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 3 consecutive odd numbers is 45. What is the largest of them?
- 2.The sum of 3 consecutive numbers is 120. What is the largest of them?
- 3.One number is 4 times another. Their difference is 108. What is the smaller number?
- 4.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?
- 5.One number is 3 times another. Their difference is 72. What is the smaller number?
- 6.The sum of two numbers is 41 and their difference is 27. What is the larger number?
- 7.The sum of 3 consecutive even numbers is 234. What is the largest of them?
- 8.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?
- 9.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
- 10.The sum of 5 consecutive numbers is 160. What is the smallest of them?
- 11.The sum of 4 consecutive numbers is 150. What is the largest of them?
- 12.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
- 13.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
- 14.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
- 15.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
- 16.The sum of two numbers is 102 and their difference is 70. What is the larger number?
- 17.The sum of two numbers is 17 and their difference is 5. What is the smaller number?
- 18.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
- 19.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
- 20.The sum of 3 consecutive numbers is 99. What is the smallest of them?
- 21.One number is 6 times another. Their difference is 160. What is the smaller number?
- 22.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
- 23.The sum of 3 consecutive numbers is 129. What is the smallest of them?
- 24.The sum of two numbers is 143 and their difference is 1. What is the smaller number?
- 25.The sum of 5 consecutive numbers is 100. What is the smallest of them?
- 26.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
- 27.The sum of 3 consecutive numbers is 156. What is the largest of them?
- 28.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
- 29.One number is 2 times another. Their difference is 40. What is the smaller number?
- 30.The sum of 3 consecutive numbers is 141. What is the largest of them?
- 31.The sum of 3 consecutive numbers is 63. What is the largest of them?
- 32.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
- 33.One number is 4 times another. Their difference is 60. What is the smaller number?
- 34.The sum of two numbers is 42 and their difference is 22. What is the smaller number?
- 35.One number is 3 times another. Their difference is 24. What is the smaller number?
- 36.The sum of two numbers is 61 and their difference is 41. What is the smaller number?
- 37.The sum of two numbers is 114 and their difference is 54. What is the larger number?
- 38.The sum of 4 consecutive numbers is 62. What is the smallest of them?
- 39.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
- 40.The sum of 5 consecutive numbers is 165. What is the smallest of them?
Answer key
- 17
- 41
- 36
- 69
- 36
- 34
- 80
- 36
- 30
- 30
- 39
- 6
- 79
- 15
- 60
- 86
- 6
- 35
- 32
- 32
- 32
- 37
- 42
- 71
- 18
- 12
- 53
- 76
- 40
- 48
- 22
- 46
- 20
- 10
- 12
- 10
- 84
- 14
- 37
- 31
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