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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 134 · 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 8. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.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?
  3. 3.One number is 2 times another. Their difference is 31. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 126. What is the largest of them?
  5. 5.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  6. 6.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?
  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.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  9. 9.One number is 5 times another. Their difference is 156. What is the smaller number?
  10. 10.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  11. 11.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?
  12. 12.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  13. 13.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?
  14. 14.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 4 consecutive odd numbers is 208. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 96. What is the largest of them?
  18. 18.One number is 5 times another. Their difference is 20. What is the smaller number?
  19. 19.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  20. 20.The sum of two numbers is 21 and their difference is 13. What is the larger number?
  21. 21.One number is 2 times another. Their difference is 29. What is the smaller number?
  22. 22.The sum of two numbers is 93 and their difference is 41. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  24. 24.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  27. 27.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  28. 28.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  30. 30.The sum of two numbers is 51 and their difference is 41. What is the larger number?
  31. 31.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  32. 32.The sum of two numbers is 31 and their difference is 7. What is the larger number?
  33. 33.The sum of two numbers is 20 and their difference is 12. What is the smaller number?
  34. 34.The sum of two numbers is 32 and their difference is 16. What is the larger number?
  35. 35.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?
  36. 36.One number is 3 times another. Their difference is 66. What is the smaller number?
  37. 37.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  39. 39.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?
  40. 40.One number is 4 times another. Their difference is 114. What is the smaller number?

Answer key

  1. 35
  2. 89
  3. 31
  4. 43
  5. 71
  6. 34
  7. 38
  8. 45
  9. 39
  10. 29
  11. 48
  12. 57
  13. 56
  14. 25
  15. 19
  16. 55
  17. 33
  18. 5
  19. 47
  20. 17
  21. 29
  22. 26
  23. 37
  24. 16
  25. 31
  26. 49
  27. 25
  28. 46
  29. 49
  30. 46
  31. 19
  32. 19
  33. 4
  34. 24
  35. 17
  36. 33
  37. 75
  38. 9
  39. 24
  40. 38

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