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 3 times another. Their difference is 58. What is the smaller number?
- 2.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
- 3.The sum of two numbers is 76 and their difference is 26. What is the smaller number?
- 4.One number is 6 times another. Their difference is 140. What is the smaller number?
- 5.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
- 6.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
- 7.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
- 8.The sum of two numbers is 24 and their difference is 2. What is the larger number?
- 9.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
- 10.One number is 4 times another. Their difference is 39. What is the smaller number?
- 11.The sum of 5 consecutive numbers is 40. What is the largest of them?
- 12.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
- 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.One number is 6 times another. Their difference is 135. What is the smaller number?
- 15.One number is 3 times another. Their difference is 8. What is the smaller number?
- 16.The sum of two numbers is 16 and their difference is 12. What is the smaller number?
- 17.The sum of 3 consecutive numbers is 66. What is the smallest of them?
- 18.One number is 6 times another. Their difference is 45. What is the smaller number?
- 19.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
- 20.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
- 21.One number is 5 times another. Their difference is 24. What is the smaller number?
- 22.One number is 6 times another. Their difference is 175. What is the smaller number?
- 23.One number is 2 times another. Their difference is 16. What is the smaller number?
- 24.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?
- 25.One number is 5 times another. Their difference is 20. What is the smaller number?
- 26.One number is 2 times another. Their difference is 3. What is the smaller number?
- 27.The sum of 5 consecutive numbers is 145. What is the smallest of them?
- 28.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
- 29.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
- 30.The sum of two numbers is 92 and their difference is 82. What is the larger number?
- 31.The sum of 3 consecutive numbers is 99. What is the largest of them?
- 32.The sum of 3 consecutive numbers is 27. What is the largest of them?
- 33.One number is 3 times another. Their difference is 42. What is the smaller number?
- 34.One number is 6 times another. Their difference is 25. What is the smaller number?
- 35.The sum of two numbers is 87 and their difference is 13. What is the smaller number?
- 36.The sum of 4 consecutive numbers is 214. What is the largest of them?
- 37.One number is 6 times another. Their difference is 165. What is the smaller number?
- 38.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
- 39.The sum of 3 consecutive numbers is 69. What is the smallest of them?
- 40.The sum of two numbers is 57 and their difference is 5. What is the smaller number?
Answer key
- 29
- 40
- 25
- 28
- 54
- 58
- 16
- 13
- 15
- 13
- 10
- 23
- 68
- 27
- 4
- 2
- 21
- 9
- 61
- 80
- 6
- 35
- 16
- 89
- 5
- 3
- 27
- 79
- 46
- 87
- 34
- 10
- 21
- 5
- 37
- 55
- 33
- 27
- 22
- 26
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