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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 919 · 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 89 and their difference is 15. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  3. 3.The sum of 5 consecutive numbers is 220. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 58. What is the largest of them?
  5. 5.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  6. 6.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  7. 7.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  8. 8.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?
  9. 9.One number is 5 times another. Their difference is 12. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  11. 11.The sum of two numbers is 69 and their difference is 59. What is the larger number?
  12. 12.One number is 4 times another. Their difference is 120. What is the smaller number?
  13. 13.The sum of two numbers is 16 and their difference is 8. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  15. 15.The sum of two numbers is 116 and their difference is 16. What is the smaller number?
  16. 16.The sum of two numbers is 153 and their difference is 11. What is the larger number?
  17. 17.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?
  18. 18.The sum of 3 consecutive numbers is 93. What is the largest of them?
  19. 19.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  20. 20.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  21. 21.The sum of 4 consecutive numbers is 118. What is the largest of them?
  22. 22.The sum of two numbers is 22 and their difference is 4. What is the smaller number?
  23. 23.One number is 6 times another. Their difference is 35. 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.One number is 5 times another. Their difference is 108. What is the smaller number?
  26. 26.The sum of two numbers is 65 and their difference is 37. What is the smaller number?
  27. 27.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 39. What is the largest of them?
  29. 29.The sum of two numbers is 77 and their difference is 63. What is the smaller number?
  30. 30.The sum of two numbers is 66 and their difference is 22. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  32. 32.One number is 3 times another. Their difference is 28. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  34. 34.The sum of 4 consecutive numbers is 186. What is the largest of them?
  35. 35.One number is 2 times another. Their difference is 15. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  37. 37.One number is 5 times another. Their difference is 68. What is the smaller number?
  38. 38.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  39. 39.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  40. 40.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?

Answer key

  1. 37
  2. 63
  3. 46
  4. 16
  5. 29
  6. 27
  7. 30
  8. 69
  9. 3
  10. 70
  11. 64
  12. 40
  13. 4
  14. 54
  15. 50
  16. 82
  17. 17
  18. 32
  19. 27
  20. 23
  21. 31
  22. 9
  23. 7
  24. 89
  25. 27
  26. 14
  27. 36
  28. 14
  29. 7
  30. 22
  31. 43
  32. 14
  33. 31
  34. 48
  35. 15
  36. 78
  37. 17
  38. 54
  39. 24
  40. 12

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