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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 889 · 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.One number is 4 times another. Their difference is 39. What is the smaller number?
  2. 2.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?
  3. 3.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?
  4. 4.The sum of two numbers is 39 and their difference is 25. What is the larger number?
  5. 5.One number is 4 times another. Their difference is 66. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 105. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  8. 8.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  9. 9.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?
  10. 10.The sum of 4 consecutive numbers is 238. What is the largest of them?
  11. 11.The sum of two numbers is 134 and their difference is 16. What is the larger number?
  12. 12.One number is 3 times another. Their difference is 40. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  14. 14.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  15. 15.The sum of two numbers is 94 and their difference is 60. What is the larger number?
  16. 16.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  18. 18.One number is 6 times another. Their difference is 185. What is the smaller number?
  19. 19.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?
  20. 20.One number is 2 times another. Their difference is 22. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 120. What is the largest of them?
  23. 23.The sum of two numbers is 19 and their difference is 13. What is the smaller number?
  24. 24.One number is 6 times another. Their difference is 165. What is the smaller number?
  25. 25.The sum of two numbers is 100 and their difference is 32. What is the larger number?
  26. 26.The sum of two numbers is 80 and their difference is 26. What is the smaller number?
  27. 27.The sum of two numbers is 51 and their difference is 45. What is the larger number?
  28. 28.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  30. 30.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  33. 33.The sum of two numbers is 100 and their difference is 94. What is the larger number?
  34. 34.The sum of two numbers is 42 and their difference is 36. What is the larger number?
  35. 35.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  36. 36.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?
  37. 37.One number is 4 times another. Their difference is 78. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 28. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 138. 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. 13
  2. 34
  3. 48
  4. 32
  5. 22
  6. 36
  7. 58
  8. 63
  9. 89
  10. 61
  11. 75
  12. 20
  13. 34
  14. 23
  15. 77
  16. 71
  17. 19
  18. 37
  19. 78
  20. 22
  21. 60
  22. 41
  23. 3
  24. 33
  25. 66
  26. 27
  27. 48
  28. 85
  29. 23
  30. 25
  31. 14
  32. 46
  33. 97
  34. 39
  35. 58
  36. 37
  37. 26
  38. 7
  39. 45
  40. 21

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