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 numbers is 134. What is the smallest of them?
- 2.One number is 3 times another. Their difference is 60. What is the smaller number?
- 3.One number is 5 times another. Their difference is 100. What is the smaller number?
- 4.The sum of 4 consecutive even numbers is 308. What is the largest of them?
- 5.The sum of two numbers is 64 and their difference is 24. What is the smaller number?
- 6.The sum of two numbers is 82 and their difference is 14. What is the larger number?
- 7.The sum of 4 consecutive numbers is 190. What is the largest of them?
- 8.The sum of 4 consecutive numbers is 226. What is the largest of them?
- 9.The sum of two numbers is 28 and their difference is 6. What is the larger number?
- 10.One number is 5 times another. Their difference is 84. What is the smaller number?
- 11.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
- 12.The sum of 3 consecutive numbers is 84. What is the smallest of them?
- 13.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
- 14.The sum of two numbers is 41 and their difference is 31. What is the larger number?
- 15.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
- 16.The sum of 3 consecutive numbers is 147. What is the largest of them?
- 17.One number is 6 times another. Their difference is 60. What is the smaller number?
- 18.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?
- 19.The sum of 3 consecutive numbers is 171. What is the largest of them?
- 20.The sum of two numbers is 43 and their difference is 11. What is the smaller number?
- 21.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
- 22.One number is 2 times another. Their difference is 4. What is the smaller number?
- 23.The sum of 3 consecutive numbers is 114. What is the smallest of them?
- 24.One number is 3 times another. Their difference is 68. What is the smaller number?
- 25.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
- 26.One number is 3 times another. Their difference is 80. What is the smaller number?
- 27.One number is 2 times another. Their difference is 7. What is the smaller number?
- 28.The sum of two numbers is 91 and their difference is 53. What is the larger number?
- 29.The sum of two numbers is 99 and their difference is 83. What is the smaller number?
- 30.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
- 31.The sum of two numbers is 71 and their difference is 17. What is the smaller number?
- 32.The sum of 4 consecutive numbers is 26. What is the smallest of them?
- 33.The sum of two numbers is 99 and their difference is 1. What is the larger number?
- 34.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?
- 35.The sum of 5 consecutive numbers is 230. What is the smallest of them?
- 36.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
- 37.The sum of two numbers is 57 and their difference is 37. What is the smaller number?
- 38.One number is 2 times another. Their difference is 22. What is the smaller number?
- 39.The sum of two numbers is 48 and their difference is 20. What is the smaller number?
- 40.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
Answer key
- 32
- 30
- 25
- 80
- 20
- 48
- 49
- 58
- 17
- 21
- 41
- 27
- 13
- 36
- 60
- 50
- 12
- 79
- 58
- 16
- 49
- 4
- 37
- 34
- 61
- 40
- 7
- 72
- 8
- 40
- 27
- 5
- 50
- 46
- 44
- 7
- 10
- 22
- 14
- 48
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