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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 562 · 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 5 consecutive numbers is 110. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  3. 3.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?
  4. 4.One number is 6 times another. Their difference is 90. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  6. 6.The sum of two numbers is 40 and their difference is 26. What is the larger number?
  7. 7.One number is 2 times another. Their difference is 31. What is the smaller number?
  8. 8.The sum of two numbers is 166 and their difference is 20. What is the smaller number?
  9. 9.The sum of two numbers is 44 and their difference is 42. What is the larger number?
  10. 10.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  11. 11.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  12. 12.The sum of two numbers is 124 and their difference is 18. What is the larger number?
  13. 13.The sum of two numbers is 73 and their difference is 19. What is the smaller number?
  14. 14.The sum of two numbers is 85 and their difference is 51. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  16. 16.The sum of two numbers is 30 and their difference is 18. What is the larger number?
  17. 17.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 98. What is the largest of them?
  19. 19.One number is 3 times another. Their difference is 60. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  21. 21.The sum of two numbers is 26 and their difference is 20. What is the larger number?
  22. 22.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  23. 23.One number is 6 times another. Their difference is 150. What is the smaller number?
  24. 24.One number is 5 times another. Their difference is 60. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 60. What is the largest of them?
  26. 26.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 93. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.The sum of two numbers is 131 and their difference is 5. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  32. 32.One number is 5 times another. Their difference is 12. What is the smaller number?
  33. 33.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  34. 34.The sum of two numbers is 127 and their difference is 33. What is the larger number?
  35. 35.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  36. 36.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 134. What is the largest of them?
  38. 38.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?
  39. 39.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  40. 40.One number is 3 times another. Their difference is 24. What is the smaller number?

Answer key

  1. 24
  2. 9
  3. 89
  4. 18
  5. 40
  6. 33
  7. 31
  8. 73
  9. 43
  10. 47
  11. 60
  12. 71
  13. 27
  14. 17
  15. 77
  16. 24
  17. 19
  18. 26
  19. 30
  20. 26
  21. 23
  22. 38
  23. 30
  24. 15
  25. 14
  26. 73
  27. 32
  28. 7
  29. 48
  30. 63
  31. 30
  32. 3
  33. 8
  34. 80
  35. 14
  36. 7
  37. 35
  38. 67
  39. 38
  40. 12

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