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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 594 · 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 55 and their difference is 5. What is the larger number?
  2. 2.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  3. 3.One number is 2 times another. Their difference is 32. What is the smaller number?
  4. 4.The sum of two numbers is 130 and their difference is 36. What is the smaller number?
  5. 5.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?
  6. 6.One number is 3 times another. Their difference is 72. What is the smaller number?
  7. 7.The sum of two numbers is 87 and their difference is 69. What is the larger number?
  8. 8.One number is 3 times another. Their difference is 24. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 200. What is the largest of them?
  10. 10.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  12. 12.The sum of two numbers is 156 and their difference is 10. What is the larger number?
  13. 13.One number is 6 times another. Their difference is 30. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  15. 15.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?
  16. 16.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  17. 17.One number is 4 times another. Their difference is 114. What is the smaller number?
  18. 18.One number is 3 times another. Their difference is 36. What is the smaller number?
  19. 19.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?
  20. 20.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 105. What is the largest of them?
  22. 22.One number is 5 times another. Their difference is 48. What is the smaller number?
  23. 23.One number is 3 times another. Their difference is 76. What is the smaller number?
  24. 24.One number is 2 times another. Their difference is 14. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  27. 27.One number is 2 times another. Their difference is 7. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 3 consecutive numbers is 18. What is the largest of them?
  30. 30.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  31. 31.The sum of two numbers is 104 and their difference is 14. What is the larger number?
  32. 32.One number is 3 times another. Their difference is 78. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 80. What is the largest of them?
  35. 35.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  36. 36.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  37. 37.The sum of two numbers is 119 and their difference is 37. What is the larger number?
  38. 38.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 246. What is the largest of them?
  40. 40.The sum of two numbers is 110 and their difference is 60. What is the larger number?

Answer key

  1. 30
  2. 7
  3. 32
  4. 47
  5. 89
  6. 36
  7. 78
  8. 12
  9. 42
  10. 16
  11. 20
  12. 83
  13. 6
  14. 20
  15. 69
  16. 39
  17. 38
  18. 18
  19. 27
  20. 32
  21. 36
  22. 12
  23. 38
  24. 14
  25. 63
  26. 5
  27. 7
  28. 13
  29. 7
  30. 26
  31. 59
  32. 39
  33. 47
  34. 18
  35. 23
  36. 37
  37. 78
  38. 65
  39. 63
  40. 85

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