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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 856 · 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 80. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  3. 3.The sum of two numbers is 42 and their difference is 6. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  5. 5.One number is 6 times another. Their difference is 25. What is the smaller number?
  6. 6.The sum of two numbers is 164 and their difference is 34. What is the smaller number?
  7. 7.One number is 3 times another. Their difference is 58. What is the smaller number?
  8. 8.One number is 5 times another. Their difference is 60. What is the smaller number?
  9. 9.One number is 4 times another. Their difference is 15. What is the smaller number?
  10. 10.One number is 3 times another. Their difference is 64. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  12. 12.One number is 5 times another. Their difference is 96. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  14. 14.The sum of two numbers is 122 and their difference is 32. What is the larger number?
  15. 15.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 132. What is the largest of them?
  17. 17.The sum of two numbers is 72 and their difference is 68. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  19. 19.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?
  20. 20.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  21. 21.One number is 6 times another. Their difference is 80. What is the smaller number?
  22. 22.One number is 4 times another. Their difference is 114. What is the smaller number?
  23. 23.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?
  24. 24.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  25. 25.One number is 5 times another. Their difference is 156. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 40. What is the smaller number?
  27. 27.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?
  28. 28.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  29. 29.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  30. 30.The sum of two numbers is 32 and their difference is 18. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  32. 32.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 285. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.The sum of two numbers is 83 and their difference is 21. What is the smaller number?
  37. 37.The sum of two numbers is 36 and their difference is 12. What is the smaller number?
  38. 38.The sum of two numbers is 48 and their difference is 12. What is the larger number?
  39. 39.One number is 3 times another. Their difference is 8. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 260. What is the smallest of them?

Answer key

  1. 14
  2. 56
  3. 18
  4. 33
  5. 5
  6. 65
  7. 29
  8. 15
  9. 5
  10. 32
  11. 10
  12. 24
  13. 31
  14. 77
  15. 83
  16. 45
  17. 2
  18. 26
  19. 18
  20. 51
  21. 16
  22. 38
  23. 67
  24. 19
  25. 39
  26. 40
  27. 89
  28. 16
  29. 14
  30. 7
  31. 49
  32. 71
  33. 29
  34. 59
  35. 37
  36. 31
  37. 12
  38. 30
  39. 4
  40. 50

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