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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 345 · 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 2 times another. Their difference is 36. What is the smaller number?
  2. 2.One number is 3 times another. Their difference is 62. What is the smaller number?
  3. 3.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?
  4. 4.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?
  5. 5.The sum of two numbers is 16 and their difference is 6. What is the smaller number?
  6. 6.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  7. 7.The sum of two numbers is 107 and their difference is 73. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  9. 9.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  10. 10.The sum of two numbers is 36 and their difference is 12. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  12. 12.The sum of two numbers is 158 and their difference is 16. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 48. What is the largest of them?
  14. 14.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 69. What is the largest of them?
  16. 16.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  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 13. When the digits swap places, the number goes up by 45. What is the number?
  20. 20.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  21. 21.The sum of two numbers is 22 and their difference is 2. What is the larger number?
  22. 22.One number is 4 times another. Their difference is 75. What is the smaller number?
  23. 23.One number is 2 times another. Their difference is 3. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 54. What is the largest of them?
  25. 25.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  26. 26.The sum of two numbers is 157 and their difference is 5. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 275. What is the largest of them?
  28. 28.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  29. 29.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  31. 31.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  32. 32.One number is 5 times another. Their difference is 64. What is the smaller number?
  33. 33.One number is 5 times another. Their difference is 36. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  35. 35.One number is 4 times another. Their difference is 36. What is the smaller number?
  36. 36.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?
  37. 37.One number is 4 times another. Their difference is 12. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  39. 39.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?
  40. 40.One number is 3 times another. Their difference is 16. What is the smaller number?

Answer key

  1. 36
  2. 31
  3. 18
  4. 89
  5. 5
  6. 18
  7. 17
  8. 58
  9. 18
  10. 12
  11. 29
  12. 71
  13. 17
  14. 13
  15. 24
  16. 62
  17. 38
  18. 18
  19. 49
  20. 20
  21. 12
  22. 25
  23. 3
  24. 15
  25. 17
  26. 76
  27. 57
  28. 48
  29. 33
  30. 65
  31. 24
  32. 16
  33. 9
  34. 15
  35. 12
  36. 36
  37. 4
  38. 75
  39. 15
  40. 8

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