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 5 times another. Their difference is 136. What is the smaller number?
- 2.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
- 3.One number is 4 times another. Their difference is 12. What is the smaller number?
- 4.The sum of two numbers is 92 and their difference is 22. What is the smaller number?
- 5.The sum of two numbers is 109 and their difference is 17. What is the larger number?
- 6.One number is 6 times another. Their difference is 15. What is the smaller number?
- 7.The sum of 3 consecutive numbers is 57. What is the largest of them?
- 8.The sum of 3 consecutive numbers is 69. What is the largest of them?
- 9.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
- 10.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?
- 11.The sum of 4 consecutive numbers is 110. What is the largest of them?
- 12.One number is 2 times another. Their difference is 6. What is the smaller number?
- 13.One number is 5 times another. Their difference is 152. What is the smaller number?
- 14.One number is 5 times another. Their difference is 24. What is the smaller number?
- 15.The sum of 3 consecutive numbers is 123. What is the largest of them?
- 16.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
- 17.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
- 18.The sum of two numbers is 55 and their difference is 29. What is the smaller number?
- 19.The sum of two numbers is 23 and their difference is 13. What is the larger number?
- 20.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?
- 21.The sum of 4 consecutive numbers is 222. What is the smallest of them?
- 22.The sum of 4 consecutive even numbers is 36. What is the largest of them?
- 23.One number is 4 times another. Their difference is 36. What is the smaller number?
- 24.One number is 4 times another. Their difference is 111. What is the smaller number?
- 25.One number is 3 times another. Their difference is 42. What is the smaller number?
- 26.The sum of 3 consecutive even numbers is 36. What is the largest of them?
- 27.One number is 2 times another. Their difference is 17. What is the smaller number?
- 28.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
- 29.The sum of two numbers is 14 and their difference is 8. What is the larger number?
- 30.The sum of 3 consecutive numbers is 63. What is the largest of them?
- 31.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
- 32.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?
- 33.One number is 5 times another. Their difference is 64. What is the smaller number?
- 34.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?
- 35.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
- 36.The sum of 3 consecutive even numbers is 66. What is the largest of them?
- 37.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
- 38.The sum of 4 consecutive even numbers is 252. What is the largest of them?
- 39.The sum of two numbers is 117 and their difference is 9. What is the smaller number?
- 40.The sum of two numbers is 81 and their difference is 55. What is the larger number?
Answer key
- 34
- 25
- 4
- 35
- 63
- 3
- 20
- 24
- 55
- 67
- 29
- 6
- 38
- 6
- 42
- 60
- 22
- 13
- 18
- 57
- 54
- 12
- 12
- 37
- 21
- 14
- 17
- 33
- 11
- 22
- 25
- 46
- 16
- 23
- 13
- 24
- 62
- 66
- 54
- 68
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