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 3 consecutive odd numbers is 81. What is the largest of them?
- 2.The sum of two numbers is 95 and their difference is 3. What is the smaller number?
- 3.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?
- 4.One number is 6 times another. Their difference is 140. What is the smaller number?
- 5.One number is 3 times another. Their difference is 72. What is the smaller number?
- 6.One number is 2 times another. Their difference is 22. What is the smaller number?
- 7.The sum of 3 consecutive numbers is 123. What is the largest of them?
- 8.The sum of two numbers is 83 and their difference is 69. What is the smaller number?
- 9.The sum of two numbers is 145 and their difference is 47. What is the larger number?
- 10.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
- 11.The sum of 4 consecutive numbers is 238. What is the largest of them?
- 12.The sum of two numbers is 23 and their difference is 21. What is the smaller number?
- 13.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?
- 14.The sum of 4 consecutive numbers is 98. What is the largest of them?
- 15.The sum of 3 consecutive even numbers is 78. What is the largest of them?
- 16.One number is 2 times another. Their difference is 5. What is the smaller number?
- 17.The sum of two numbers is 135 and their difference is 13. What is the smaller number?
- 18.The sum of 4 consecutive even numbers is 252. What is the largest of them?
- 19.The sum of 4 consecutive numbers is 170. What is the largest of them?
- 20.One number is 5 times another. Their difference is 96. What is the smaller number?
- 21.The sum of two numbers is 49 and their difference is 15. What is the smaller number?
- 22.The sum of 4 consecutive numbers is 210. What is the smallest of them?
- 23.One number is 4 times another. Their difference is 33. What is the smaller number?
- 24.One number is 4 times another. Their difference is 87. What is the smaller number?
- 25.The sum of 4 consecutive numbers is 170. What is the smallest of them?
- 26.The sum of 3 consecutive numbers is 81. What is the smallest of them?
- 27.One number is 3 times another. Their difference is 18. What is the smaller number?
- 28.The sum of 3 consecutive numbers is 93. What is the smallest of them?
- 29.The sum of two numbers is 33 and their difference is 17. What is the smaller number?
- 30.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?
- 31.The sum of 3 consecutive numbers is 99. What is the smallest of them?
- 32.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
- 33.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
- 34.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?
- 35.The sum of two numbers is 75 and their difference is 41. What is the smaller number?
- 36.One number is 3 times another. Their difference is 70. What is the smaller number?
- 37.One number is 3 times another. Their difference is 66. What is the smaller number?
- 38.The sum of two numbers is 24 and their difference is 22. What is the smaller number?
- 39.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
- 40.The sum of 3 consecutive even numbers is 138. What is the largest of them?
Answer key
- 29
- 46
- 67
- 28
- 36
- 22
- 42
- 7
- 96
- 33
- 61
- 1
- 79
- 26
- 28
- 5
- 61
- 66
- 44
- 24
- 17
- 51
- 11
- 29
- 41
- 26
- 9
- 30
- 8
- 14
- 32
- 26
- 73
- 35
- 17
- 35
- 33
- 1
- 31
- 48
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