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 222. What is the smallest of them?
- 2.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
- 3.The sum of two numbers is 49 and their difference is 25. What is the larger number?
- 4.The sum of 3 consecutive numbers is 96. What is the smallest of them?
- 5.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
- 6.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?
- 7.The sum of two numbers is 42 and their difference is 40. What is the smaller number?
- 8.One number is 3 times another. Their difference is 12. What is the smaller number?
- 9.The sum of 4 consecutive numbers is 94. What is the largest of them?
- 10.The sum of 4 consecutive even numbers is 100. What is the largest of them?
- 11.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
- 12.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
- 13.The sum of 4 consecutive numbers is 246. What is the largest of them?
- 14.The sum of 5 consecutive numbers is 240. What is the smallest of them?
- 15.The sum of 3 consecutive even numbers is 210. What is the largest of them?
- 16.The sum of two numbers is 148 and their difference is 12. What is the smaller number?
- 17.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
- 18.The sum of two numbers is 29 and their difference is 9. What is the smaller number?
- 19.One number is 2 times another. Their difference is 16. What is the smaller number?
- 20.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
- 21.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
- 22.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
- 23.The sum of two numbers is 46 and their difference is 34. What is the larger number?
- 24.The sum of 5 consecutive numbers is 175. What is the largest of them?
- 25.One number is 2 times another. Their difference is 12. What is the smaller number?
- 26.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
- 27.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
- 28.The sum of 3 consecutive numbers is 57. What is the largest of them?
- 29.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
- 30.One number is 4 times another. Their difference is 105. What is the smaller number?
- 31.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?
- 32.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?
- 33.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?
- 34.The sum of two numbers is 149 and their difference is 43. What is the larger number?
- 35.The sum of two numbers is 70 and their difference is 2. What is the larger number?
- 36.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?
- 37.One number is 4 times another. Their difference is 18. What is the smaller number?
- 38.The sum of 3 consecutive numbers is 69. What is the largest of them?
- 39.The sum of two numbers is 98 and their difference is 20. What is the larger number?
- 40.The sum of two numbers is 147 and their difference is 19. What is the smaller number?
Answer key
- 54
- 78
- 37
- 31
- 19
- 89
- 1
- 6
- 25
- 28
- 23
- 37
- 63
- 46
- 72
- 68
- 61
- 10
- 16
- 69
- 79
- 38
- 40
- 37
- 12
- 31
- 17
- 20
- 16
- 35
- 56
- 57
- 67
- 96
- 36
- 45
- 6
- 24
- 59
- 64
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