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 170. What is the smallest of them?
- 2.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?
- 3.The sum of 4 consecutive numbers is 158. What is the largest of them?
- 4.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
- 5.One number is 5 times another. Their difference is 80. What is the smaller number?
- 6.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?
- 7.One number is 4 times another. Their difference is 57. What is the smaller number?
- 8.The sum of 3 consecutive numbers is 147. What is the largest of them?
- 9.The sum of 3 consecutive numbers is 123. What is the smallest of them?
- 10.The sum of two numbers is 16 and their difference is 12. What is the smaller number?
- 11.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?
- 12.The sum of two numbers is 96 and their difference is 76. What is the larger number?
- 13.The sum of two numbers is 138 and their difference is 28. What is the smaller number?
- 14.One number is 3 times another. Their difference is 20. What is the smaller number?
- 15.The sum of 4 consecutive numbers is 38. What is the smallest of them?
- 16.The sum of 4 consecutive numbers is 74. What is the largest of them?
- 17.The sum of 5 consecutive numbers is 105. What is the largest of them?
- 18.The sum of 4 consecutive even numbers is 172. What is the largest of them?
- 19.The sum of two numbers is 35 and their difference is 17. What is the larger number?
- 20.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?
- 21.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
- 22.The sum of 4 consecutive numbers is 206. What is the smallest of them?
- 23.The sum of 3 consecutive numbers is 45. What is the smallest of them?
- 24.The sum of 5 consecutive numbers is 190. What is the largest of them?
- 25.The sum of two numbers is 70 and their difference is 68. What is the larger number?
- 26.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
- 27.The sum of 4 consecutive even numbers is 116. What is the largest of them?
- 28.The sum of 4 consecutive numbers is 238. What is the largest of them?
- 29.The sum of 4 consecutive numbers is 90. What is the largest of them?
- 30.The sum of two numbers is 33 and their difference is 29. What is the smaller number?
- 31.The sum of 4 consecutive even numbers is 188. What is the largest of them?
- 32.The sum of 5 consecutive numbers is 120. What is the smallest of them?
- 33.The sum of two numbers is 54 and their difference is 28. What is the larger number?
- 34.The sum of 3 consecutive numbers is 75. What is the smallest of them?
- 35.One number is 5 times another. Their difference is 148. What is the smaller number?
- 36.The sum of 3 consecutive numbers is 150. What is the largest of them?
- 37.The sum of 3 consecutive numbers is 18. What is the smallest of them?
- 38.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
- 39.The sum of 5 consecutive numbers is 85. What is the smallest of them?
- 40.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?
Answer key
- 32
- 89
- 41
- 29
- 20
- 47
- 19
- 50
- 40
- 2
- 19
- 86
- 55
- 10
- 8
- 20
- 23
- 46
- 26
- 26
- 15
- 50
- 14
- 40
- 69
- 17
- 32
- 61
- 24
- 2
- 50
- 22
- 41
- 24
- 37
- 51
- 5
- 43
- 15
- 36
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