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 two numbers is 28 and their difference is 4. What is the smaller number?
- 2.The sum of 4 consecutive numbers is 154. What is the largest of them?
- 3.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
- 4.The sum of 3 consecutive numbers is 75. What is the largest of them?
- 5.One number is 2 times another. Their difference is 11. What is the smaller number?
- 6.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
- 7.The sum of two numbers is 30 and their difference is 10. What is the larger number?
- 8.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?
- 9.The sum of two numbers is 140 and their difference is 46. What is the larger number?
- 10.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?
- 11.The sum of two numbers is 141 and their difference is 55. What is the smaller number?
- 12.The sum of 5 consecutive numbers is 205. What is the largest of them?
- 13.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
- 14.One number is 5 times another. Their difference is 124. What is the smaller number?
- 15.The sum of 4 consecutive numbers is 42. What is the largest of them?
- 16.The sum of 4 consecutive numbers is 170. What is the largest of them?
- 17.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
- 18.The sum of two numbers is 88 and their difference is 86. What is the larger number?
- 19.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?
- 20.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
- 21.One number is 6 times another. Their difference is 75. What is the smaller number?
- 22.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?
- 23.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
- 24.The sum of two numbers is 70 and their difference is 56. What is the larger number?
- 25.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
- 26.The sum of 3 consecutive even numbers is 42. What is the largest of them?
- 27.The sum of 3 consecutive numbers is 126. What is the smallest of them?
- 28.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
- 29.The sum of two numbers is 18 and their difference is 2. What is the larger number?
- 30.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
- 31.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
- 32.The sum of two numbers is 115 and their difference is 77. What is the smaller number?
- 33.The sum of 4 consecutive even numbers is 124. What is the largest of them?
- 34.One number is 5 times another. Their difference is 88. What is the smaller number?
- 35.The sum of 4 consecutive numbers is 202. What is the smallest of them?
- 36.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?
- 37.One number is 3 times another. Their difference is 24. What is the smaller number?
- 38.The sum of 3 consecutive numbers is 171. What is the largest of them?
- 39.The sum of two numbers is 154 and their difference is 40. What is the larger number?
- 40.The sum of 3 consecutive numbers is 141. What is the smallest of them?
Answer key
- 12
- 40
- 76
- 26
- 11
- 43
- 20
- 15
- 93
- 56
- 43
- 43
- 53
- 31
- 12
- 44
- 11
- 87
- 89
- 26
- 15
- 39
- 35
- 63
- 16
- 16
- 41
- 51
- 10
- 37
- 63
- 19
- 34
- 22
- 49
- 69
- 12
- 58
- 97
- 46
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