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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 524 · 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 65 and their difference is 9. What is the smaller number?
  2. 2.The sum of two numbers is 93 and their difference is 11. What is the larger number?
  3. 3.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  4. 4.One number is 5 times another. Their difference is 44. What is the smaller number?
  5. 5.One number is 2 times another. Their difference is 16. What is the smaller number?
  6. 6.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?
  7. 7.The sum of 4 consecutive numbers is 182. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  10. 10.One number is 4 times another. Their difference is 78. What is the smaller number?
  11. 11.One number is 3 times another. Their difference is 50. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  13. 13.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  14. 14.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  16. 16.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  17. 17.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  18. 18.The sum of two numbers is 50 and their difference is 6. What is the larger number?
  19. 19.The sum of 5 consecutive numbers is 285. What is the largest of them?
  20. 20.One number is 4 times another. Their difference is 117. 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 9. What is the number?
  22. 22.The sum of two numbers is 32 and their difference is 14. What is the smaller number?
  23. 23.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?
  24. 24.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  25. 25.The sum of two numbers is 84 and their difference is 22. What is the larger number?
  26. 26.One number is 3 times another. Their difference is 20. What is the smaller number?
  27. 27.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  28. 28.The sum of two numbers is 36 and their difference is 24. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 70. What is the largest of them?
  32. 32.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  33. 33.The sum of 5 consecutive numbers is 195. What is the largest of them?
  34. 34.The sum of two numbers is 167 and their difference is 5. What is the larger number?
  35. 35.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  38. 38.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  39. 39.One number is 6 times another. Their difference is 80. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 218. What is the smallest of them?

Answer key

  1. 28
  2. 52
  3. 77
  4. 11
  5. 16
  6. 37
  7. 47
  8. 12
  9. 22
  10. 26
  11. 25
  12. 6
  13. 73
  14. 23
  15. 52
  16. 54
  17. 34
  18. 28
  19. 59
  20. 39
  21. 45
  22. 9
  23. 17
  24. 20
  25. 53
  26. 10
  27. 22
  28. 6
  29. 58
  30. 19
  31. 16
  32. 68
  33. 41
  34. 86
  35. 32
  36. 24
  37. 48
  38. 10
  39. 16
  40. 53

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