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 odd numbers is 144. What is the largest of them?
- 2.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
- 3.The sum of two numbers is 97 and their difference is 19. What is the larger number?
- 4.One number is 5 times another. Their difference is 56. What is the smaller number?
- 5.One number is 6 times another. Their difference is 25. What is the smaller number?
- 6.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
- 7.The sum of two numbers is 90 and their difference is 56. What is the larger number?
- 8.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?
- 9.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?
- 10.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
- 11.One number is 5 times another. Their difference is 52. What is the smaller number?
- 12.The sum of two numbers is 88 and their difference is 56. What is the smaller number?
- 13.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?
- 14.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?
- 15.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?
- 16.The sum of 3 consecutive numbers is 69. What is the largest of them?
- 17.One number is 4 times another. Their difference is 90. What is the smaller number?
- 18.One number is 6 times another. Their difference is 65. What is the smaller number?
- 19.The sum of two numbers is 131 and their difference is 55. What is the larger number?
- 20.The sum of two numbers is 59 and their difference is 27. What is the smaller number?
- 21.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
- 22.The sum of two numbers is 28 and their difference is 6. What is the smaller number?
- 23.The sum of two numbers is 108 and their difference is 22. What is the larger number?
- 24.The sum of two numbers is 141 and their difference is 51. What is the larger number?
- 25.The sum of two numbers is 21 and their difference is 1. What is the smaller number?
- 26.One number is 4 times another. Their difference is 42. What is the smaller number?
- 27.The sum of 3 consecutive even numbers is 60. What is the largest of them?
- 28.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
- 29.The sum of two numbers is 117 and their difference is 7. What is the larger number?
- 30.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
- 31.The sum of 3 consecutive numbers is 18. What is the largest of them?
- 32.One number is 3 times another. Their difference is 22. What is the smaller number?
- 33.The sum of 4 consecutive numbers is 82. What is the largest of them?
- 34.The sum of 4 consecutive numbers is 94. What is the smallest of them?
- 35.One number is 3 times another. Their difference is 10. What is the smaller number?
- 36.The sum of 4 consecutive numbers is 122. What is the smallest of them?
- 37.The sum of 3 consecutive numbers is 183. What is the smallest of them?
- 38.The sum of 3 consecutive numbers is 117. What is the largest of them?
- 39.The sum of 3 consecutive numbers is 27. What is the largest of them?
- 40.The sum of 3 consecutive numbers is 90. What is the largest of them?
Answer key
- 39
- 8
- 58
- 14
- 5
- 41
- 73
- 78
- 89
- 29
- 13
- 16
- 69
- 17
- 23
- 24
- 30
- 13
- 93
- 16
- 67
- 11
- 65
- 96
- 10
- 14
- 22
- 63
- 62
- 27
- 7
- 11
- 22
- 22
- 5
- 29
- 60
- 40
- 10
- 31
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