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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 700 · 40 questions
TalentJR

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. 1.The sum of two numbers is 102 and their difference is 68. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  4. 4.One number is 5 times another. Their difference is 148. What is the smaller number?
  5. 5.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?
  6. 6.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?
  7. 7.One number is 5 times another. Their difference is 112. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 42. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  14. 14.The sum of two numbers is 146 and their difference is 32. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 110. What is the largest of them?
  16. 16.One number is 5 times another. Their difference is 44. What is the smaller number?
  17. 17.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 105. What is the largest of them?
  20. 20.The sum of two numbers is 175 and their difference is 9. What is the smaller number?
  21. 21.One number is 4 times another. Their difference is 93. What is the smaller number?
  22. 22.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  23. 23.The sum of two numbers is 63 and their difference is 15. What is the larger number?
  24. 24.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  27. 27.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  28. 28.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  29. 29.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  30. 30.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?
  31. 31.The sum of two numbers is 69 and their difference is 9. What is the larger number?
  32. 32.The sum of two numbers is 109 and their difference is 45. What is the larger number?
  33. 33.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  34. 34.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  35. 35.The sum of two numbers is 103 and their difference is 87. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  37. 37.One number is 3 times another. Their difference is 10. What is the smaller number?
  38. 38.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  39. 39.The sum of two numbers is 30 and their difference is 12. What is the larger number?
  40. 40.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?

Answer key

  1. 17
  2. 32
  3. 28
  4. 37
  5. 67
  6. 89
  7. 28
  8. 79
  9. 15
  10. 56
  11. 39
  12. 14
  13. 29
  14. 57
  15. 24
  16. 11
  17. 78
  18. 58
  19. 23
  20. 83
  21. 31
  22. 24
  23. 39
  24. 8
  25. 6
  26. 18
  27. 25
  28. 51
  29. 81
  30. 78
  31. 39
  32. 77
  33. 29
  34. 44
  35. 8
  36. 37
  37. 5
  38. 59
  39. 21
  40. 25

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