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 3 consecutive numbers is 129. What is the smallest of them?
- 2.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
- 3.One number is 5 times another. Their difference is 64. What is the smaller number?
- 4.The sum of 3 consecutive numbers is 174. What is the smallest of them?
- 5.The sum of 5 consecutive numbers is 45. What is the smallest of them?
- 6.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?
- 7.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
- 8.The sum of two numbers is 134 and their difference is 2. What is the smaller number?
- 9.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?
- 10.The sum of 3 consecutive numbers is 177. What is the largest of them?
- 11.One number is 6 times another. Their difference is 95. What is the smaller number?
- 12.The sum of 4 consecutive even numbers is 52. What is the largest of them?
- 13.One number is 4 times another. Their difference is 57. What is the smaller number?
- 14.The sum of 4 consecutive even numbers is 172. What is the largest of them?
- 15.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?
- 16.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
- 17.The sum of 3 consecutive even numbers is 180. What is the largest of them?
- 18.The sum of 5 consecutive numbers is 175. What is the smallest of them?
- 19.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
- 20.The sum of 5 consecutive numbers is 180. What is the smallest of them?
- 21.The sum of two numbers is 23 and their difference is 15. What is the smaller number?
- 22.The sum of two numbers is 98 and their difference is 68. What is the smaller number?
- 23.The sum of 5 consecutive numbers is 170. What is the largest of them?
- 24.One number is 6 times another. Their difference is 80. What is the smaller number?
- 25.The sum of 3 consecutive numbers is 63. What is the largest of them?
- 26.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
- 27.The sum of 4 consecutive numbers is 58. What is the largest of them?
- 28.One number is 2 times another. Their difference is 5. What is the smaller number?
- 29.The sum of two numbers is 97 and their difference is 51. What is the larger number?
- 30.One number is 4 times another. Their difference is 105. What is the smaller number?
- 31.The sum of 3 consecutive numbers is 48. What is the smallest of them?
- 32.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
- 33.The sum of 3 consecutive numbers is 21. What is the smallest of them?
- 34.The sum of 5 consecutive numbers is 75. What is the smallest of them?
- 35.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
- 36.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
- 37.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
- 38.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
- 39.The sum of two numbers is 109 and their difference is 25. What is the larger number?
- 40.The sum of two numbers is 58 and their difference is 42. What is the larger number?
Answer key
- 42
- 21
- 16
- 57
- 7
- 19
- 35
- 66
- 16
- 60
- 19
- 16
- 19
- 46
- 89
- 58
- 62
- 33
- 57
- 34
- 4
- 15
- 36
- 16
- 22
- 75
- 16
- 5
- 74
- 35
- 15
- 29
- 6
- 13
- 50
- 25
- 17
- 26
- 67
- 50
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