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.One number is 2 times another. Their difference is 18. What is the smaller number?
- 2.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
- 3.The sum of 4 consecutive numbers is 150. What is the smallest of them?
- 4.The sum of two numbers is 109 and their difference is 13. What is the smaller number?
- 5.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
- 6.One number is 5 times another. Their difference is 128. What is the smaller number?
- 7.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
- 8.The sum of 3 consecutive numbers is 81. What is the largest of them?
- 9.The sum of 3 consecutive numbers is 144. What is the largest of them?
- 10.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
- 11.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
- 12.The sum of 3 consecutive numbers is 180. What is the largest of them?
- 13.The sum of 3 consecutive numbers is 174. What is the largest of them?
- 14.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
- 15.The sum of two numbers is 28 and their difference is 2. What is the smaller number?
- 16.The sum of 5 consecutive numbers is 120. What is the smallest of them?
- 17.The sum of 5 consecutive numbers is 145. What is the largest of them?
- 18.One number is 3 times another. Their difference is 64. What is the smaller number?
- 19.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?
- 20.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
- 21.The sum of two numbers is 89 and their difference is 69. What is the smaller number?
- 22.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
- 23.The sum of 4 consecutive numbers is 242. What is the largest of them?
- 24.The sum of 3 consecutive numbers is 177. What is the largest of them?
- 25.The sum of two numbers is 105 and their difference is 55. What is the smaller number?
- 26.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
- 27.The sum of two numbers is 173 and their difference is 5. What is the larger number?
- 28.The sum of 3 consecutive numbers is 111. What is the largest of them?
- 29.The sum of two numbers is 76 and their difference is 14. What is the smaller number?
- 30.The sum of 4 consecutive even numbers is 124. What is the largest of them?
- 31.The sum of two numbers is 17 and their difference is 13. What is the larger number?
- 32.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?
- 33.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
- 34.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
- 35.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
- 36.The sum of two numbers is 24 and their difference is 16. What is the smaller number?
- 37.One number is 2 times another. Their difference is 13. What is the smaller number?
- 38.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?
- 39.The sum of two numbers is 140 and their difference is 26. What is the larger number?
- 40.The sum of two numbers is 114 and their difference is 32. What is the smaller number?
Answer key
- 18
- 31
- 36
- 48
- 23
- 32
- 62
- 28
- 49
- 47
- 79
- 61
- 59
- 8
- 13
- 22
- 31
- 32
- 18
- 13
- 10
- 51
- 62
- 60
- 25
- 79
- 89
- 38
- 31
- 34
- 15
- 58
- 28
- 56
- 25
- 4
- 13
- 89
- 83
- 41
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