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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 936 · 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 4 consecutive numbers is 58. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 240. What is the largest of them?
  4. 4.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  5. 5.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  6. 6.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  7. 7.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?
  8. 8.One number is 3 times another. Their difference is 66. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  11. 11.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of two numbers is 87 and their difference is 65. What is the smaller number?
  14. 14.One number is 4 times another. Their difference is 102. What is the smaller number?
  15. 15.The sum of two numbers is 87 and their difference is 83. What is the smaller number?
  16. 16.One number is 4 times another. Their difference is 93. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 175. What is the largest of them?
  18. 18.One number is 3 times another. Their difference is 68. What is the smaller number?
  19. 19.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?
  20. 20.One number is 5 times another. Their difference is 56. What is the smaller number?
  21. 21.The sum of two numbers is 47 and their difference is 9. What is the smaller number?
  22. 22.One number is 5 times another. Their difference is 140. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  26. 26.One number is 3 times another. Their difference is 12. What is the smaller number?
  27. 27.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  28. 28.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  29. 29.The sum of 5 consecutive numbers is 140. What is the largest of them?
  30. 30.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  31. 31.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  33. 33.The sum of 3 consecutive even numbers is 216. What is the largest of them?
  34. 34.The sum of two numbers is 64 and their difference is 24. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  36. 36.One number is 4 times another. Their difference is 12. What is the smaller number?
  37. 37.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  38. 38.The sum of two numbers is 37 and their difference is 35. What is the larger number?
  39. 39.One number is 6 times another. Their difference is 60. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 264. What is the largest of them?

Answer key

  1. 46
  2. 16
  3. 50
  4. 54
  5. 54
  6. 45
  7. 19
  8. 33
  9. 18
  10. 36
  11. 74
  12. 48
  13. 11
  14. 34
  15. 2
  16. 31
  17. 37
  18. 34
  19. 34
  20. 14
  21. 19
  22. 35
  23. 16
  24. 25
  25. 28
  26. 6
  27. 26
  28. 68
  29. 30
  30. 46
  31. 14
  32. 58
  33. 74
  34. 20
  35. 33
  36. 4
  37. 23
  38. 36
  39. 12
  40. 69

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