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 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?
- 2.The sum of 3 consecutive numbers is 168. What is the smallest of them?
- 3.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
- 4.The sum of 4 consecutive numbers is 34. What is the smallest of them?
- 5.The sum of 3 consecutive even numbers is 168. What is the largest of them?
- 6.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
- 7.The sum of 3 consecutive numbers is 180. What is the largest of them?
- 8.One number is 4 times another. Their difference is 69. What is the smaller number?
- 9.One number is 2 times another. Their difference is 30. What is the smaller number?
- 10.One number is 3 times another. Their difference is 38. What is the smaller number?
- 11.The sum of 4 consecutive even numbers is 252. What is the largest of them?
- 12.The sum of two numbers is 23 and their difference is 1. What is the smaller number?
- 13.One number is 2 times another. Their difference is 31. What is the smaller number?
- 14.The sum of two numbers is 136 and their difference is 4. What is the smaller number?
- 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.One number is 5 times another. Their difference is 152. What is the smaller number?
- 17.The sum of 4 consecutive numbers is 166. What is the largest of them?
- 18.The sum of 3 consecutive numbers is 171. What is the smallest of them?
- 19.One number is 6 times another. Their difference is 50. What is the smaller number?
- 20.The sum of two numbers is 43 and their difference is 19. What is the smaller number?
- 21.The sum of 4 consecutive numbers is 218. What is the smallest of them?
- 22.The sum of two numbers is 85 and their difference is 3. What is the larger number?
- 23.The sum of 4 consecutive even numbers is 196. What is the largest of them?
- 24.The sum of 4 consecutive numbers is 90. What is the largest of them?
- 25.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?
- 26.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
- 27.The sum of 3 consecutive even numbers is 210. What is the largest of them?
- 28.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
- 29.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
- 30.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
- 31.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?
- 32.The sum of two numbers is 53 and their difference is 35. What is the smaller number?
- 33.The sum of two numbers is 116 and their difference is 24. What is the smaller number?
- 34.One number is 6 times another. Their difference is 35. What is the smaller number?
- 35.The sum of 3 consecutive numbers is 63. What is the largest of them?
- 36.One number is 5 times another. Their difference is 56. What is the smaller number?
- 37.The sum of two numbers is 12 and their difference is 10. What is the larger number?
- 38.One number is 4 times another. Their difference is 114. What is the smaller number?
- 39.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
- 40.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
Answer key
- 78
- 55
- 72
- 7
- 58
- 15
- 61
- 23
- 30
- 19
- 66
- 11
- 31
- 66
- 89
- 38
- 43
- 56
- 10
- 12
- 53
- 44
- 52
- 24
- 16
- 35
- 72
- 57
- 48
- 39
- 38
- 9
- 46
- 7
- 22
- 14
- 11
- 38
- 67
- 79
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