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.One number is 4 times another. Their difference is 90. What is the smaller number?
- 2.The sum of 3 consecutive numbers is 69. What is the largest of them?
- 3.One number is 5 times another. Their difference is 44. What is the smaller number?
- 4.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?
- 5.The sum of two numbers is 68 and their difference is 24. What is the smaller number?
- 6.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
- 7.The sum of 5 consecutive numbers is 175. What is the largest of them?
- 8.One number is 3 times another. Their difference is 72. What is the smaller number?
- 9.One number is 4 times another. Their difference is 63. What is the smaller number?
- 10.One number is 4 times another. Their difference is 36. What is the smaller number?
- 11.One number is 4 times another. Their difference is 42. What is the smaller number?
- 12.One number is 5 times another. Their difference is 156. What is the smaller number?
- 13.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
- 14.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?
- 15.The sum of 3 consecutive even numbers is 60. What is the largest of them?
- 16.The sum of two numbers is 25 and their difference is 11. What is the larger number?
- 17.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
- 18.The sum of two numbers is 82 and their difference is 62. What is the larger number?
- 19.One number is 6 times another. Their difference is 100. What is the smaller number?
- 20.The sum of two numbers is 107 and their difference is 21. What is the smaller number?
- 21.The sum of 4 consecutive even numbers is 276. What is the largest of them?
- 22.One number is 6 times another. Their difference is 135. What is the smaller number?
- 23.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?
- 24.The sum of two numbers is 46 and their difference is 10. What is the smaller number?
- 25.The sum of two numbers is 37 and their difference is 25. What is the smaller number?
- 26.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
- 27.One number is 5 times another. Their difference is 24. What is the smaller number?
- 28.The sum of two numbers is 68 and their difference is 12. What is the smaller number?
- 29.One number is 2 times another. Their difference is 34. What is the smaller number?
- 30.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
- 31.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
- 32.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
- 33.One number is 5 times another. Their difference is 60. What is the smaller number?
- 34.The sum of 4 consecutive numbers is 194. What is the smallest of them?
- 35.The sum of 5 consecutive numbers is 85. What is the smallest of them?
- 36.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
- 37.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
- 38.The sum of 4 consecutive numbers is 182. What is the largest of them?
- 39.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?
- 40.The sum of two numbers is 76 and their difference is 42. What is the smaller number?
Answer key
- 30
- 24
- 11
- 45
- 22
- 25
- 37
- 36
- 21
- 12
- 14
- 39
- 34
- 89
- 22
- 18
- 52
- 72
- 20
- 43
- 72
- 27
- 58
- 18
- 6
- 48
- 6
- 28
- 34
- 11
- 80
- 28
- 15
- 47
- 15
- 53
- 10
- 47
- 56
- 17
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