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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 698 · 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.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  3. 3.One number is 3 times another. Their difference is 36. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  5. 5.The sum of 4 consecutive numbers is 126. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 110. What is the largest of them?
  8. 8.One number is 6 times another. Their difference is 190. What is the smaller number?
  9. 9.The sum of two numbers is 47 and their difference is 11. What is the smaller number?
  10. 10.One number is 3 times another. Their difference is 74. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 60. What is the largest of them?
  12. 12.One number is 5 times another. Their difference is 52. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  14. 14.One number is 2 times another. Their difference is 3. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  16. 16.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  18. 18.The sum of two numbers is 82 and their difference is 14. What is the larger number?
  19. 19.The sum of 3 consecutive numbers is 117. What is the largest of them?
  20. 20.The sum of two numbers is 134 and their difference is 20. What is the larger number?
  21. 21.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?
  22. 22.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?
  23. 23.One number is 2 times another. Their difference is 4. What is the smaller number?
  24. 24.One number is 2 times another. Their difference is 28. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  26. 26.One number is 4 times another. Their difference is 48. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  28. 28.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?
  29. 29.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  31. 31.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  32. 32.The sum of 3 consecutive numbers is 162. What is the largest of them?
  33. 33.One number is 5 times another. Their difference is 144. What is the smaller number?
  34. 34.One number is 6 times another. Their difference is 200. What is the smaller number?
  35. 35.The sum of two numbers is 24 and their difference is 14. What is the smaller number?
  36. 36.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?
  37. 37.The sum of 3 consecutive numbers is 63. What is the largest of them?
  38. 38.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 96. What is the largest of them?
  40. 40.The sum of two numbers is 28 and their difference is 10. What is the smaller number?

Answer key

  1. 38
  2. 17
  3. 18
  4. 40
  5. 33
  6. 40
  7. 24
  8. 38
  9. 18
  10. 37
  11. 14
  12. 13
  13. 24
  14. 3
  15. 21
  16. 42
  17. 17
  18. 48
  19. 40
  20. 77
  21. 35
  22. 59
  23. 4
  24. 28
  25. 31
  26. 16
  27. 25
  28. 68
  29. 48
  30. 34
  31. 79
  32. 55
  33. 36
  34. 40
  35. 5
  36. 89
  37. 22
  38. 55
  39. 33
  40. 9

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