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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 50 · 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.One number is 2 times another. Their difference is 13. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 4 consecutive numbers is 226. What is the smallest of them?
  4. 4.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  5. 5.The sum of 3 consecutive numbers is 111. What is the largest of them?
  6. 6.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?
  7. 7.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  8. 8.One number is 5 times another. Their difference is 12. What is the smaller number?
  9. 9.One number is 2 times another. Their difference is 5. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  11. 11.The sum of two numbers is 122 and their difference is 60. What is the larger number?
  12. 12.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  13. 13.One number is 5 times another. Their difference is 84. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  15. 15.The sum of two numbers is 96 and their difference is 76. What is the larger number?
  16. 16.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  17. 17.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?
  18. 18.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?
  19. 19.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?
  20. 20.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  21. 21.One number is 2 times another. Their difference is 7. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  23. 23.The sum of two numbers is 21 and their difference is 3. What is the smaller number?
  24. 24.The sum of two numbers is 19 and their difference is 17. What is the smaller number?
  25. 25.One number is 2 times another. Their difference is 40. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  28. 28.The sum of two numbers is 21 and their difference is 17. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 114. What is the largest of them?
  31. 31.One number is 5 times another. Their difference is 120. What is the smaller number?
  32. 32.The sum of two numbers is 176 and their difference is 8. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 60. What is the largest of them?
  34. 34.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 4 consecutive numbers is 126. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  38. 38.The sum of two numbers is 58 and their difference is 18. What is the larger number?
  39. 39.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  40. 40.The sum of two numbers is 21 and their difference is 5. What is the larger number?

Answer key

  1. 13
  2. 67
  3. 55
  4. 78
  5. 38
  6. 17
  7. 10
  8. 3
  9. 5
  10. 29
  11. 91
  12. 27
  13. 21
  14. 35
  15. 86
  16. 17
  17. 19
  18. 13
  19. 14
  20. 14
  21. 7
  22. 55
  23. 9
  24. 1
  25. 40
  26. 40
  27. 51
  28. 2
  29. 34
  30. 30
  31. 30
  32. 84
  33. 21
  34. 79
  35. 58
  36. 33
  37. 32
  38. 38
  39. 73
  40. 13

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