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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 54 · 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 3 consecutive numbers is 21. What is the smallest of them?
  2. 2.The sum of two numbers is 75 and their difference is 53. What is the smaller number?
  3. 3.The sum of two numbers is 125 and their difference is 41. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 215. What is the largest of them?
  5. 5.The sum of two numbers is 71 and their difference is 23. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 250. What is the largest of them?
  7. 7.One number is 5 times another. Their difference is 40. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  9. 9.The sum of two numbers is 48 and their difference is 24. What is the larger number?
  10. 10.One number is 6 times another. Their difference is 100. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  12. 12.One number is 4 times another. Their difference is 78. What is the smaller number?
  13. 13.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?
  14. 14.The sum of 5 consecutive numbers is 145. What is the smallest of them?
  15. 15.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of 3 consecutive numbers is 138. What is the largest of them?
  19. 19.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?
  20. 20.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  21. 21.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 159. What is the largest of them?
  23. 23.One number is 6 times another. Their difference is 145. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 120. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 166. What is the largest of them?
  27. 27.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  29. 29.One number is 6 times another. Their difference is 105. What is the smaller number?
  30. 30.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?
  31. 31.One number is 4 times another. Their difference is 48. What is the smaller number?
  32. 32.The sum of two numbers is 68 and their difference is 2. What is the larger number?
  33. 33.One number is 2 times another. Their difference is 24. What is the smaller number?
  34. 34.The sum of two numbers is 54 and their difference is 8. What is the larger number?
  35. 35.The sum of two numbers is 45 and their difference is 7. What is the smaller number?
  36. 36.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?
  37. 37.One number is 2 times another. Their difference is 13. What is the smaller number?
  38. 38.The sum of two numbers is 154 and their difference is 18. What is the larger number?
  39. 39.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  40. 40.The sum of two numbers is 17 and their difference is 9. What is the larger number?

Answer key

  1. 6
  2. 11
  3. 42
  4. 45
  5. 24
  6. 52
  7. 10
  8. 47
  9. 36
  10. 20
  11. 77
  12. 26
  13. 89
  14. 27
  15. 17
  16. 9
  17. 57
  18. 47
  19. 15
  20. 79
  21. 35
  22. 54
  23. 29
  24. 41
  25. 17
  26. 43
  27. 31
  28. 79
  29. 21
  30. 78
  31. 16
  32. 35
  33. 24
  34. 31
  35. 19
  36. 69
  37. 13
  38. 86
  39. 73
  40. 13

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