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.One number is 4 times another. Their difference is 15. What is the smaller number?
- 2.One number is 6 times another. Their difference is 160. What is the smaller number?
- 3.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?
- 4.One number is 5 times another. Their difference is 80. What is the smaller number?
- 5.The sum of two numbers is 59 and their difference is 17. What is the smaller number?
- 6.The sum of 3 consecutive numbers is 24. What is the smallest of them?
- 7.One number is 2 times another. Their difference is 35. What is the smaller number?
- 8.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
- 9.The sum of 3 consecutive numbers is 183. What is the smallest of them?
- 10.The sum of two numbers is 66 and their difference is 48. What is the larger number?
- 11.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
- 12.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
- 13.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
- 14.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
- 15.One number is 3 times another. Their difference is 66. What is the smaller number?
- 16.One number is 6 times another. Their difference is 190. What is the smaller number?
- 17.The sum of 4 consecutive numbers is 114. What is the smallest of them?
- 18.One number is 3 times another. Their difference is 58. What is the smaller number?
- 19.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?
- 20.One number is 5 times another. Their difference is 152. What is the smaller number?
- 21.The sum of two numbers is 29 and their difference is 23. What is the larger number?
- 22.The sum of two numbers is 94 and their difference is 68. What is the larger number?
- 23.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?
- 24.The sum of 5 consecutive numbers is 235. What is the smallest of them?
- 25.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?
- 26.The sum of 3 consecutive numbers is 141. What is the largest of them?
- 27.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
- 28.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
- 29.One number is 2 times another. Their difference is 28. What is the smaller number?
- 30.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
- 31.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
- 32.One number is 5 times another. Their difference is 28. What is the smaller number?
- 33.The sum of two numbers is 111 and their difference is 31. What is the smaller number?
- 34.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
- 35.The sum of 3 consecutive numbers is 177. What is the largest of them?
- 36.The sum of 5 consecutive numbers is 85. What is the smallest of them?
- 37.The sum of 5 consecutive numbers is 150. What is the smallest of them?
- 38.The sum of two numbers is 95 and their difference is 21. What is the smaller number?
- 39.The sum of 3 consecutive numbers is 180. What is the largest of them?
- 40.The sum of two numbers is 50 and their difference is 22. What is the larger number?
Answer key
- 5
- 32
- 12
- 20
- 21
- 7
- 35
- 43
- 60
- 57
- 57
- 78
- 68
- 27
- 33
- 38
- 27
- 29
- 78
- 38
- 26
- 81
- 17
- 45
- 89
- 48
- 19
- 65
- 28
- 17
- 17
- 7
- 40
- 73
- 60
- 15
- 28
- 37
- 61
- 36
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