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 17. When the digits swap places, the number goes up by 9. What is the number?
- 2.One number is 3 times another. Their difference is 10. What is the smaller number?
- 3.The sum of 5 consecutive numbers is 165. What is the largest of them?
- 4.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
- 5.The sum of 3 consecutive numbers is 159. What is the smallest of them?
- 6.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
- 7.The sum of two numbers is 60 and their difference is 46. What is the smaller number?
- 8.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?
- 9.One number is 5 times another. Their difference is 152. What is the smaller number?
- 10.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
- 11.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
- 12.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
- 13.The sum of 3 consecutive numbers is 153. What is the largest of them?
- 14.The sum of 4 consecutive numbers is 186. What is the largest of them?
- 15.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
- 16.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
- 17.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
- 18.The sum of 3 consecutive even numbers is 108. What is the largest of them?
- 19.The sum of 4 consecutive numbers is 146. What is the largest of them?
- 20.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?
- 21.One number is 2 times another. Their difference is 18. What is the smaller number?
- 22.One number is 2 times another. Their difference is 16. What is the smaller number?
- 23.The sum of 3 consecutive even numbers is 192. What is the largest of them?
- 24.One number is 3 times another. Their difference is 40. What is the smaller number?
- 25.The sum of 4 consecutive numbers is 194. What is the smallest of them?
- 26.The sum of 4 consecutive numbers is 94. What is the largest of them?
- 27.The sum of 4 consecutive numbers is 58. What is the largest of them?
- 28.The sum of two numbers is 100 and their difference is 90. What is the larger number?
- 29.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
- 30.The sum of 4 consecutive numbers is 62. What is the largest of them?
- 31.The sum of 4 consecutive numbers is 222. What is the largest of them?
- 32.One number is 2 times another. Their difference is 20. What is the smaller number?
- 33.The sum of 4 consecutive numbers is 178. What is the largest of them?
- 34.The sum of 3 consecutive numbers is 36. What is the largest of them?
- 35.The sum of 5 consecutive numbers is 285. What is the largest of them?
- 36.The sum of two numbers is 124 and their difference is 48. What is the smaller number?
- 37.The sum of 3 consecutive numbers is 54. What is the largest of them?
- 38.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
- 39.The sum of 5 consecutive numbers is 185. What is the largest of them?
- 40.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
Answer key
- 89
- 5
- 35
- 57
- 52
- 67
- 7
- 36
- 38
- 40
- 38
- 73
- 52
- 48
- 79
- 17
- 75
- 38
- 38
- 56
- 18
- 16
- 66
- 20
- 47
- 25
- 16
- 95
- 34
- 17
- 57
- 20
- 46
- 13
- 59
- 38
- 19
- 77
- 39
- 26
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