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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 973 · 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 4 consecutive numbers is 238. What is the largest of them?
  2. 2.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?
  3. 3.The sum of two numbers is 122 and their difference is 12. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  5. 5.The sum of two numbers is 34 and their difference is 24. What is the larger number?
  6. 6.One number is 3 times another. Their difference is 16. What is the smaller number?
  7. 7.The sum of two numbers is 37 and their difference is 21. What is the smaller number?
  8. 8.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?
  9. 9.The sum of two numbers is 26 and their difference is 16. What is the larger number?
  10. 10.One number is 2 times another. Their difference is 22. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 162. What is the largest of them?
  12. 12.The sum of two numbers is 79 and their difference is 21. What is the larger number?
  13. 13.One number is 3 times another. Their difference is 62. What is the smaller number?
  14. 14.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  15. 15.The sum of two numbers is 167 and their difference is 21. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  17. 17.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  18. 18.One number is 6 times another. Their difference is 115. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 48. What is the largest of them?
  20. 20.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  21. 21.One number is 5 times another. Their difference is 32. What is the smaller number?
  22. 22.One number is 2 times another. Their difference is 28. What is the smaller number?
  23. 23.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?
  24. 24.The sum of two numbers is 55 and their difference is 9. What is the larger number?
  25. 25.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?
  26. 26.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  27. 27.The sum of two numbers is 33 and their difference is 15. What is the smaller number?
  28. 28.One number is 6 times another. Their difference is 200. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 54. What is the largest of them?
  31. 31.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?
  32. 32.One number is 2 times another. Their difference is 35. What is the smaller number?
  33. 33.The sum of two numbers is 56 and their difference is 50. What is the smaller number?
  34. 34.The sum of two numbers is 31 and their difference is 9. What is the larger number?
  35. 35.One number is 3 times another. Their difference is 32. What is the smaller number?
  36. 36.One number is 2 times another. Their difference is 19. What is the smaller number?
  37. 37.The sum of two numbers is 77 and their difference is 27. What is the smaller number?
  38. 38.One number is 3 times another. Their difference is 48. What is the smaller 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 3 consecutive numbers is 27. What is the largest of them?

Answer key

  1. 61
  2. 19
  3. 55
  4. 37
  5. 29
  6. 8
  7. 8
  8. 59
  9. 21
  10. 22
  11. 42
  12. 50
  13. 31
  14. 74
  15. 73
  16. 18
  17. 79
  18. 23
  19. 17
  20. 5
  21. 8
  22. 28
  23. 36
  24. 32
  25. 78
  26. 33
  27. 9
  28. 40
  29. 8
  30. 15
  31. 79
  32. 35
  33. 3
  34. 20
  35. 16
  36. 19
  37. 25
  38. 24
  39. 89
  40. 10

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