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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 146 · 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 222. What is the smallest of them?
  2. 2.One number is 4 times another. Their difference is 87. What is the smaller number?
  3. 3.One number is 4 times another. Their difference is 81. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 39. What is the largest of them?
  5. 5.The sum of two numbers is 19 and their difference is 1. What is the larger number?
  6. 6.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  7. 7.The sum of two numbers is 42 and their difference is 4. What is the smaller number?
  8. 8.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?
  9. 9.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?
  10. 10.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  12. 12.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  13. 13.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  14. 14.The sum of two numbers is 22 and their difference is 16. What is the larger number?
  15. 15.One number is 3 times another. Their difference is 8. What is the smaller number?
  16. 16.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?
  17. 17.The sum of two numbers is 140 and their difference is 22. What is the larger number?
  18. 18.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  19. 19.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?
  20. 20.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?
  21. 21.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  22. 22.One number is 3 times another. Their difference is 28. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 78. What is the largest of them?
  24. 24.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  27. 27.One number is 2 times another. Their difference is 20. What is the smaller number?
  28. 28.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?
  29. 29.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?
  30. 30.The sum of two numbers is 40 and their difference is 32. What is the larger number?
  31. 31.One number is 4 times another. Their difference is 93. What is the smaller number?
  32. 32.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?
  33. 33.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  34. 34.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  35. 35.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  36. 36.The sum of two numbers is 130 and their difference is 44. What is the larger number?
  37. 37.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  38. 38.One number is 3 times another. Their difference is 66. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 92. What is the smaller number?
  40. 40.The sum of two numbers is 33 and their difference is 27. What is the smaller number?

Answer key

  1. 54
  2. 29
  3. 27
  4. 14
  5. 10
  6. 58
  7. 19
  8. 28
  9. 45
  10. 23
  11. 53
  12. 55
  13. 24
  14. 19
  15. 4
  16. 79
  17. 81
  18. 35
  19. 48
  20. 57
  21. 48
  22. 14
  23. 21
  24. 63
  25. 89
  26. 17
  27. 20
  28. 23
  29. 37
  30. 36
  31. 31
  32. 25
  33. 72
  34. 25
  35. 49
  36. 87
  37. 11
  38. 33
  39. 23
  40. 3

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