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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 323 · 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 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?
  2. 2.The sum of two numbers is 11 and their difference is 9. What is the larger number?
  3. 3.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  4. 4.The sum of two numbers is 102 and their difference is 42. What is the smaller number?
  5. 5.One number is 2 times another. Their difference is 30. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 27. What is the largest of them?
  7. 7.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?
  8. 8.One number is 3 times another. Their difference is 58. What is the smaller number?
  9. 9.One number is 3 times another. Their difference is 22. What is the smaller number?
  10. 10.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?
  11. 11.The sum of two numbers is 84 and their difference is 18. What is the larger number?
  12. 12.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  13. 13.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  14. 14.The sum of two numbers is 98 and their difference is 68. What is the larger number?
  15. 15.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  16. 16.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  17. 17.One number is 2 times another. Their difference is 22. What is the smaller number?
  18. 18.The sum of two numbers is 92 and their difference is 18. What is the larger number?
  19. 19.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?
  20. 20.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  21. 21.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  22. 22.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  23. 23.The sum of 4 consecutive numbers is 98. What is the largest of them?
  24. 24.One number is 4 times another. Their difference is 75. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  27. 27.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 94. What is the largest of them?
  29. 29.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  30. 30.The sum of two numbers is 66 and their difference is 6. What is the larger number?
  31. 31.The sum of two numbers is 60 and their difference is 26. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  33. 33.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  35. 35.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  36. 36.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?
  37. 37.One number is 6 times another. Their difference is 130. What is the smaller number?
  38. 38.The sum of two numbers is 19 and their difference is 15. What is the larger number?
  39. 39.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 20. What is the smaller number?

Answer key

  1. 34
  2. 10
  3. 16
  4. 30
  5. 30
  6. 10
  7. 38
  8. 29
  9. 11
  10. 89
  11. 51
  12. 76
  13. 31
  14. 83
  15. 17
  16. 70
  17. 22
  18. 55
  19. 59
  20. 78
  21. 24
  22. 36
  23. 26
  24. 25
  25. 67
  26. 46
  27. 47
  28. 25
  29. 26
  30. 36
  31. 17
  32. 11
  33. 36
  34. 5
  35. 24
  36. 79
  37. 26
  38. 17
  39. 29
  40. 20

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