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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 880 · 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 7. When the digits swap places, the number goes up by 45. What is the number?
  2. 2.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  3. 3.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?
  4. 4.The sum of two numbers is 22 and their difference is 6. What is the smaller number?
  5. 5.One number is 4 times another. Their difference is 36. What is the smaller number?
  6. 6.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  9. 9.The sum of 5 consecutive numbers is 280. What is the largest of them?
  10. 10.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  11. 11.The sum of two numbers is 152 and their difference is 4. What is the larger number?
  12. 12.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  13. 13.One number is 2 times another. Their difference is 23. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 24. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  16. 16.One number is 3 times another. Their difference is 80. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  19. 19.The sum of two numbers is 127 and their difference is 33. What is the smaller number?
  20. 20.The sum of two numbers is 32 and their difference is 30. What is the smaller number?
  21. 21.The sum of two numbers is 116 and their difference is 74. What is the larger number?
  22. 22.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?
  23. 23.One number is 6 times another. Their difference is 60. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  25. 25.One number is 3 times another. Their difference is 76. What is the smaller number?
  26. 26.One number is 6 times another. Their difference is 95. What is the smaller number?
  27. 27.The sum of two numbers is 137 and their difference is 57. What is the smaller number?
  28. 28.The sum of two numbers is 46 and their difference is 10. What is the smaller number?
  29. 29.The sum of two numbers is 38 and their difference is 20. What is the smaller number?
  30. 30.The sum of two numbers is 58 and their difference is 18. What is the larger number?
  31. 31.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?
  32. 32.The sum of two numbers is 67 and their difference is 27. What is the larger number?
  33. 33.The sum of 5 consecutive numbers is 310. What is the largest of them?
  34. 34.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  35. 35.The sum of two numbers is 88 and their difference is 58. What is the smaller number?
  36. 36.One number is 6 times another. Their difference is 145. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 124. What is the largest of them?
  38. 38.One number is 6 times another. Their difference is 45. What is the smaller number?
  39. 39.The sum of two numbers is 29 and their difference is 23. What is the smaller number?
  40. 40.The sum of two numbers is 36 and their difference is 2. What is the smaller number?

Answer key

  1. 16
  2. 17
  3. 27
  4. 8
  5. 12
  6. 43
  7. 6
  8. 50
  9. 58
  10. 57
  11. 78
  12. 69
  13. 23
  14. 9
  15. 41
  16. 40
  17. 26
  18. 28
  19. 47
  20. 1
  21. 95
  22. 68
  23. 12
  24. 56
  25. 38
  26. 19
  27. 40
  28. 18
  29. 9
  30. 38
  31. 89
  32. 47
  33. 64
  34. 61
  35. 15
  36. 29
  37. 34
  38. 9
  39. 3
  40. 17

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