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 even numbers is 138. What is the largest of them?
- 2.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?
- 3.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?
- 4.One number is 4 times another. Their difference is 78. What is the smaller number?
- 5.The sum of 4 consecutive numbers is 46. What is the smallest of them?
- 6.One number is 3 times another. Their difference is 70. What is the smaller number?
- 7.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?
- 8.The sum of 4 consecutive even numbers is 284. What is the largest of them?
- 9.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?
- 10.The sum of two numbers is 51 and their difference is 23. What is the smaller number?
- 11.The sum of 5 consecutive numbers is 300. What is the largest of them?
- 12.One number is 5 times another. Their difference is 116. What is the smaller number?
- 13.The sum of 5 consecutive numbers is 270. What is the largest of them?
- 14.The sum of 3 consecutive numbers is 147. What is the largest of them?
- 15.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
- 16.The sum of 5 consecutive numbers is 180. What is the smallest of them?
- 17.The sum of two numbers is 50 and their difference is 38. What is the smaller number?
- 18.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?
- 19.The sum of two numbers is 135 and their difference is 49. What is the smaller number?
- 20.The sum of two numbers is 70 and their difference is 4. What is the larger number?
- 21.The sum of 3 consecutive even numbers is 186. What is the largest of them?
- 22.The sum of two numbers is 35 and their difference is 5. What is the smaller number?
- 23.The sum of 4 consecutive even numbers is 324. What is the largest of them?
- 24.The sum of 5 consecutive numbers is 145. What is the smallest of them?
- 25.One number is 2 times another. Their difference is 28. What is the smaller number?
- 26.The sum of 4 consecutive numbers is 170. What is the smallest of them?
- 27.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
- 28.The sum of two numbers is 63 and their difference is 31. What is the smaller number?
- 29.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
- 30.The sum of two numbers is 85 and their difference is 77. What is the larger number?
- 31.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
- 32.One number is 2 times another. Their difference is 40. What is the smaller number?
- 33.One number is 5 times another. Their difference is 60. What is the smaller number?
- 34.The sum of 3 consecutive numbers is 132. What is the smallest of them?
- 35.The sum of two numbers is 42 and their difference is 32. What is the larger number?
- 36.The sum of two numbers is 47 and their difference is 29. What is the smaller number?
- 37.One number is 4 times another. Their difference is 36. What is the smaller number?
- 38.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
- 39.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
- 40.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?
Answer key
- 48
- 67
- 19
- 26
- 10
- 35
- 68
- 74
- 78
- 14
- 62
- 29
- 56
- 50
- 58
- 34
- 6
- 27
- 43
- 37
- 64
- 15
- 84
- 27
- 28
- 41
- 59
- 16
- 69
- 81
- 15
- 40
- 15
- 43
- 37
- 9
- 12
- 27
- 41
- 17
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