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 5 consecutive numbers is 130. What is the smallest of them?
- 2.The sum of two numbers is 71 and their difference is 61. What is the smaller number?
- 3.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
- 4.The sum of 3 consecutive even numbers is 24. What is the largest of them?
- 5.One number is 2 times another. Their difference is 19. What is the smaller number?
- 6.The sum of 4 consecutive numbers is 78. What is the largest of them?
- 7.One number is 5 times another. Their difference is 20. What is the smaller number?
- 8.One number is 5 times another. Their difference is 132. What is the smaller number?
- 9.The sum of two numbers is 48 and their difference is 10. What is the smaller number?
- 10.The sum of two numbers is 75 and their difference is 21. What is the smaller number?
- 11.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
- 12.The sum of 4 consecutive even numbers is 300. What is the largest of them?
- 13.The sum of two numbers is 40 and their difference is 32. What is the larger number?
- 14.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
- 15.One number is 6 times another. Their difference is 165. What is the smaller number?
- 16.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
- 17.The sum of two numbers is 28 and their difference is 2. What is the smaller number?
- 18.One number is 5 times another. Their difference is 60. What is the smaller number?
- 19.The sum of 4 consecutive even numbers is 316. What is the largest of them?
- 20.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
- 21.The sum of two numbers is 68 and their difference is 34. What is the smaller number?
- 22.One number is 5 times another. Their difference is 156. What is the smaller number?
- 23.The sum of 3 consecutive numbers is 21. What is the largest of them?
- 24.The sum of two numbers is 14 and their difference is 12. What is the smaller number?
- 25.The sum of 4 consecutive even numbers is 292. What is the largest of them?
- 26.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
- 27.The sum of 4 consecutive numbers is 178. What is the largest of them?
- 28.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
- 29.The sum of two numbers is 111 and their difference is 67. What is the smaller number?
- 30.The sum of two numbers is 95 and their difference is 5. What is the larger number?
- 31.The sum of two numbers is 66 and their difference is 28. What is the larger number?
- 32.One number is 2 times another. Their difference is 33. What is the smaller number?
- 33.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
- 34.The sum of two numbers is 131 and their difference is 67. What is the smaller number?
- 35.The sum of two numbers is 131 and their difference is 25. What is the larger number?
- 36.The sum of two numbers is 32 and their difference is 6. What is the smaller number?
- 37.The sum of 4 consecutive numbers is 234. What is the largest of them?
- 38.The sum of two numbers is 133 and their difference is 51. What is the larger number?
- 39.The sum of two numbers is 54 and their difference is 22. What is the smaller number?
- 40.The sum of 5 consecutive numbers is 90. What is the smallest of them?
Answer key
- 24
- 5
- 83
- 10
- 19
- 21
- 5
- 33
- 19
- 27
- 27
- 78
- 36
- 25
- 33
- 24
- 13
- 15
- 82
- 45
- 17
- 39
- 8
- 1
- 76
- 59
- 46
- 79
- 22
- 50
- 47
- 33
- 26
- 32
- 78
- 13
- 60
- 92
- 16
- 16
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