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 13. When the digits swap places, the number goes up by 27. What is the number?
- 2.The sum of two numbers is 62 and their difference is 28. What is the larger number?
- 3.The sum of 4 consecutive odd numbers is 208. What is the largest of them?
- 4.The sum of 5 consecutive numbers is 300. What is the largest of them?
- 5.One number is 4 times another. Their difference is 9. What is the smaller number?
- 6.The sum of two numbers is 133 and their difference is 33. What is the larger number?
- 7.The sum of 3 consecutive numbers is 144. What is the largest of them?
- 8.The sum of two numbers is 50 and their difference is 26. What is the smaller number?
- 9.The sum of two numbers is 166 and their difference is 12. What is the larger number?
- 10.The sum of two numbers is 79 and their difference is 5. What is the larger number?
- 11.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
- 12.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
- 13.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?
- 14.The sum of 3 consecutive numbers is 90. What is the smallest of them?
- 15.One number is 6 times another. Their difference is 200. What is the smaller number?
- 16.The sum of 5 consecutive numbers is 255. What is the largest of them?
- 17.The sum of 5 consecutive numbers is 70. What is the largest of them?
- 18.The sum of two numbers is 42 and their difference is 26. What is the smaller number?
- 19.The sum of 5 consecutive numbers is 155. What is the largest of them?
- 20.The sum of two numbers is 102 and their difference is 70. What is the smaller number?
- 21.One number is 6 times another. Their difference is 35. What is the smaller number?
- 22.The sum of 4 consecutive numbers is 70. What is the largest of them?
- 23.One number is 5 times another. Their difference is 104. What is the smaller number?
- 24.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?
- 25.The sum of two numbers is 106 and their difference is 68. What is the larger number?
- 26.The sum of two numbers is 44 and their difference is 20. What is the larger number?
- 27.The sum of two numbers is 135 and their difference is 17. What is the smaller number?
- 28.One number is 2 times another. Their difference is 14. What is the smaller number?
- 29.The sum of 3 consecutive even numbers is 198. What is the largest of them?
- 30.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?
- 31.The sum of 4 consecutive even numbers is 92. What is the largest of them?
- 32.The sum of two numbers is 26 and their difference is 6. What is the larger number?
- 33.The sum of two numbers is 93 and their difference is 55. What is the larger number?
- 34.The sum of 3 consecutive numbers is 99. What is the smallest of them?
- 35.The sum of two numbers is 152 and their difference is 44. What is the larger number?
- 36.The sum of two numbers is 115 and their difference is 63. What is the smaller number?
- 37.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?
- 38.One number is 5 times another. Their difference is 140. What is the smaller number?
- 39.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
- 40.One number is 4 times another. Their difference is 69. What is the smaller number?
Answer key
- 58
- 45
- 55
- 62
- 3
- 83
- 49
- 12
- 89
- 42
- 67
- 39
- 25
- 29
- 40
- 53
- 16
- 8
- 33
- 16
- 7
- 19
- 26
- 68
- 87
- 32
- 59
- 14
- 68
- 49
- 26
- 16
- 74
- 32
- 98
- 26
- 59
- 35
- 49
- 23
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