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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 328 · 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 minute hand of a clock turn in 15 minutes? =
  2. 2.A clock shows 11:15. What time will it show 119 minutes later? (a) 1:04 (b) 2:14 (c) 1:24 (d) 1:14
  3. 3.A clock shows 12:02. What time will it show 32 minutes later? (a) 1:34 (b) 12:24 (c) 12:44 (d) 12:34
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:08? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 45 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 4 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 123 minutes? =
  11. 11.A clock shows 4:16. What time will it show 74 minutes later? (a) 5:30 (b) 6:30 (c) 5:20 (d) 5:40
  12. 12.How many degrees does the hour hand of a clock turn in 120 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 42 minutes? =
  14. 14.A clock shows 6:54. What time will it show 53 minutes later? (a) 8:47 (b) 7:47 (c) 7:37 (d) 7:57
  15. 15.A clock shows 7:14. What time will it show 77 minutes later? (a) 9:31 (b) 8:31 (c) 8:41 (d) 8:21
  16. 16.A clock shows 3:15. What time will it show 121 minutes later? (a) 5:06 (b) 5:16 (c) 6:16 (d) 5:26
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
  19. 19.A clock shows 4:33. What time will it show 136 minutes later? (a) 6:59 (b) 6:39 (c) 6:49 (d) 7:49
  20. 20.A clock shows 5:22. What time will it show 131 minutes later? (a) 7:43 (b) 7:23 (c) 8:33 (d) 7:33
  21. 21.How many degrees does the hour hand of a clock turn in 119 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  24. 24.A clock shows 3:19. What time will it show 97 minutes later? (a) 5:06 (b) 4:46 (c) 4:56 (d) 5:56
  25. 25.How many degrees does the hour hand of a clock turn in 34 minutes? =
  26. 26.A clock shows 1:02. What time will it show 166 minutes later? (a) 3:58 (b) 3:48 (c) 4:48 (d) 3:38
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 47 minutes? =
  30. 30.A clock shows 3:06. What time will it show 146 minutes later? (a) 6:32 (b) 5:42 (c) 5:22 (d) 5:32
  31. 31.A clock shows 2:49. What time will it show 30 minutes later? (a) 3:09 (b) 3:19 (c) 3:29 (d) 4:19
  32. 32.A clock shows 9:52. What time will it show 122 minutes later? (a) 12:54 (b) 12:04 (c) 11:44 (d) 11:54
  33. 33.A clock shows 10:10. What time will it show 69 minutes later? (a) 11:19 (b) 11:29 (c) 12:19 (d) 11:09
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  36. 36.A clock shows 6:39. What time will it show 21 minutes later? (a) 6:50 (b) 7:00 (c) 7:10 (d) 8:00
  37. 37.How many degrees does the minute hand of a clock turn in 42 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 16 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =

Answer key

  1. 90
  2. 1:14
  3. 12:34
  4. 164
  5. 270
  6. 2
  7. 166.5
  8. 24
  9. 129
  10. 61.5
  11. 5:30
  12. 60
  13. 21
  14. 7:47
  15. 8:31
  16. 5:16
  17. 101
  18. 93.5
  19. 6:49
  20. 7:33
  21. 59.5
  22. 175.5
  23. 139.5
  24. 4:56
  25. 17
  26. 3:48
  27. 13
  28. 133
  29. 23.5
  30. 5:32
  31. 3:19
  32. 11:54
  33. 11:19
  34. 61
  35. 131.5
  36. 7:00
  37. 252
  38. 8
  39. 43
  40. 146.5

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