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 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?
- 2.The sum of two numbers is 162 and their difference is 2. What is the larger number?
- 3.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
- 4.One number is 4 times another. Their difference is 60. What is the smaller number?
- 5.The sum of two numbers is 56 and their difference is 14. What is the larger number?
- 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 3 consecutive odd numbers is 87. What is the smallest of them?
- 8.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?
- 9.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?
- 10.One number is 5 times another. Their difference is 140. What is the smaller number?
- 11.One number is 4 times another. Their difference is 36. What is the smaller number?
- 12.The sum of two numbers is 33 and their difference is 1. What is the larger number?
- 13.The sum of 4 consecutive numbers is 86. What is the largest of them?
- 14.The sum of two numbers is 23 and their difference is 13. What is the smaller number?
- 15.The sum of two numbers is 34 and their difference is 16. What is the smaller number?
- 16.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?
- 17.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?
- 18.The sum of 5 consecutive numbers is 35. What is the largest of them?
- 19.One number is 2 times another. Their difference is 17. What is the smaller number?
- 20.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
- 21.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
- 22.The sum of two numbers is 95 and their difference is 47. What is the larger number?
- 23.The sum of two numbers is 85 and their difference is 73. What is the smaller number?
- 24.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
- 25.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?
- 26.One number is 5 times another. Their difference is 148. What is the smaller number?
- 27.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
- 28.The sum of two numbers is 53 and their difference is 11. What is the larger number?
- 29.The sum of 5 consecutive numbers is 90. What is the smallest of them?
- 30.The sum of two numbers is 26 and their difference is 6. What is the larger number?
- 31.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
- 32.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
- 33.The sum of 4 consecutive numbers is 174. What is the largest of them?
- 34.The sum of 5 consecutive numbers is 140. What is the largest of them?
- 35.The sum of two numbers is 131 and their difference is 19. What is the larger number?
- 36.One number is 3 times another. Their difference is 80. What is the smaller number?
- 37.One number is 2 times another. Their difference is 11. What is the smaller number?
- 38.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?
- 39.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
- 40.The sum of two numbers is 116 and their difference is 16. What is the larger number?
Answer key
- 24
- 82
- 41
- 20
- 35
- 89
- 27
- 16
- 78
- 35
- 12
- 17
- 23
- 5
- 9
- 69
- 38
- 9
- 17
- 13
- 23
- 71
- 6
- 61
- 19
- 37
- 75
- 32
- 16
- 16
- 47
- 41
- 45
- 30
- 75
- 40
- 11
- 59
- 58
- 66
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