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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 910 · 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 99 and their difference is 3. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  3. 3.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  4. 4.One number is 3 times another. Their difference is 10. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  6. 6.One number is 5 times another. Their difference is 24. What is the smaller number?
  7. 7.The sum of two numbers is 130 and their difference is 4. What is the larger number?
  8. 8.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?
  9. 9.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  11. 11.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  13. 13.One number is 5 times another. Their difference is 144. What is the smaller number?
  14. 14.The sum of two numbers is 31 and their difference is 1. What is the larger number?
  15. 15.The sum of two numbers is 71 and their difference is 35. What is the smaller number?
  16. 16.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?
  17. 17.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?
  18. 18.The sum of two numbers is 74 and their difference is 44. What is the smaller number?
  19. 19.The sum of two numbers is 129 and their difference is 59. What is the larger number?
  20. 20.The sum of 4 consecutive numbers is 114. What is the largest of them?
  21. 21.The sum of two numbers is 41 and their difference is 11. What is the larger number?
  22. 22.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  24. 24.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of two numbers is 84 and their difference is 26. What is the larger number?
  27. 27.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 90. What is the largest of them?
  29. 29.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  31. 31.One number is 2 times another. Their difference is 22. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 96. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 60. What is the largest of them?
  36. 36.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?
  37. 37.The sum of two numbers is 61 and their difference is 55. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  39. 39.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?
  40. 40.One number is 6 times another. Their difference is 155. What is the smaller number?

Answer key

  1. 48
  2. 48
  3. 42
  4. 5
  5. 13
  6. 6
  7. 67
  8. 67
  9. 81
  10. 23
  11. 47
  12. 11
  13. 36
  14. 16
  15. 18
  16. 89
  17. 35
  18. 15
  19. 94
  20. 30
  21. 26
  22. 32
  23. 49
  24. 52
  25. 25
  26. 55
  27. 26
  28. 20
  29. 40
  30. 67
  31. 22
  32. 33
  33. 37
  34. 20
  35. 21
  36. 79
  37. 3
  38. 38
  39. 14
  40. 31

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