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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 560 · 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 13. When the digits swap places, the number goes up by 45. What is the number?
  2. 2.The sum of two numbers is 32 and their difference is 28. What is the larger number?
  3. 3.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?
  4. 4.One number is 4 times another. Their difference is 87. What is the smaller number?
  5. 5.One number is 3 times another. Their difference is 50. What is the smaller number?
  6. 6.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  7. 7.One number is 4 times another. Their difference is 42. What is the smaller number?
  8. 8.The sum of two numbers is 161 and their difference is 35. What is the smaller number?
  9. 9.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?
  10. 10.The sum of two numbers is 108 and their difference is 18. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 185. What is the largest of them?
  12. 12.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  13. 13.The sum of two numbers is 19 and their difference is 17. What is the larger number?
  14. 14.The sum of 4 consecutive even numbers is 84. What is the largest of them?
  15. 15.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 74. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 132. What is the largest of them?
  20. 20.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  22. 22.One number is 6 times another. Their difference is 195. What is the smaller number?
  23. 23.One number is 3 times another. Their difference is 14. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  25. 25.The sum of two numbers is 14 and their difference is 12. What is the larger number?
  26. 26.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  27. 27.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?
  28. 28.The sum of two numbers is 45 and their difference is 9. What is the larger number?
  29. 29.The sum of two numbers is 18 and their difference is 10. What is the larger number?
  30. 30.One number is 5 times another. Their difference is 48. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  33. 33.The sum of two numbers is 56 and their difference is 6. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  35. 35.The sum of two numbers is 135 and their difference is 51. What is the larger number?
  36. 36.One number is 4 times another. Their difference is 57. What is the smaller number?
  37. 37.The sum of two numbers is 30 and their difference is 22. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 110. What is the largest of them?
  39. 39.One number is 2 times another. Their difference is 8. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 50. What is the largest of them?

Answer key

  1. 49
  2. 30
  3. 89
  4. 29
  5. 25
  6. 15
  7. 14
  8. 63
  9. 48
  10. 45
  11. 39
  12. 43
  13. 18
  14. 24
  15. 43
  16. 20
  17. 58
  18. 12
  19. 45
  20. 49
  21. 47
  22. 39
  23. 7
  24. 50
  25. 13
  26. 15
  27. 37
  28. 27
  29. 14
  30. 12
  31. 31
  32. 40
  33. 25
  34. 10
  35. 93
  36. 19
  37. 4
  38. 24
  39. 8
  40. 12

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