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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 213 · 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 24. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  3. 3.The sum of 4 consecutive numbers is 46. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  5. 5.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  6. 6.One number is 2 times another. Their difference is 8. What is the smaller number?
  7. 7.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?
  8. 8.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  9. 9.The sum of two numbers is 86 and their difference is 50. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  11. 11.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  12. 12.One number is 2 times another. Their difference is 3. What is the smaller number?
  13. 13.The sum of two numbers is 27 and their difference is 19. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 70. What is the largest of them?
  15. 15.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  16. 16.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?
  17. 17.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  18. 18.The sum of two numbers is 103 and their difference is 15. What is the larger number?
  19. 19.The sum of 3 consecutive numbers is 84. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  21. 21.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  22. 22.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  23. 23.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?
  24. 24.The sum of two numbers is 139 and their difference is 1. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  27. 27.The sum of two numbers is 84 and their difference is 12. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  29. 29.One number is 2 times another. Their difference is 21. What is the smaller number?
  30. 30.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  31. 31.The sum of 4 consecutive numbers is 98. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 108. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  36. 36.One number is 4 times another. Their difference is 120. What is the smaller number?
  37. 37.One number is 4 times another. Their difference is 93. What is the smaller number?
  38. 38.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?
  39. 39.The sum of two numbers is 96 and their difference is 44. What is the smaller number?
  40. 40.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?

Answer key

  1. 6
  2. 36
  3. 13
  4. 15
  5. 76
  6. 8
  7. 25
  8. 70
  9. 18
  10. 26
  11. 8
  12. 3
  13. 4
  14. 16
  15. 47
  16. 39
  17. 71
  18. 59
  19. 29
  20. 18
  21. 59
  22. 49
  23. 38
  24. 69
  25. 83
  26. 57
  27. 36
  28. 37
  29. 21
  30. 23
  31. 26
  32. 40
  33. 36
  34. 12
  35. 26
  36. 40
  37. 31
  38. 89
  39. 26
  40. 13

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