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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 550 · 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 5 times another. Their difference is 64. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  3. 3.The sum of two numbers is 105 and their difference is 1. What is the smaller number?
  4. 4.The sum of two numbers is 92 and their difference is 44. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  6. 6.The sum of two numbers is 44 and their difference is 26. What is the larger number?
  7. 7.One number is 4 times another. Their difference is 18. What is the smaller number?
  8. 8.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 90. What is the largest of them?
  10. 10.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  11. 11.The sum of two numbers is 19 and their difference is 11. What is the larger number?
  12. 12.The sum of two numbers is 182 and their difference is 16. What is the smaller number?
  13. 13.The sum of two numbers is 23 and their difference is 3. What is the smaller number?
  14. 14.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  15. 15.The sum of two numbers is 50 and their difference is 4. What is the smaller number?
  16. 16.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  19. 19.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  20. 20.One number is 4 times another. Their difference is 48. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  22. 22.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  25. 25.The sum of two numbers is 111 and their difference is 63. What is the larger number?
  26. 26.One number is 4 times another. Their difference is 108. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  28. 28.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  29. 29.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?
  30. 30.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  31. 31.One number is 2 times another. Their difference is 19. What is the smaller number?
  32. 32.The sum of two numbers is 63 and their difference is 11. What is the larger number?
  33. 33.One number is 2 times another. Their difference is 33. What is the smaller number?
  34. 34.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  35. 35.One number is 3 times another. Their difference is 72. What is the smaller number?
  36. 36.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  37. 37.The sum of 5 consecutive numbers is 210. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 98. What is the smallest of them?
  39. 39.One number is 6 times another. Their difference is 100. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 80. What is the largest of them?

Answer key

  1. 16
  2. 22
  3. 52
  4. 24
  5. 39
  6. 35
  7. 6
  8. 78
  9. 31
  10. 20
  11. 15
  12. 83
  13. 10
  14. 27
  15. 23
  16. 26
  17. 26
  18. 11
  19. 54
  20. 16
  21. 60
  22. 45
  23. 52
  24. 14
  25. 87
  26. 36
  27. 33
  28. 83
  29. 68
  30. 59
  31. 19
  32. 37
  33. 33
  34. 12
  35. 36
  36. 26
  37. 44
  38. 23
  39. 20
  40. 23

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