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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 625 · 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 5 consecutive numbers is 285. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 45. What is the largest of them?
  3. 3.The sum of two numbers is 147 and their difference is 43. What is the larger number?
  4. 4.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  6. 6.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  8. 8.The sum of two numbers is 93 and their difference is 53. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  11. 11.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  13. 13.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?
  14. 14.The sum of two numbers is 33 and their difference is 9. What is the smaller number?
  15. 15.The sum of two numbers is 24 and their difference is 12. What is the smaller number?
  16. 16.The sum of two numbers is 59 and their difference is 13. What is the smaller number?
  17. 17.One number is 6 times another. Their difference is 25. What is the smaller number?
  18. 18.The sum of two numbers is 58 and their difference is 28. What is the larger number?
  19. 19.The sum of two numbers is 74 and their difference is 70. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  21. 21.The sum of two numbers is 86 and their difference is 28. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  23. 23.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  24. 24.The sum of 5 consecutive numbers is 155. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  26. 26.The sum of two numbers is 41 and their difference is 11. What is the smaller number?
  27. 27.The sum of two numbers is 65 and their difference is 15. What is the larger number?
  28. 28.One number is 2 times another. Their difference is 27. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  30. 30.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  31. 31.The sum of two numbers is 13 and their difference is 9. What is the larger number?
  32. 32.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  33. 33.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?
  34. 34.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  35. 35.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  36. 36.One number is 2 times another. Their difference is 11. What is the smaller number?
  37. 37.The sum of two numbers is 96 and their difference is 28. What is the smaller number?
  38. 38.The sum of two numbers is 71 and their difference is 19. What is the larger number?
  39. 39.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 310. What is the smallest of them?

Answer key

  1. 55
  2. 16
  3. 95
  4. 79
  5. 33
  6. 33
  7. 57
  8. 20
  9. 30
  10. 30
  11. 14
  12. 13
  13. 28
  14. 12
  15. 6
  16. 23
  17. 5
  18. 43
  19. 2
  20. 18
  21. 29
  22. 29
  23. 17
  24. 33
  25. 49
  26. 15
  27. 40
  28. 27
  29. 25
  30. 69
  31. 11
  32. 19
  33. 89
  34. 24
  35. 61
  36. 11
  37. 34
  38. 45
  39. 32
  40. 60

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