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 6 times another. Their difference is 80. What is the smaller number?
- 2.The sum of two numbers is 49 and their difference is 19. What is the smaller number?
- 3.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
- 4.One number is 6 times another. Their difference is 160. What is the smaller number?
- 5.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
- 6.One number is 2 times another. Their difference is 21. What is the smaller number?
- 7.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?
- 8.The sum of 5 consecutive numbers is 235. What is the largest of them?
- 9.The sum of two numbers is 20 and their difference is 14. What is the larger number?
- 10.One number is 3 times another. Their difference is 8. What is the smaller number?
- 11.The sum of 3 consecutive numbers is 27. What is the largest of them?
- 12.The sum of 3 consecutive numbers is 36. What is the smallest of them?
- 13.The sum of 4 consecutive numbers is 54. What is the largest of them?
- 14.The sum of two numbers is 36 and their difference is 10. What is the larger number?
- 15.One number is 4 times another. Their difference is 120. What is the smaller number?
- 16.The sum of two numbers is 49 and their difference is 43. What is the larger number?
- 17.One number is 4 times another. Their difference is 57. What is the smaller number?
- 18.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
- 19.One number is 2 times another. Their difference is 23. What is the smaller number?
- 20.The sum of two numbers is 31 and their difference is 5. What is the smaller number?
- 21.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
- 22.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
- 23.The sum of two numbers is 95 and their difference is 45. What is the larger number?
- 24.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?
- 25.The sum of two numbers is 27 and their difference is 1. What is the larger number?
- 26.The sum of two numbers is 66 and their difference is 62. What is the smaller number?
- 27.The sum of two numbers is 123 and their difference is 25. What is the larger number?
- 28.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
- 29.The sum of 4 consecutive numbers is 114. What is the smallest of them?
- 30.The sum of 3 consecutive even numbers is 126. What is the largest of them?
- 31.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
- 32.The sum of two numbers is 93 and their difference is 51. What is the smaller number?
- 33.The sum of 5 consecutive numbers is 170. What is the smallest of them?
- 34.The sum of two numbers is 48 and their difference is 28. What is the smaller number?
- 35.The sum of two numbers is 132 and their difference is 28. What is the smaller number?
- 36.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?
- 37.The sum of two numbers is 53 and their difference is 47. What is the larger number?
- 38.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
- 39.The sum of 4 consecutive numbers is 154. What is the smallest of them?
- 40.The sum of 4 consecutive numbers is 38. What is the largest of them?
Answer key
- 16
- 15
- 31
- 32
- 11
- 21
- 56
- 49
- 17
- 4
- 10
- 11
- 15
- 23
- 40
- 46
- 19
- 75
- 23
- 13
- 26
- 36
- 70
- 16
- 14
- 2
- 74
- 27
- 27
- 44
- 51
- 21
- 32
- 10
- 52
- 14
- 50
- 28
- 37
- 11
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