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 even numbers is 52. What is the smallest of them?
- 2.The sum of 3 consecutive numbers is 111. What is the smallest of them?
- 3.The sum of two numbers is 71 and their difference is 43. What is the larger number?
- 4.The sum of 3 consecutive numbers is 45. What is the smallest of them?
- 5.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
- 6.The sum of two numbers is 146 and their difference is 44. What is the smaller number?
- 7.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
- 8.The sum of 3 consecutive numbers is 96. What is the smallest of them?
- 9.One number is 3 times another. Their difference is 10. What is the smaller number?
- 10.The sum of 4 consecutive numbers is 86. What is the smallest of them?
- 11.The sum of 5 consecutive numbers is 265. What is the smallest of them?
- 12.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
- 13.The sum of 3 consecutive numbers is 66. What is the smallest of them?
- 14.One number is 3 times another. Their difference is 16. What is the smaller number?
- 15.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
- 16.The sum of 3 consecutive numbers is 108. What is the smallest of them?
- 17.The sum of 3 consecutive numbers is 183. What is the smallest of them?
- 18.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
- 19.The sum of 4 consecutive even numbers is 244. What is the largest of them?
- 20.The sum of 5 consecutive numbers is 230. What is the smallest of them?
- 21.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?
- 22.The sum of 4 consecutive numbers is 194. What is the smallest of them?
- 23.The sum of 4 consecutive numbers is 70. What is the smallest of them?
- 24.One number is 4 times another. Their difference is 45. What is the smaller number?
- 25.The sum of two numbers is 98 and their difference is 22. What is the smaller number?
- 26.One number is 5 times another. Their difference is 84. What is the smaller number?
- 27.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?
- 28.The sum of 3 consecutive numbers is 81. What is the largest of them?
- 29.The sum of 3 consecutive numbers is 132. What is the largest of them?
- 30.The sum of 5 consecutive numbers is 150. What is the largest of them?
- 31.The sum of 5 consecutive numbers is 275. What is the largest of them?
- 32.The sum of 4 consecutive even numbers is 52. What is the largest of them?
- 33.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?
- 34.One number is 2 times another. Their difference is 39. What is the smaller number?
- 35.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?
- 36.The sum of 4 consecutive numbers is 38. What is the largest of them?
- 37.The sum of two numbers is 46 and their difference is 10. What is the smaller number?
- 38.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
- 39.One number is 5 times another. Their difference is 132. What is the smaller number?
- 40.The sum of two numbers is 31 and their difference is 23. What is the larger number?
Answer key
- 10
- 36
- 57
- 14
- 39
- 51
- 51
- 31
- 5
- 20
- 51
- 24
- 21
- 8
- 15
- 35
- 60
- 69
- 64
- 44
- 13
- 47
- 16
- 15
- 38
- 21
- 56
- 28
- 45
- 32
- 57
- 16
- 67
- 39
- 14
- 11
- 18
- 23
- 33
- 27
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