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 numbers is 134. What is the smallest of them?
- 2.The sum of two numbers is 25 and their difference is 3. What is the larger number?
- 3.The sum of 4 consecutive numbers is 130. What is the largest of them?
- 4.The sum of two numbers is 111 and their difference is 47. What is the smaller number?
- 5.One number is 4 times another. Their difference is 30. What is the smaller number?
- 6.The sum of 3 consecutive numbers is 42. What is the largest of them?
- 7.The sum of two numbers is 98 and their difference is 68. What is the larger number?
- 8.The sum of 5 consecutive numbers is 235. What is the largest of them?
- 9.The sum of 5 consecutive numbers is 150. What is the smallest of them?
- 10.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
- 11.The sum of 5 consecutive numbers is 80. What is the smallest of them?
- 12.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
- 13.The sum of two numbers is 137 and their difference is 23. What is the smaller number?
- 14.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?
- 15.The sum of two numbers is 88 and their difference is 22. What is the smaller number?
- 16.The sum of two numbers is 82 and their difference is 52. What is the larger number?
- 17.One number is 5 times another. Their difference is 116. What is the smaller number?
- 18.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?
- 19.One number is 3 times another. Their difference is 18. What is the smaller number?
- 20.One number is 4 times another. Their difference is 108. What is the smaller number?
- 21.The sum of two numbers is 22 and their difference is 8. What is the smaller number?
- 22.The sum of 5 consecutive numbers is 45. What is the smallest of them?
- 23.The sum of 3 consecutive numbers is 114. What is the largest of them?
- 24.One number is 2 times another. Their difference is 13. What is the smaller number?
- 25.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
- 26.The sum of two numbers is 69 and their difference is 3. What is the larger number?
- 27.The sum of 3 consecutive numbers is 177. What is the smallest of them?
- 28.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?
- 29.The sum of two numbers is 131 and their difference is 49. What is the larger number?
- 30.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
- 31.The sum of two numbers is 121 and their difference is 33. What is the larger number?
- 32.One number is 2 times another. Their difference is 15. What is the smaller number?
- 33.The sum of two numbers is 75 and their difference is 55. What is the larger number?
- 34.One number is 5 times another. Their difference is 88. What is the smaller number?
- 35.The sum of 5 consecutive numbers is 35. What is the smallest of them?
- 36.The sum of two numbers is 145 and their difference is 35. What is the larger number?
- 37.The sum of 4 consecutive numbers is 78. What is the largest of them?
- 38.The sum of 4 consecutive even numbers is 52. What is the largest of them?
- 39.The sum of two numbers is 97 and their difference is 79. What is the smaller number?
- 40.The sum of 3 consecutive numbers is 141. What is the largest of them?
Answer key
- 32
- 14
- 34
- 32
- 10
- 15
- 83
- 49
- 28
- 19
- 14
- 17
- 57
- 67
- 33
- 67
- 29
- 78
- 9
- 36
- 7
- 7
- 39
- 13
- 13
- 36
- 58
- 56
- 90
- 14
- 77
- 15
- 65
- 22
- 5
- 90
- 21
- 16
- 9
- 48
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