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 160. What is the smallest of them?
- 2.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?
- 3.The sum of two numbers is 124 and their difference is 74. What is the larger number?
- 4.The sum of 3 consecutive numbers is 177. What is the smallest of them?
- 5.The sum of two numbers is 87 and their difference is 69. What is the smaller number?
- 6.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?
- 7.The sum of 5 consecutive numbers is 295. What is the largest of them?
- 8.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
- 9.The sum of 3 consecutive numbers is 156. What is the largest of them?
- 10.The sum of 3 consecutive numbers is 105. What is the largest of them?
- 11.One number is 2 times another. Their difference is 5. What is the smaller number?
- 12.The sum of 3 consecutive numbers is 165. What is the smallest of them?
- 13.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
- 14.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?
- 15.The sum of 4 consecutive numbers is 166. What is the smallest of them?
- 16.The sum of two numbers is 98 and their difference is 46. What is the smaller number?
- 17.The sum of 5 consecutive numbers is 310. What is the smallest of them?
- 18.The sum of two numbers is 42 and their difference is 6. What is the larger number?
- 19.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
- 20.The sum of two numbers is 68 and their difference is 24. What is the smaller number?
- 21.The sum of 4 consecutive numbers is 206. What is the largest of them?
- 22.The sum of two numbers is 73 and their difference is 41. What is the larger number?
- 23.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
- 24.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?
- 25.The sum of 4 consecutive numbers is 234. What is the smallest of them?
- 26.The sum of 4 consecutive even numbers is 276. What is the largest of them?
- 27.One number is 6 times another. Their difference is 150. What is the smaller number?
- 28.The sum of 4 consecutive numbers is 54. What is the smallest of them?
- 29.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
- 30.The sum of 5 consecutive numbers is 215. What is the smallest of them?
- 31.The sum of 3 consecutive numbers is 177. What is the largest of them?
- 32.The sum of 5 consecutive numbers is 50. What is the smallest of them?
- 33.One number is 4 times another. Their difference is 99. What is the smaller number?
- 34.The sum of two numbers is 54 and their difference is 36. What is the larger number?
- 35.One number is 4 times another. Their difference is 39. What is the smaller number?
- 36.One number is 5 times another. Their difference is 32. What is the smaller number?
- 37.The sum of 5 consecutive numbers is 155. What is the smallest of them?
- 38.One number is 2 times another. Their difference is 12. What is the smaller number?
- 39.The sum of 4 consecutive numbers is 242. What is the smallest of them?
- 40.One number is 2 times another. Their difference is 35. What is the smaller number?
Answer key
- 37
- 69
- 99
- 58
- 9
- 17
- 61
- 41
- 53
- 36
- 5
- 54
- 48
- 89
- 40
- 26
- 60
- 24
- 42
- 22
- 53
- 57
- 14
- 79
- 57
- 72
- 30
- 12
- 31
- 41
- 60
- 8
- 33
- 45
- 13
- 8
- 29
- 12
- 59
- 35
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