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 numbers is 26. What is the largest of them?
- 2.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
- 3.The sum of 3 consecutive numbers is 147. What is the largest of them?
- 4.The sum of 3 consecutive even numbers is 72. What is the largest of them?
- 5.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
- 6.One number is 3 times another. Their difference is 56. What is the smaller number?
- 7.The sum of two numbers is 129 and their difference is 3. What is the larger number?
- 8.The sum of 3 consecutive numbers is 183. What is the smallest of them?
- 9.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?
- 10.The sum of two numbers is 109 and their difference is 45. What is the larger number?
- 11.The sum of two numbers is 76 and their difference is 32. What is the larger number?
- 12.One number is 6 times another. Their difference is 90. What is the smaller number?
- 13.One number is 5 times another. Their difference is 100. What is the smaller number?
- 14.The sum of 4 consecutive even numbers is 92. What is the largest of them?
- 15.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?
- 16.One number is 6 times another. Their difference is 30. What is the smaller number?
- 17.The sum of 3 consecutive even numbers is 138. What is the largest of them?
- 18.The sum of two numbers is 58 and their difference is 28. What is the smaller number?
- 19.The sum of 3 consecutive numbers is 102. What is the largest of them?
- 20.The sum of 3 consecutive even numbers is 174. What is the largest of them?
- 21.The sum of two numbers is 52 and their difference is 18. What is the larger number?
- 22.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
- 23.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
- 24.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
- 25.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
- 26.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?
- 27.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
- 28.The sum of 3 consecutive numbers is 111. What is the smallest of them?
- 29.The sum of two numbers is 89 and their difference is 61. What is the larger number?
- 30.The sum of 3 consecutive numbers is 87. What is the smallest of them?
- 31.One number is 2 times another. Their difference is 11. What is the smaller number?
- 32.The sum of 3 consecutive even numbers is 234. What is the largest of them?
- 33.The sum of two numbers is 50 and their difference is 12. What is the smaller number?
- 34.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
- 35.The sum of two numbers is 81 and their difference is 63. What is the smaller number?
- 36.One number is 5 times another. Their difference is 84. What is the smaller number?
- 37.The sum of two numbers is 37 and their difference is 35. What is the larger number?
- 38.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
- 39.The sum of 3 consecutive numbers is 159. What is the smallest of them?
- 40.The sum of 4 consecutive numbers is 90. What is the largest of them?
Answer key
- 8
- 43
- 50
- 26
- 71
- 28
- 66
- 60
- 89
- 77
- 54
- 18
- 25
- 26
- 78
- 6
- 48
- 15
- 35
- 60
- 35
- 49
- 34
- 65
- 43
- 23
- 50
- 36
- 75
- 28
- 11
- 80
- 19
- 26
- 9
- 21
- 36
- 19
- 52
- 24
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