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 48. What is the smallest of them?
- 2.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
- 3.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
- 4.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?
- 5.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
- 6.The sum of two numbers is 38 and their difference is 18. What is the larger number?
- 7.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?
- 8.The sum of 4 consecutive numbers is 242. What is the largest of them?
- 9.One number is 3 times another. Their difference is 22. What is the smaller number?
- 10.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
- 11.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
- 12.The sum of 3 consecutive numbers is 102. What is the largest of them?
- 13.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?
- 14.One number is 4 times another. Their difference is 102. What is the smaller number?
- 15.One number is 6 times another. Their difference is 190. What is the smaller number?
- 16.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?
- 17.One number is 6 times another. Their difference is 55. What is the smaller number?
- 18.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
- 19.The sum of two numbers is 58 and their difference is 6. What is the smaller number?
- 20.One number is 3 times another. Their difference is 20. What is the smaller number?
- 21.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?
- 22.The sum of 4 consecutive numbers is 38. What is the largest of them?
- 23.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?
- 24.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
- 25.The sum of 3 consecutive numbers is 150. What is the smallest of them?
- 26.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
- 27.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?
- 28.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
- 29.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
- 30.The sum of two numbers is 150 and their difference is 2. What is the larger number?
- 31.The sum of two numbers is 107 and their difference is 33. What is the smaller number?
- 32.The sum of 3 consecutive even numbers is 210. What is the largest of them?
- 33.The sum of 3 consecutive numbers is 72. What is the largest of them?
- 34.The sum of 3 consecutive even numbers is 132. What is the largest of them?
- 35.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
- 36.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
- 37.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?
- 38.The sum of 4 consecutive even numbers is 276. What is the largest of them?
- 39.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
- 40.The sum of 3 consecutive numbers is 135. What is the smallest of them?
Answer key
- 15
- 24
- 66
- 58
- 51
- 28
- 36
- 62
- 11
- 26
- 53
- 35
- 68
- 34
- 38
- 29
- 11
- 76
- 26
- 10
- 49
- 11
- 89
- 20
- 49
- 21
- 48
- 71
- 39
- 76
- 37
- 72
- 25
- 46
- 12
- 71
- 12
- 72
- 43
- 44
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