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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 265 · 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 17. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  3. 3.One number is 6 times another. Their difference is 30. What is the smaller number?
  4. 4.The sum of two numbers is 44 and their difference is 6. What is the smaller number?
  5. 5.The sum of two numbers is 18 and their difference is 4. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  7. 7.One number is 6 times another. Their difference is 55. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 215. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 84. What is the largest of them?
  11. 11.One number is 3 times another. Their difference is 50. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  13. 13.The sum of two numbers is 94 and their difference is 92. What is the smaller number?
  14. 14.One number is 3 times another. Their difference is 78. What is the smaller number?
  15. 15.The sum of two numbers is 133 and their difference is 13. What is the larger number?
  16. 16.One number is 5 times another. Their difference is 80. What is the smaller number?
  17. 17.The sum of two numbers is 119 and their difference is 25. What is the larger number?
  18. 18.One number is 2 times another. Their difference is 9. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  20. 20.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  21. 21.One number is 4 times another. Their difference is 90. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  23. 23.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?
  24. 24.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  25. 25.The sum of two numbers is 43 and their difference is 31. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  27. 27.One number is 3 times another. Their difference is 58. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  29. 29.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  30. 30.One number is 2 times another. Their difference is 34. What is the smaller number?
  31. 31.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of two numbers is 139 and their difference is 31. What is the smaller number?
  34. 34.The sum of two numbers is 97 and their difference is 43. What is the larger number?
  35. 35.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of 3 consecutive numbers is 63. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 285. What is the largest of them?
  40. 40.The sum of 4 consecutive even numbers is 324. What is the largest of them?

Answer key

  1. 89
  2. 79
  3. 6
  4. 19
  5. 7
  6. 20
  7. 11
  8. 20
  9. 45
  10. 29
  11. 25
  12. 47
  13. 1
  14. 39
  15. 73
  16. 20
  17. 72
  18. 9
  19. 13
  20. 69
  21. 30
  22. 47
  23. 68
  24. 37
  25. 6
  26. 38
  27. 29
  28. 34
  29. 77
  30. 34
  31. 18
  32. 15
  33. 54
  34. 70
  35. 36
  36. 10
  37. 23
  38. 22
  39. 59
  40. 84

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