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 96. What is the largest of them?
- 2.The sum of 3 consecutive numbers is 24. What is the largest of them?
- 3.The sum of two numbers is 36 and their difference is 6. What is the larger number?
- 4.One number is 3 times another. Their difference is 10. What is the smaller number?
- 5.The sum of two numbers is 11 and their difference is 9. What is the smaller number?
- 6.The sum of two numbers is 141 and their difference is 25. What is the smaller number?
- 7.The sum of two numbers is 117 and their difference is 15. What is the larger number?
- 8.The sum of 4 consecutive numbers is 166. What is the smallest of them?
- 9.The sum of two numbers is 65 and their difference is 13. What is the larger number?
- 10.One number is 4 times another. Their difference is 120. What is the smaller number?
- 11.The sum of 3 consecutive numbers is 180. What is the largest of them?
- 12.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
- 13.The sum of two numbers is 33 and their difference is 25. What is the smaller number?
- 14.The sum of 4 consecutive even numbers is 228. What is the largest of them?
- 15.The sum of 5 consecutive numbers is 85. What is the largest of them?
- 16.One number is 2 times another. Their difference is 14. What is the smaller number?
- 17.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
- 18.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?
- 19.The sum of 5 consecutive numbers is 130. What is the smallest of them?
- 20.The sum of two numbers is 191 and their difference is 1. What is the smaller number?
- 21.The sum of two numbers is 63 and their difference is 41. What is the smaller number?
- 22.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?
- 23.The sum of 3 consecutive even numbers is 60. What is the largest of them?
- 24.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
- 25.One number is 6 times another. Their difference is 35. What is the smaller number?
- 26.One number is 5 times another. Their difference is 128. What is the smaller number?
- 27.The sum of two numbers is 48 and their difference is 34. What is the larger number?
- 28.One number is 3 times another. Their difference is 26. What is the smaller number?
- 29.The sum of 3 consecutive numbers is 180. What is the smallest of them?
- 30.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
- 31.One number is 4 times another. Their difference is 72. What is the smaller number?
- 32.The sum of two numbers is 91 and their difference is 81. What is the smaller number?
- 33.The sum of two numbers is 34 and their difference is 26. What is the larger number?
- 34.The sum of 4 consecutive even numbers is 316. What is the largest of them?
- 35.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
- 36.The sum of two numbers is 158 and their difference is 16. What is the smaller number?
- 37.The sum of 3 consecutive numbers is 177. What is the smallest of them?
- 38.One number is 4 times another. Their difference is 30. What is the smaller number?
- 39.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
- 40.One number is 6 times another. Their difference is 160. What is the smaller number?
Answer key
- 27
- 9
- 21
- 5
- 1
- 58
- 66
- 40
- 39
- 40
- 61
- 58
- 4
- 60
- 19
- 14
- 80
- 14
- 24
- 95
- 11
- 56
- 22
- 63
- 7
- 32
- 41
- 13
- 59
- 41
- 24
- 5
- 30
- 82
- 37
- 71
- 58
- 10
- 69
- 32
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