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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 750 · 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 two numbers is 135 and their difference is 57. What is the larger number?
  2. 2.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  3. 3.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?
  4. 4.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?
  5. 5.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  6. 6.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  8. 8.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?
  9. 9.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  10. 10.One number is 5 times another. Their difference is 108. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  12. 12.The sum of two numbers is 19 and their difference is 11. What is the larger number?
  13. 13.The sum of 3 consecutive numbers is 135. What is the largest of them?
  14. 14.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  15. 15.One number is 6 times another. Their difference is 65. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  18. 18.The sum of 5 consecutive numbers is 300. What is the largest of them?
  19. 19.The sum of two numbers is 44 and their difference is 2. What is the larger number?
  20. 20.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  21. 21.The sum of two numbers is 104 and their difference is 8. What is the larger number?
  22. 22.One number is 3 times another. Their difference is 8. What is the smaller 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.One number is 4 times another. Their difference is 9. What is the smaller number?
  25. 25.One number is 3 times another. Their difference is 28. What is the smaller number?
  26. 26.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  27. 27.The sum of two numbers is 100 and their difference is 8. What is the larger number?
  28. 28.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  29. 29.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?
  30. 30.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?
  31. 31.One number is 3 times another. Their difference is 40. What is the smaller number?
  32. 32.The sum of two numbers is 189 and their difference is 5. What is the larger number?
  33. 33.One number is 6 times another. Their difference is 165. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  35. 35.The sum of two numbers is 77 and their difference is 9. What is the larger number?
  36. 36.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  37. 37.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  38. 38.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?
  39. 39.One number is 3 times another. Their difference is 76. What is the smaller number?
  40. 40.One number is 2 times another. Their difference is 9. What is the smaller number?

Answer key

  1. 96
  2. 19
  3. 35
  4. 89
  5. 18
  6. 26
  7. 52
  8. 47
  9. 5
  10. 27
  11. 77
  12. 15
  13. 46
  14. 48
  15. 13
  16. 51
  17. 19
  18. 62
  19. 23
  20. 29
  21. 56
  22. 4
  23. 38
  24. 3
  25. 14
  26. 24
  27. 54
  28. 12
  29. 68
  30. 79
  31. 20
  32. 97
  33. 33
  34. 8
  35. 43
  36. 24
  37. 67
  38. 57
  39. 38
  40. 9

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