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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 715 · 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 digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of two numbers is 63 and their difference is 5. What is the larger number?
  3. 3.One number is 3 times another. Their difference is 44. What is the smaller number?
  4. 4.The sum of two numbers is 75 and their difference is 47. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 63. What is the largest of them?
  6. 6.The sum of two numbers is 39 and their difference is 9. What is the smaller number?
  7. 7.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 69. What is the largest of them?
  9. 9.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 210. What is the largest of them?
  11. 11.The sum of two numbers is 17 and their difference is 3. What is the larger number?
  12. 12.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  13. 13.The sum of two numbers is 52 and their difference is 10. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 18. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 170. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 165. What is the largest of them?
  18. 18.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?
  19. 19.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  21. 21.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  22. 22.The sum of 5 consecutive numbers is 135. What is the largest of them?
  23. 23.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  24. 24.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  25. 25.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  27. 27.The sum of two numbers is 150 and their difference is 36. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  29. 29.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  30. 30.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  31. 31.The sum of 4 consecutive numbers is 246. What is the largest of them?
  32. 32.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  33. 33.The sum of two numbers is 105 and their difference is 91. What is the larger number?
  34. 34.One number is 2 times another. Their difference is 9. What is the smaller number?
  35. 35.The sum of two numbers is 24 and their difference is 10. What is the larger number?
  36. 36.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  37. 37.One number is 5 times another. Their difference is 84. What is the smaller number?
  38. 38.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  39. 39.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 222. What is the smallest of them?

Answer key

  1. 56
  2. 34
  3. 22
  4. 14
  5. 22
  6. 15
  7. 23
  8. 24
  9. 71
  10. 54
  11. 10
  12. 20
  13. 21
  14. 18
  15. 36
  16. 23
  17. 56
  18. 39
  19. 55
  20. 35
  21. 14
  22. 29
  23. 17
  24. 51
  25. 79
  26. 53
  27. 57
  28. 28
  29. 78
  30. 9
  31. 63
  32. 45
  33. 98
  34. 9
  35. 17
  36. 84
  37. 21
  38. 53
  39. 11
  40. 54

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