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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 612 · 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 sum of two numbers is 44 and their difference is 14. What is the larger number?
  2. 2.The sum of two numbers is 65 and their difference is 19. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  4. 4.The sum of 4 consecutive numbers is 86. What is the largest of them?
  5. 5.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?
  6. 6.The sum of 4 consecutive numbers is 246. What is the largest of them?
  7. 7.The sum of two numbers is 24 and their difference is 10. What is the larger number?
  8. 8.The sum of two numbers is 95 and their difference is 83. What is the smaller number?
  9. 9.One number is 4 times another. Their difference is 90. What is the smaller number?
  10. 10.The sum of two numbers is 70 and their difference is 46. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  14. 14.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  15. 15.One number is 4 times another. Their difference is 105. What is the smaller number?
  16. 16.The sum of two numbers is 62 and their difference is 6. What is the smaller number?
  17. 17.The sum of two numbers is 56 and their difference is 40. What is the larger number?
  18. 18.The sum of two numbers is 29 and their difference is 21. What is the larger number?
  19. 19.The sum of 5 consecutive numbers is 50. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  21. 21.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  22. 22.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  23. 23.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  24. 24.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  25. 25.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  26. 26.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  27. 27.One number is 4 times another. Their difference is 42. What is the smaller number?
  28. 28.One number is 5 times another. Their difference is 64. What is the smaller number?
  29. 29.The sum of two numbers is 72 and their difference is 54. What is the larger number?
  30. 30.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  31. 31.One number is 4 times another. Their difference is 75. What is the smaller number?
  32. 32.The sum of two numbers is 163 and their difference is 5. What is the larger number?
  33. 33.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?
  34. 34.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?
  35. 35.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  36. 36.The sum of two numbers is 32 and their difference is 28. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 155. What is the largest of them?
  38. 38.One number is 2 times another. Their difference is 31. What is the smaller number?
  39. 39.The sum of two numbers is 67 and their difference is 1. What is the smaller number?
  40. 40.One number is 4 times another. Their difference is 66. What is the smaller number?

Answer key

  1. 29
  2. 23
  3. 15
  4. 23
  5. 78
  6. 63
  7. 17
  8. 6
  9. 30
  10. 12
  11. 16
  12. 87
  13. 69
  14. 21
  15. 35
  16. 28
  17. 48
  18. 25
  19. 12
  20. 45
  21. 66
  22. 49
  23. 33
  24. 32
  25. 45
  26. 13
  27. 14
  28. 16
  29. 63
  30. 31
  31. 25
  32. 84
  33. 46
  34. 79
  35. 50
  36. 2
  37. 33
  38. 31
  39. 33
  40. 22

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