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 115. What is the largest of them?
- 2.The sum of 3 consecutive numbers is 30. What is the smallest of them?
- 3.One number is 4 times another. Their difference is 18. What is the smaller number?
- 4.The sum of 3 consecutive numbers is 81. What is the largest of them?
- 5.The sum of two numbers is 126 and their difference is 12. What is the smaller number?
- 6.One number is 5 times another. Their difference is 140. What is the smaller number?
- 7.One number is 5 times another. Their difference is 64. What is the smaller number?
- 8.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
- 9.The sum of two numbers is 140 and their difference is 20. What is the larger number?
- 10.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
- 11.The sum of two numbers is 16 and their difference is 12. What is the larger number?
- 12.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?
- 13.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
- 14.The sum of two numbers is 113 and their difference is 7. What is the smaller number?
- 15.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
- 16.The sum of two numbers is 58 and their difference is 10. What is the smaller number?
- 17.One number is 4 times another. Their difference is 87. What is the smaller number?
- 18.The sum of 3 consecutive numbers is 120. What is the smallest of them?
- 19.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
- 20.The sum of two numbers is 95 and their difference is 43. What is the smaller number?
- 21.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?
- 22.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
- 23.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?
- 24.The sum of two numbers is 119 and their difference is 51. What is the larger number?
- 25.One number is 2 times another. Their difference is 26. What is the smaller number?
- 26.The sum of two numbers is 79 and their difference is 75. What is the larger number?
- 27.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
- 28.One number is 5 times another. Their difference is 84. What is the smaller number?
- 29.The sum of two numbers is 23 and their difference is 17. What is the larger number?
- 30.The sum of 3 consecutive numbers is 30. What is the largest of them?
- 31.The sum of two numbers is 102 and their difference is 82. What is the larger number?
- 32.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
- 33.The sum of two numbers is 27 and their difference is 15. What is the smaller number?
- 34.The sum of two numbers is 15 and their difference is 9. What is the larger number?
- 35.The sum of 5 consecutive numbers is 110. What is the largest of them?
- 36.The sum of two numbers is 87 and their difference is 81. What is the larger number?
- 37.The sum of 3 consecutive even numbers is 66. What is the largest of them?
- 38.One number is 2 times another. Their difference is 14. What is the smaller number?
- 39.One number is 3 times another. Their difference is 20. What is the smaller number?
- 40.The sum of 4 consecutive numbers is 218. What is the largest of them?
Answer key
- 25
- 9
- 6
- 28
- 57
- 35
- 16
- 21
- 80
- 81
- 14
- 68
- 33
- 53
- 39
- 24
- 29
- 39
- 51
- 26
- 67
- 57
- 46
- 85
- 26
- 77
- 42
- 21
- 20
- 11
- 92
- 23
- 6
- 12
- 24
- 84
- 24
- 14
- 10
- 56
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