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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 479 · 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 3 consecutive even numbers is 48. What is the smallest of them?
  3. 3.One number is 5 times another. Their difference is 32. What is the smaller number?
  4. 4.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?
  5. 5.The sum of 4 consecutive numbers is 50. What is the largest of them?
  6. 6.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 60. What is the largest of them?
  9. 9.The sum of two numbers is 166 and their difference is 20. What is the smaller number?
  10. 10.One number is 6 times another. Their difference is 75. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 4 consecutive numbers is 26. What is the largest of them?
  13. 13.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?
  14. 14.The sum of two numbers is 118 and their difference is 76. What is the smaller number?
  15. 15.One number is 4 times another. Their difference is 12. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  17. 17.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  18. 18.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  20. 20.The sum of two numbers is 73 and their difference is 51. What is the larger number?
  21. 21.The sum of two numbers is 87 and their difference is 81. What is the larger number?
  22. 22.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  23. 23.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?
  24. 24.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  25. 25.One number is 5 times another. Their difference is 12. What is the smaller number?
  26. 26.One number is 5 times another. Their difference is 144. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 150. What is the largest of them?
  28. 28.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 100. What is the largest of them?
  31. 31.One number is 6 times another. Their difference is 95. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  33. 33.The sum of two numbers is 31 and their difference is 25. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  35. 35.One number is 4 times another. Their difference is 30. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  37. 37.One number is 2 times another. Their difference is 10. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 85. What is the largest of them?
  39. 39.One number is 3 times another. Their difference is 80. What is the smaller number?
  40. 40.One number is 2 times another. Their difference is 13. What is the smaller number?

Answer key

  1. 25
  2. 14
  3. 8
  4. 68
  5. 14
  6. 68
  7. 63
  8. 14
  9. 73
  10. 15
  11. 56
  12. 8
  13. 35
  14. 21
  15. 4
  16. 39
  17. 13
  18. 58
  19. 44
  20. 62
  21. 84
  22. 31
  23. 59
  24. 19
  25. 3
  26. 36
  27. 51
  28. 56
  29. 28
  30. 22
  31. 19
  32. 70
  33. 3
  34. 37
  35. 10
  36. 32
  37. 10
  38. 19
  39. 40
  40. 13

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