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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 450 · 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 two numbers is 50 and their difference is 34. What is the larger number?
  2. 2.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?
  3. 3.The sum of two numbers is 14 and their difference is 12. What is the larger number?
  4. 4.One number is 5 times another. Their difference is 132. What is the smaller number?
  5. 5.The sum of two numbers is 118 and their difference is 64. What is the smaller number?
  6. 6.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?
  7. 7.One number is 3 times another. Their difference is 16. What is the smaller number?
  8. 8.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  9. 9.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  13. 13.The sum of two numbers is 61 and their difference is 15. What is the larger number?
  14. 14.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  15. 15.The sum of two numbers is 67 and their difference is 11. What is the smaller number?
  16. 16.One number is 6 times another. Their difference is 35. What is the smaller number?
  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 4 consecutive numbers is 234. What is the smallest of them?
  19. 19.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  20. 20.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  21. 21.The sum of two numbers is 27 and their difference is 19. What is the smaller number?
  22. 22.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?
  23. 23.One number is 3 times another. Their difference is 20. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 24. What is the largest of them?
  25. 25.The sum of two numbers is 98 and their difference is 70. What is the larger number?
  26. 26.One number is 5 times another. Their difference is 152. What is the smaller number?
  27. 27.One number is 5 times another. Their difference is 112. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  29. 29.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  31. 31.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  32. 32.One number is 3 times another. Their difference is 30. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  34. 34.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?
  35. 35.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?
  36. 36.The sum of two numbers is 18 and their difference is 6. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 38. What is the largest of them?
  38. 38.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?
  39. 39.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?
  40. 40.The sum of two numbers is 65 and their difference is 55. What is the larger number?

Answer key

  1. 42
  2. 56
  3. 13
  4. 33
  5. 27
  6. 38
  7. 8
  8. 33
  9. 36
  10. 27
  11. 58
  12. 57
  13. 38
  14. 29
  15. 28
  16. 7
  17. 67
  18. 57
  19. 25
  20. 26
  21. 4
  22. 78
  23. 10
  24. 9
  25. 84
  26. 38
  27. 28
  28. 38
  29. 46
  30. 33
  31. 30
  32. 15
  33. 20
  34. 37
  35. 57
  36. 6
  37. 11
  38. 36
  39. 89
  40. 60

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