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 9. When the digits swap places, the number goes up by 27. What is the number?
- 2.One number is 4 times another. Their difference is 72. What is the smaller number?
- 3.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
- 4.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?
- 5.One number is 6 times another. Their difference is 90. What is the smaller number?
- 6.The sum of two numbers is 54 and their difference is 12. What is the larger number?
- 7.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
- 8.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
- 9.One number is 5 times another. Their difference is 16. What is the smaller number?
- 10.The sum of 4 consecutive numbers is 126. What is the smallest of them?
- 11.The sum of two numbers is 69 and their difference is 65. What is the smaller number?
- 12.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?
- 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 two numbers is 103 and their difference is 59. What is the larger number?
- 15.The sum of 3 consecutive even numbers is 108. What is the largest of them?
- 16.The sum of 4 consecutive numbers is 154. What is the smallest of them?
- 17.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
- 18.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?
- 19.The sum of two numbers is 82 and their difference is 44. What is the smaller number?
- 20.One number is 6 times another. Their difference is 180. What is the smaller number?
- 21.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
- 22.One number is 3 times another. Their difference is 62. What is the smaller number?
- 23.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?
- 24.The sum of two numbers is 21 and their difference is 11. What is the smaller number?
- 25.The sum of 5 consecutive numbers is 290. What is the smallest of them?
- 26.The sum of 4 consecutive numbers is 134. What is the largest of them?
- 27.One number is 6 times another. Their difference is 80. What is the smaller number?
- 28.The sum of two numbers is 22 and their difference is 8. What is the larger number?
- 29.One number is 5 times another. Their difference is 136. What is the smaller number?
- 30.The sum of 5 consecutive numbers is 90. What is the smallest of them?
- 31.The sum of 5 consecutive numbers is 40. What is the largest of them?
- 32.The sum of 5 consecutive numbers is 100. What is the largest of them?
- 33.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
- 34.The sum of 5 consecutive numbers is 180. What is the largest of them?
- 35.The sum of two numbers is 75 and their difference is 33. What is the larger number?
- 36.The sum of two numbers is 13 and their difference is 9. What is the smaller number?
- 37.One number is 5 times another. Their difference is 156. What is the smaller number?
- 38.The sum of 5 consecutive numbers is 95. What is the largest of them?
- 39.The sum of 4 consecutive even numbers is 276. What is the largest of them?
- 40.One number is 3 times another. Their difference is 80. What is the smaller number?
Answer key
- 36
- 24
- 11
- 27
- 18
- 33
- 24
- 12
- 4
- 30
- 2
- 67
- 25
- 81
- 38
- 37
- 85
- 58
- 19
- 36
- 48
- 31
- 78
- 5
- 56
- 35
- 16
- 15
- 34
- 16
- 10
- 22
- 76
- 38
- 54
- 2
- 39
- 21
- 72
- 40
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