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 4 times another. Their difference is 48. What is the smaller number?
- 2.The sum of 4 consecutive even numbers is 268. What is the largest of them?
- 3.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
- 4.The sum of two numbers is 48 and their difference is 12. What is the larger number?
- 5.The sum of 4 consecutive numbers is 162. What is the largest of them?
- 6.The sum of 4 consecutive numbers is 178. What is the smallest of them?
- 7.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
- 8.The sum of 4 consecutive numbers is 126. What is the largest of them?
- 9.One number is 5 times another. Their difference is 116. What is the smaller number?
- 10.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
- 11.One number is 6 times another. Their difference is 135. What is the smaller number?
- 12.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?
- 13.One number is 6 times another. Their difference is 175. What is the smaller number?
- 14.One number is 3 times another. Their difference is 76. What is the smaller number?
- 15.One number is 4 times another. Their difference is 93. What is the smaller number?
- 16.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
- 17.The sum of two numbers is 13 and their difference is 11. What is the larger number?
- 18.One number is 4 times another. Their difference is 102. What is the smaller number?
- 19.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
- 20.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
- 21.One number is 4 times another. Their difference is 57. What is the smaller number?
- 22.One number is 5 times another. Their difference is 16. What is the smaller number?
- 23.The sum of 5 consecutive numbers is 60. What is the smallest of them?
- 24.The sum of 4 consecutive numbers is 38. What is the largest of them?
- 25.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
- 26.The sum of 4 consecutive numbers is 222. What is the largest of them?
- 27.The sum of 3 consecutive numbers is 93. What is the largest of them?
- 28.One number is 6 times another. Their difference is 110. What is the smaller number?
- 29.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
- 30.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
- 31.The sum of two numbers is 148 and their difference is 6. What is the smaller number?
- 32.The sum of two numbers is 53 and their difference is 37. What is the larger number?
- 33.The sum of 5 consecutive numbers is 225. What is the smallest of them?
- 34.The sum of 4 consecutive numbers is 234. What is the smallest of them?
- 35.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
- 36.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
- 37.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?
- 38.One number is 4 times another. Their difference is 69. What is the smaller number?
- 39.The sum of 4 consecutive numbers is 154. What is the largest of them?
- 40.The sum of two numbers is 78 and their difference is 46. What is the smaller number?
Answer key
- 16
- 70
- 53
- 30
- 42
- 43
- 74
- 33
- 29
- 15
- 27
- 67
- 35
- 38
- 31
- 68
- 12
- 34
- 43
- 41
- 19
- 4
- 10
- 11
- 43
- 57
- 32
- 22
- 30
- 48
- 71
- 45
- 43
- 57
- 51
- 28
- 13
- 23
- 40
- 16
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