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 64. What is the smallest of them?
- 2.The sum of 3 consecutive even numbers is 24. What is the largest of them?
- 3.One number is 2 times another. Their difference is 26. What is the smaller number?
- 4.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
- 5.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
- 6.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
- 7.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
- 8.One number is 3 times another. Their difference is 44. What is the smaller number?
- 9.One number is 4 times another. Their difference is 15. What is the smaller number?
- 10.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?
- 11.The sum of 4 consecutive numbers is 170. What is the largest of them?
- 12.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
- 13.The sum of two numbers is 59 and their difference is 53. What is the larger number?
- 14.The sum of two numbers is 63 and their difference is 39. What is the smaller number?
- 15.One number is 5 times another. Their difference is 20. What is the smaller number?
- 16.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
- 17.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
- 18.One number is 4 times another. Their difference is 63. What is the smaller number?
- 19.The sum of two numbers is 118 and their difference is 26. What is the smaller number?
- 20.The sum of two numbers is 30 and their difference is 10. What is the smaller number?
- 21.The sum of two numbers is 154 and their difference is 10. What is the larger number?
- 22.One number is 5 times another. Their difference is 52. What is the smaller number?
- 23.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
- 24.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
- 25.The sum of 3 consecutive numbers is 111. What is the largest of them?
- 26.The sum of two numbers is 32 and their difference is 8. What is the larger number?
- 27.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
- 28.The sum of 5 consecutive numbers is 105. What is the smallest of them?
- 29.The sum of two numbers is 39 and their difference is 17. What is the smaller number?
- 30.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
- 31.The sum of two numbers is 59 and their difference is 5. What is the smaller number?
- 32.One number is 6 times another. Their difference is 25. What is the smaller number?
- 33.The sum of 3 consecutive numbers is 60. What is the smallest of them?
- 34.The sum of two numbers is 165 and their difference is 31. What is the larger number?
- 35.The sum of 3 consecutive numbers is 78. What is the largest of them?
- 36.The sum of 3 consecutive numbers is 48. What is the smallest of them?
- 37.The sum of two numbers is 30 and their difference is 12. What is the larger number?
- 38.The sum of 4 consecutive numbers is 66. What is the largest of them?
- 39.One number is 5 times another. Their difference is 140. What is the smaller number?
- 40.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?
Answer key
- 13
- 10
- 26
- 19
- 36
- 25
- 47
- 22
- 5
- 35
- 44
- 52
- 56
- 12
- 5
- 31
- 59
- 21
- 46
- 10
- 82
- 13
- 32
- 35
- 38
- 20
- 85
- 19
- 11
- 60
- 27
- 5
- 19
- 98
- 27
- 15
- 21
- 18
- 35
- 17
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