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 two numbers is 93 and their difference is 81. What is the larger number?
- 2.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?
- 3.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
- 4.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
- 5.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
- 6.One number is 4 times another. Their difference is 90. What is the smaller number?
- 7.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?
- 8.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
- 9.The sum of 3 consecutive numbers is 126. What is the smallest of them?
- 10.One number is 2 times another. Their difference is 36. What is the smaller number?
- 11.The sum of 5 consecutive numbers is 245. What is the largest of them?
- 12.The sum of 4 consecutive numbers is 182. What is the smallest of them?
- 13.The sum of two numbers is 82 and their difference is 46. What is the smaller number?
- 14.The sum of two numbers is 20 and their difference is 12. What is the smaller number?
- 15.One number is 4 times another. Their difference is 36. What is the smaller number?
- 16.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?
- 17.The sum of two numbers is 91 and their difference is 3. What is the smaller number?
- 18.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
- 19.The sum of two numbers is 99 and their difference is 85. What is the larger number?
- 20.One number is 2 times another. Their difference is 22. What is the smaller number?
- 21.The sum of 4 consecutive numbers is 154. What is the smallest of them?
- 22.The sum of 4 consecutive numbers is 222. What is the smallest of them?
- 23.The sum of 4 consecutive numbers is 78. What is the smallest of them?
- 24.The sum of 3 consecutive numbers is 108. What is the largest of them?
- 25.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?
- 26.The sum of two numbers is 96 and their difference is 66. What is the larger number?
- 27.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
- 28.The sum of 5 consecutive numbers is 50. What is the largest of them?
- 29.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
- 30.The sum of 3 consecutive numbers is 141. What is the smallest of them?
- 31.One number is 4 times another. Their difference is 24. What is the smaller number?
- 32.One number is 4 times another. Their difference is 9. What is the smaller number?
- 33.The sum of two numbers is 56 and their difference is 40. What is the smaller number?
- 34.One number is 5 times another. Their difference is 108. What is the smaller number?
- 35.The sum of 5 consecutive numbers is 225. What is the largest of them?
- 36.One number is 6 times another. Their difference is 55. What is the smaller number?
- 37.The sum of 3 consecutive numbers is 69. What is the largest of them?
- 38.The sum of 4 consecutive numbers is 170. What is the smallest of them?
- 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.The sum of 3 consecutive numbers is 66. What is the smallest of them?
Answer key
- 87
- 29
- 56
- 29
- 27
- 30
- 37
- 61
- 41
- 36
- 51
- 44
- 18
- 4
- 12
- 19
- 44
- 28
- 92
- 22
- 37
- 54
- 18
- 37
- 67
- 81
- 52
- 12
- 24
- 46
- 8
- 3
- 8
- 27
- 47
- 11
- 24
- 41
- 89
- 21
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