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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 951 · 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 5. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.One number is 2 times another. Their difference is 8. What is the smaller number?
  3. 3.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  4. 4.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  6. 6.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  7. 7.The sum of two numbers is 22 and their difference is 4. What is the smaller number?
  8. 8.The sum of 5 consecutive numbers is 75. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  11. 11.One number is 2 times another. Their difference is 10. What is the smaller number?
  12. 12.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 60. What is the largest of them?
  14. 14.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?
  15. 15.One number is 5 times another. Their difference is 156. What is the smaller number?
  16. 16.One number is 5 times another. Their difference is 96. What is the smaller number?
  17. 17.The sum of two numbers is 71 and their difference is 21. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  19. 19.One number is 3 times another. Their difference is 28. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  21. 21.One number is 5 times another. Their difference is 64. What is the smaller number?
  22. 22.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?
  23. 23.The sum of two numbers is 85 and their difference is 17. What is the smaller number?
  24. 24.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  25. 25.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?
  26. 26.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  27. 27.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  28. 28.The sum of two numbers is 32 and their difference is 6. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  33. 33.The sum of two numbers is 173 and their difference is 7. What is the larger number?
  34. 34.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  35. 35.One number is 3 times another. Their difference is 72. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  37. 37.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  38. 38.One number is 2 times another. Their difference is 27. What is the smaller number?
  39. 39.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?
  40. 40.One number is 2 times another. Their difference is 3. What is the smaller number?

Answer key

  1. 23
  2. 8
  3. 37
  4. 44
  5. 7
  6. 22
  7. 9
  8. 17
  9. 8
  10. 54
  11. 10
  12. 10
  13. 21
  14. 79
  15. 39
  16. 24
  17. 25
  18. 69
  19. 14
  20. 28
  21. 16
  22. 25
  23. 34
  24. 17
  25. 56
  26. 46
  27. 33
  28. 13
  29. 23
  30. 71
  31. 42
  32. 31
  33. 90
  34. 12
  35. 36
  36. 51
  37. 42
  38. 27
  39. 27
  40. 3

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