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 2 times another. Their difference is 34. What is the smaller number?
- 2.The sum of two numbers is 24 and their difference is 10. What is the larger number?
- 3.One number is 6 times another. Their difference is 170. What is the smaller number?
- 4.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
- 5.The sum of 3 consecutive numbers is 42. What is the smallest of them?
- 6.The sum of 3 consecutive even numbers is 96. What is the largest of them?
- 7.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
- 8.The sum of 4 consecutive numbers is 174. What is the smallest of them?
- 9.The sum of 5 consecutive numbers is 310. What is the smallest of them?
- 10.The sum of 3 consecutive even numbers is 210. What is the largest of them?
- 11.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
- 12.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
- 13.The sum of two numbers is 35 and their difference is 1. What is the larger number?
- 14.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?
- 15.One number is 5 times another. Their difference is 132. What is the smaller number?
- 16.The sum of two numbers is 18 and their difference is 12. What is the smaller number?
- 17.The sum of 4 consecutive numbers is 102. What is the largest of them?
- 18.The sum of two numbers is 30 and their difference is 16. What is the larger number?
- 19.One number is 6 times another. Their difference is 25. What is the smaller number?
- 20.One number is 5 times another. Their difference is 16. What is the smaller number?
- 21.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?
- 22.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
- 23.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?
- 24.One number is 6 times another. Their difference is 155. What is the smaller number?
- 25.The sum of 5 consecutive numbers is 260. What is the largest of them?
- 26.The sum of 4 consecutive numbers is 38. What is the smallest of them?
- 27.The sum of two numbers is 169 and their difference is 1. What is the larger number?
- 28.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
- 29.The sum of 3 consecutive numbers is 168. What is the largest of them?
- 30.The sum of two numbers is 35 and their difference is 7. What is the smaller number?
- 31.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?
- 32.One number is 5 times another. Their difference is 104. What is the smaller number?
- 33.One number is 4 times another. Their difference is 66. What is the smaller number?
- 34.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
- 35.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
- 36.One number is 3 times another. Their difference is 16. What is the smaller number?
- 37.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
- 38.The sum of two numbers is 97 and their difference is 95. What is the larger number?
- 39.The sum of two numbers is 103 and their difference is 11. What is the larger number?
- 40.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
Answer key
- 34
- 17
- 34
- 10
- 13
- 34
- 19
- 42
- 60
- 72
- 41
- 7
- 18
- 69
- 33
- 3
- 27
- 23
- 5
- 4
- 79
- 67
- 24
- 31
- 54
- 8
- 85
- 43
- 57
- 14
- 89
- 26
- 22
- 57
- 76
- 8
- 78
- 96
- 57
- 51
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