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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 24 · 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 6. When the digits swap places, the number goes up by 36. What is the number?
  2. 2.The sum of two numbers is 178 and their difference is 20. What is the larger number?
  3. 3.The sum of two numbers is 33 and their difference is 13. What is the larger number?
  4. 4.One number is 4 times another. Their difference is 99. What is the smaller number?
  5. 5.One number is 2 times another. Their difference is 6. What is the smaller number?
  6. 6.One number is 3 times another. Their difference is 38. What is the smaller number?
  7. 7.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  8. 8.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of 3 consecutive numbers is 96. What is the largest of them?
  13. 13.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  14. 14.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?
  15. 15.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  18. 18.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  19. 19.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  20. 20.One number is 3 times another. Their difference is 20. What is the smaller number?
  21. 21.The sum of two numbers is 82 and their difference is 6. What is the larger number?
  22. 22.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?
  23. 23.One number is 4 times another. Their difference is 93. What is the smaller number?
  24. 24.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?
  25. 25.One number is 5 times another. Their difference is 20. What is the smaller number?
  26. 26.The sum of two numbers is 69 and their difference is 67. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 75. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  29. 29.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  30. 30.One number is 3 times another. Their difference is 12. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 7. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  33. 33.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 90. What is the largest of them?
  35. 35.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?
  36. 36.The sum of two numbers is 66 and their difference is 62. What is the smaller number?
  37. 37.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?
  38. 38.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?
  39. 39.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?
  40. 40.One number is 4 times another. Their difference is 18. What is the smaller number?

Answer key

  1. 15
  2. 99
  3. 23
  4. 33
  5. 6
  6. 19
  7. 74
  8. 81
  9. 40
  10. 8
  11. 35
  12. 33
  13. 31
  14. 45
  15. 20
  16. 8
  17. 17
  18. 62
  19. 27
  20. 10
  21. 44
  22. 24
  23. 31
  24. 47
  25. 5
  26. 1
  27. 25
  28. 18
  29. 12
  30. 6
  31. 7
  32. 11
  33. 22
  34. 24
  35. 79
  36. 2
  37. 89
  38. 34
  39. 48
  40. 6

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