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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 497 · 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 11. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.One number is 3 times another. Their difference is 46. What is the smaller number?
  3. 3.One number is 4 times another. Their difference is 66. What is the smaller number?
  4. 4.The sum of two numbers is 93 and their difference is 23. What is the larger number?
  5. 5.The sum of two numbers is 42 and their difference is 6. What is the larger number?
  6. 6.The sum of two numbers is 53 and their difference is 7. What is the larger number?
  7. 7.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  8. 8.The sum of two numbers is 25 and their difference is 23. What is the smaller number?
  9. 9.One number is 6 times another. Their difference is 85. What is the smaller number?
  10. 10.One number is 2 times another. Their difference is 10. What is the smaller number?
  11. 11.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?
  12. 12.One number is 5 times another. Their difference is 96. What is the smaller number?
  13. 13.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.The sum of two numbers is 93 and their difference is 53. What is the smaller number?
  16. 16.One number is 5 times another. Their difference is 52. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  19. 19.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  20. 20.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  21. 21.The sum of two numbers is 44 and their difference is 22. What is the larger number?
  22. 22.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  23. 23.One number is 6 times another. Their difference is 25. What is the smaller number?
  24. 24.One number is 6 times another. Their difference is 155. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 110. What is the largest of them?
  26. 26.The sum of 4 consecutive even numbers is 204. What is the smallest of them?
  27. 27.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 66. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  30. 30.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?
  31. 31.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 146. What is the largest of them?
  34. 34.The sum of two numbers is 81 and their difference is 17. What is the larger number?
  35. 35.One number is 5 times another. Their difference is 132. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 16. What is the smaller number?
  37. 37.One number is 5 times another. Their difference is 76. What is the smaller number?
  38. 38.The sum of two numbers is 28 and their difference is 22. What is the larger number?
  39. 39.One number is 2 times another. Their difference is 3. What is the smaller number?
  40. 40.One number is 5 times another. Their difference is 152. What is the smaller number?

Answer key

  1. 47
  2. 23
  3. 22
  4. 58
  5. 24
  6. 30
  7. 18
  8. 1
  9. 17
  10. 10
  11. 79
  12. 24
  13. 49
  14. 45
  15. 20
  16. 13
  17. 54
  18. 32
  19. 14
  20. 53
  21. 33
  22. 30
  23. 5
  24. 31
  25. 29
  26. 48
  27. 8
  28. 23
  29. 49
  30. 27
  31. 9
  32. 57
  33. 38
  34. 49
  35. 33
  36. 8
  37. 19
  38. 25
  39. 3
  40. 38

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