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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 754 · 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 13. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 275. What is the largest of them?
  5. 5.One number is 3 times another. Their difference is 36. What is the smaller number?
  6. 6.The sum of two numbers is 27 and their difference is 23. What is the larger number?
  7. 7.One number is 4 times another. Their difference is 9. What is the smaller number?
  8. 8.The sum of two numbers is 122 and their difference is 46. What is the larger number?
  9. 9.One number is 2 times another. Their difference is 19. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 30. What is the largest 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 54. What is the number?
  12. 12.The sum of two numbers is 100 and their difference is 94. What is the larger number?
  13. 13.The sum of two numbers is 45 and their difference is 13. What is the smaller number?
  14. 14.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?
  15. 15.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  16. 16.One number is 5 times another. Their difference is 108. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  19. 19.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  20. 20.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?
  21. 21.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  22. 22.The sum of two numbers is 15 and their difference is 11. What is the larger number?
  23. 23.The sum of two numbers is 104 and their difference is 16. What is the smaller number?
  24. 24.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?
  25. 25.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?
  26. 26.The sum of two numbers is 48 and their difference is 30. What is the larger number?
  27. 27.The sum of two numbers is 101 and their difference is 27. What is the larger number?
  28. 28.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  29. 29.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  31. 31.One number is 5 times another. Their difference is 140. What is the smaller number?
  32. 32.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  33. 33.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  34. 34.The sum of two numbers is 103 and their difference is 33. What is the larger number?
  35. 35.One number is 4 times another. Their difference is 99. What is the smaller number?
  36. 36.The sum of two numbers is 46 and their difference is 44. What is the larger number?
  37. 37.The sum of 3 consecutive numbers is 18. What is the largest of them?
  38. 38.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  39. 39.The sum of two numbers is 23 and their difference is 19. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 72. What is the largest of them?

Answer key

  1. 67
  2. 42
  3. 60
  4. 57
  5. 18
  6. 25
  7. 3
  8. 84
  9. 19
  10. 12
  11. 17
  12. 97
  13. 16
  14. 68
  15. 46
  16. 27
  17. 15
  18. 40
  19. 54
  20. 35
  21. 52
  22. 13
  23. 44
  24. 89
  25. 34
  26. 39
  27. 64
  28. 21
  29. 23
  30. 7
  31. 35
  32. 12
  33. 53
  34. 68
  35. 33
  36. 45
  37. 7
  38. 49
  39. 2
  40. 25

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