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 4 times another. Their difference is 120. What is the smaller number?
- 2.The sum of two numbers is 99 and their difference is 37. What is the larger number?
- 3.The sum of two numbers is 139 and their difference is 9. What is the larger number?
- 4.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
- 5.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
- 6.The sum of 5 consecutive numbers is 35. What is the largest of them?
- 7.One number is 2 times another. Their difference is 10. What is the smaller number?
- 8.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
- 9.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
- 10.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
- 11.The sum of 4 consecutive numbers is 158. What is the largest of them?
- 12.The sum of two numbers is 27 and their difference is 1. What is the smaller number?
- 13.One number is 4 times another. Their difference is 9. What is the smaller number?
- 14.The sum of 5 consecutive numbers is 285. What is the smallest of them?
- 15.The sum of two numbers is 131 and their difference is 67. What is the larger number?
- 16.The sum of 4 consecutive numbers is 226. What is the largest of them?
- 17.One number is 2 times another. Their difference is 31. What is the smaller number?
- 18.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
- 19.The sum of two numbers is 35 and their difference is 7. What is the smaller number?
- 20.The sum of two numbers is 80 and their difference is 56. What is the smaller number?
- 21.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
- 22.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
- 23.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
- 24.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
- 25.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
- 26.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
- 27.The sum of 4 consecutive numbers is 142. What is the smallest of them?
- 28.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
- 29.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
- 30.The sum of 3 consecutive numbers is 162. What is the largest of them?
- 31.The sum of 3 consecutive numbers is 60. What is the smallest of them?
- 32.The sum of 3 consecutive numbers is 72. What is the smallest of them?
- 33.The sum of 4 consecutive even numbers is 180. What is the largest of them?
- 34.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
- 35.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?
- 36.The sum of 5 consecutive numbers is 65. What is the largest of them?
- 37.The sum of two numbers is 42 and their difference is 12. What is the larger number?
- 38.One number is 4 times another. Their difference is 111. What is the smaller number?
- 39.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
- 40.The sum of 3 consecutive numbers is 180. What is the smallest of them?
Answer key
- 40
- 68
- 74
- 37
- 8
- 9
- 10
- 81
- 78
- 28
- 41
- 13
- 3
- 55
- 99
- 58
- 31
- 33
- 14
- 12
- 24
- 60
- 27
- 15
- 47
- 36
- 34
- 71
- 29
- 55
- 19
- 23
- 48
- 59
- 89
- 15
- 27
- 37
- 35
- 59
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