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 3 consecutive even numbers is 168. What is the smallest of them?
- 2.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
- 3.The sum of 4 consecutive numbers is 182. What is the smallest of them?
- 4.One number is 3 times another. Their difference is 30. What is the smaller number?
- 5.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?
- 6.The sum of 3 consecutive numbers is 153. What is the largest of them?
- 7.The sum of 4 consecutive even numbers is 276. What is the largest of them?
- 8.The sum of 5 consecutive numbers is 60. What is the largest of them?
- 9.The sum of two numbers is 115 and their difference is 75. What is the larger number?
- 10.The sum of 3 consecutive numbers is 81. What is the largest of them?
- 11.The sum of 3 consecutive numbers is 138. What is the smallest of them?
- 12.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?
- 13.The sum of two numbers is 149 and their difference is 23. What is the larger number?
- 14.One number is 2 times another. Their difference is 22. What is the smaller number?
- 15.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
- 16.The sum of 4 consecutive numbers is 190. What is the smallest of them?
- 17.The sum of two numbers is 56 and their difference is 54. What is the smaller number?
- 18.The sum of 4 consecutive numbers is 46. What is the smallest of them?
- 19.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
- 20.The sum of 4 consecutive numbers is 206. What is the smallest of them?
- 21.The sum of two numbers is 91 and their difference is 23. What is the larger number?
- 22.The sum of two numbers is 80 and their difference is 32. What is the larger number?
- 23.The sum of 5 consecutive numbers is 265. What is the largest of them?
- 24.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?
- 25.The sum of 4 consecutive numbers is 214. What is the smallest of them?
- 26.One number is 2 times another. Their difference is 18. What is the smaller number?
- 27.One number is 4 times another. Their difference is 69. What is the smaller number?
- 28.The sum of two numbers is 28 and their difference is 22. What is the larger number?
- 29.The sum of 3 consecutive numbers is 111. What is the largest of them?
- 30.The sum of two numbers is 14 and their difference is 6. What is the larger number?
- 31.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?
- 32.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
- 33.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
- 34.One number is 2 times another. Their difference is 14. What is the smaller number?
- 35.One number is 3 times another. Their difference is 34. What is the smaller number?
- 36.The sum of two numbers is 52 and their difference is 2. What is the larger number?
- 37.One number is 3 times another. Their difference is 18. What is the smaller number?
- 38.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
- 39.The sum of two numbers is 27 and their difference is 25. What is the larger number?
- 40.One number is 3 times another. Their difference is 54. What is the smaller number?
Answer key
- 54
- 12
- 44
- 15
- 14
- 52
- 72
- 14
- 95
- 28
- 45
- 89
- 86
- 22
- 51
- 46
- 1
- 10
- 55
- 50
- 57
- 56
- 55
- 56
- 52
- 18
- 23
- 25
- 38
- 10
- 17
- 73
- 13
- 14
- 17
- 27
- 9
- 23
- 26
- 27
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