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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 617 · 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 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?
  2. 2.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  4. 4.The sum of two numbers is 172 and their difference is 16. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  6. 6.One number is 4 times another. Their difference is 81. What is the smaller number?
  7. 7.The sum of 5 consecutive numbers is 105. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 185. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 108. What is the largest of them?
  10. 10.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?
  11. 11.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  12. 12.One number is 3 times another. Their difference is 28. What is the smaller number?
  13. 13.One number is 6 times another. Their difference is 75. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  17. 17.One number is 3 times another. Their difference is 74. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  19. 19.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  21. 21.The sum of two numbers is 47 and their difference is 19. What is the smaller number?
  22. 22.One number is 5 times another. Their difference is 112. What is the smaller number?
  23. 23.One number is 3 times another. Their difference is 50. What is the smaller number?
  24. 24.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  25. 25.One number is 2 times another. Their difference is 8. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 4. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  28. 28.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  29. 29.One number is 2 times another. Their difference is 21. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  31. 31.One number is 2 times another. Their difference is 28. What is the smaller number?
  32. 32.The sum of two numbers is 66 and their difference is 28. What is the smaller number?
  33. 33.One number is 6 times another. Their difference is 80. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  35. 35.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  36. 36.One number is 2 times another. Their difference is 38. What is the smaller number?
  37. 37.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  38. 38.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  39. 39.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?

Answer key

  1. 78
  2. 52
  3. 60
  4. 78
  5. 33
  6. 27
  7. 23
  8. 39
  9. 37
  10. 89
  11. 32
  12. 14
  13. 15
  14. 67
  15. 52
  16. 49
  17. 37
  18. 18
  19. 79
  20. 27
  21. 14
  22. 28
  23. 25
  24. 20
  25. 8
  26. 4
  27. 81
  28. 79
  29. 21
  30. 43
  31. 28
  32. 19
  33. 16
  34. 51
  35. 68
  36. 38
  37. 49
  38. 50
  39. 66
  40. 69

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