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.The sum of two numbers is 103 and their difference is 95. What is the smaller number?
- 2.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?
- 3.One number is 3 times another. Their difference is 10. What is the smaller number?
- 4.The sum of 5 consecutive numbers is 250. What is the smallest of them?
- 5.One number is 3 times another. Their difference is 52. What is the smaller number?
- 6.The sum of two numbers is 85 and their difference is 21. What is the smaller number?
- 7.The sum of two numbers is 95 and their difference is 17. What is the smaller number?
- 8.The sum of 4 consecutive even numbers is 284. What is the largest of them?
- 9.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?
- 10.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
- 11.The sum of 3 consecutive numbers is 33. What is the largest of them?
- 12.The sum of 4 consecutive even numbers is 140. What is the largest of them?
- 13.One number is 6 times another. Their difference is 135. What is the smaller number?
- 14.One number is 5 times another. Their difference is 52. What is the smaller number?
- 15.One number is 2 times another. Their difference is 6. What is the smaller number?
- 16.The sum of two numbers is 73 and their difference is 57. What is the larger number?
- 17.One number is 5 times another. Their difference is 24. What is the smaller number?
- 18.One number is 4 times another. Their difference is 45. What is the smaller number?
- 19.The sum of two numbers is 25 and their difference is 11. What is the larger number?
- 20.One number is 5 times another. Their difference is 44. What is the smaller number?
- 21.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
- 22.The sum of two numbers is 106 and their difference is 58. What is the larger number?
- 23.The sum of 4 consecutive numbers is 202. What is the largest of them?
- 24.The sum of two numbers is 40 and their difference is 20. What is the smaller number?
- 25.One number is 5 times another. Their difference is 64. What is the smaller number?
- 26.One number is 6 times another. Their difference is 180. What is the smaller number?
- 27.The sum of 4 consecutive numbers is 130. 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 20 and their difference is 12. What is the smaller number?
- 30.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
- 31.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
- 32.The sum of 4 consecutive numbers is 38. What is the smallest of them?
- 33.The sum of 4 consecutive numbers is 82. What is the smallest of them?
- 34.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
- 35.The sum of two numbers is 97 and their difference is 71. What is the smaller number?
- 36.The sum of 3 consecutive numbers is 165. What is the largest of them?
- 37.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
- 38.One number is 4 times another. Their difference is 66. What is the smaller number?
- 39.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?
- 40.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
Answer key
- 4
- 89
- 5
- 48
- 26
- 32
- 39
- 74
- 35
- 13
- 12
- 38
- 27
- 13
- 6
- 65
- 6
- 15
- 18
- 11
- 24
- 82
- 52
- 10
- 16
- 36
- 34
- 7
- 4
- 39
- 22
- 8
- 19
- 15
- 13
- 56
- 63
- 22
- 67
- 13
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