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 5 consecutive numbers is 190. What is the largest of them?
- 2.One number is 6 times another. Their difference is 50. What is the smaller number?
- 3.The sum of 4 consecutive numbers is 54. What is the smallest of them?
- 4.The sum of 5 consecutive numbers is 195. What is the largest of them?
- 5.The sum of 3 consecutive even numbers is 126. What is the largest of them?
- 6.The sum of two numbers is 51 and their difference is 7. What is the larger number?
- 7.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
- 8.One number is 4 times another. Their difference is 111. What is the smaller number?
- 9.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
- 10.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?
- 11.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
- 12.The sum of two numbers is 23 and their difference is 5. What is the smaller number?
- 13.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
- 14.The sum of 4 consecutive numbers is 42. What is the smallest of them?
- 15.The sum of 5 consecutive numbers is 240. What is the largest of them?
- 16.The sum of 4 consecutive numbers is 234. What is the smallest of them?
- 17.One number is 2 times another. Their difference is 8. What is the smaller number?
- 18.The sum of two numbers is 85 and their difference is 67. What is the smaller number?
- 19.One number is 4 times another. Their difference is 99. What is the smaller number?
- 20.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
- 21.One number is 4 times another. Their difference is 75. What is the smaller number?
- 22.The sum of two numbers is 88 and their difference is 10. What is the larger number?
- 23.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
- 24.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?
- 25.One number is 3 times another. Their difference is 54. What is the smaller number?
- 26.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?
- 27.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?
- 28.The sum of two numbers is 70 and their difference is 28. What is the smaller number?
- 29.The sum of 4 consecutive even numbers is 84. What is the largest of them?
- 30.The sum of two numbers is 12 and their difference is 8. What is the smaller number?
- 31.The sum of 5 consecutive numbers is 160. What is the largest of them?
- 32.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
- 33.The sum of 5 consecutive numbers is 190. What is the smallest of them?
- 34.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
- 35.The sum of 5 consecutive numbers is 265. What is the smallest of them?
- 36.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?
- 37.The sum of two numbers is 24 and their difference is 8. What is the larger number?
- 38.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?
- 39.One number is 3 times another. Their difference is 56. What is the smaller number?
- 40.The sum of two numbers is 100 and their difference is 92. What is the smaller number?
Answer key
- 40
- 10
- 12
- 41
- 44
- 29
- 67
- 37
- 10
- 89
- 85
- 9
- 27
- 9
- 50
- 57
- 8
- 9
- 33
- 49
- 25
- 49
- 37
- 47
- 27
- 67
- 19
- 21
- 24
- 2
- 34
- 33
- 36
- 43
- 51
- 38
- 16
- 35
- 28
- 4
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