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 56. What is the smallest of them?
- 2.One number is 6 times another. Their difference is 200. What is the smaller number?
- 3.One number is 5 times another. Their difference is 68. What is the smaller number?
- 4.One number is 4 times another. Their difference is 117. What is the smaller number?
- 5.The sum of 3 consecutive numbers is 105. What is the smallest of them?
- 6.One number is 2 times another. Their difference is 26. What is the smaller number?
- 7.One number is 5 times another. Their difference is 92. What is the smaller number?
- 8.The sum of 4 consecutive numbers is 78. What is the largest of them?
- 9.One number is 6 times another. Their difference is 85. What is the smaller number?
- 10.One number is 4 times another. Their difference is 120. What is the smaller number?
- 11.The sum of 3 consecutive numbers is 180. What is the largest of them?
- 12.One number is 5 times another. Their difference is 48. What is the smaller number?
- 13.One number is 3 times another. Their difference is 38. What is the smaller number?
- 14.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
- 15.The sum of 5 consecutive numbers is 200. What is the largest of them?
- 16.The sum of two numbers is 91 and their difference is 55. What is the smaller number?
- 17.The sum of 4 consecutive numbers is 50. What is the smallest of them?
- 18.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
- 19.One number is 3 times another. Their difference is 78. What is the smaller number?
- 20.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?
- 21.The sum of two numbers is 46 and their difference is 42. What is the larger number?
- 22.The sum of two numbers is 45 and their difference is 39. What is the smaller number?
- 23.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?
- 24.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?
- 25.The sum of 5 consecutive numbers is 305. What is the largest of them?
- 26.The sum of two numbers is 86 and their difference is 4. What is the larger number?
- 27.The sum of 3 consecutive numbers is 72. What is the smallest of them?
- 28.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
- 29.The sum of 5 consecutive numbers is 185. What is the largest of them?
- 30.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?
- 31.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
- 32.One number is 6 times another. Their difference is 115. What is the smaller number?
- 33.The sum of 3 consecutive numbers is 33. What is the largest of them?
- 34.The sum of 4 consecutive even numbers is 76. What is the largest of them?
- 35.One number is 5 times another. Their difference is 88. What is the smaller number?
- 36.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
- 37.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
- 38.One number is 6 times another. Their difference is 130. What is the smaller number?
- 39.The sum of 3 consecutive numbers is 81. What is the smallest of them?
- 40.The sum of two numbers is 72 and their difference is 58. What is the smaller number?
Answer key
- 11
- 40
- 17
- 39
- 34
- 26
- 23
- 21
- 17
- 40
- 61
- 12
- 19
- 38
- 42
- 18
- 11
- 29
- 39
- 18
- 44
- 3
- 39
- 36
- 63
- 45
- 23
- 43
- 39
- 78
- 42
- 23
- 12
- 22
- 22
- 77
- 57
- 26
- 26
- 7
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