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 3 consecutive numbers is 87. What is the largest of them?
- 2.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?
- 3.One number is 2 times another. Their difference is 18. What is the smaller number?
- 4.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
- 5.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
- 6.The sum of 3 consecutive numbers is 105. What is the smallest of them?
- 7.The sum of 4 consecutive numbers is 66. What is the smallest of them?
- 8.The sum of two numbers is 13 and their difference is 9. What is the larger number?
- 9.The sum of 5 consecutive numbers is 235. What is the smallest 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 4 consecutive odd numbers is 224. What is the smallest of them?
- 12.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?
- 13.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?
- 14.One number is 2 times another. Their difference is 38. What is the smaller number?
- 15.The sum of 4 consecutive numbers is 190. What is the smallest of them?
- 16.The sum of 4 consecutive numbers is 106. What is the smallest of them?
- 17.The sum of two numbers is 104 and their difference is 46. What is the smaller number?
- 18.The sum of 3 consecutive even numbers is 204. What is the largest of them?
- 19.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
- 20.The sum of 4 consecutive numbers is 26. What is the largest of them?
- 21.The sum of 3 consecutive even numbers is 24. What is the largest of them?
- 22.The sum of 3 consecutive even numbers is 36. What is the largest of them?
- 23.The sum of 3 consecutive numbers is 21. What is the largest of them?
- 24.The sum of two numbers is 29 and their difference is 5. What is the larger number?
- 25.One number is 2 times another. Their difference is 3. What is the smaller number?
- 26.One number is 3 times another. Their difference is 10. What is the smaller number?
- 27.The sum of 4 consecutive numbers is 70. What is the smallest of them?
- 28.One number is 5 times another. Their difference is 116. What is the smaller number?
- 29.One number is 2 times another. Their difference is 40. What is the smaller number?
- 30.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
- 31.The sum of two numbers is 125 and their difference is 7. What is the larger number?
- 32.One number is 6 times another. Their difference is 45. What is the smaller number?
- 33.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
- 34.The sum of two numbers is 100 and their difference is 84. What is the larger number?
- 35.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
- 36.One number is 6 times another. Their difference is 100. What is the smaller number?
- 37.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
- 38.The sum of 3 consecutive numbers is 54. What is the largest of them?
- 39.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
- 40.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?
Answer key
- 30
- 19
- 18
- 16
- 30
- 34
- 15
- 11
- 45
- 49
- 53
- 78
- 36
- 38
- 46
- 25
- 29
- 70
- 57
- 8
- 10
- 14
- 8
- 17
- 3
- 5
- 16
- 29
- 40
- 27
- 66
- 9
- 58
- 92
- 68
- 20
- 39
- 19
- 50
- 89
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