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 135. What is the largest of them?
- 2.The sum of two numbers is 134 and their difference is 48. What is the smaller number?
- 3.The sum of two numbers is 20 and their difference is 2. What is the larger number?
- 4.The sum of 5 consecutive numbers is 95. What is the largest of them?
- 5.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?
- 6.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
- 7.The sum of 5 consecutive numbers is 70. What is the largest of them?
- 8.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
- 9.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
- 10.One number is 4 times another. Their difference is 15. What is the smaller number?
- 11.One number is 3 times another. Their difference is 38. What is the smaller number?
- 12.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
- 13.One number is 2 times another. Their difference is 5. What is the smaller number?
- 14.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
- 15.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?
- 16.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
- 17.The sum of 3 consecutive numbers is 183. What is the smallest of them?
- 18.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?
- 19.One number is 6 times another. Their difference is 155. What is the smaller number?
- 20.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
- 21.One number is 5 times another. Their difference is 32. What is the smaller number?
- 22.One number is 3 times another. Their difference is 64. What is the smaller number?
- 23.One number is 2 times another. Their difference is 13. What is the smaller number?
- 24.The sum of 4 consecutive numbers is 246. What is the largest of them?
- 25.The sum of two numbers is 121 and their difference is 3. What is the larger number?
- 26.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
- 27.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?
- 28.The sum of 3 consecutive even numbers is 60. What is the largest of them?
- 29.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
- 30.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
- 31.The sum of 4 consecutive even numbers is 108. What is the largest of them?
- 32.The sum of 5 consecutive numbers is 180. What is the smallest of them?
- 33.One number is 6 times another. Their difference is 145. What is the smaller number?
- 34.The sum of two numbers is 142 and their difference is 44. What is the smaller number?
- 35.The sum of 4 consecutive numbers is 170. What is the smallest of them?
- 36.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
- 37.The sum of 3 consecutive even numbers is 36. What is the largest of them?
- 38.The sum of two numbers is 109 and their difference is 27. What is the smaller number?
- 39.The sum of 5 consecutive numbers is 170. What is the largest of them?
- 40.The sum of 3 consecutive numbers is 81. What is the largest of them?
Answer key
- 29
- 43
- 11
- 21
- 14
- 47
- 16
- 59
- 48
- 5
- 19
- 72
- 5
- 81
- 47
- 33
- 60
- 89
- 31
- 46
- 8
- 32
- 13
- 63
- 62
- 44
- 29
- 22
- 44
- 17
- 30
- 34
- 29
- 49
- 41
- 21
- 14
- 41
- 36
- 28
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