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 11. When the digits swap places, the number goes up by 63. What is the number?
- 2.The sum of 5 consecutive numbers is 60. What is the smallest of them?
- 3.The sum of 4 consecutive numbers is 130. What is the largest of them?
- 4.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?
- 5.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
- 6.The sum of 4 consecutive numbers is 26. What is the smallest of them?
- 7.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
- 8.The sum of two numbers is 49 and their difference is 31. What is the smaller number?
- 9.The sum of 4 consecutive even numbers is 188. What is the largest of them?
- 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 117. What is the smaller number?
- 12.The sum of two numbers is 157 and their difference is 17. What is the smaller number?
- 13.The sum of 3 consecutive numbers is 96. What is the largest of them?
- 14.The sum of two numbers is 76 and their difference is 64. What is the larger number?
- 15.The sum of 3 consecutive numbers is 81. What is the smallest of them?
- 16.The sum of 5 consecutive numbers is 185. What is the largest of them?
- 17.One number is 4 times another. Their difference is 12. What is the smaller number?
- 18.The sum of 4 consecutive numbers is 230. What is the smallest of them?
- 19.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?
- 20.The sum of two numbers is 42 and their difference is 20. What is the larger number?
- 21.The sum of 4 consecutive even numbers is 180. What is the largest of them?
- 22.The sum of 3 consecutive numbers is 27. What is the smallest of them?
- 23.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?
- 24.The sum of 4 consecutive even numbers is 44. What is the largest of them?
- 25.One number is 5 times another. Their difference is 124. What is the smaller number?
- 26.The sum of 4 consecutive numbers is 134. What is the largest of them?
- 27.The sum of two numbers is 34 and their difference is 24. What is the larger number?
- 28.The sum of two numbers is 49 and their difference is 23. What is the smaller number?
- 29.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
- 30.The sum of 3 consecutive numbers is 159. What is the largest of them?
- 31.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
- 32.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
- 33.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
- 34.The sum of two numbers is 13 and their difference is 11. What is the smaller number?
- 35.The sum of two numbers is 38 and their difference is 16. What is the larger number?
- 36.The sum of 3 consecutive numbers is 114. What is the largest of them?
- 37.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
- 38.The sum of two numbers is 89 and their difference is 41. What is the larger number?
- 39.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?
- 40.One number is 2 times another. Their difference is 32. What is the smaller number?
Answer key
- 29
- 10
- 34
- 78
- 51
- 5
- 35
- 9
- 50
- 12
- 39
- 70
- 33
- 70
- 26
- 39
- 4
- 56
- 28
- 31
- 48
- 8
- 59
- 14
- 31
- 35
- 29
- 13
- 17
- 54
- 53
- 19
- 53
- 1
- 27
- 39
- 8
- 65
- 89
- 32
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