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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 6 · 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 3 times another. Their difference is 16. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  4. 4.The sum of two numbers is 118 and their difference is 16. What is the larger number?
  5. 5.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  6. 6.The sum of two numbers is 90 and their difference is 88. What is the larger number?
  7. 7.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  8. 8.The sum of two numbers is 25 and their difference is 23. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  10. 10.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  11. 11.One number is 6 times another. Their difference is 65. What is the smaller number?
  12. 12.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  14. 14.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  15. 15.The sum of two numbers is 93 and their difference is 41. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 16. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  20. 20.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  21. 21.One number is 4 times another. Their difference is 57. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 110. What is the largest of them?
  23. 23.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  24. 24.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  25. 25.One number is 5 times another. Their difference is 132. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  27. 27.The sum of two numbers is 91 and their difference is 33. What is the smaller number?
  28. 28.The sum of two numbers is 22 and their difference is 8. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  31. 31.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  32. 32.One number is 2 times another. Their difference is 24. What is the smaller number?
  33. 33.The sum of two numbers is 56 and their difference is 46. What is the smaller number?
  34. 34.The sum of two numbers is 137 and their difference is 39. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  37. 37.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  38. 38.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?
  39. 39.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  40. 40.One number is 5 times another. Their difference is 152. What is the smaller number?

Answer key

  1. 8
  2. 35
  3. 64
  4. 67
  5. 5
  6. 89
  7. 7
  8. 1
  9. 5
  10. 16
  11. 13
  12. 75
  13. 53
  14. 37
  15. 26
  16. 16
  17. 17
  18. 89
  19. 21
  20. 51
  21. 19
  22. 24
  23. 57
  24. 38
  25. 33
  26. 6
  27. 29
  28. 7
  29. 69
  30. 8
  31. 55
  32. 24
  33. 5
  34. 49
  35. 57
  36. 12
  37. 78
  38. 58
  39. 40
  40. 38

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