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 224. What is the smallest of them?
- 2.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
- 3.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?
- 4.One number is 6 times another. Their difference is 120. What is the smaller number?
- 5.The sum of 3 consecutive numbers is 57. What is the largest of them?
- 6.The sum of 3 consecutive numbers is 180. What is the smallest of them?
- 7.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
- 8.One number is 3 times another. Their difference is 42. What is the smaller number?
- 9.The sum of 4 consecutive even numbers is 204. What is the smallest of them?
- 10.The sum of 3 consecutive numbers is 105. What is the largest of them?
- 11.The sum of two numbers is 30 and their difference is 6. What is the smaller number?
- 12.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?
- 13.One number is 5 times another. Their difference is 112. What is the smaller number?
- 14.One number is 2 times another. Their difference is 35. What is the smaller number?
- 15.The sum of 4 consecutive numbers is 218. What is the smallest of them?
- 16.The sum of 5 consecutive numbers is 100. What is the largest of them?
- 17.The sum of two numbers is 85 and their difference is 5. What is the larger number?
- 18.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
- 19.The sum of two numbers is 27 and their difference is 13. What is the smaller number?
- 20.The sum of 5 consecutive numbers is 230. What is the smallest of them?
- 21.The sum of 4 consecutive numbers is 234. What is the largest of them?
- 22.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?
- 23.The sum of two numbers is 41 and their difference is 35. What is the larger number?
- 24.The sum of 3 consecutive numbers is 57. What is the smallest of them?
- 25.The sum of two numbers is 31 and their difference is 1. What is the larger number?
- 26.The sum of two numbers is 84 and their difference is 18. What is the smaller number?
- 27.One number is 4 times another. Their difference is 69. What is the smaller number?
- 28.One number is 2 times another. Their difference is 11. What is the smaller number?
- 29.The sum of 4 consecutive numbers is 142. What is the largest of them?
- 30.The sum of 3 consecutive numbers is 126. What is the smallest of them?
- 31.One number is 6 times another. Their difference is 190. What is the smaller number?
- 32.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
- 33.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
- 34.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
- 35.One number is 3 times another. Their difference is 44. What is the smaller number?
- 36.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
- 37.The sum of 5 consecutive numbers is 50. What is the largest of them?
- 38.One number is 6 times another. Their difference is 195. What is the smaller number?
- 39.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
- 40.The sum of two numbers is 86 and their difference is 58. What is the smaller number?
Answer key
- 53
- 47
- 67
- 24
- 20
- 59
- 24
- 21
- 48
- 36
- 12
- 24
- 28
- 35
- 53
- 22
- 45
- 54
- 7
- 44
- 60
- 17
- 38
- 18
- 16
- 33
- 23
- 11
- 37
- 41
- 38
- 10
- 64
- 58
- 22
- 43
- 12
- 39
- 23
- 14
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