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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 124 · 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 160 and their difference is 10. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  3. 3.One number is 5 times another. Their difference is 112. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  5. 5.One number is 2 times another. Their difference is 26. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  7. 7.One number is 4 times another. Their difference is 117. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 48. What is the largest of them?
  9. 9.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?
  10. 10.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?
  11. 11.One number is 2 times another. Their difference is 18. What is the smaller number?
  12. 12.The sum of two numbers is 112 and their difference is 4. What is the larger number?
  13. 13.One number is 3 times another. Their difference is 12. What is the smaller number?
  14. 14.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?
  15. 15.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 194. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 138. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  21. 21.The sum of 5 consecutive numbers is 200. What is the largest of them?
  22. 22.One number is 6 times another. Their difference is 130. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 285. What is the largest of them?
  24. 24.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  25. 25.The sum of 4 consecutive numbers is 54. What is the largest of them?
  26. 26.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  27. 27.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  28. 28.One number is 6 times another. Their difference is 195. What is the smaller number?
  29. 29.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  30. 30.One number is 6 times another. Their difference is 125. What is the smaller number?
  31. 31.The sum of two numbers is 138 and their difference is 28. What is the smaller number?
  32. 32.The sum of two numbers is 30 and their difference is 16. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  34. 34.One number is 2 times another. Their difference is 24. What is the smaller number?
  35. 35.One number is 3 times another. Their difference is 16. What is the smaller number?
  36. 36.The sum of two numbers is 60 and their difference is 34. What is the larger number?
  37. 37.The sum of two numbers is 108 and their difference is 62. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  39. 39.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  40. 40.The sum of two numbers is 22 and their difference is 4. What is the smaller number?

Answer key

  1. 75
  2. 29
  3. 28
  4. 54
  5. 26
  6. 11
  7. 39
  8. 17
  9. 89
  10. 79
  11. 18
  12. 58
  13. 6
  14. 78
  15. 53
  16. 14
  17. 50
  18. 53
  19. 36
  20. 48
  21. 42
  22. 26
  23. 59
  24. 24
  25. 15
  26. 12
  27. 58
  28. 39
  29. 76
  30. 25
  31. 55
  32. 7
  33. 16
  34. 24
  35. 8
  36. 47
  37. 23
  38. 12
  39. 35
  40. 9

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