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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 997 · 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.One number is 3 times another. Their difference is 40. What is the smaller number?
  2. 2.The sum of two numbers is 99 and their difference is 31. What is the larger number?
  3. 3.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?
  4. 4.One number is 2 times another. Their difference is 34. What is the smaller number?
  5. 5.One number is 3 times another. Their difference is 64. What is the smaller number?
  6. 6.The sum of two numbers is 67 and their difference is 57. What is the larger number?
  7. 7.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.The sum of two numbers is 96 and their difference is 82. What is the smaller number?
  9. 9.One number is 5 times another. Their difference is 52. What is the smaller number?
  10. 10.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?
  11. 11.The sum of two numbers is 33 and their difference is 1. What is the larger number?
  12. 12.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  13. 13.The sum of two numbers is 119 and their difference is 21. What is the larger number?
  14. 14.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  15. 15.The sum of two numbers is 72 and their difference is 26. What is the larger number?
  16. 16.The sum of two numbers is 72 and their difference is 58. What is the larger number?
  17. 17.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?
  18. 18.One number is 4 times another. Their difference is 60. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  20. 20.The sum of two numbers is 19 and their difference is 3. What is the larger number?
  21. 21.One number is 2 times another. Their difference is 25. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  24. 24.One number is 6 times another. Their difference is 135. What is the smaller number?
  25. 25.The sum of two numbers is 112 and their difference is 20. What is the smaller number?
  26. 26.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  27. 27.One number is 3 times another. Their difference is 54. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 255. What is the largest of them?
  31. 31.One number is 5 times another. Their difference is 140. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 30. What is the largest of them?
  33. 33.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  34. 34.The sum of two numbers is 150 and their difference is 38. What is the larger number?
  35. 35.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?
  36. 36.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  37. 37.The sum of two numbers is 63 and their difference is 17. What is the larger number?
  38. 38.The sum of two numbers is 84 and their difference is 72. What is the larger number?
  39. 39.The sum of two numbers is 61 and their difference is 9. What is the larger number?
  40. 40.The sum of 3 consecutive numbers is 135. What is the largest of them?

Answer key

  1. 20
  2. 65
  3. 34
  4. 34
  5. 32
  6. 62
  7. 23
  8. 7
  9. 13
  10. 13
  11. 17
  12. 36
  13. 70
  14. 72
  15. 49
  16. 65
  17. 39
  18. 20
  19. 20
  20. 11
  21. 25
  22. 37
  23. 11
  24. 27
  25. 46
  26. 41
  27. 27
  28. 47
  29. 13
  30. 53
  31. 35
  32. 9
  33. 30
  34. 94
  35. 18
  36. 34
  37. 40
  38. 78
  39. 35
  40. 46

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