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 4 consecutive even numbers is 60. What is the smallest of them?
- 2.One number is 5 times another. Their difference is 96. What is the smaller number?
- 3.One number is 2 times another. Their difference is 34. What is the smaller number?
- 4.The sum of 4 consecutive numbers is 242. What is the largest of them?
- 5.The sum of 4 consecutive numbers is 178. What is the largest of them?
- 6.One number is 4 times another. Their difference is 96. What is the smaller number?
- 7.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
- 8.One number is 2 times another. Their difference is 3. What is the smaller number?
- 9.The sum of two numbers is 42 and their difference is 30. What is the smaller number?
- 10.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
- 11.The sum of two numbers is 124 and their difference is 70. What is the larger number?
- 12.The sum of 3 consecutive numbers is 75. What is the smallest of them?
- 13.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
- 14.One number is 5 times another. Their difference is 12. What is the smaller number?
- 15.One number is 5 times another. Their difference is 104. What is the smaller number?
- 16.One number is 5 times another. Their difference is 52. What is the smaller number?
- 17.The sum of two numbers is 39 and their difference is 27. What is the larger number?
- 18.The sum of 3 consecutive numbers is 63. What is the smallest of them?
- 19.One number is 2 times another. Their difference is 16. What is the smaller number?
- 20.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?
- 21.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?
- 22.The sum of 4 consecutive numbers is 218. What is the largest of them?
- 23.One number is 2 times another. Their difference is 38. What is the smaller number?
- 24.The sum of two numbers is 94 and their difference is 76. What is the smaller number?
- 25.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
- 26.The sum of 4 consecutive even numbers is 156. What is the largest of them?
- 27.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
- 28.One number is 2 times another. Their difference is 25. What is the smaller number?
- 29.The sum of 3 consecutive numbers is 54. What is the largest of them?
- 30.The sum of 3 consecutive numbers is 72. What is the smallest of them?
- 31.The sum of 5 consecutive numbers is 140. What is the smallest of them?
- 32.One number is 3 times another. Their difference is 34. What is the smaller number?
- 33.One number is 4 times another. Their difference is 36. What is the smaller number?
- 34.The sum of two numbers is 93 and their difference is 37. What is the larger number?
- 35.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
- 36.One number is 6 times another. Their difference is 90. What is the smaller number?
- 37.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
- 38.The sum of 5 consecutive numbers is 225. What is the smallest of them?
- 39.The sum of 3 consecutive numbers is 150. What is the smallest of them?
- 40.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
Answer key
- 12
- 24
- 34
- 62
- 46
- 32
- 46
- 3
- 6
- 25
- 97
- 24
- 71
- 3
- 26
- 13
- 33
- 20
- 16
- 69
- 57
- 56
- 38
- 9
- 81
- 42
- 26
- 25
- 19
- 23
- 26
- 17
- 12
- 65
- 36
- 18
- 56
- 43
- 49
- 58
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