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 even numbers is 316. What is the largest of them?
- 2.The sum of 5 consecutive numbers is 110. What is the smallest of them?
- 3.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
- 4.The sum of 4 consecutive numbers is 186. What is the smallest of them?
- 5.The sum of 4 consecutive numbers is 122. What is the largest of them?
- 6.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
- 7.The sum of two numbers is 107 and their difference is 1. What is the larger number?
- 8.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?
- 9.The sum of 3 consecutive numbers is 66. What is the smallest of them?
- 10.One number is 5 times another. Their difference is 144. What is the smaller number?
- 11.One number is 4 times another. Their difference is 9. What is the smaller number?
- 12.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
- 13.The sum of 4 consecutive even numbers is 60. What is the largest of them?
- 14.One number is 3 times another. Their difference is 38. What is the smaller number?
- 15.The sum of 3 consecutive numbers is 153. What is the smallest of them?
- 16.One number is 4 times another. Their difference is 54. What is the smaller number?
- 17.The sum of 3 consecutive numbers is 156. What is the smallest of them?
- 18.One number is 2 times another. Their difference is 14. What is the smaller number?
- 19.One number is 2 times another. Their difference is 40. What is the smaller number?
- 20.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
- 21.The sum of 4 consecutive numbers is 126. What is the largest of them?
- 22.The sum of 5 consecutive numbers is 90. What is the smallest of them?
- 23.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
- 24.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?
- 25.The sum of two numbers is 14 and their difference is 6. What is the smaller number?
- 26.The sum of 4 consecutive numbers is 54. What is the smallest of them?
- 27.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
- 28.One number is 3 times another. Their difference is 10. What is the smaller number?
- 29.The sum of two numbers is 64 and their difference is 48. What is the larger number?
- 30.The sum of 3 consecutive numbers is 45. What is the smallest of them?
- 31.The sum of two numbers is 43 and their difference is 27. What is the smaller number?
- 32.One number is 3 times another. Their difference is 30. What is the smaller number?
- 33.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
- 34.The sum of two numbers is 39 and their difference is 5. What is the larger number?
- 35.The sum of two numbers is 135 and their difference is 31. What is the larger number?
- 36.One number is 4 times another. Their difference is 72. What is the smaller number?
- 37.The sum of two numbers is 74 and their difference is 56. What is the smaller number?
- 38.One number is 2 times another. Their difference is 18. What is the smaller number?
- 39.One number is 5 times another. Their difference is 132. What is the smaller number?
- 40.The sum of 4 consecutive numbers is 70. What is the largest of them?
Answer key
- 82
- 20
- 63
- 45
- 32
- 62
- 54
- 18
- 21
- 36
- 3
- 68
- 18
- 19
- 50
- 18
- 51
- 14
- 40
- 12
- 33
- 16
- 38
- 57
- 4
- 12
- 73
- 5
- 56
- 14
- 8
- 15
- 23
- 22
- 83
- 24
- 9
- 18
- 33
- 19
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