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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 291 · 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 27. What is the number?
  2. 2.The sum of 5 consecutive numbers is 160. What is the largest of them?
  3. 3.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?
  4. 4.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?
  5. 5.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 86. What is the largest of them?
  8. 8.One number is 2 times another. Their difference is 7. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 5 consecutive numbers is 90. What is the largest of them?
  11. 11.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  12. 12.One number is 3 times another. Their difference is 80. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  14. 14.One number is 4 times another. Their difference is 21. What is the smaller number?
  15. 15.One number is 2 times another. Their difference is 17. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  18. 18.The sum of two numbers is 144 and their difference is 28. What is the smaller number?
  19. 19.The sum of two numbers is 90 and their difference is 34. What is the larger number?
  20. 20.One number is 6 times another. Their difference is 75. What is the smaller number?
  21. 21.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?
  22. 22.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  23. 23.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  24. 24.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  25. 25.One number is 3 times another. Their difference is 52. What is the smaller number?
  26. 26.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  27. 27.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  28. 28.The sum of two numbers is 98 and their difference is 40. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 226. What is the smallest of them?
  31. 31.One number is 3 times another. Their difference is 42. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of two numbers is 158 and their difference is 22. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 50. What is the smaller number?
  36. 36.The sum of two numbers is 105 and their difference is 27. What is the smaller number?
  37. 37.The sum of two numbers is 59 and their difference is 1. What is the smaller number?
  38. 38.One number is 3 times another. Their difference is 60. What is the smaller number?
  39. 39.The sum of two numbers is 47 and their difference is 43. What is the smaller number?
  40. 40.One number is 4 times another. Their difference is 111. What is the smaller number?

Answer key

  1. 25
  2. 34
  3. 34
  4. 24
  5. 47
  6. 45
  7. 23
  8. 7
  9. 79
  10. 20
  11. 29
  12. 40
  13. 16
  14. 7
  15. 17
  16. 20
  17. 25
  18. 58
  19. 62
  20. 15
  21. 67
  22. 27
  23. 29
  24. 14
  25. 26
  26. 13
  27. 40
  28. 29
  29. 41
  30. 55
  31. 21
  32. 75
  33. 68
  34. 68
  35. 10
  36. 39
  37. 29
  38. 30
  39. 2
  40. 37

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