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 5 consecutive numbers is 80. What is the smallest of them?
- 2.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?
- 3.One number is 5 times another. Their difference is 160. What is the smaller number?
- 4.One number is 5 times another. Their difference is 32. What is the smaller number?
- 5.The sum of 5 consecutive numbers is 205. What is the largest of them?
- 6.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
- 7.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
- 8.The sum of 3 consecutive numbers is 177. What is the smallest of them?
- 9.One number is 3 times another. Their difference is 56. What is the smaller number?
- 10.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
- 11.The sum of two numbers is 164 and their difference is 28. What is the smaller number?
- 12.The sum of 5 consecutive numbers is 40. What is the largest of them?
- 13.The sum of two numbers is 87 and their difference is 79. What is the smaller number?
- 14.One number is 3 times another. Their difference is 8. What is the smaller number?
- 15.The sum of two numbers is 60 and their difference is 48. What is the larger number?
- 16.One number is 2 times another. Their difference is 10. What is the smaller number?
- 17.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
- 18.The sum of 3 consecutive numbers is 153. What is the largest of them?
- 19.One number is 2 times another. Their difference is 24. What is the smaller number?
- 20.The sum of 3 consecutive even numbers is 192. What is the largest of them?
- 21.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
- 22.One number is 6 times another. Their difference is 100. What is the smaller number?
- 23.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?
- 24.One number is 4 times another. Their difference is 111. What is the smaller number?
- 25.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?
- 26.The sum of two numbers is 67 and their difference is 57. What is the larger number?
- 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 63. What is the smallest of them?
- 29.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
- 30.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
- 31.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?
- 32.The sum of two numbers is 56 and their difference is 14. What is the smaller number?
- 33.One number is 6 times another. Their difference is 85. What is the smaller number?
- 34.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?
- 35.The sum of 4 consecutive numbers is 26. What is the smallest of them?
- 36.The sum of two numbers is 128 and their difference is 8. What is the smaller number?
- 37.One number is 3 times another. Their difference is 80. What is the smaller number?
- 38.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
- 39.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
- 40.The sum of two numbers is 104 and their difference is 30. What is the smaller number?
Answer key
- 14
- 89
- 40
- 8
- 43
- 44
- 57
- 58
- 28
- 46
- 68
- 10
- 4
- 4
- 54
- 10
- 35
- 52
- 24
- 66
- 53
- 20
- 23
- 37
- 67
- 62
- 48
- 19
- 79
- 15
- 49
- 21
- 17
- 68
- 5
- 60
- 40
- 40
- 17
- 37
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