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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 108 · 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 42 and their difference is 32. What is the larger number?
  2. 2.The sum of two numbers is 166 and their difference is 20. What is the smaller number?
  3. 3.One number is 2 times another. Their difference is 7. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  5. 5.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  6. 6.The sum of two numbers is 47 and their difference is 25. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.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?
  9. 9.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  10. 10.The sum of two numbers is 137 and their difference is 7. What is the larger number?
  11. 11.One number is 4 times another. Their difference is 90. What is the smaller number?
  12. 12.The sum of two numbers is 40 and their difference is 2. What is the larger number?
  13. 13.The sum of 4 consecutive numbers is 54. What is the largest of them?
  14. 14.The sum of two numbers is 29 and their difference is 7. What is the smaller number?
  15. 15.One number is 3 times another. Their difference is 78. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  18. 18.One number is 4 times another. Their difference is 81. What is the smaller number?
  19. 19.The sum of two numbers is 155 and their difference is 29. What is the smaller number?
  20. 20.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  21. 21.The sum of two numbers is 64 and their difference is 22. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  24. 24.The sum of two numbers is 147 and their difference is 9. What is the larger number?
  25. 25.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  26. 26.One number is 5 times another. Their difference is 68. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  28. 28.The sum of two numbers is 34 and their difference is 2. What is the larger number?
  29. 29.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  30. 30.The sum of two numbers is 77 and their difference is 33. What is the smaller number?
  31. 31.The sum of two numbers is 108 and their difference is 4. What is the larger number?
  32. 32.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  33. 33.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  34. 34.One number is 2 times another. Their difference is 26. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  36. 36.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  37. 37.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  38. 38.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  39. 39.The sum of two numbers is 30 and their difference is 16. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 57. What is the smallest of them?

Answer key

  1. 37
  2. 73
  3. 7
  4. 20
  5. 18
  6. 11
  7. 23
  8. 89
  9. 81
  10. 72
  11. 30
  12. 21
  13. 15
  14. 11
  15. 39
  16. 55
  17. 39
  18. 27
  19. 63
  20. 18
  21. 21
  22. 58
  23. 61
  24. 78
  25. 33
  26. 17
  27. 30
  28. 18
  29. 25
  30. 22
  31. 56
  32. 47
  33. 30
  34. 26
  35. 55
  36. 36
  37. 38
  38. 32
  39. 7
  40. 18

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