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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 764 · 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 8. When the digits swap places, the number goes up by 54. What is the number?
  2. 2.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?
  3. 3.The sum of 4 consecutive numbers is 150. What is the largest of them?
  4. 4.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  5. 5.One number is 4 times another. Their difference is 39. What is the smaller number?
  6. 6.One number is 4 times another. Their difference is 99. What is the smaller number?
  7. 7.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?
  8. 8.The sum of two numbers is 115 and their difference is 71. What is the smaller number?
  9. 9.The sum of two numbers is 63 and their difference is 23. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 171. What is the largest of them?
  11. 11.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?
  12. 12.The sum of two numbers is 136 and their difference is 2. What is the larger number?
  13. 13.One number is 2 times another. Their difference is 38. What is the smaller number?
  14. 14.The sum of two numbers is 76 and their difference is 2. What is the larger number?
  15. 15.One number is 6 times another. Their difference is 70. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 60. What is the largest of them?
  18. 18.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  19. 19.One number is 4 times another. Their difference is 51. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 35. What is the smaller number?
  21. 21.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?
  22. 22.The sum of 3 consecutive numbers is 174. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 108. What is the largest of them?
  24. 24.One number is 6 times another. Their difference is 190. What is the smaller number?
  25. 25.The sum of two numbers is 92 and their difference is 90. What is the smaller number?
  26. 26.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  27. 27.The sum of two numbers is 19 and their difference is 17. What is the larger number?
  28. 28.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 246. What is the largest of them?
  30. 30.The sum of two numbers is 20 and their difference is 8. What is the smaller number?
  31. 31.The sum of two numbers is 68 and their difference is 58. What is the smaller number?
  32. 32.The sum of two numbers is 129 and their difference is 7. What is the larger number?
  33. 33.The sum of two numbers is 110 and their difference is 76. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  36. 36.The sum of two numbers is 156 and their difference is 24. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 158. What is the largest of them?
  38. 38.The sum of two numbers is 48 and their difference is 32. What is the smaller number?
  39. 39.One number is 3 times another. Their difference is 34. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 75. What is the largest of them?

Answer key

  1. 17
  2. 78
  3. 39
  4. 84
  5. 13
  6. 33
  7. 16
  8. 22
  9. 20
  10. 58
  11. 89
  12. 69
  13. 38
  14. 39
  15. 14
  16. 21
  17. 21
  18. 32
  19. 17
  20. 35
  21. 23
  22. 59
  23. 37
  24. 38
  25. 1
  26. 58
  27. 18
  28. 64
  29. 63
  30. 6
  31. 5
  32. 68
  33. 17
  34. 23
  35. 29
  36. 66
  37. 41
  38. 8
  39. 17
  40. 27

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