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 5. When the digits swap places, the number goes up by 27. What is the number?
- 2.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?
- 3.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
- 4.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?
- 5.The sum of 5 consecutive numbers is 290. What is the largest of them?
- 6.The sum of two numbers is 56 and their difference is 42. What is the larger number?
- 7.The sum of 5 consecutive numbers is 85. What is the largest of them?
- 8.The sum of 4 consecutive numbers is 186. What is the largest of them?
- 9.One number is 5 times another. Their difference is 124. What is the smaller number?
- 10.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?
- 11.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?
- 12.The sum of 3 consecutive numbers is 60. What is the smallest of them?
- 13.The sum of two numbers is 118 and their difference is 10. What is the smaller number?
- 14.The sum of 4 consecutive numbers is 246. What is the largest of them?
- 15.One number is 5 times another. Their difference is 108. What is the smaller number?
- 16.The sum of two numbers is 53 and their difference is 5. What is the larger number?
- 17.One number is 5 times another. Their difference is 40. What is the smaller number?
- 18.The sum of 4 consecutive even numbers is 36. What is the largest of them?
- 19.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
- 20.The sum of two numbers is 106 and their difference is 90. What is the larger number?
- 21.The sum of 3 consecutive numbers is 147. What is the largest of them?
- 22.The sum of two numbers is 60 and their difference is 32. What is the larger number?
- 23.The sum of 3 consecutive even numbers is 228. What is the largest of them?
- 24.The sum of two numbers is 35 and their difference is 1. What is the larger number?
- 25.The sum of 3 consecutive numbers is 159. What is the largest of them?
- 26.The sum of two numbers is 116 and their difference is 8. What is the smaller number?
- 27.The sum of two numbers is 43 and their difference is 15. What is the smaller number?
- 28.The sum of 5 consecutive numbers is 150. What is the largest of them?
- 29.One number is 6 times another. Their difference is 165. What is the smaller number?
- 30.The sum of 5 consecutive numbers is 120. What is the largest of them?
- 31.One number is 6 times another. Their difference is 120. What is the smaller number?
- 32.One number is 4 times another. Their difference is 120. What is the smaller number?
- 33.One number is 3 times another. Their difference is 52. What is the smaller number?
- 34.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
- 35.The sum of two numbers is 155 and their difference is 43. What is the larger number?
- 36.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
- 37.The sum of 3 consecutive numbers is 174. What is the smallest of them?
- 38.The sum of 5 consecutive numbers is 220. What is the largest of them?
- 39.The sum of two numbers is 30 and their difference is 8. What is the smaller number?
- 40.The sum of two numbers is 45 and their difference is 33. What is the smaller number?
Answer key
- 14
- 36
- 29
- 89
- 60
- 49
- 19
- 48
- 31
- 57
- 79
- 19
- 54
- 63
- 27
- 29
- 10
- 12
- 39
- 98
- 50
- 46
- 78
- 18
- 54
- 54
- 14
- 32
- 33
- 26
- 24
- 40
- 26
- 32
- 99
- 46
- 57
- 46
- 11
- 6
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