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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 964 · 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 186. What is the smallest of them?
  2. 2.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  3. 3.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  4. 4.One number is 5 times another. Their difference is 84. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 14. What is the smaller number?
  7. 7.The sum of two numbers is 171 and their difference is 7. What is the larger number?
  8. 8.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  10. 10.One number is 6 times another. Their difference is 170. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  12. 12.The sum of two numbers is 26 and their difference is 16. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 117. What is the largest of them?
  14. 14.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  15. 15.One number is 3 times another. Their difference is 70. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  17. 17.The sum of two numbers is 95 and their difference is 89. What is the larger number?
  18. 18.One number is 6 times another. Their difference is 140. What is the smaller number?
  19. 19.The sum of two numbers is 13 and their difference is 11. What is the smaller number?
  20. 20.The sum of two numbers is 78 and their difference is 16. What is the larger number?
  21. 21.The sum of two numbers is 50 and their difference is 48. What is the larger number?
  22. 22.One number is 2 times another. Their difference is 12. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 24. What is the largest of them?
  24. 24.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  25. 25.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  26. 26.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  27. 27.One number is 5 times another. Their difference is 44. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 94. What is the largest of them?
  29. 29.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  30. 30.One number is 5 times another. Their difference is 80. What is the smaller number?
  31. 31.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  33. 33.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  34. 34.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  35. 35.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?
  36. 36.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  37. 37.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  38. 38.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  39. 39.The sum of two numbers is 32 and their difference is 30. What is the smaller number?
  40. 40.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?

Answer key

  1. 45
  2. 46
  3. 44
  4. 21
  5. 33
  6. 7
  7. 89
  8. 38
  9. 52
  10. 34
  11. 26
  12. 5
  13. 40
  14. 53
  15. 35
  16. 17
  17. 92
  18. 28
  19. 1
  20. 47
  21. 49
  22. 12
  23. 9
  24. 13
  25. 22
  26. 54
  27. 11
  28. 25
  29. 82
  30. 20
  31. 10
  32. 57
  33. 53
  34. 59
  35. 45
  36. 37
  37. 69
  38. 39
  39. 1
  40. 26

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