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 4 consecutive odd numbers is 40. What is the smallest of them?
- 2.One number is 5 times another. Their difference is 108. What is the smaller number?
- 3.The sum of two numbers is 66 and their difference is 26. What is the smaller number?
- 4.The sum of 4 consecutive numbers is 42. What is the smallest of them?
- 5.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?
- 6.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
- 7.The sum of two numbers is 78 and their difference is 52. What is the larger number?
- 8.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?
- 9.The sum of 4 consecutive numbers is 122. What is the largest of them?
- 10.One number is 2 times another. Their difference is 14. What is the smaller number?
- 11.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
- 12.The sum of 4 consecutive even numbers is 60. What is the largest of them?
- 13.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
- 14.The sum of 5 consecutive numbers is 115. What is the smallest of them?
- 15.The sum of two numbers is 130 and their difference is 6. What is the smaller number?
- 16.The sum of 3 consecutive numbers is 171. What is the smallest of them?
- 17.The sum of 5 consecutive numbers is 80. What is the largest of them?
- 18.The sum of 4 consecutive numbers is 142. What is the largest of them?
- 19.The sum of two numbers is 18 and their difference is 8. What is the smaller number?
- 20.The sum of 5 consecutive numbers is 70. What is the smallest of them?
- 21.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
- 22.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
- 23.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
- 24.One number is 5 times another. Their difference is 16. What is the smaller number?
- 25.The sum of 4 consecutive numbers is 214. What is the largest of them?
- 26.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
- 27.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
- 28.The sum of 5 consecutive numbers is 280. What is the largest of them?
- 29.The sum of 5 consecutive numbers is 50. What is the largest of them?
- 30.The sum of two numbers is 94 and their difference is 52. What is the smaller number?
- 31.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
- 32.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
- 33.One number is 4 times another. Their difference is 111. What is the smaller number?
- 34.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?
- 35.The sum of 3 consecutive even numbers is 144. What is the largest of them?
- 36.The sum of 4 consecutive even numbers is 244. What is the largest of them?
- 37.The sum of 5 consecutive numbers is 220. What is the largest of them?
- 38.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?
- 39.The sum of 3 consecutive numbers is 48. What is the smallest of them?
- 40.One number is 2 times another. Their difference is 22. What is the smaller number?
Answer key
- 7
- 27
- 20
- 9
- 67
- 61
- 65
- 79
- 32
- 14
- 56
- 18
- 51
- 21
- 62
- 56
- 18
- 37
- 5
- 12
- 59
- 16
- 53
- 4
- 55
- 45
- 74
- 58
- 12
- 21
- 41
- 78
- 37
- 89
- 50
- 64
- 46
- 56
- 15
- 22
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