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 4 consecutive numbers is 166. What is the smallest of them?
- 2.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
- 3.The sum of 4 consecutive even numbers is 100. What is the largest of them?
- 4.The sum of 4 consecutive even numbers is 44. What is the largest of them?
- 5.The sum of two numbers is 109 and their difference is 85. What is the smaller number?
- 6.The sum of two numbers is 17 and their difference is 9. What is the smaller number?
- 7.The sum of 4 consecutive numbers is 170. What is the smallest of them?
- 8.The sum of 4 consecutive numbers is 182. What is the smallest of them?
- 9.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
- 10.The sum of 4 consecutive even numbers is 228. What is the largest of them?
- 11.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
- 12.The sum of 4 consecutive even numbers is 260. What is the largest of them?
- 13.One number is 2 times another. Their difference is 14. What is the smaller number?
- 14.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
- 15.The sum of 3 consecutive numbers is 123. What is the largest of them?
- 16.The sum of two numbers is 127 and their difference is 25. What is the larger number?
- 17.One number is 4 times another. Their difference is 60. What is the smaller number?
- 18.The sum of 3 consecutive numbers is 180. What is the largest of them?
- 19.One number is 4 times another. Their difference is 33. What is the smaller number?
- 20.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?
- 21.The sum of two numbers is 23 and their difference is 17. What is the smaller number?
- 22.One number is 6 times another. Their difference is 110. What is the smaller number?
- 23.The sum of two numbers is 25 and their difference is 7. What is the larger number?
- 24.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
- 25.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
- 26.The sum of 3 consecutive numbers is 18. What is the smallest of them?
- 27.The sum of two numbers is 123 and their difference is 5. What is the smaller number?
- 28.The sum of two numbers is 178 and their difference is 8. What is the larger number?
- 29.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
- 30.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
- 31.The sum of 5 consecutive numbers is 90. What is the largest of them?
- 32.The sum of 4 consecutive numbers is 162. What is the smallest of them?
- 33.One number is 3 times another. Their difference is 22. What is the smaller number?
- 34.The sum of two numbers is 50 and their difference is 46. What is the smaller number?
- 35.The sum of two numbers is 87 and their difference is 3. What is the smaller number?
- 36.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
- 37.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
- 38.One number is 5 times another. Their difference is 80. What is the smaller number?
- 39.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?
- 40.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
Answer key
- 40
- 79
- 28
- 14
- 12
- 4
- 41
- 44
- 53
- 60
- 63
- 68
- 14
- 47
- 42
- 76
- 20
- 61
- 11
- 47
- 3
- 22
- 16
- 56
- 9
- 5
- 59
- 93
- 34
- 70
- 20
- 39
- 11
- 2
- 42
- 78
- 73
- 20
- 89
- 33
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