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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 654 · 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 6 times another. Their difference is 125. What is the smaller number?
  2. 2.One number is 2 times another. Their difference is 24. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 220. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  8. 8.One number is 3 times another. Their difference is 16. What is the smaller number?
  9. 9.One number is 6 times another. Their difference is 190. What is the smaller number?
  10. 10.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?
  11. 11.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?
  12. 12.The sum of two numbers is 17 and their difference is 7. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  14. 14.The sum of two numbers is 91 and their difference is 85. What is the smaller number?
  15. 15.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  16. 16.One number is 2 times another. Their difference is 16. What is the smaller number?
  17. 17.The sum of two numbers is 92 and their difference is 66. What is the smaller number?
  18. 18.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?
  19. 19.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  20. 20.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?
  21. 21.One number is 2 times another. Their difference is 4. What is the smaller number?
  22. 22.The sum of two numbers is 33 and their difference is 27. What is the larger number?
  23. 23.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  25. 25.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?
  26. 26.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  27. 27.One number is 5 times another. Their difference is 36. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 165. What is the largest of them?
  30. 30.The sum of two numbers is 170 and their difference is 2. What is the larger number?
  31. 31.The sum of 4 consecutive numbers is 222. What is the largest of them?
  32. 32.One number is 2 times another. Their difference is 17. What is the smaller number?
  33. 33.The sum of two numbers is 86 and their difference is 2. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  35. 35.One number is 2 times another. Their difference is 29. What is the smaller number?
  36. 36.The sum of two numbers is 40 and their difference is 38. What is the larger number?
  37. 37.The sum of 4 consecutive odd numbers is 208. What is the largest of them?
  38. 38.One number is 4 times another. Their difference is 9. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 99. What is the largest of them?

Answer key

  1. 25
  2. 24
  3. 23
  4. 28
  5. 20
  6. 46
  7. 23
  8. 8
  9. 38
  10. 69
  11. 67
  12. 5
  13. 78
  14. 3
  15. 55
  16. 16
  17. 13
  18. 39
  19. 17
  20. 27
  21. 4
  22. 30
  23. 42
  24. 45
  25. 19
  26. 21
  27. 9
  28. 45
  29. 56
  30. 86
  31. 57
  32. 17
  33. 42
  34. 35
  35. 29
  36. 39
  37. 55
  38. 3
  39. 71
  40. 34

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