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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 520 · 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 3 times another. Their difference is 80. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 110. What is the largest of them?
  3. 3.One number is 5 times another. Their difference is 64. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  5. 5.The sum of 4 consecutive numbers is 138. What is the largest of them?
  6. 6.The sum of two numbers is 29 and their difference is 11. What is the larger number?
  7. 7.One number is 4 times another. Their difference is 45. What is the smaller number?
  8. 8.One number is 3 times another. Their difference is 78. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  10. 10.The sum of two numbers is 62 and their difference is 16. What is the larger number?
  11. 11.The sum of 3 consecutive numbers is 39. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 154. What is the largest of them?
  13. 13.One number is 5 times another. Their difference is 40. What is the smaller number?
  14. 14.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  15. 15.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 65. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 78. What is the largest of them?
  18. 18.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  19. 19.The sum of two numbers is 96 and their difference is 54. What is the larger number?
  20. 20.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  21. 21.The sum of two numbers is 107 and their difference is 47. What is the larger number?
  22. 22.The sum of 3 consecutive numbers is 159. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  24. 24.One number is 2 times another. Their difference is 8. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  27. 27.One number is 5 times another. Their difference is 120. What is the smaller number?
  28. 28.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?
  29. 29.The sum of two numbers is 38 and their difference is 16. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 134. What is the largest of them?
  31. 31.One number is 3 times another. Their difference is 12. What is the smaller number?
  32. 32.One number is 2 times another. Their difference is 27. What is the smaller number?
  33. 33.The sum of two numbers is 105 and their difference is 9. What is the smaller number?
  34. 34.One number is 6 times another. Their difference is 200. What is the smaller number?
  35. 35.The sum of two numbers is 79 and their difference is 13. What is the larger number?
  36. 36.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  37. 37.One number is 3 times another. Their difference is 60. What is the smaller number?
  38. 38.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  39. 39.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?
  40. 40.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?

Answer key

  1. 40
  2. 29
  3. 16
  4. 27
  5. 36
  6. 20
  7. 15
  8. 39
  9. 54
  10. 39
  11. 14
  12. 40
  13. 10
  14. 14
  15. 78
  16. 15
  17. 27
  18. 38
  19. 75
  20. 18
  21. 77
  22. 54
  23. 50
  24. 8
  25. 30
  26. 57
  27. 30
  28. 34
  29. 11
  30. 35
  31. 6
  32. 27
  33. 48
  34. 40
  35. 46
  36. 20
  37. 30
  38. 23
  39. 89
  40. 78

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