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 23. What is the smaller number?
- 2.The sum of 5 consecutive numbers is 40. What is the largest of them?
- 3.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?
- 4.The sum of two numbers is 28 and their difference is 18. What is the larger number?
- 5.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
- 6.The sum of 3 consecutive numbers is 135. What is the largest of them?
- 7.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
- 8.The sum of 3 consecutive numbers is 132. What is the largest of them?
- 9.One number is 6 times another. Their difference is 190. What is the smaller number?
- 10.The sum of two numbers is 15 and their difference is 13. What is the smaller number?
- 11.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?
- 12.One number is 3 times another. Their difference is 66. What is the smaller number?
- 13.The sum of two numbers is 13 and their difference is 9. What is the smaller number?
- 14.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
- 15.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
- 16.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
- 17.The sum of 3 consecutive numbers is 138. What is the smallest of them?
- 18.The sum of 5 consecutive numbers is 90. What is the largest of them?
- 19.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?
- 20.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
- 21.One number is 6 times another. Their difference is 200. What is the smaller number?
- 22.The sum of 3 consecutive numbers is 183. What is the largest of them?
- 23.The sum of 5 consecutive numbers is 65. What is the smallest of them?
- 24.One number is 6 times another. Their difference is 15. What is the smaller number?
- 25.The sum of two numbers is 133 and their difference is 59. What is the smaller number?
- 26.One number is 2 times another. Their difference is 13. What is the smaller number?
- 27.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
- 28.The sum of 4 consecutive numbers is 38. What is the largest of them?
- 29.The sum of 3 consecutive numbers is 111. What is the smallest of them?
- 30.The sum of two numbers is 150 and their difference is 22. What is the smaller number?
- 31.The sum of 4 consecutive even numbers is 308. What is the largest of them?
- 32.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
- 33.The sum of 3 consecutive numbers is 54. What is the largest of them?
- 34.One number is 3 times another. Their difference is 20. What is the smaller number?
- 35.The sum of two numbers is 88 and their difference is 76. What is the larger number?
- 36.The sum of two numbers is 74 and their difference is 14. What is the smaller number?
- 37.The sum of two numbers is 101 and their difference is 97. What is the larger number?
- 38.One number is 4 times another. Their difference is 24. What is the smaller number?
- 39.One number is 6 times another. Their difference is 185. What is the smaller number?
- 40.The sum of 4 consecutive even numbers is 156. What is the largest of them?
Answer key
- 23
- 10
- 56
- 23
- 38
- 46
- 45
- 45
- 38
- 1
- 24
- 33
- 2
- 35
- 25
- 67
- 45
- 20
- 17
- 14
- 40
- 62
- 11
- 3
- 37
- 13
- 55
- 11
- 36
- 64
- 80
- 7
- 19
- 10
- 82
- 30
- 99
- 8
- 37
- 42
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