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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 16 · 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 9. 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 32. What is the smaller number?
  3. 3.The sum of two numbers is 49 and their difference is 13. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.The sum of two numbers is 116 and their difference is 50. What is the smaller number?
  6. 6.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  7. 7.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  8. 8.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?
  9. 9.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  10. 10.The sum of two numbers is 147 and their difference is 19. What is the smaller number?
  11. 11.One number is 2 times another. Their difference is 21. What is the smaller number?
  12. 12.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?
  13. 13.One number is 2 times another. Their difference is 27. What is the smaller number?
  14. 14.One number is 6 times another. Their difference is 95. What is the smaller number?
  15. 15.The sum of two numbers is 27 and their difference is 3. What is the smaller number?
  16. 16.The sum of two numbers is 109 and their difference is 71. What is the smaller number?
  17. 17.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?
  18. 18.The sum of 5 consecutive numbers is 185. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  20. 20.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  21. 21.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  22. 22.One number is 4 times another. Their difference is 84. What is the smaller number?
  23. 23.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?
  24. 24.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  27. 27.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  28. 28.One number is 3 times another. Their difference is 40. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 93. What is the largest of them?
  30. 30.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  31. 31.One number is 3 times another. Their difference is 66. What is the smaller number?
  32. 32.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  33. 33.One number is 2 times another. Their difference is 36. What is the smaller number?
  34. 34.One number is 5 times another. Their difference is 36. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.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?
  37. 37.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  38. 38.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  39. 39.One number is 4 times another. Their difference is 36. What is the smaller number?
  40. 40.The sum of 3 consecutive even numbers is 114. What is the largest of them?

Answer key

  1. 36
  2. 16
  3. 18
  4. 13
  5. 33
  6. 78
  7. 20
  8. 48
  9. 36
  10. 64
  11. 21
  12. 25
  13. 27
  14. 19
  15. 12
  16. 19
  17. 57
  18. 39
  19. 8
  20. 35
  21. 44
  22. 28
  23. 12
  24. 18
  25. 79
  26. 26
  27. 34
  28. 20
  29. 32
  30. 29
  31. 33
  32. 52
  33. 36
  34. 9
  35. 15
  36. 38
  37. 57
  38. 19
  39. 12
  40. 40

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