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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 230 · 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 5. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  4. 4.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  5. 5.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  6. 6.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  7. 7.One number is 3 times another. Their difference is 76. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  10. 10.One number is 5 times another. Their difference is 36. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  12. 12.The sum of two numbers is 147 and their difference is 13. What is the smaller number?
  13. 13.The sum of two numbers is 42 and their difference is 24. What is the larger number?
  14. 14.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 25. What is the smaller number?
  16. 16.The sum of 4 consecutive numbers is 110. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 150. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  19. 19.One number is 6 times another. Their difference is 165. What is the smaller number?
  20. 20.One number is 3 times another. Their difference is 36. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 45. What is the largest of them?
  23. 23.One number is 5 times another. Their difference is 120. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 95. What is the largest of them?
  25. 25.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  26. 26.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  27. 27.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?
  28. 28.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  30. 30.One number is 6 times another. Their difference is 50. What is the smaller number?
  31. 31.The sum of two numbers is 47 and their difference is 23. What is the larger number?
  32. 32.The sum of 4 consecutive numbers is 90. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 94. What is the largest of them?
  34. 34.One number is 5 times another. Their difference is 48. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.One number is 3 times another. Their difference is 46. What is the smaller number?
  37. 37.One number is 3 times another. Their difference is 70. What is the smaller number?
  38. 38.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?
  39. 39.The sum of two numbers is 140 and their difference is 22. What is the larger number?
  40. 40.The sum of 4 consecutive numbers is 162. What is the largest of them?

Answer key

  1. 5
  2. 53
  3. 9
  4. 69
  5. 58
  6. 49
  7. 38
  8. 44
  9. 15
  10. 9
  11. 19
  12. 67
  13. 33
  14. 65
  15. 25
  16. 29
  17. 51
  18. 57
  19. 33
  20. 18
  21. 46
  22. 16
  23. 30
  24. 21
  25. 30
  26. 61
  27. 67
  28. 65
  29. 54
  30. 10
  31. 35
  32. 24
  33. 25
  34. 12
  35. 57
  36. 23
  37. 35
  38. 69
  39. 81
  40. 42

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