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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 795 · 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 100. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  3. 3.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  4. 4.The sum of 3 consecutive numbers is 156. What is the largest of them?
  5. 5.The sum of two numbers is 99 and their difference is 51. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  8. 8.The sum of two numbers is 35 and their difference is 7. What is the larger number?
  9. 9.One number is 4 times another. Their difference is 108. What is the smaller number?
  10. 10.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  11. 11.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  12. 12.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?
  13. 13.One number is 2 times another. Their difference is 20. What is the smaller number?
  14. 14.The sum of two numbers is 98 and their difference is 32. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 115. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  18. 18.The sum of 4 consecutive numbers is 130. What is the largest of them?
  19. 19.The sum of two numbers is 38 and their difference is 24. What is the smaller number?
  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 30. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 120. What is the smaller number?
  23. 23.The sum of two numbers is 96 and their difference is 60. What is the larger number?
  24. 24.The sum of 5 consecutive numbers is 140. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  28. 28.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  29. 29.The sum of two numbers is 45 and their difference is 43. What is the smaller number?
  30. 30.The sum of two numbers is 76 and their difference is 44. What is the smaller number?
  31. 31.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?
  32. 32.One number is 3 times another. Their difference is 58. What is the smaller number?
  33. 33.One number is 3 times another. Their difference is 80. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  35. 35.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  36. 36.The sum of two numbers is 29 and their difference is 17. What is the smaller number?
  37. 37.One number is 3 times another. Their difference is 6. What is the smaller number?
  38. 38.One number is 6 times another. Their difference is 130. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  40. 40.One number is 6 times another. Their difference is 90. What is the smaller number?

Answer key

  1. 25
  2. 58
  3. 29
  4. 53
  5. 24
  6. 50
  7. 74
  8. 21
  9. 36
  10. 19
  11. 28
  12. 49
  13. 20
  14. 33
  15. 18
  16. 25
  17. 33
  18. 34
  19. 7
  20. 35
  21. 30
  22. 24
  23. 78
  24. 30
  25. 14
  26. 12
  27. 42
  28. 73
  29. 1
  30. 16
  31. 38
  32. 29
  33. 40
  34. 39
  35. 47
  36. 6
  37. 3
  38. 26
  39. 73
  40. 18

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