?
- 36.One number is 5 times another. Their difference is 120. What is the smaller number?
- 37.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?
- 38.The sum of two numbers is 17 and their difference is 11. What is the larger number?
- 39.The sum of two numbers is 89 and their difference is 11. What is the larger number?
- 40.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
Answer key
- 27
- 46
- 78
- 27
- 39
- 38
- 22
- 81
- 43
- 52
- 53
- 38
- 27
- 29
- 28
- 89
- 48
- 39
- 10
- 41
- 3
- 56
- 34
- 17
- 16
- 39
- 69
- 30
- 43
- 11
- 38
- 18
- 38
- 40
- 13
- 30
- 46
- 14
- 50
- 24
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