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 2 times another. Their difference is 23. What is the smaller number?
- 2.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
- 3.The sum of 4 consecutive numbers is 66. What is the smallest of them?
- 4.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
- 5.The sum of 3 consecutive even numbers is 174. What is the largest of them?
- 6.The sum of 4 consecutive even numbers is 148. What is the largest of them?
- 7.The sum of two numbers is 95 and their difference is 21. What is the smaller number?
- 8.The sum of two numbers is 115 and their difference is 19. What is the larger number?
- 9.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
- 10.One number is 4 times another. Their difference is 63. What is the smaller number?
- 11.One number is 3 times another. Their difference is 80. What is the smaller number?
- 12.The sum of two numbers is 57 and their difference is 25. What is the smaller number?
- 13.One number is 2 times another. Their difference is 9. What is the smaller number?
- 14.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
- 15.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
- 16.The sum of two numbers is 38 and their difference is 22. What is the smaller number?
- 17.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
- 18.The sum of 3 consecutive numbers is 114. What is the smallest of them?
- 19.One number is 6 times another. Their difference is 35. What is the smaller number?
- 20.The sum of two numbers is 178 and their difference is 6. What is the smaller number?
- 21.The sum of 3 consecutive numbers is 33. What is the smallest of them?
- 22.The sum of two numbers is 44 and their difference is 38. What is the smaller number?
- 23.The sum of 3 consecutive numbers is 156. What is the largest of them?
- 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 two numbers is 97 and their difference is 57. What is the smaller number?
- 26.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?
- 27.The sum of 4 consecutive numbers is 150. What is the largest of them?
- 28.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
- 29.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
- 30.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
- 31.The sum of 3 consecutive even numbers is 132. What is the largest of them?
- 32.The sum of two numbers is 62 and their difference is 6. What is the smaller number?
- 33.One number is 3 times another. Their difference is 78. What is the smaller number?
- 34.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
- 35.The sum of two numbers is 73 and their difference is 57. What is the smaller number?
- 36.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?
- 37.The sum of 3 consecutive numbers is 72. What is the largest of them?
- 38.The sum of 3 consecutive numbers is 108. What is the smallest of them?
- 39.The sum of two numbers is 28 and their difference is 20. What is the larger number?
- 40.The sum of 4 consecutive numbers is 90. What is the smallest of them?
Answer key
- 23
- 38
- 15
- 27
- 60
- 40
- 37
- 67
- 47
- 21
- 40
- 16
- 9
- 16
- 16
- 8
- 43
- 37
- 7
- 86
- 10
- 3
- 53
- 36
- 20
- 12
- 39
- 25
- 48
- 17
- 46
- 28
- 39
- 25
- 8
- 18
- 25
- 35
- 24
- 21
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