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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 647 · 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 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?
  2. 2.The sum of two numbers is 30 and their difference is 8. What is the larger number?
  3. 3.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?
  4. 4.One number is 4 times another. Their difference is 114. What is the smaller number?
  5. 5.One number is 5 times another. Their difference is 116. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 99. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  10. 10.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?
  11. 11.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  12. 12.One number is 5 times another. Their difference is 20. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 245. What is the largest of them?
  14. 14.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?
  15. 15.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  16. 16.One number is 3 times another. Their difference is 14. What is the smaller number?
  17. 17.One number is 4 times another. Their difference is 15. What is the smaller number?
  18. 18.The sum of two numbers is 79 and their difference is 9. What is the larger number?
  19. 19.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  20. 20.One number is 2 times another. Their difference is 29. What is the smaller number?
  21. 21.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?
  22. 22.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  23. 23.The sum of two numbers is 61 and their difference is 25. What is the smaller number?
  24. 24.The sum of two numbers is 102 and their difference is 24. What is the smaller number?
  25. 25.One number is 5 times another. Their difference is 32. What is the smaller number?
  26. 26.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  27. 27.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  28. 28.One number is 2 times another. Their difference is 33. What is the smaller number?
  29. 29.The sum of two numbers is 105 and their difference is 83. What is the smaller number?
  30. 30.The sum of two numbers is 38 and their difference is 10. What is the larger number?
  31. 31.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?
  32. 32.The sum of two numbers is 68 and their difference is 16. What is the larger number?
  33. 33.The sum of 4 consecutive numbers is 34. What is the largest of them?
  34. 34.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  35. 35.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?
  36. 36.The sum of two numbers is 39 and their difference is 1. What is the larger number?
  37. 37.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?

Answer key

  1. 28
  2. 19
  3. 89
  4. 38
  5. 29
  6. 34
  7. 29
  8. 24
  9. 23
  10. 25
  11. 45
  12. 5
  13. 51
  14. 19
  15. 12
  16. 7
  17. 5
  18. 44
  19. 70
  20. 29
  21. 27
  22. 6
  23. 18
  24. 39
  25. 8
  26. 41
  27. 15
  28. 33
  29. 11
  30. 24
  31. 37
  32. 42
  33. 10
  34. 34
  35. 16
  36. 20
  37. 30
  38. 17
  39. 36
  40. 35

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