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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 699 · 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 42. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 206. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  5. 5.One number is 5 times another. Their difference is 24. What is the smaller number?
  6. 6.One number is 2 times another. Their difference is 22. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  8. 8.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?
  9. 9.One number is 5 times another. Their difference is 152. What is the smaller number?
  10. 10.One number is 4 times another. Their difference is 93. What is the smaller number?
  11. 11.The sum of two numbers is 54 and their difference is 6. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  13. 13.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  14. 14.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  15. 15.One number is 5 times another. Their difference is 132. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  18. 18.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  19. 19.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?
  20. 20.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  21. 21.The sum of two numbers is 159 and their difference is 7. What is the larger number?
  22. 22.The sum of two numbers is 32 and their difference is 4. What is the larger number?
  23. 23.One number is 2 times another. Their difference is 16. What is the smaller number?
  24. 24.The sum of two numbers is 44 and their difference is 26. What is the larger number?
  25. 25.One number is 6 times another. Their difference is 30. What is the smaller number?
  26. 26.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  28. 28.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?
  29. 29.The sum of two numbers is 116 and their difference is 34. What is the smaller number?
  30. 30.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  31. 31.One number is 6 times another. Their difference is 45. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  34. 34.The sum of two numbers is 103 and their difference is 67. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  37. 37.The sum of two numbers is 61 and their difference is 47. What is the smaller number?
  38. 38.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?
  39. 39.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  40. 40.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?

Answer key

  1. 9
  2. 78
  3. 53
  4. 45
  5. 6
  6. 22
  7. 37
  8. 59
  9. 38
  10. 31
  11. 24
  12. 32
  13. 57
  14. 26
  15. 33
  16. 7
  17. 19
  18. 37
  19. 35
  20. 39
  21. 83
  22. 18
  23. 16
  24. 35
  25. 6
  26. 13
  27. 69
  28. 48
  29. 41
  30. 45
  31. 9
  32. 25
  33. 57
  34. 18
  35. 54
  36. 74
  37. 7
  38. 89
  39. 46
  40. 25

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