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.One number is 4 times another. Their difference is 39. What is the smaller number?
- 2.The sum of 3 consecutive numbers is 135. What is the largest of them?
- 3.One number is 2 times another. Their difference is 8. What is the smaller number?
- 4.The sum of 5 consecutive numbers is 90. What is the smallest of them?
- 5.The sum of 5 consecutive numbers is 120. What is the largest of them?
- 6.The sum of 5 consecutive numbers is 60. What is the smallest of them?
- 7.The sum of 3 consecutive numbers is 39. What is the largest of them?
- 8.The sum of two numbers is 34 and their difference is 26. What is the larger number?
- 9.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
- 10.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
- 11.One number is 6 times another. Their difference is 35. What is the smaller number?
- 12.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?
- 13.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
- 14.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
- 15.The sum of two numbers is 79 and their difference is 49. What is the larger number?
- 16.The sum of 4 consecutive numbers is 110. What is the smallest of them?
- 17.One number is 3 times another. Their difference is 40. What is the smaller number?
- 18.The sum of 4 consecutive numbers is 30. What is the largest of them?
- 19.One number is 5 times another. Their difference is 104. What is the smaller number?
- 20.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?
- 21.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?
- 22.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
- 23.The sum of two numbers is 128 and their difference is 70. What is the smaller number?
- 24.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
- 25.One number is 6 times another. Their difference is 40. What is the smaller number?
- 26.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
- 27.The sum of two numbers is 83 and their difference is 57. What is the larger number?
- 28.One number is 6 times another. Their difference is 110. What is the smaller number?
- 29.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
- 30.The sum of two numbers is 90 and their difference is 82. What is the larger number?
- 31.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
- 32.The sum of 3 consecutive even numbers is 72. What is the largest of them?
- 33.One number is 6 times another. Their difference is 55. What is the smaller number?
- 34.The sum of two numbers is 18 and their difference is 8. What is the larger number?
- 35.One number is 5 times another. Their difference is 80. What is the smaller number?
- 36.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
- 37.One number is 2 times another. Their difference is 32. What is the smaller number?
- 38.The sum of 3 consecutive numbers is 54. What is the largest of them?
- 39.The sum of two numbers is 96 and their difference is 68. What is the smaller number?
- 40.The sum of two numbers is 20 and their difference is 2. What is the smaller number?
Answer key
- 13
- 46
- 8
- 16
- 26
- 10
- 14
- 30
- 89
- 71
- 7
- 78
- 44
- 20
- 64
- 26
- 20
- 9
- 26
- 68
- 18
- 72
- 29
- 27
- 8
- 23
- 70
- 22
- 39
- 86
- 34
- 26
- 11
- 13
- 20
- 77
- 32
- 19
- 14
- 9
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