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.One number is 5 times another. Their difference is 144. What is the smaller number?
- 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 74. What is the smallest of them?
- 4.The sum of 3 consecutive numbers is 96. What is the smallest of them?
- 5.The sum of 4 consecutive numbers is 82. What is the largest of them?
- 6.The sum of 3 consecutive numbers is 75. What is the largest of them?
- 7.The sum of 4 consecutive numbers is 70. What is the smallest of them?
- 8.One number is 2 times another. Their difference is 37. What is the smaller number?
- 9.One number is 4 times another. Their difference is 81. What is the smaller number?
- 10.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
- 11.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
- 12.One number is 3 times another. Their difference is 24. What is the smaller number?
- 13.One number is 5 times another. Their difference is 40. What is the smaller number?
- 14.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
- 15.The sum of 3 consecutive numbers is 33. What is the smallest of them?
- 16.One number is 2 times another. Their difference is 17. What is the smaller number?
- 17.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
- 18.The sum of 5 consecutive numbers is 250. What is the largest of them?
- 19.The sum of 4 consecutive numbers is 130. What is the largest of them?
- 20.The sum of two numbers is 18 and their difference is 10. What is the smaller number?
- 21.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
- 22.The sum of 5 consecutive numbers is 215. What is the smallest of them?
- 23.The sum of two numbers is 154 and their difference is 10. What is the larger number?
- 24.One number is 5 times another. Their difference is 96. What is the smaller number?
- 25.The sum of two numbers is 48 and their difference is 4. What is the smaller number?
- 26.The sum of two numbers is 39 and their difference is 21. What is the smaller number?
- 27.The sum of 4 consecutive even numbers is 92. What is the largest of them?
- 28.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?
- 29.The sum of 3 consecutive numbers is 63. What is the smallest of them?
- 30.The sum of two numbers is 96 and their difference is 4. What is the smaller number?
- 31.The sum of two numbers is 151 and their difference is 39. What is the smaller number?
- 32.One number is 5 times another. Their difference is 140. What is the smaller number?
- 33.One number is 5 times another. Their difference is 72. What is the smaller number?
- 34.The sum of 5 consecutive numbers is 220. What is the smallest of them?
- 35.One number is 3 times another. Their difference is 26. What is the smaller number?
- 36.One number is 2 times another. Their difference is 32. What is the smaller number?
- 37.The sum of 3 consecutive numbers is 27. What is the smallest of them?
- 38.The sum of two numbers is 116 and their difference is 24. What is the larger number?
- 39.The sum of 3 consecutive numbers is 126. What is the largest of them?
- 40.One number is 3 times another. Their difference is 64. What is the smaller number?
Answer key
- 36
- 89
- 17
- 31
- 22
- 26
- 16
- 37
- 27
- 15
- 13
- 12
- 10
- 28
- 10
- 17
- 25
- 52
- 34
- 4
- 59
- 41
- 82
- 24
- 22
- 9
- 26
- 35
- 20
- 46
- 56
- 35
- 18
- 42
- 13
- 32
- 8
- 70
- 43
- 32
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