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 4 consecutive numbers is 130. What is the smallest of them?
- 2.One number is 5 times another. Their difference is 28. What is the smaller number?
- 3.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
- 4.The sum of two numbers is 27 and their difference is 1. What is the smaller number?
- 5.The sum of two numbers is 78 and their difference is 16. What is the smaller number?
- 6.The sum of two numbers is 68 and their difference is 2. What is the smaller number?
- 7.The sum of 3 consecutive numbers is 141. What is the smallest of them?
- 8.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?
- 9.The sum of 4 consecutive even numbers is 308. What is the largest of them?
- 10.The sum of 4 consecutive numbers is 74. What is the smallest of them?
- 11.The sum of two numbers is 73 and their difference is 15. What is the smaller number?
- 12.The sum of 5 consecutive numbers is 45. What is the smallest 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.The sum of 3 consecutive numbers is 63. What is the smallest of them?
- 15.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
- 16.The sum of 5 consecutive numbers is 260. What is the largest of them?
- 17.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
- 18.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?
- 19.The sum of two numbers is 106 and their difference is 14. What is the smaller number?
- 20.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
- 21.The sum of two numbers is 71 and their difference is 21. What is the larger number?
- 22.The sum of two numbers is 98 and their difference is 74. What is the larger number?
- 23.One number is 3 times another. Their difference is 62. What is the smaller number?
- 24.One number is 4 times another. Their difference is 33. What is the smaller number?
- 25.The sum of 3 consecutive even numbers is 90. What is the largest of them?
- 26.The sum of two numbers is 140 and their difference is 58. What is the smaller number?
- 27.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?
- 28.The sum of two numbers is 164 and their difference is 20. What is the larger number?
- 29.The sum of two numbers is 56 and their difference is 10. What is the larger number?
- 30.The sum of two numbers is 59 and their difference is 39. What is the smaller number?
- 31.One number is 3 times another. Their difference is 46. What is the smaller number?
- 32.The sum of two numbers is 186 and their difference is 2. What is the larger number?
- 33.The sum of 3 consecutive numbers is 117. What is the smallest of them?
- 34.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
- 35.The sum of 3 consecutive numbers is 42. What is the smallest of them?
- 36.The sum of two numbers is 55 and their difference is 3. What is the larger number?
- 37.The sum of two numbers is 58 and their difference is 8. What is the smaller number?
- 38.One number is 2 times another. Their difference is 17. What is the smaller number?
- 39.The sum of 4 consecutive even numbers is 92. What is the largest of them?
- 40.One number is 5 times another. Their difference is 92. What is the smaller number?
Answer key
- 31
- 7
- 34
- 13
- 31
- 33
- 46
- 49
- 80
- 17
- 29
- 7
- 68
- 20
- 62
- 54
- 21
- 15
- 46
- 6
- 46
- 86
- 31
- 11
- 32
- 41
- 58
- 92
- 33
- 10
- 23
- 94
- 38
- 56
- 13
- 29
- 25
- 17
- 26
- 23
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