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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 414 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.How many degrees does the hour hand of a clock turn in 126 minutes? =
  2. 2.A clock shows 8:55. What time will it show 65 minutes later? (a) 10:10 (b) 11:00 (c) 9:50 (d) 10:00
  3. 3.A clock shows 5:49. What time will it show 147 minutes later? (a) 8:06 (b) 8:16 (c) 8:26 (d) 9:16
  4. 4.A clock shows 8:49. What time will it show 143 minutes later? (a) 12:12 (b) 11:02 (c) 11:22 (d) 11:12
  5. 5.How many degrees does the minute hand of a clock turn in 30 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 31 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 28 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 119 minutes? =
  11. 11.A clock shows 11:46. What time will it show 152 minutes later? (a) 2:28 (b) 2:18 (c) 2:08 (d) 3:18
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 54 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
  20. 20.A clock shows 7:14. What time will it show 60 minutes later? (a) 8:14 (b) 9:14 (c) 8:04 (d) 8:24
  21. 21.How many degrees does the minute hand of a clock turn in 3 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 16 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  25. 25.A clock shows 1:30. What time will it show 76 minutes later? (a) 2:36 (b) 2:46 (c) 2:56 (d) 3:46
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 17 minutes? =
  28. 28.A clock shows 11:20. What time will it show 146 minutes later? (a) 1:56 (b) 1:46 (c) 1:36 (d) 2:46
  29. 29.A clock shows 12:28. What time will it show 76 minutes later? (a) 1:34 (b) 2:44 (c) 1:44 (d) 1:54
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  31. 31.A clock shows 11:03. What time will it show 48 minutes later? (a) 11:41 (b) 12:51 (c) 12:01 (d) 11:51
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:34? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:47? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 29 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 83 minutes? =
  40. 40.A clock shows 1:08. What time will it show 150 minutes later? (a) 3:28 (b) 3:38 (c) 3:48 (d) 4:38

Answer key

  1. 63
  2. 10:00
  3. 8:16
  4. 11:12
  5. 180
  6. 186
  7. 168
  8. 107
  9. 101
  10. 59.5
  11. 2:18
  12. 139.5
  13. 126
  14. 324
  15. 45.5
  16. 109.5
  17. 22.5
  18. 93
  19. 172
  20. 8:14
  21. 18
  22. 96
  23. 165
  24. 166
  25. 2:46
  26. 169
  27. 102
  28. 1:46
  29. 1:44
  30. 175
  31. 11:51
  32. 143
  33. 65
  34. 41.5
  35. 174
  36. 145
  37. 175.5
  38. 134
  39. 41.5
  40. 3:38

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