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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 802 · 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 17. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.One number is 6 times another. Their difference is 65. What is the smaller number?
  4. 4.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?
  5. 5.The sum of 5 consecutive numbers is 120. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 63. What is the smallest 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 9. What is the number?
  8. 8.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  9. 9.The sum of two numbers is 106 and their difference is 16. What is the smaller number?
  10. 10.The sum of two numbers is 87 and their difference is 19. What is the larger number?
  11. 11.One number is 2 times another. Their difference is 4. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 26. What is the largest of them?
  13. 13.One number is 3 times another. Their difference is 74. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  15. 15.The sum of two numbers is 70 and their difference is 20. What is the larger number?
  16. 16.One number is 3 times another. Their difference is 8. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 153. What is the largest of them?
  19. 19.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?
  20. 20.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  21. 21.The sum of two numbers is 170 and their difference is 14. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 122. What is the largest of them?
  23. 23.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?
  24. 24.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 98. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 51. What is the largest of them?
  27. 27.The sum of two numbers is 40 and their difference is 32. What is the larger number?
  28. 28.One number is 4 times another. Their difference is 69. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  31. 31.One number is 5 times another. Their difference is 48. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  33. 33.The sum of two numbers is 37 and their difference is 15. What is the larger number?
  34. 34.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  35. 35.The sum of two numbers is 79 and their difference is 5. What is the larger number?
  36. 36.One number is 2 times another. Their difference is 38. What is the smaller number?
  37. 37.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?
  38. 38.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?
  39. 39.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  40. 40.One number is 3 times another. Their difference is 66. What is the smaller number?

Answer key

  1. 89
  2. 45
  3. 13
  4. 35
  5. 26
  6. 20
  7. 56
  8. 67
  9. 45
  10. 53
  11. 4
  12. 8
  13. 37
  14. 5
  15. 45
  16. 4
  17. 25
  18. 52
  19. 58
  20. 81
  21. 78
  22. 32
  23. 79
  24. 31
  25. 26
  26. 18
  27. 36
  28. 23
  29. 53
  30. 58
  31. 12
  32. 53
  33. 26
  34. 15
  35. 42
  36. 38
  37. 67
  38. 36
  39. 58
  40. 33

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