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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 418 · 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 sum of two numbers is 28 and their difference is 2. What is the larger number?
  2. 2.One number is 3 times another. Their difference is 42. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  4. 4.The sum of two numbers is 84 and their difference is 14. What is the larger number?
  5. 5.One number is 4 times another. Their difference is 36. What is the smaller number?
  6. 6.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  7. 7.The sum of two numbers is 95 and their difference is 35. What is the larger number?
  8. 8.The sum of 4 consecutive numbers is 102. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 78. What is the largest of them?
  10. 10.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  11. 11.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  12. 12.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  13. 13.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?
  14. 14.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  15. 15.One number is 4 times another. Their difference is 84. What is the smaller number?
  16. 16.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  17. 17.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  18. 18.The sum of two numbers is 78 and their difference is 12. What is the larger number?
  19. 19.One number is 4 times another. Their difference is 9. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 34. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  22. 22.The sum of two numbers is 72 and their difference is 58. What is the larger number?
  23. 23.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  24. 24.The sum of two numbers is 34 and their difference is 24. What is the smaller number?
  25. 25.One number is 4 times another. Their difference is 48. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  27. 27.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 156. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 102. What is the smaller number?
  34. 34.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?
  35. 35.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  36. 36.The sum of two numbers is 104 and their difference is 68. What is the larger number?
  37. 37.One number is 4 times another. Their difference is 90. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  39. 39.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 27. What is the smaller number?

Answer key

  1. 15
  2. 21
  3. 49
  4. 49
  5. 12
  6. 14
  7. 65
  8. 27
  9. 21
  10. 32
  11. 63
  12. 18
  13. 68
  14. 8
  15. 28
  16. 47
  17. 26
  18. 45
  19. 3
  20. 34
  21. 34
  22. 65
  23. 25
  24. 5
  25. 16
  26. 47
  27. 74
  28. 67
  29. 48
  30. 53
  31. 8
  32. 17
  33. 34
  34. 89
  35. 83
  36. 86
  37. 30
  38. 59
  39. 21
  40. 27

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