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 160. What is the smallest of them?
- 2.One number is 3 times another. Their difference is 16. What is the smaller number?
- 3.The sum of two numbers is 137 and their difference is 1. What is the smaller number?
- 4.The sum of two numbers is 105 and their difference is 35. What is the larger number?
- 5.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
- 6.The sum of 3 consecutive numbers is 183. What is the smallest of them?
- 7.The sum of 3 consecutive numbers is 87. What is the largest of them?
- 8.The sum of 5 consecutive numbers is 90. What is the largest of them?
- 9.The sum of 5 consecutive numbers is 210. What is the smallest of them?
- 10.One number is 3 times another. Their difference is 38. What is the smaller number?
- 11.The sum of 4 consecutive numbers is 138. What is the largest of them?
- 12.The sum of two numbers is 46 and their difference is 8. What is the smaller number?
- 13.The sum of 3 consecutive numbers is 174. What is the smallest of them?
- 14.The sum of two numbers is 70 and their difference is 26. What is the smaller number?
- 15.The sum of two numbers is 34 and their difference is 20. What is the larger number?
- 16.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
- 17.The sum of two numbers is 113 and their difference is 17. What is the larger number?
- 18.The sum of 4 consecutive numbers is 34. What is the smallest of them?
- 19.The sum of two numbers is 184 and their difference is 10. What is the larger number?
- 20.The sum of 3 consecutive numbers is 117. What is the largest of them?
- 21.The sum of two numbers is 153 and their difference is 5. What is the smaller number?
- 22.One number is 6 times another. Their difference is 50. What is the smaller number?
- 23.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
- 24.One number is 5 times another. Their difference is 44. What is the smaller number?
- 25.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
- 26.The sum of two numbers is 11 and their difference is 9. What is the larger number?
- 27.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
- 28.One number is 2 times another. Their difference is 4. What is the smaller number?
- 29.The sum of two numbers is 61 and their difference is 35. What is the smaller number?
- 30.The sum of 4 consecutive numbers is 90. What is the largest of them?
- 31.The sum of 4 consecutive numbers is 26. What is the smallest of them?
- 32.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
- 33.One number is 5 times another. Their difference is 52. What is the smaller number?
- 34.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?
- 35.One number is 3 times another. Their difference is 26. What is the smaller number?
- 36.One number is 6 times another. Their difference is 15. What is the smaller number?
- 37.One number is 6 times another. Their difference is 80. What is the smaller number?
- 38.The sum of 4 consecutive numbers is 226. What is the smallest of them?
- 39.One number is 5 times another. Their difference is 48. What is the smaller number?
- 40.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
Answer key
- 30
- 8
- 68
- 70
- 27
- 60
- 30
- 20
- 40
- 19
- 36
- 19
- 57
- 22
- 27
- 26
- 65
- 7
- 97
- 40
- 74
- 10
- 20
- 11
- 72
- 10
- 18
- 4
- 13
- 24
- 5
- 80
- 13
- 38
- 13
- 3
- 16
- 55
- 12
- 26
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