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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 352 · 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.One number is 4 times another. Their difference is 81. What is the smaller number?
  2. 2.One number is 6 times another. Their difference is 165. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  4. 4.One number is 5 times another. Their difference is 44. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 225. What is the largest of them?
  7. 7.One number is 4 times another. Their difference is 93. What is the smaller number?
  8. 8.One number is 6 times another. Their difference is 105. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 198. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  11. 11.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  12. 12.One number is 3 times another. Their difference is 70. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  14. 14.The sum of 3 consecutive numbers is 87. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  16. 16.The sum of two numbers is 92 and their difference is 66. What is the smaller number?
  17. 17.One number is 4 times another. Their difference is 84. What is the smaller number?
  18. 18.One number is 3 times another. Their difference is 28. What is the smaller number?
  19. 19.The sum of two numbers is 145 and their difference is 49. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  21. 21.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  25. 25.The sum of two numbers is 147 and their difference is 37. What is the larger number?
  26. 26.One number is 4 times another. Their difference is 24. What is the smaller number?
  27. 27.One number is 5 times another. Their difference is 100. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  29. 29.One number is 3 times another. Their difference is 30. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  31. 31.The sum of 5 consecutive numbers is 230. What is the largest of them?
  32. 32.One number is 5 times another. Their difference is 136. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.One number is 6 times another. Their difference is 130. What is the smaller number?
  35. 35.The sum of two numbers is 62 and their difference is 42. What is the larger number?
  36. 36.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  37. 37.One number is 6 times another. Their difference is 25. What is the smaller number?
  38. 38.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  39. 39.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 28. What is the smaller number?

Answer key

  1. 27
  2. 33
  3. 10
  4. 11
  5. 10
  6. 47
  7. 31
  8. 21
  9. 51
  10. 28
  11. 28
  12. 35
  13. 30
  14. 30
  15. 28
  16. 13
  17. 28
  18. 14
  19. 48
  20. 38
  21. 57
  22. 46
  23. 6
  24. 17
  25. 92
  26. 8
  27. 25
  28. 57
  29. 15
  30. 14
  31. 48
  32. 34
  33. 45
  34. 26
  35. 52
  36. 40
  37. 5
  38. 20
  39. 27
  40. 28

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