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).
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- 1.The sum of 5 consecutive numbers is 130. What is the smallest of them?
- 2.One number is 3 times another. Their difference is 40. What is the smaller number?
- 3.The sum of 3 consecutive numbers is 144. What is the largest of them?
- 4.One number is 4 times another. Their difference is 27. What is the smaller number?
- 5.One number is 6 times another. Their difference is 20. What is the smaller number?
- 6.The sum of 3 consecutive numbers is 87. What is the largest of them?
- 7.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
- 8.One number is 3 times another. Their difference is 12. What is the smaller number?
- 9.One number is 2 times another. Their difference is 12. What is the smaller number?
- 10.The sum of two numbers is 139 and their difference is 31. What is the smaller number?
- 11.The sum of two numbers is 72 and their difference is 52. What is the smaller number?
- 12.The sum of two numbers is 85 and their difference is 81. What is the larger number?
- 13.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?
- 14.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
- 15.One number is 3 times another. Their difference is 6. What is the smaller number?
- 16.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
- 17.One number is 4 times another. Their difference is 21. What is the smaller number?
- 18.The sum of 3 consecutive numbers is 63. What is the largest of them?
- 19.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
- 20.The sum of two numbers is 40 and their difference is 22. What is the smaller number?
- 21.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?
- 22.The sum of two numbers is 125 and their difference is 11. What is the smaller number?
- 23.The sum of two numbers is 30 and their difference is 8. What is the smaller number?
- 24.The sum of 4 consecutive numbers is 246. What is the smallest of them?
- 25.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
- 26.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?
- 27.One number is 5 times another. Their difference is 40. What is the smaller number?
- 28.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
- 29.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
- 30.One number is 6 times another. Their difference is 115. What is the smaller number?
- 31.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?
- 32.The sum of 5 consecutive numbers is 135. What is the smallest of them?
- 33.The sum of 5 consecutive numbers is 75. What is the smallest of them?
- 34.The sum of 4 consecutive numbers is 194. What is the largest of them?
- 35.One number is 4 times another. Their difference is 120. What is the smaller number?
- 36.The sum of two numbers is 69 and their difference is 3. What is the smaller number?
- 37.The sum of 5 consecutive numbers is 290. What is the largest of them?
- 38.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?
- 39.The sum of 4 consecutive numbers is 162. What is the largest of them?
- 40.The sum of 5 consecutive numbers is 250. What is the largest of them?
Answer key
- 24
- 20
- 49
- 9
- 4
- 30
- 14
- 6
- 12
- 54
- 10
- 83
- 14
- 57
- 3
- 31
- 7
- 22
- 44
- 9
- 79
- 57
- 11
- 60
- 55
- 56
- 10
- 71
- 68
- 23
- 45
- 25
- 13
- 50
- 40
- 33
- 60
- 29
- 42
- 52
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