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 odd numbers is 208. What is the smallest of them?
- 2.The sum of two numbers is 25 and their difference is 3. What is the smaller number?
- 3.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?
- 4.The sum of 4 consecutive numbers is 242. What is the smallest of them?
- 5.One number is 6 times another. Their difference is 135. What is the smaller number?
- 6.The sum of 4 consecutive numbers is 246. What is the smallest of them?
- 7.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
- 8.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?
- 9.The sum of 3 consecutive numbers is 99. What is the smallest of them?
- 10.One number is 6 times another. Their difference is 75. What is the smaller number?
- 11.One number is 6 times another. Their difference is 25. What is the smaller number?
- 12.The sum of 3 consecutive numbers is 57. What is the largest of them?
- 13.The sum of two numbers is 15 and their difference is 11. What is the smaller number?
- 14.The sum of 4 consecutive numbers is 230. What is the smallest of them?
- 15.One number is 5 times another. Their difference is 64. What is the smaller number?
- 16.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
- 17.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?
- 18.The sum of two numbers is 56 and their difference is 46. What is the smaller number?
- 19.One number is 6 times another. Their difference is 155. What is the smaller number?
- 20.One number is 4 times another. Their difference is 15. What is the smaller number?
- 21.One number is 4 times another. Their difference is 99. What is the smaller number?
- 22.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
- 23.The sum of 4 consecutive numbers is 62. What is the largest of them?
- 24.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
- 25.One number is 5 times another. Their difference is 152. What is the smaller number?
- 26.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?
- 27.The sum of 3 consecutive numbers is 42. What is the largest of them?
- 28.The sum of two numbers is 147 and their difference is 29. What is the larger number?
- 29.The sum of two numbers is 68 and their difference is 6. What is the smaller number?
- 30.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
- 31.The sum of 3 consecutive numbers is 138. What is the largest of them?
- 32.One number is 3 times another. Their difference is 34. What is the smaller number?
- 33.The sum of two numbers is 90 and their difference is 34. What is the smaller number?
- 34.The sum of two numbers is 39 and their difference is 1. What is the smaller number?
- 35.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
- 36.The sum of two numbers is 158 and their difference is 8. What is the larger number?
- 37.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?
- 38.One number is 6 times another. Their difference is 200. What is the smaller number?
- 39.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?
- 40.One number is 3 times another. Their difference is 42. What is the smaller number?
Answer key
- 49
- 11
- 14
- 59
- 27
- 60
- 20
- 36
- 32
- 15
- 5
- 20
- 2
- 56
- 16
- 76
- 17
- 5
- 31
- 5
- 33
- 78
- 17
- 71
- 38
- 45
- 15
- 88
- 31
- 41
- 47
- 17
- 28
- 19
- 27
- 83
- 89
- 40
- 56
- 21
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