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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 959 · 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 10. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of two numbers is 46 and their difference is 28. What is the larger number?
  3. 3.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?
  4. 4.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  5. 5.One number is 6 times another. Their difference is 45. What is the smaller number?
  6. 6.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  7. 7.One number is 5 times another. Their difference is 40. What is the smaller number?
  8. 8.The sum of 5 consecutive numbers is 150. What is the largest of them?
  9. 9.The sum of two numbers is 49 and their difference is 39. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.The sum of two numbers is 109 and their difference is 45. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  13. 13.The sum of two numbers is 73 and their difference is 9. What is the larger number?
  14. 14.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  16. 16.One number is 2 times another. Their difference is 39. What is the smaller number?
  17. 17.One number is 4 times another. Their difference is 24. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 175. What is the largest of them?
  19. 19.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?
  20. 20.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  21. 21.The sum of two numbers is 37 and their difference is 13. What is the larger number?
  22. 22.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 180. What is the largest of them?
  24. 24.One number is 3 times another. Their difference is 80. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 159. What is the largest of them?
  26. 26.The sum of two numbers is 47 and their difference is 29. What is the smaller number?
  27. 27.The sum of two numbers is 143 and their difference is 45. What is the larger number?
  28. 28.The sum of two numbers is 132 and their difference is 30. What is the larger number?
  29. 29.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 78. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of two numbers is 15 and their difference is 13. What is the larger number?
  34. 34.The sum of 5 consecutive numbers is 205. What is the largest of them?
  35. 35.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?
  36. 36.One number is 5 times another. Their difference is 36. What is the smaller number?
  37. 37.One number is 6 times another. Their difference is 160. What is the smaller number?
  38. 38.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  39. 39.One number is 6 times another. Their difference is 55. What is the smaller number?
  40. 40.The sum of 4 consecutive even numbers is 196. What is the smallest of them?

Answer key

  1. 46
  2. 37
  3. 48
  4. 30
  5. 9
  6. 33
  7. 10
  8. 32
  9. 5
  10. 57
  11. 32
  12. 58
  13. 41
  14. 46
  15. 24
  16. 39
  17. 8
  18. 37
  19. 69
  20. 13
  21. 25
  22. 20
  23. 38
  24. 40
  25. 54
  26. 9
  27. 94
  28. 81
  29. 31
  30. 27
  31. 22
  32. 23
  33. 14
  34. 43
  35. 79
  36. 9
  37. 32
  38. 54
  39. 11
  40. 46

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