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 3 consecutive even numbers is 90. What is the largest of them?
- 2.One number is 2 times another. Their difference is 23. What is the smaller number?
- 3.One number is 5 times another. Their difference is 24. What is the smaller number?
- 4.One number is 6 times another. Their difference is 110. What is the smaller number?
- 5.The sum of 5 consecutive numbers is 220. What is the smallest of them?
- 6.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
- 7.The sum of two numbers is 95 and their difference is 77. What is the smaller number?
- 8.The sum of 5 consecutive numbers is 260. What is the smallest of them?
- 9.One number is 6 times another. Their difference is 170. What is the smaller number?
- 10.The sum of two numbers is 42 and their difference is 12. What is the larger number?
- 11.One number is 5 times another. Their difference is 112. What is the smaller number?
- 12.The sum of 4 consecutive numbers is 202. What is the smallest of them?
- 13.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
- 14.The sum of 3 consecutive numbers is 126. What is the largest of them?
- 15.One number is 5 times another. Their difference is 128. What is the smaller number?
- 16.The sum of two numbers is 18 and their difference is 2. What is the larger number?
- 17.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?
- 18.One number is 3 times another. Their difference is 26. What is the smaller number?
- 19.The sum of 5 consecutive numbers is 300. What is the largest of them?
- 20.The sum of 5 consecutive numbers is 190. What is the smallest of them?
- 21.The sum of 5 consecutive numbers is 310. What is the smallest of them?
- 22.One number is 3 times another. Their difference is 42. What is the smaller number?
- 23.One number is 2 times another. Their difference is 5. What is the smaller number?
- 24.The sum of 4 consecutive numbers is 126. What is the largest of them?
- 25.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
- 26.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?
- 27.The sum of two numbers is 16 and their difference is 10. What is the smaller number?
- 28.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
- 29.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
- 30.The sum of two numbers is 121 and their difference is 19. What is the smaller number?
- 31.The sum of 3 consecutive even numbers is 24. What is the largest of them?
- 32.The sum of two numbers is 48 and their difference is 4. What is the smaller number?
- 33.The sum of two numbers is 21 and their difference is 11. What is the smaller number?
- 34.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
- 35.One number is 2 times another. Their difference is 30. What is the smaller number?
- 36.One number is 3 times another. Their difference is 30. What is the smaller number?
- 37.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?
- 38.The sum of 5 consecutive numbers is 115. What is the largest of them?
- 39.The sum of two numbers is 26 and their difference is 12. What is the larger number?
- 40.One number is 3 times another. Their difference is 76. What is the smaller number?
Answer key
- 32
- 23
- 6
- 22
- 42
- 69
- 9
- 50
- 34
- 27
- 28
- 49
- 35
- 43
- 32
- 10
- 89
- 13
- 62
- 36
- 60
- 21
- 5
- 33
- 40
- 16
- 3
- 67
- 21
- 51
- 10
- 22
- 5
- 46
- 30
- 15
- 14
- 25
- 19
- 38
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