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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 727 · 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 7. When the digits swap places, the number goes up by 45. What is the number?
  2. 2.One number is 4 times another. Their difference is 45. What is the smaller number?
  3. 3.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?
  4. 4.One number is 3 times another. Their difference is 46. What is the smaller number?
  5. 5.One number is 2 times another. Their difference is 7. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of two numbers is 69 and their difference is 37. What is the smaller number?
  9. 9.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?
  10. 10.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?
  11. 11.One number is 2 times another. Their difference is 9. What is the smaller number?
  12. 12.The sum of two numbers is 59 and their difference is 11. What is the larger number?
  13. 13.The sum of two numbers is 127 and their difference is 5. What is the smaller number?
  14. 14.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  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 sum of 3 consecutive even numbers is 246. What is the largest of them?
  18. 18.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  19. 19.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?
  20. 20.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  21. 21.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  22. 22.One number is 5 times another. Their difference is 104. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  24. 24.The sum of 5 consecutive numbers is 230. What is the largest of them?
  25. 25.One number is 6 times another. Their difference is 195. What is the smaller number?
  26. 26.One number is 3 times another. Their difference is 58. What is the smaller number?
  27. 27.The sum of two numbers is 118 and their difference is 22. What is the smaller number?
  28. 28.One number is 4 times another. Their difference is 78. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  31. 31.The sum of two numbers is 132 and their difference is 4. What is the smaller number?
  32. 32.The sum of two numbers is 20 and their difference is 16. What is the smaller number?
  33. 33.The sum of two numbers is 35 and their difference is 27. What is the larger number?
  34. 34.The sum of 5 consecutive numbers is 210. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 3 consecutive numbers is 81. What is the largest of them?
  37. 37.The sum of two numbers is 40 and their difference is 12. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  39. 39.One number is 6 times another. Their difference is 45. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?

Answer key

  1. 16
  2. 15
  3. 34
  4. 23
  5. 7
  6. 40
  7. 12
  8. 16
  9. 79
  10. 67
  11. 9
  12. 35
  13. 61
  14. 53
  15. 78
  16. 89
  17. 84
  18. 39
  19. 35
  20. 23
  21. 32
  22. 26
  23. 31
  24. 48
  25. 39
  26. 29
  27. 48
  28. 26
  29. 52
  30. 11
  31. 64
  32. 2
  33. 31
  34. 44
  35. 47
  36. 28
  37. 14
  38. 24
  39. 9
  40. 45

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