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 336. What is the smallest of them?
- 2.The sum of 3 consecutive numbers is 99. What is the smallest of them?
- 3.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
- 4.One number is 6 times another. Their difference is 135. What is the smaller number?
- 5.The sum of 3 consecutive numbers is 144. What is the largest of them?
- 6.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
- 7.One number is 6 times another. Their difference is 120. What is the smaller number?
- 8.One number is 6 times another. Their difference is 50. What is the smaller number?
- 9.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
- 10.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
- 11.One number is 4 times another. Their difference is 18. What is the smaller number?
- 12.One number is 5 times another. Their difference is 60. What is the smaller number?
- 13.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?
- 14.One number is 3 times another. Their difference is 58. What is the smaller number?
- 15.The sum of 5 consecutive numbers is 170. What is the smallest of them?
- 16.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
- 17.One number is 3 times another. Their difference is 34. What is the smaller number?
- 18.The sum of 3 consecutive even numbers is 102. What is the largest of them?
- 19.The sum of 3 consecutive even numbers is 96. What is the largest of them?
- 20.The sum of 5 consecutive numbers is 235. What is the largest of them?
- 21.One number is 5 times another. Their difference is 112. What is the smaller number?
- 22.The sum of 3 consecutive numbers is 180. What is the smallest of them?
- 23.The sum of 3 consecutive even numbers is 108. 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 27. What is the number?
- 25.One number is 6 times another. Their difference is 165. What is the smaller number?
- 26.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
- 27.The sum of two numbers is 148 and their difference is 16. What is the larger number?
- 28.One number is 6 times another. Their difference is 40. What is the smaller number?
- 29.The sum of 4 consecutive numbers is 242. What is the smallest of them?
- 30.One number is 2 times another. Their difference is 35. What is the smaller number?
- 31.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
- 32.The sum of two numbers is 18 and their difference is 4. What is the smaller number?
- 33.One number is 3 times another. Their difference is 46. What is the smaller number?
- 34.The sum of 4 consecutive numbers is 226. What is the smallest of them?
- 35.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?
- 36.The sum of two numbers is 118 and their difference is 16. What is the larger number?
- 37.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
- 38.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?
- 39.The sum of 5 consecutive numbers is 300. What is the smallest of them?
- 40.The sum of 5 consecutive numbers is 85. What is the largest of them?
Answer key
- 81
- 32
- 23
- 27
- 49
- 45
- 24
- 10
- 20
- 58
- 6
- 15
- 89
- 29
- 32
- 18
- 17
- 36
- 34
- 49
- 28
- 59
- 38
- 47
- 33
- 74
- 82
- 8
- 59
- 35
- 20
- 7
- 23
- 55
- 56
- 67
- 49
- 78
- 58
- 19
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