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 numbers is 18. What is the smallest of them?
- 2.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
- 3.The sum of 3 consecutive numbers is 114. What is the largest of them?
- 4.The sum of 4 consecutive numbers is 94. What is the largest of them?
- 5.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?
- 6.The sum of 5 consecutive numbers is 50. What is the smallest of them?
- 7.The sum of 3 consecutive numbers is 78. What is the smallest of them?
- 8.One number is 3 times another. Their difference is 26. What is the smaller number?
- 9.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
- 10.The sum of two numbers is 77 and their difference is 55. What is the larger number?
- 11.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
- 12.The sum of two numbers is 23 and their difference is 15. What is the smaller number?
- 13.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
- 14.The sum of two numbers is 50 and their difference is 38. What is the larger number?
- 15.The sum of two numbers is 21 and their difference is 3. What is the smaller number?
- 16.One number is 5 times another. Their difference is 68. What is the smaller number?
- 17.The sum of two numbers is 83 and their difference is 39. What is the smaller number?
- 18.One number is 4 times another. Their difference is 102. What is the smaller number?
- 19.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?
- 20.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
- 21.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?
- 22.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
- 23.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
- 24.One number is 2 times another. Their difference is 12. What is the smaller number?
- 25.The sum of 5 consecutive numbers is 40. What is the smallest of them?
- 26.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?
- 27.The sum of two numbers is 43 and their difference is 3. What is the larger number?
- 28.The sum of two numbers is 143 and their difference is 11. What is the smaller number?
- 29.The sum of two numbers is 30 and their difference is 20. What is the smaller number?
- 30.The sum of two numbers is 44 and their difference is 28. What is the larger number?
- 31.The sum of two numbers is 153 and their difference is 9. What is the larger number?
- 32.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
- 33.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
- 34.One number is 4 times another. Their difference is 90. What is the smaller number?
- 35.The sum of 5 consecutive numbers is 300. What is the smallest of them?
- 36.The sum of two numbers is 123 and their difference is 59. What is the smaller number?
- 37.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
- 38.The sum of 4 consecutive even numbers is 156. What is the largest of them?
- 39.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
- 40.One number is 4 times another. Their difference is 66. What is the smaller number?
Answer key
- 5
- 73
- 39
- 25
- 78
- 8
- 25
- 13
- 6
- 66
- 12
- 4
- 6
- 44
- 9
- 17
- 22
- 34
- 49
- 83
- 68
- 18
- 70
- 12
- 6
- 69
- 23
- 66
- 5
- 36
- 81
- 43
- 23
- 30
- 58
- 32
- 13
- 42
- 43
- 22
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