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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 237 · 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 4 consecutive numbers is 118. What is the smallest of them?
  2. 2.The sum of 4 consecutive numbers is 246. What is the largest of them?
  3. 3.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  4. 4.The sum of two numbers is 38 and their difference is 2. What is the smaller number?
  5. 5.The sum of two numbers is 44 and their difference is 2. What is the larger number?
  6. 6.The sum of 4 consecutive numbers is 98. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  8. 8.One number is 2 times another. Their difference is 15. What is the smaller number?
  9. 9.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  10. 10.The sum of two numbers is 13 and their difference is 9. What is the smaller number?
  11. 11.One number is 5 times another. Their difference is 40. What is the smaller number?
  12. 12.One number is 5 times another. Their difference is 128. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 74. What is the largest of them?
  14. 14.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  15. 15.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  16. 16.The sum of two numbers is 29 and their difference is 3. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 135. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  21. 21.The sum of two numbers is 47 and their difference is 19. What is the larger number?
  22. 22.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?
  23. 23.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  24. 24.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?
  25. 25.One number is 3 times another. Their difference is 72. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  27. 27.The sum of two numbers is 38 and their difference is 10. What is the smaller number?
  28. 28.The sum of two numbers is 71 and their difference is 15. What is the smaller number?
  29. 29.The sum of two numbers is 44 and their difference is 2. What is the smaller number?
  30. 30.The sum of two numbers is 87 and their difference is 85. What is the larger number?
  31. 31.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  32. 32.One number is 2 times another. Their difference is 33. What is the smaller number?
  33. 33.The sum of two numbers is 27 and their difference is 13. What is the larger number?
  34. 34.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of 4 consecutive numbers is 42. What is the largest of them?
  39. 39.The sum of two numbers is 60 and their difference is 16. What is the larger number?
  40. 40.The sum of 4 consecutive even numbers is 260. What is the largest of them?

Answer key

  1. 28
  2. 63
  3. 27
  4. 18
  5. 23
  6. 23
  7. 11
  8. 15
  9. 31
  10. 2
  11. 10
  12. 32
  13. 20
  14. 29
  15. 17
  16. 13
  17. 29
  18. 46
  19. 55
  20. 59
  21. 33
  22. 78
  23. 23
  24. 89
  25. 36
  26. 19
  27. 14
  28. 28
  29. 21
  30. 86
  31. 41
  32. 33
  33. 20
  34. 79
  35. 67
  36. 38
  37. 57
  38. 12
  39. 38
  40. 68

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