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 45. What is the largest of them?
- 2.The sum of two numbers is 65 and their difference is 23. What is the larger number?
- 3.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
- 4.The sum of two numbers is 143 and their difference is 5. What is the smaller number?
- 5.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?
- 6.The sum of two numbers is 65 and their difference is 45. What is the smaller number?
- 7.The sum of two numbers is 23 and their difference is 19. What is the smaller number?
- 8.The sum of 4 consecutive numbers is 30. What is the largest of them?
- 9.The sum of 3 consecutive numbers is 147. What is the smallest of them?
- 10.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?
- 11.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
- 12.The sum of two numbers is 161 and their difference is 21. What is the larger number?
- 13.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
- 14.One number is 4 times another. Their difference is 51. What is the smaller number?
- 15.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?
- 16.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
- 17.The sum of two numbers is 112 and their difference is 64. What is the larger number?
- 18.The sum of two numbers is 124 and their difference is 48. What is the smaller number?
- 19.The sum of 4 consecutive even numbers is 220. What is the largest of them?
- 20.The sum of two numbers is 94 and their difference is 86. What is the larger number?
- 21.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
- 22.One number is 2 times another. Their difference is 40. What is the smaller number?
- 23.The sum of two numbers is 118 and their difference is 12. What is the smaller number?
- 24.The sum of 5 consecutive numbers is 45. What is the smallest of them?
- 25.The sum of two numbers is 48 and their difference is 34. What is the smaller number?
- 26.The sum of two numbers is 35 and their difference is 5. What is the larger number?
- 27.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?
- 28.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
- 29.The sum of two numbers is 97 and their difference is 19. What is the larger number?
- 30.The sum of 3 consecutive numbers is 123. What is the smallest of them?
- 31.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?
- 32.One number is 4 times another. Their difference is 12. What is the smaller number?
- 33.The sum of two numbers is 41 and their difference is 1. What is the larger number?
- 34.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?
- 35.One number is 4 times another. Their difference is 114. What is the smaller number?
- 36.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?
- 37.The sum of 3 consecutive numbers is 159. What is the largest of them?
- 38.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
- 39.The sum of 5 consecutive numbers is 215. What is the smallest of them?
- 40.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
Answer key
- 16
- 44
- 38
- 69
- 48
- 10
- 2
- 9
- 48
- 28
- 45
- 91
- 37
- 17
- 37
- 72
- 88
- 38
- 58
- 90
- 46
- 40
- 53
- 7
- 7
- 20
- 56
- 18
- 58
- 40
- 19
- 4
- 21
- 67
- 38
- 12
- 54
- 29
- 41
- 18
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