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.One number is 3 times another. Their difference is 14. What is the smaller number?
- 2.The sum of 3 consecutive numbers is 138. What is the smallest of them?
- 3.The sum of 5 consecutive numbers is 80. What is the smallest of them?
- 4.One number is 6 times another. Their difference is 130. What is the smaller number?
- 5.The sum of two numbers is 47 and their difference is 25. What is the larger number?
- 6.The sum of 3 consecutive even numbers is 138. What is the largest of them?
- 7.The sum of 3 consecutive numbers is 27. What is the smallest of them?
- 8.One number is 6 times another. Their difference is 170. What is the smaller number?
- 9.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?
- 10.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
- 11.The sum of 3 consecutive numbers is 129. What is the smallest of them?
- 12.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
- 13.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
- 14.One number is 2 times another. Their difference is 7. What is the smaller number?
- 15.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?
- 16.The sum of 5 consecutive numbers is 100. What is the smallest of them?
- 17.The sum of 4 consecutive numbers is 198. What is the largest of them?
- 18.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?
- 19.The sum of two numbers is 40 and their difference is 2. What is the larger number?
- 20.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?
- 21.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?
- 22.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
- 23.The sum of two numbers is 101 and their difference is 3. What is the smaller number?
- 24.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
- 25.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
- 26.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
- 27.One number is 4 times another. Their difference is 93. What is the smaller number?
- 28.One number is 2 times another. Their difference is 32. What is the smaller number?
- 29.One number is 2 times another. Their difference is 28. What is the smaller number?
- 30.The sum of 4 consecutive even numbers is 324. What is the largest of them?
- 31.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
- 32.The sum of two numbers is 79 and their difference is 27. What is the smaller number?
- 33.The sum of 3 consecutive even numbers is 78. What is the largest of them?
- 34.One number is 6 times another. Their difference is 140. What is the smaller number?
- 35.The sum of two numbers is 14 and their difference is 12. What is the larger number?
- 36.One number is 4 times another. Their difference is 33. What is the smaller number?
- 37.The sum of 3 consecutive numbers is 39. What is the smallest of them?
- 38.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
- 39.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
- 40.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
Answer key
- 7
- 45
- 14
- 26
- 36
- 48
- 8
- 34
- 79
- 60
- 42
- 10
- 44
- 7
- 58
- 18
- 51
- 57
- 21
- 36
- 69
- 77
- 49
- 20
- 27
- 37
- 31
- 32
- 28
- 84
- 22
- 26
- 28
- 28
- 13
- 11
- 12
- 45
- 26
- 19
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