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 46. What is the largest of them?
- 2.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
- 3.One number is 3 times another. Their difference is 14. What is the smaller number?
- 4.The sum of 3 consecutive numbers is 66. What is the smallest of them?
- 5.The sum of 5 consecutive numbers is 230. What is the largest of them?
- 6.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?
- 7.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
- 8.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?
- 9.The sum of two numbers is 115 and their difference is 9. What is the larger number?
- 10.The sum of 4 consecutive numbers is 142. What is the largest of them?
- 11.The sum of two numbers is 41 and their difference is 29. What is the smaller number?
- 12.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?
- 13.The sum of 5 consecutive numbers is 110. What is the smallest of them?
- 14.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?
- 15.The sum of 4 consecutive numbers is 102. What is the largest of them?
- 16.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
- 17.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?
- 18.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?
- 19.One number is 3 times another. Their difference is 76. What is the smaller number?
- 20.One number is 2 times another. Their difference is 5. What is the smaller number?
- 21.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
- 22.The sum of two numbers is 27 and their difference is 1. What is the larger number?
- 23.The sum of 4 consecutive even numbers is 36. What is the largest of them?
- 24.The sum of 4 consecutive numbers is 206. What is the smallest of them?
- 25.The sum of 4 consecutive numbers is 218. What is the smallest of them?
- 26.One number is 2 times another. Their difference is 30. What is the smaller number?
- 27.The sum of 3 consecutive numbers is 168. What is the largest of them?
- 28.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?
- 29.One number is 3 times another. Their difference is 72. What is the smaller number?
- 30.One number is 4 times another. Their difference is 9. What is the smaller number?
- 31.The sum of 3 consecutive even numbers is 90. What is the largest of them?
- 32.The sum of 5 consecutive numbers is 55. What is the largest of them?
- 33.The sum of 3 consecutive numbers is 51. What is the largest of them?
- 34.One number is 2 times another. Their difference is 9. What is the smaller number?
- 35.The sum of 3 consecutive numbers is 93. What is the largest of them?
- 36.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
- 37.One number is 5 times another. Their difference is 72. What is the smaller number?
- 38.The sum of 3 consecutive numbers is 183. What is the largest of them?
- 39.One number is 3 times another. Their difference is 54. What is the smaller number?
- 40.One number is 3 times another. Their difference is 48. What is the smaller number?
Answer key
- 13
- 75
- 7
- 21
- 48
- 13
- 45
- 78
- 62
- 37
- 6
- 23
- 20
- 14
- 27
- 49
- 89
- 29
- 38
- 5
- 26
- 14
- 12
- 50
- 53
- 30
- 57
- 27
- 36
- 3
- 32
- 13
- 18
- 9
- 32
- 24
- 18
- 62
- 27
- 24
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