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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 858 · 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 3 times another. Their difference is 38. What is the smaller number?
  2. 2.One number is 6 times another. Their difference is 75. What is the smaller number?
  3. 3.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  4. 4.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  5. 5.One number is 6 times another. Their difference is 105. What is the smaller number?
  6. 6.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  7. 7.The sum of two numbers is 72 and their difference is 70. What is the smaller number?
  8. 8.One number is 5 times another. Their difference is 28. What is the smaller number?
  9. 9.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?
  10. 10.The sum of two numbers is 51 and their difference is 9. What is the larger number?
  11. 11.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  12. 12.The sum of two numbers is 107 and their difference is 71. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  14. 14.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  16. 16.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?
  17. 17.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  18. 18.One number is 3 times another. Their difference is 62. What is the smaller number?
  19. 19.The sum of two numbers is 17 and their difference is 13. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 25. What is the smaller number?
  21. 21.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?
  22. 22.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  23. 23.One number is 4 times another. Their difference is 60. What is the smaller number?
  24. 24.The sum of two numbers is 46 and their difference is 12. What is the smaller number?
  25. 25.The sum of two numbers is 28 and their difference is 24. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  27. 27.One number is 4 times another. Their difference is 75. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  29. 29.One number is 4 times another. Their difference is 120. What is the smaller number?
  30. 30.One number is 5 times another. Their difference is 96. What is the smaller number?
  31. 31.One number is 6 times another. Their difference is 125. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 90. What is the largest of them?
  33. 33.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?
  34. 34.The sum of 3 consecutive numbers is 135. What is the largest of them?
  35. 35.The sum of two numbers is 73 and their difference is 13. What is the larger number?
  36. 36.The sum of two numbers is 29 and their difference is 7. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 99. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  39. 39.One number is 5 times another. Their difference is 16. What is the smaller number?
  40. 40.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?

Answer key

  1. 19
  2. 15
  3. 27
  4. 16
  5. 21
  6. 36
  7. 1
  8. 7
  9. 29
  10. 30
  11. 64
  12. 18
  13. 38
  14. 20
  15. 12
  16. 36
  17. 16
  18. 31
  19. 2
  20. 25
  21. 67
  22. 34
  23. 20
  24. 17
  25. 2
  26. 67
  27. 25
  28. 27
  29. 40
  30. 24
  31. 25
  32. 20
  33. 45
  34. 46
  35. 43
  36. 11
  37. 34
  38. 45
  39. 4
  40. 38

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