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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 705 · 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 sum of 4 consecutive even numbers is 268. What is the smallest of them?
  2. 2.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?
  3. 3.One number is 5 times another. Their difference is 116. What is the smaller number?
  4. 4.The sum of two numbers is 41 and their difference is 19. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  7. 7.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 69. What is the largest of them?
  9. 9.The sum of two numbers is 120 and their difference is 30. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 135. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  13. 13.One number is 5 times another. Their difference is 80. What is the smaller number?
  14. 14.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  15. 15.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  16. 16.The sum of 4 consecutive numbers is 42. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  18. 18.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  19. 19.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  21. 21.One number is 2 times another. Their difference is 21. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 155. What is the largest of them?
  23. 23.One number is 4 times another. Their difference is 42. What is the smaller number?
  24. 24.The sum of two numbers is 98 and their difference is 48. What is the larger number?
  25. 25.One number is 3 times another. Their difference is 62. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 210. What is the largest of them?
  27. 27.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  29. 29.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?
  30. 30.The sum of two numbers is 109 and their difference is 27. What is the larger number?
  31. 31.One number is 4 times another. Their difference is 54. What is the smaller number?
  32. 32.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  33. 33.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  34. 34.The sum of two numbers is 19 and their difference is 15. What is the larger number?
  35. 35.The sum of 3 consecutive numbers is 24. What is the largest of them?
  36. 36.The sum of 4 consecutive numbers is 98. What is the largest of them?
  37. 37.The sum of two numbers is 64 and their difference is 8. What is the larger number?
  38. 38.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  39. 39.One number is 6 times another. Their difference is 200. What is the smaller number?
  40. 40.The sum of two numbers is 104 and their difference is 18. What is the larger number?

Answer key

  1. 64
  2. 89
  3. 29
  4. 11
  5. 59
  6. 28
  7. 48
  8. 24
  9. 45
  10. 9
  11. 46
  12. 13
  13. 20
  14. 24
  15. 73
  16. 12
  17. 56
  18. 44
  19. 38
  20. 35
  21. 21
  22. 33
  23. 14
  24. 73
  25. 31
  26. 44
  27. 44
  28. 17
  29. 23
  30. 68
  31. 18
  32. 67
  33. 34
  34. 17
  35. 9
  36. 26
  37. 36
  38. 19
  39. 40
  40. 61

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