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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 330 · 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 15. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  3. 3.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  5. 5.The sum of two numbers is 157 and their difference is 19. What is the smaller number?
  6. 6.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of 3 consecutive numbers is 117. What is the largest of them?
  9. 9.The sum of two numbers is 18 and their difference is 4. What is the smaller number?
  10. 10.One number is 5 times another. Their difference is 72. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  12. 12.One number is 2 times another. Their difference is 12. What is the smaller number?
  13. 13.One number is 4 times another. Their difference is 69. What is the smaller number?
  14. 14.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  15. 15.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  16. 16.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  19. 19.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?
  20. 20.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?
  21. 21.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  22. 22.The sum of two numbers is 80 and their difference is 32. What is the smaller number?
  23. 23.One number is 2 times another. Their difference is 30. What is the smaller number?
  24. 24.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  25. 25.The sum of two numbers is 126 and their difference is 62. What is the smaller number?
  26. 26.The sum of two numbers is 119 and their difference is 19. What is the larger number?
  27. 27.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  28. 28.One number is 2 times another. Their difference is 36. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  30. 30.One number is 6 times another. Their difference is 175. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  32. 32.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  33. 33.One number is 3 times another. Their difference is 14. What is the smaller number?
  34. 34.The sum of two numbers is 119 and their difference is 29. What is the larger number?
  35. 35.The sum of 5 consecutive numbers is 135. What is the largest of them?
  36. 36.One number is 4 times another. Their difference is 12. What is the smaller number?
  37. 37.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?
  38. 38.One number is 5 times another. Their difference is 136. What is the smaller number?
  39. 39.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  40. 40.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?

Answer key

  1. 78
  2. 34
  3. 31
  4. 64
  5. 69
  6. 43
  7. 48
  8. 40
  9. 7
  10. 18
  11. 23
  12. 12
  13. 23
  14. 23
  15. 68
  16. 79
  17. 53
  18. 45
  19. 56
  20. 89
  21. 59
  22. 24
  23. 30
  24. 20
  25. 32
  26. 69
  27. 21
  28. 36
  29. 11
  30. 35
  31. 40
  32. 53
  33. 7
  34. 74
  35. 29
  36. 4
  37. 25
  38. 34
  39. 58
  40. 28

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