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 numbers is 162. What is the largest of them?
- 2.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
- 3.The sum of 3 consecutive numbers is 129. What is the smallest of them?
- 4.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
- 5.The sum of 4 consecutive even numbers is 316. What is the largest of them?
- 6.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
- 7.The sum of two numbers is 58 and their difference is 12. What is the larger number?
- 8.The sum of two numbers is 138 and their difference is 60. What is the smaller number?
- 9.The sum of two numbers is 51 and their difference is 13. What is the smaller number?
- 10.One number is 3 times another. Their difference is 36. What is the smaller number?
- 11.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
- 12.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
- 13.The sum of 4 consecutive numbers is 230. What is the smallest of them?
- 14.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
- 15.The sum of 3 consecutive numbers is 99. What is the largest of them?
- 16.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
- 17.The sum of two numbers is 31 and their difference is 3. What is the smaller number?
- 18.The sum of 4 consecutive numbers is 246. What is the smallest of them?
- 19.The sum of two numbers is 139 and their difference is 47. What is the larger number?
- 20.One number is 6 times another. Their difference is 65. What is the smaller number?
- 21.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
- 22.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
- 23.The sum of 5 consecutive numbers is 265. What is the largest of them?
- 24.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
- 25.The sum of two numbers is 65 and their difference is 45. What is the smaller number?
- 26.The sum of 4 consecutive numbers is 98. What is the largest of them?
- 27.One number is 3 times another. Their difference is 8. What is the smaller number?
- 28.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
- 29.The sum of 5 consecutive numbers is 110. What is the smallest of them?
- 30.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
- 31.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
- 32.The sum of two numbers is 47 and their difference is 31. What is the smaller number?
- 33.The sum of 5 consecutive numbers is 255. What is the smallest of them?
- 34.The sum of 4 consecutive numbers is 106. What is the smallest of them?
- 35.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
- 36.The sum of two numbers is 70 and their difference is 38. What is the smaller number?
- 37.The sum of two numbers is 31 and their difference is 5. What is the smaller number?
- 38.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
- 39.The sum of two numbers is 61 and their difference is 29. What is the larger number?
- 40.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?
Answer key
- 55
- 17
- 42
- 12
- 82
- 29
- 35
- 39
- 19
- 18
- 20
- 27
- 56
- 67
- 34
- 32
- 14
- 60
- 93
- 13
- 27
- 68
- 55
- 28
- 10
- 26
- 4
- 75
- 20
- 46
- 79
- 8
- 49
- 25
- 65
- 16
- 13
- 35
- 45
- 13
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