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 3. When the digits swap places, the number goes up by 9. What is the number?
- 2.The sum of 3 consecutive numbers is 105. What is the smallest of them?
- 3.The sum of 4 consecutive numbers is 94. What is the smallest of them?
- 4.The sum of 4 consecutive even numbers is 36. What is the largest of them?
- 5.The sum of 3 consecutive numbers is 147. What is the smallest of them?
- 6.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?
- 7.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
- 8.The sum of 3 consecutive numbers is 66. What is the largest of them?
- 9.One number is 3 times another. Their difference is 56. What is the smaller number?
- 10.The sum of 3 consecutive numbers is 63. What is the smallest of them?
- 11.One number is 2 times another. Their difference is 33. What is the smaller number?
- 12.The sum of 3 consecutive numbers is 69. What is the smallest of them?
- 13.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
- 14.The sum of 3 consecutive numbers is 114. What is the largest of them?
- 15.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
- 16.The sum of two numbers is 59 and their difference is 11. What is the smaller number?
- 17.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
- 18.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
- 19.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
- 20.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
- 21.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
- 22.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?
- 23.The sum of two numbers is 96 and their difference is 82. What is the smaller number?
- 24.The sum of two numbers is 125 and their difference is 69. What is the smaller number?
- 25.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
- 26.The sum of 4 consecutive even numbers is 268. What is the largest of them?
- 27.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
- 28.The sum of two numbers is 56 and their difference is 50. What is the smaller number?
- 29.The sum of two numbers is 63 and their difference is 39. What is the larger number?
- 30.The sum of 4 consecutive numbers is 186. What is the largest of them?
- 31.One number is 3 times another. Their difference is 68. What is the smaller number?
- 32.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?
- 33.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
- 34.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
- 35.The sum of 3 consecutive numbers is 30. What is the largest of them?
- 36.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
- 37.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?
- 38.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?
- 39.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
- 40.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?
Answer key
- 12
- 34
- 22
- 12
- 48
- 78
- 71
- 23
- 28
- 20
- 33
- 22
- 54
- 39
- 29
- 24
- 47
- 45
- 19
- 56
- 29
- 69
- 7
- 28
- 51
- 70
- 14
- 3
- 51
- 48
- 34
- 79
- 33
- 71
- 11
- 58
- 23
- 14
- 57
- 37
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