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).
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- 1.The sum of 4 consecutive even numbers is 132. What is the largest of them?
- 2.One number is 4 times another. Their difference is 39. What is the smaller number?
- 3.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
- 4.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
- 5.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
- 6.The sum of 3 consecutive numbers is 156. What is the smallest of them?
- 7.The sum of 5 consecutive numbers is 295. What is the smallest of them?
- 8.One number is 6 times another. Their difference is 35. What is the smaller number?
- 9.The sum of two numbers is 66 and their difference is 54. What is the smaller number?
- 10.The sum of 4 consecutive numbers is 26. What is the largest of them?
- 11.One number is 4 times another. Their difference is 84. What is the smaller number?
- 12.One number is 3 times another. Their difference is 72. What is the smaller number?
- 13.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
- 14.The sum of two numbers is 65 and their difference is 39. What is the smaller number?
- 15.The sum of 3 consecutive numbers is 168. What is the smallest of them?
- 16.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
- 17.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
- 18.The sum of 3 consecutive numbers is 147. What is the smallest of them?
- 19.One number is 2 times another. Their difference is 32. What is the smaller number?
- 20.The sum of 3 consecutive numbers is 30. What is the largest of them?
- 21.The sum of two numbers is 36 and their difference is 24. What is the smaller number?
- 22.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
- 23.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?
- 24.The sum of two numbers is 197 and their difference is 1. What is the smaller number?
- 25.The sum of two numbers is 51 and their difference is 37. What is the larger number?
- 26.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
- 27.The sum of two numbers is 45 and their difference is 31. What is the larger number?
- 28.The sum of 3 consecutive numbers is 90. What is the largest of them?
- 29.The sum of two numbers is 61 and their difference is 5. What is the smaller number?
- 30.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?
- 31.The sum of two numbers is 12 and their difference is 10. What is the larger number?
- 32.The sum of 5 consecutive numbers is 115. What is the largest of them?
- 33.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
- 34.The sum of 5 consecutive numbers is 35. What is the smallest of them?
- 35.One number is 3 times another. Their difference is 64. What is the smaller number?
- 36.One number is 3 times another. Their difference is 16. What is the smaller number?
- 37.The sum of 4 consecutive even numbers is 204. What is the largest of them?
- 38.The sum of two numbers is 83 and their difference is 7. What is the smaller number?
- 39.The sum of 3 consecutive numbers is 27. What is the smallest of them?
- 40.The sum of 5 consecutive numbers is 210. What is the smallest of them?
Answer key
- 36
- 13
- 40
- 26
- 9
- 51
- 57
- 7
- 6
- 8
- 28
- 36
- 50
- 13
- 55
- 24
- 59
- 48
- 32
- 11
- 6
- 37
- 24
- 98
- 44
- 59
- 38
- 31
- 28
- 45
- 11
- 25
- 19
- 5
- 32
- 8
- 54
- 38
- 8
- 40
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