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 two numbers is 63 and their difference is 1. What is the smaller number?
- 2.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
- 3.The sum of two numbers is 55 and their difference is 13. What is the smaller number?
- 4.One number is 5 times another. Their difference is 72. What is the smaller number?
- 5.One number is 5 times another. Their difference is 148. What is the smaller number?
- 6.The sum of two numbers is 160 and their difference is 26. What is the larger number?
- 7.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
- 8.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?
- 9.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
- 10.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?
- 11.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?
- 12.One number is 3 times another. Their difference is 22. What is the smaller number?
- 13.The sum of 5 consecutive numbers is 75. What is the smallest of them?
- 14.The sum of 4 consecutive numbers is 46. What is the smallest of them?
- 15.The sum of two numbers is 39 and their difference is 1. What is the smaller number?
- 16.The sum of 5 consecutive numbers is 230. What is the smallest of them?
- 17.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
- 18.One number is 6 times another. Their difference is 200. What is the smaller number?
- 19.The sum of 3 consecutive even numbers is 150. What is the largest of them?
- 20.The sum of 3 consecutive even numbers is 72. What is the largest of them?
- 21.The sum of 4 consecutive numbers is 82. What is the largest of them?
- 22.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
- 23.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
- 24.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
- 25.The sum of 4 consecutive numbers is 178. What is the largest of them?
- 26.The sum of two numbers is 116 and their difference is 12. What is the smaller number?
- 27.The sum of 3 consecutive even numbers is 120. What is the largest of them?
- 28.One number is 5 times another. Their difference is 144. What is the smaller number?
- 29.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
- 30.The sum of 3 consecutive numbers is 132. What is the largest of them?
- 31.The sum of two numbers is 24 and their difference is 2. What is the smaller number?
- 32.The sum of 3 consecutive numbers is 33. What is the smallest of them?
- 33.The sum of 3 consecutive even numbers is 108. What is the largest of them?
- 34.One number is 5 times another. Their difference is 20. What is the smaller number?
- 35.The sum of 3 consecutive numbers is 63. What is the largest of them?
- 36.One number is 2 times another. Their difference is 35. What is the smaller number?
- 37.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
- 38.The sum of 3 consecutive numbers is 21. What is the largest of them?
- 39.The sum of 3 consecutive numbers is 126. What is the smallest of them?
- 40.One number is 3 times another. Their difference is 66. What is the smaller number?
Answer key
- 31
- 15
- 21
- 18
- 37
- 93
- 72
- 14
- 18
- 89
- 69
- 11
- 13
- 10
- 19
- 44
- 25
- 40
- 52
- 26
- 22
- 37
- 73
- 50
- 46
- 52
- 42
- 36
- 53
- 45
- 11
- 10
- 38
- 5
- 22
- 35
- 36
- 8
- 41
- 33
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