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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 956 · 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 3 consecutive numbers is 90. What is the smallest of them?
  2. 2.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?
  3. 3.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  4. 4.The sum of 4 consecutive numbers is 78. What is the largest of them?
  5. 5.One number is 2 times another. Their difference is 6. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 33. What is the smaller number?
  9. 9.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  10. 10.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?
  11. 11.The sum of two numbers is 165 and their difference is 7. What is the larger number?
  12. 12.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?
  13. 13.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  14. 14.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?
  15. 15.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  16. 16.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  17. 17.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?
  18. 18.The sum of two numbers is 131 and their difference is 17. What is the larger number?
  19. 19.One number is 5 times another. Their difference is 64. What is the smaller number?
  20. 20.One number is 5 times another. Their difference is 20. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  22. 22.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?
  23. 23.The sum of two numbers is 109 and their difference is 57. What is the smaller number?
  24. 24.The sum of two numbers is 101 and their difference is 35. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  27. 27.The sum of two numbers is 110 and their difference is 68. What is the larger number?
  28. 28.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  29. 29.One number is 3 times another. Their difference is 72. What is the smaller number?
  30. 30.The sum of two numbers is 96 and their difference is 94. What is the larger number?
  31. 31.The sum of 3 consecutive numbers is 45. What is the largest of them?
  32. 32.The sum of two numbers is 27 and their difference is 23. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 106. What is the largest of them?
  34. 34.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  35. 35.One number is 4 times another. Their difference is 108. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 36. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  40. 40.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?

Answer key

  1. 29
  2. 58
  3. 16
  4. 21
  5. 6
  6. 43
  7. 52
  8. 33
  9. 19
  10. 78
  11. 86
  12. 59
  13. 36
  14. 79
  15. 49
  16. 58
  17. 67
  18. 74
  19. 16
  20. 5
  21. 35
  22. 89
  23. 26
  24. 33
  25. 20
  26. 40
  27. 89
  28. 29
  29. 36
  30. 95
  31. 16
  32. 2
  33. 28
  34. 39
  35. 36
  36. 18
  37. 34
  38. 46
  39. 7
  40. 57

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