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 numbers is 90. What is the largest of them?
- 2.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
- 3.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
- 4.One number is 3 times another. Their difference is 80. What is the smaller number?
- 5.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
- 6.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
- 7.One number is 6 times another. Their difference is 105. What is the smaller number?
- 8.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
- 9.The sum of two numbers is 54 and their difference is 4. What is the larger number?
- 10.The sum of two numbers is 131 and their difference is 37. What is the larger number?
- 11.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
- 12.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
- 13.The sum of two numbers is 110 and their difference is 20. What is the smaller number?
- 14.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
- 15.The sum of 5 consecutive numbers is 40. What is the largest of them?
- 16.One number is 2 times another. Their difference is 4. What is the smaller number?
- 17.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?
- 18.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
- 19.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
- 20.The sum of two numbers is 73 and their difference is 41. What is the smaller number?
- 21.One number is 6 times another. Their difference is 140. What is the smaller number?
- 22.The sum of 4 consecutive numbers is 130. What is the smallest of them?
- 23.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?
- 24.The sum of two numbers is 81 and their difference is 3. What is the smaller number?
- 25.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
- 26.The sum of 3 consecutive numbers is 93. What is the largest of them?
- 27.The sum of two numbers is 104 and their difference is 34. What is the larger number?
- 28.One number is 3 times another. Their difference is 6. What is the smaller number?
- 29.The sum of 3 consecutive numbers is 36. What is the largest of them?
- 30.The sum of 4 consecutive numbers is 66. What is the largest of them?
- 31.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
- 32.One number is 5 times another. Their difference is 64. What is the smaller number?
- 33.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?
- 34.The sum of 3 consecutive numbers is 39. What is the smallest of them?
- 35.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
- 36.The sum of two numbers is 28 and their difference is 18. What is the larger number?
- 37.One number is 3 times another. Their difference is 40. What is the smaller number?
- 38.The sum of two numbers is 117 and their difference is 67. What is the smaller number?
- 39.One number is 5 times another. Their difference is 136. What is the smaller number?
- 40.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
Answer key
- 24
- 15
- 15
- 40
- 57
- 8
- 21
- 47
- 29
- 84
- 68
- 27
- 45
- 53
- 10
- 4
- 37
- 7
- 72
- 16
- 28
- 31
- 36
- 39
- 39
- 32
- 69
- 3
- 13
- 18
- 80
- 16
- 89
- 12
- 21
- 23
- 20
- 25
- 34
- 46
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