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 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?
- 2.The sum of 5 consecutive numbers is 275. 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 27. What is the number?
- 4.One number is 4 times another. Their difference is 90. What is the smaller number?
- 5.The sum of 3 consecutive numbers is 144. What is the smallest of them?
- 6.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
- 7.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?
- 8.The sum of two numbers is 107 and their difference is 15. What is the larger number?
- 9.The sum of 4 consecutive even numbers is 84. What is the largest of them?
- 10.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
- 11.The sum of two numbers is 62 and their difference is 28. What is the larger number?
- 12.The sum of two numbers is 77 and their difference is 45. What is the smaller number?
- 13.The sum of 3 consecutive numbers is 21. What is the smallest of them?
- 14.The sum of 3 consecutive numbers is 117. What is the smallest of them?
- 15.The sum of two numbers is 88 and their difference is 46. What is the larger number?
- 16.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
- 17.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?
- 18.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
- 19.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
- 20.The sum of 3 consecutive numbers is 165. What is the smallest of them?
- 21.The sum of 5 consecutive numbers is 95. What is the smallest of them?
- 22.One number is 5 times another. Their difference is 52. What is the smaller number?
- 23.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
- 24.The sum of 5 consecutive numbers is 130. What is the smallest of them?
- 25.The sum of 3 consecutive even numbers is 96. What is the largest of them?
- 26.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
- 27.One number is 4 times another. Their difference is 15. What is the smaller number?
- 28.The sum of 3 consecutive numbers is 108. What is the smallest of them?
- 29.The sum of 3 consecutive numbers is 99. What is the largest of them?
- 30.The sum of two numbers is 84 and their difference is 72. What is the larger number?
- 31.The sum of two numbers is 111 and their difference is 45. What is the larger number?
- 32.The sum of 3 consecutive numbers is 153. What is the largest of them?
- 33.One number is 5 times another. Their difference is 12. What is the smaller number?
- 34.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
- 35.The sum of two numbers is 66 and their difference is 8. What is the larger number?
- 36.The sum of 5 consecutive numbers is 310. What is the largest of them?
- 37.The sum of 4 consecutive even numbers is 100. What is the largest of them?
- 38.One number is 2 times another. Their difference is 37. What is the smaller number?
- 39.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
- 40.The sum of 5 consecutive numbers is 215. What is the smallest of them?
Answer key
- 25
- 53
- 14
- 30
- 47
- 72
- 78
- 61
- 24
- 49
- 45
- 16
- 6
- 38
- 67
- 72
- 79
- 18
- 69
- 54
- 17
- 13
- 80
- 24
- 34
- 38
- 5
- 35
- 34
- 78
- 78
- 52
- 3
- 59
- 37
- 64
- 28
- 37
- 17
- 41
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