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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 909 · 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 odd numbers is 64. What is the smallest of them?
  2. 2.The sum of two numbers is 88 and their difference is 6. What is the smaller number?
  3. 3.The sum of two numbers is 70 and their difference is 40. What is the smaller number?
  4. 4.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?
  5. 5.The sum of two numbers is 105 and their difference is 51. What is the smaller number?
  6. 6.One number is 3 times another. Their difference is 54. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  8. 8.One number is 4 times another. Their difference is 99. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  11. 11.The sum of 4 consecutive numbers is 30. What is the largest of them?
  12. 12.One number is 2 times another. Their difference is 9. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  14. 14.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  15. 15.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  16. 16.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  18. 18.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  19. 19.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?
  20. 20.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of 4 consecutive numbers is 118. What is the largest of them?
  23. 23.One number is 5 times another. Their difference is 28. What is the smaller number?
  24. 24.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  25. 25.One number is 3 times another. Their difference is 6. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 3. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 114. What is the largest of them?
  28. 28.The sum of two numbers is 30 and their difference is 14. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 123. What is the largest of them?
  30. 30.The sum of two numbers is 101 and their difference is 63. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  32. 32.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  33. 33.One number is 2 times another. Their difference is 38. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 174. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  37. 37.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  38. 38.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  39. 39.The sum of two numbers is 88 and their difference is 54. What is the larger number?
  40. 40.The sum of 4 consecutive numbers is 82. What is the largest of them?

Answer key

  1. 13
  2. 41
  3. 15
  4. 24
  5. 27
  6. 27
  7. 18
  8. 33
  9. 45
  10. 71
  11. 9
  12. 9
  13. 37
  14. 50
  15. 51
  16. 40
  17. 47
  18. 59
  19. 25
  20. 7
  21. 89
  22. 31
  23. 7
  24. 19
  25. 3
  26. 3
  27. 39
  28. 8
  29. 42
  30. 19
  31. 43
  32. 22
  33. 38
  34. 45
  35. 67
  36. 26
  37. 52
  38. 15
  39. 71
  40. 22

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