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 3 consecutive numbers is 156. What is the largest of them?
- 2.The sum of two numbers is 165 and their difference is 29. What is the larger number?
- 3.The sum of 3 consecutive numbers is 132. What is the largest of them?
- 4.The sum of two numbers is 184 and their difference is 10. What is the larger number?
- 5.The sum of 4 consecutive numbers is 46. What is the largest of them?
- 6.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?
- 7.The sum of two numbers is 43 and their difference is 13. What is the larger number?
- 8.The sum of two numbers is 74 and their difference is 60. What is the smaller number?
- 9.One number is 5 times another. Their difference is 24. What is the smaller number?
- 10.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
- 11.One number is 5 times another. Their difference is 72. What is the smaller number?
- 12.The sum of two numbers is 81 and their difference is 61. What is the larger number?
- 13.One number is 5 times another. Their difference is 76. What is the smaller number?
- 14.The sum of 4 consecutive numbers is 86. What is the largest of them?
- 15.The sum of 4 consecutive numbers is 42. What is the smallest of them?
- 16.The sum of two numbers is 74 and their difference is 2. What is the larger number?
- 17.One number is 3 times another. Their difference is 80. What is the smaller number?
- 18.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
- 19.One number is 3 times another. Their difference is 14. What is the smaller number?
- 20.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
- 21.The sum of 4 consecutive numbers is 118. What is the smallest of them?
- 22.One number is 2 times another. Their difference is 32. What is the smaller number?
- 23.The sum of 3 consecutive even numbers is 192. What is the largest of them?
- 24.The sum of two numbers is 83 and their difference is 61. What is the smaller number?
- 25.The sum of 3 consecutive numbers is 108. What is the smallest of them?
- 26.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
- 27.One number is 4 times another. Their difference is 39. What is the smaller number?
- 28.One number is 2 times another. Their difference is 13. What is the smaller number?
- 29.The sum of 5 consecutive numbers is 135. What is the smallest of them?
- 30.One number is 4 times another. Their difference is 96. What is the smaller number?
- 31.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
- 32.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
- 33.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?
- 34.One number is 3 times another. Their difference is 8. What is the smaller number?
- 35.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
- 36.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?
- 37.The sum of 3 consecutive numbers is 105. What is the smallest of them?
- 38.The sum of 3 consecutive numbers is 162. What is the smallest of them?
- 39.The sum of 3 consecutive even numbers is 114. What is the largest of them?
- 40.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
Answer key
- 53
- 97
- 45
- 97
- 13
- 69
- 28
- 7
- 6
- 51
- 18
- 71
- 19
- 23
- 9
- 38
- 40
- 40
- 7
- 70
- 28
- 32
- 66
- 11
- 35
- 18
- 13
- 13
- 25
- 32
- 55
- 41
- 89
- 4
- 30
- 23
- 34
- 53
- 40
- 34
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