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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 381 · 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 4 consecutive even numbers is 132. What is the largest of them?
  2. 2.The sum of two numbers is 25 and their difference is 21. What is the larger number?
  3. 3.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  4. 4.One number is 6 times another. Their difference is 45. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 100. What is the largest of them?
  6. 6.One number is 6 times another. Their difference is 190. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  8. 8.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  10. 10.The sum of two numbers is 122 and their difference is 14. What is the smaller number?
  11. 11.One number is 3 times another. Their difference is 8. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 156. What is the largest of them?
  14. 14.The sum of two numbers is 101 and their difference is 15. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 70. What is the largest of them?
  16. 16.One number is 6 times another. Their difference is 25. What is the smaller number?
  17. 17.The sum of two numbers is 45 and their difference is 33. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  19. 19.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?
  20. 20.The sum of 5 consecutive numbers is 60. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  22. 22.The sum of two numbers is 138 and their difference is 12. What is the smaller number?
  23. 23.One number is 5 times another. Their difference is 12. What is the smaller number?
  24. 24.One number is 3 times another. Their difference is 52. What is the smaller number?
  25. 25.The sum of two numbers is 63 and their difference is 43. What is the smaller number?
  26. 26.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?
  27. 27.The sum of two numbers is 100 and their difference is 60. What is the larger number?
  28. 28.The sum of two numbers is 75 and their difference is 55. What is the smaller number?
  29. 29.The sum of two numbers is 50 and their difference is 38. What is the smaller number?
  30. 30.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  33. 33.One number is 3 times another. Their difference is 68. What is the smaller number?
  34. 34.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  35. 35.The sum of 5 consecutive numbers is 75. What is the largest of them?
  36. 36.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  38. 38.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  39. 39.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 78. What is the largest of them?

Answer key

  1. 36
  2. 23
  3. 74
  4. 9
  5. 22
  6. 38
  7. 48
  8. 33
  9. 7
  10. 54
  11. 4
  12. 33
  13. 53
  14. 43
  15. 16
  16. 5
  17. 6
  18. 34
  19. 79
  20. 14
  21. 9
  22. 63
  23. 3
  24. 26
  25. 10
  26. 18
  27. 80
  28. 10
  29. 6
  30. 16
  31. 30
  32. 45
  33. 34
  34. 26
  35. 17
  36. 6
  37. 34
  38. 58
  39. 32
  40. 21

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