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 9. What is the number?
- 2.One number is 3 times another. Their difference is 26. What is the smaller number?
- 3.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
- 4.The sum of 4 consecutive numbers is 82. What is the smallest of them?
- 5.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
- 6.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
- 7.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
- 8.The sum of 5 consecutive numbers is 35. What is the smallest of them?
- 9.The sum of 5 consecutive numbers is 210. What is the smallest of them?
- 10.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?
- 11.The sum of two numbers is 120 and their difference is 20. What is the larger number?
- 12.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?
- 13.One number is 6 times another. Their difference is 150. What is the smaller number?
- 14.The sum of 5 consecutive numbers is 230. What is the smallest of them?
- 15.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
- 16.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
- 17.The sum of 3 consecutive even numbers is 204. What is the largest of them?
- 18.The sum of 5 consecutive numbers is 240. What is the largest of them?
- 19.One number is 4 times another. Their difference is 75. What is the smaller number?
- 20.One number is 5 times another. Their difference is 84. What is the smaller number?
- 21.The sum of two numbers is 65 and their difference is 51. What is the larger number?
- 22.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
- 23.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?
- 24.The sum of two numbers is 160 and their difference is 32. What is the smaller number?
- 25.The sum of two numbers is 106 and their difference is 16. What is the smaller number?
- 26.The sum of two numbers is 78 and their difference is 76. What is the smaller number?
- 27.The sum of 3 consecutive even numbers is 156. What is the largest of them?
- 28.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?
- 29.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
- 30.The sum of 5 consecutive numbers is 45. What is the smallest of them?
- 31.The sum of two numbers is 26 and their difference is 22. What is the smaller number?
- 32.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
- 33.One number is 5 times another. Their difference is 56. What is the smaller number?
- 34.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?
- 35.One number is 3 times another. Their difference is 52. What is the smaller number?
- 36.One number is 2 times another. Their difference is 37. What is the smaller number?
- 37.The sum of 5 consecutive numbers is 125. What is the smallest of them?
- 38.The sum of 3 consecutive numbers is 69. What is the largest of them?
- 39.The sum of 3 consecutive numbers is 132. What is the smallest of them?
- 40.The sum of 5 consecutive numbers is 130. What is the smallest of them?
Answer key
- 45
- 13
- 49
- 19
- 60
- 40
- 62
- 5
- 40
- 56
- 70
- 89
- 30
- 44
- 65
- 80
- 70
- 50
- 25
- 21
- 58
- 33
- 25
- 64
- 45
- 1
- 54
- 34
- 46
- 7
- 2
- 69
- 14
- 79
- 26
- 37
- 23
- 24
- 43
- 24
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