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 123. What is the smallest of them?
- 2.The sum of 5 consecutive numbers is 185. What is the smallest of them?
- 3.The sum of two numbers is 35 and their difference is 25. What is the larger number?
- 4.The sum of two numbers is 152 and their difference is 40. What is the larger number?
- 5.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
- 6.The sum of two numbers is 91 and their difference is 85. What is the smaller number?
- 7.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
- 8.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?
- 9.The sum of two numbers is 76 and their difference is 34. What is the smaller number?
- 10.The sum of two numbers is 171 and their difference is 19. What is the smaller number?
- 11.One number is 4 times another. Their difference is 48. What is the smaller number?
- 12.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
- 13.The sum of 3 consecutive even numbers is 78. What is the largest of them?
- 14.The sum of 3 consecutive numbers is 45. What is the smallest of them?
- 15.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
- 16.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
- 17.The sum of 3 consecutive numbers is 18. What is the largest of them?
- 18.The sum of 3 consecutive numbers is 111. What is the largest of them?
- 19.The sum of two numbers is 77 and their difference is 75. What is the smaller number?
- 20.The sum of two numbers is 29 and their difference is 11. What is the larger number?
- 21.The sum of two numbers is 17 and their difference is 9. What is the larger number?
- 22.The sum of two numbers is 49 and their difference is 7. What is the smaller number?
- 23.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
- 24.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
- 25.One number is 2 times another. Their difference is 25. What is the smaller number?
- 26.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
- 27.The sum of two numbers is 46 and their difference is 4. What is the larger number?
- 28.One number is 6 times another. Their difference is 140. What is the smaller number?
- 29.The sum of two numbers is 34 and their difference is 24. What is the smaller number?
- 30.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?
- 31.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
- 32.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
- 33.The sum of two numbers is 40 and their difference is 2. What is the smaller number?
- 34.One number is 5 times another. Their difference is 48. What is the smaller number?
- 35.The sum of 4 consecutive numbers is 154. What is the smallest of them?
- 36.The sum of 4 consecutive numbers is 174. What is the smallest of them?
- 37.The sum of 4 consecutive numbers is 98. What is the smallest of them?
- 38.The sum of two numbers is 63 and their difference is 11. What is the smaller number?
- 39.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
- 40.The sum of two numbers is 32 and their difference is 10. What is the larger number?
Answer key
- 39
- 35
- 30
- 96
- 34
- 3
- 38
- 89
- 21
- 76
- 16
- 14
- 28
- 14
- 45
- 78
- 7
- 38
- 1
- 20
- 13
- 21
- 71
- 53
- 25
- 47
- 25
- 28
- 5
- 46
- 18
- 49
- 19
- 12
- 37
- 42
- 23
- 26
- 33
- 21
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