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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 875 · 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 42. What is the smaller number?
  2. 2.The sum of two numbers is 28 and their difference is 16. What is the smaller number?
  3. 3.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?
  4. 4.The sum of two numbers is 91 and their difference is 39. What is the smaller number?
  5. 5.The sum of two numbers is 42 and their difference is 30. What is the smaller number?
  6. 6.One number is 3 times another. Their difference is 34. What is the smaller number?
  7. 7.The sum of two numbers is 40 and their difference is 10. What is the larger number?
  8. 8.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  9. 9.The sum of two numbers is 150 and their difference is 32. What is the smaller number?
  10. 10.The sum of two numbers is 109 and their difference is 53. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 66. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 48. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 245. What is the largest of them?
  15. 15.The sum of two numbers is 32 and their difference is 12. What is the larger number?
  16. 16.The sum of two numbers is 31 and their difference is 9. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 22. What is the smaller number?
  18. 18.The sum of two numbers is 85 and their difference is 45. What is the larger number?
  19. 19.The sum of 5 consecutive numbers is 280. What is the largest of them?
  20. 20.The sum of two numbers is 85 and their difference is 15. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 182. What is the largest of them?
  22. 22.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  23. 23.One number is 4 times another. Their difference is 105. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  25. 25.One number is 5 times another. Their difference is 140. What is the smaller number?
  26. 26.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?
  27. 27.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  28. 28.The sum of 5 consecutive numbers is 295. What is the smallest 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 3 consecutive odd numbers is 159. What is the smallest of them?
  31. 31.One number is 5 times another. Their difference is 12. What is the smaller number?
  32. 32.The sum of two numbers is 34 and their difference is 20. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 185. What is the largest of them?
  34. 34.The sum of two numbers is 90 and their difference is 54. What is the smaller number?
  35. 35.The sum of two numbers is 83 and their difference is 21. What is the smaller number?
  36. 36.The sum of two numbers is 131 and their difference is 57. What is the smaller number?
  37. 37.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?
  38. 38.The sum of two numbers is 55 and their difference is 19. What is the larger number?
  39. 39.The sum of two numbers is 55 and their difference is 29. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 174. What is the smallest of them?

Answer key

  1. 14
  2. 6
  3. 78
  4. 26
  5. 6
  6. 17
  7. 25
  8. 36
  9. 59
  10. 28
  11. 18
  12. 17
  13. 70
  14. 51
  15. 22
  16. 11
  17. 11
  18. 65
  19. 58
  20. 35
  21. 47
  22. 13
  23. 35
  24. 35
  25. 35
  26. 46
  27. 59
  28. 57
  29. 23
  30. 51
  31. 3
  32. 7
  33. 39
  34. 18
  35. 31
  36. 37
  37. 89
  38. 37
  39. 13
  40. 57

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