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 114. What is the smallest of them?
- 2.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
- 3.The sum of two numbers is 110 and their difference is 62. What is the larger number?
- 4.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
- 5.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
- 6.The sum of 4 consecutive numbers is 218. What is the largest of them?
- 7.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
- 8.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?
- 9.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
- 10.One number is 2 times another. Their difference is 23. What is the smaller number?
- 11.One number is 4 times another. Their difference is 39. What is the smaller number?
- 12.The sum of 4 consecutive numbers is 158. What is the smallest of them?
- 13.One number is 3 times another. Their difference is 76. What is the smaller number?
- 14.The sum of 5 consecutive numbers is 270. What is the largest of them?
- 15.The sum of 5 consecutive numbers is 50. What is the largest of them?
- 16.The sum of two numbers is 101 and their difference is 1. What is the smaller number?
- 17.The sum of 3 consecutive even numbers is 114. What is the largest of them?
- 18.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
- 19.The sum of 3 consecutive numbers is 60. What is the smallest of them?
- 20.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?
- 21.The sum of 5 consecutive numbers is 120. What is the smallest of them?
- 22.The sum of two numbers is 67 and their difference is 9. What is the smaller number?
- 23.One number is 3 times another. Their difference is 36. What is the smaller number?
- 24.The sum of 4 consecutive numbers is 226. What is the smallest of them?
- 25.One number is 6 times another. Their difference is 50. What is the smaller number?
- 26.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?
- 27.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
- 28.The sum of 3 consecutive numbers is 168. What is the smallest of them?
- 29.The sum of 3 consecutive numbers is 39. What is the smallest of them?
- 30.The sum of two numbers is 76 and their difference is 36. What is the smaller number?
- 31.The sum of 4 consecutive numbers is 170. What is the largest of them?
- 32.The sum of 5 consecutive numbers is 155. What is the largest of them?
- 33.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
- 34.The sum of two numbers is 134 and their difference is 24. What is the larger number?
- 35.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
- 36.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
- 37.One number is 3 times another. Their difference is 70. What is the smaller number?
- 38.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
- 39.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?
- 40.One number is 6 times another. Their difference is 200. What is the smaller number?
Answer key
- 36
- 59
- 86
- 45
- 8
- 56
- 39
- 48
- 57
- 23
- 13
- 38
- 38
- 56
- 12
- 50
- 40
- 45
- 19
- 47
- 22
- 29
- 18
- 55
- 10
- 69
- 16
- 55
- 12
- 20
- 44
- 33
- 49
- 79
- 76
- 71
- 35
- 41
- 56
- 40
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