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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 495 · 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.One number is 4 times another. Their difference is 84. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 190. What is the largest of them?
  3. 3.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  7. 7.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  8. 8.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?
  9. 9.One number is 3 times another. Their difference is 40. What is the smaller number?
  10. 10.The sum of two numbers is 53 and their difference is 51. What is the smaller number?
  11. 11.The sum of two numbers is 80 and their difference is 52. What is the smaller number?
  12. 12.One number is 6 times another. Their difference is 95. What is the smaller number?
  13. 13.The sum of two numbers is 187 and their difference is 7. What is the smaller number?
  14. 14.The sum of two numbers is 183 and their difference is 1. What is the larger number?
  15. 15.The sum of 5 consecutive numbers is 290. What is the largest of them?
  16. 16.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  17. 17.One number is 5 times another. Their difference is 100. What is the smaller number?
  18. 18.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?
  19. 19.One number is 6 times another. Their difference is 125. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  21. 21.The sum of two numbers is 19 and their difference is 5. What is the smaller number?
  22. 22.One number is 2 times another. Their difference is 9. What is the smaller number?
  23. 23.One number is 2 times another. Their difference is 38. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  25. 25.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?
  26. 26.The sum of 4 consecutive numbers is 178. What is the largest of them?
  27. 27.The sum of two numbers is 86 and their difference is 74. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 226. What is the smallest of them?
  30. 30.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?
  31. 31.The sum of two numbers is 58 and their difference is 28. What is the larger number?
  32. 32.The sum of 3 consecutive numbers is 39. What is the largest of them?
  33. 33.One number is 4 times another. Their difference is 102. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  35. 35.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  36. 36.One number is 3 times another. Their difference is 74. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  38. 38.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  39. 39.The sum of two numbers is 21 and their difference is 13. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 155. What is the largest of them?

Answer key

  1. 28
  2. 49
  3. 9
  4. 78
  5. 36
  6. 17
  7. 17
  8. 45
  9. 20
  10. 1
  11. 14
  12. 19
  13. 90
  14. 92
  15. 60
  16. 32
  17. 25
  18. 56
  19. 25
  20. 43
  21. 7
  22. 9
  23. 38
  24. 49
  25. 19
  26. 46
  27. 6
  28. 22
  29. 55
  30. 37
  31. 43
  32. 14
  33. 34
  34. 6
  35. 85
  36. 37
  37. 7
  38. 38
  39. 4
  40. 33

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