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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 8 · 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 14. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.One number is 5 times another. Their difference is 132. What is the smaller number?
  3. 3.One number is 4 times another. Their difference is 36. What is the smaller number?
  4. 4.The sum of two numbers is 90 and their difference is 70. What is the larger number?
  5. 5.The sum of 5 consecutive numbers is 190. What is the largest of them?
  6. 6.The sum of two numbers is 113 and their difference is 33. What is the larger number?
  7. 7.One number is 2 times another. Their difference is 24. What is the smaller number?
  8. 8.The sum of two numbers is 140 and their difference is 38. What is the larger number?
  9. 9.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  10. 10.One number is 5 times another. Their difference is 120. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  12. 12.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  13. 13.The sum of two numbers is 61 and their difference is 19. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 7. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  16. 16.The sum of two numbers is 25 and their difference is 1. What is the larger number?
  17. 17.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  20. 20.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  21. 21.The sum of two numbers is 81 and their difference is 3. What is the smaller number?
  22. 22.The sum of two numbers is 137 and their difference is 19. What is the smaller number?
  23. 23.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?
  24. 24.The sum of two numbers is 12 and their difference is 10. What is the smaller number?
  25. 25.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  26. 26.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  27. 27.One number is 2 times another. Their difference is 19. What is the smaller number?
  28. 28.The sum of two numbers is 71 and their difference is 69. What is the smaller number?
  29. 29.One number is 3 times another. Their difference is 80. What is the smaller number?
  30. 30.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  32. 32.The sum of two numbers is 50 and their difference is 10. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 155. What is the largest of them?
  34. 34.One number is 3 times another. Their difference is 56. What is the smaller number?
  35. 35.One number is 5 times another. Their difference is 12. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  37. 37.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  38. 38.The sum of two numbers is 181 and their difference is 7. What is the larger number?
  39. 39.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 57. What is the largest of them?

Answer key

  1. 68
  2. 33
  3. 12
  4. 80
  5. 40
  6. 73
  7. 24
  8. 89
  9. 25
  10. 30
  11. 15
  12. 7
  13. 21
  14. 7
  15. 40
  16. 13
  17. 55
  18. 5
  19. 30
  20. 33
  21. 39
  22. 59
  23. 38
  24. 1
  25. 32
  26. 18
  27. 19
  28. 1
  29. 40
  30. 36
  31. 54
  32. 20
  33. 33
  34. 28
  35. 3
  36. 26
  37. 13
  38. 94
  39. 67
  40. 20

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