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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 669 · 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 94. What is the smallest of them?
  2. 2.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 111. What is the largest of them?
  4. 4.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?
  5. 5.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?
  6. 6.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?
  7. 7.One number is 5 times another. Their difference is 160. What is the smaller number?
  8. 8.The sum of two numbers is 34 and their difference is 18. What is the smaller number?
  9. 9.The sum of two numbers is 21 and their difference is 3. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  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 70 and their difference is 40. What is the smaller number?
  13. 13.The sum of two numbers is 86 and their difference is 44. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  15. 15.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  17. 17.The sum of two numbers is 144 and their difference is 20. What is the larger number?
  18. 18.The sum of two numbers is 86 and their difference is 10. What is the larger number?
  19. 19.The sum of two numbers is 38 and their difference is 30. What is the smaller number?
  20. 20.The sum of two numbers is 63 and their difference is 9. What is the larger number?
  21. 21.One number is 4 times another. Their difference is 24. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  24. 24.The sum of two numbers is 75 and their difference is 23. What is the larger number?
  25. 25.One number is 3 times another. Their difference is 74. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 60. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  28. 28.The sum of two numbers is 106 and their difference is 16. What is the smaller number?
  29. 29.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?
  30. 30.One number is 3 times another. Their difference is 36. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  32. 32.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  33. 33.One number is 2 times another. Their difference is 30. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  35. 35.One number is 4 times another. Their difference is 9. What is the smaller number?
  36. 36.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?
  37. 37.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  38. 38.One number is 3 times another. Their difference is 76. What is the smaller number?
  39. 39.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  40. 40.The sum of 3 consecutive even numbers is 150. What is the smallest of them?

Answer key

  1. 22
  2. 36
  3. 38
  4. 68
  5. 89
  6. 23
  7. 40
  8. 8
  9. 9
  10. 26
  11. 67
  12. 15
  13. 21
  14. 18
  15. 36
  16. 11
  17. 82
  18. 48
  19. 4
  20. 36
  21. 8
  22. 31
  23. 77
  24. 49
  25. 37
  26. 20
  27. 19
  28. 45
  29. 34
  30. 18
  31. 39
  32. 10
  33. 30
  34. 53
  35. 3
  36. 38
  37. 38
  38. 38
  39. 56
  40. 48

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