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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 435 · 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.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  2. 2.A clock shows 6:46. What time will it show 53 minutes later? (a) 7:29 (b) 8:39 (c) 7:49 (d) 7:39
  3. 3.A clock shows 7:15. What time will it show 17 minutes later? (a) 7:42 (b) 7:22 (c) 7:32 (d) 8:32
  4. 4.A clock shows 7:01. What time will it show 132 minutes later? (a) 9:23 (b) 9:13 (c) 10:13 (d) 9:03
  5. 5.A clock shows 12:26. What time will it show 140 minutes later? (a) 2:56 (b) 2:36 (c) 3:46 (d) 2:46
  6. 6.A clock shows 11:34. What time will it show 42 minutes later? (a) 12:26 (b) 12:16 (c) 1:16 (d) 12:06
  7. 7.How many degrees does the hour hand of a clock turn in 153 minutes? =
  8. 8.A clock shows 9:15. What time will it show 136 minutes later? (a) 11:31 (b) 12:31 (c) 11:21 (d) 11:41
  9. 9.How many degrees does the minute hand of a clock turn in 8 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 3 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 89 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 36 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 55 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 36 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 34 minutes? =
  20. 20.A clock shows 6:56. What time will it show 69 minutes later? (a) 8:15 (b) 8:05 (c) 9:05 (d) 7:55
  21. 21.How many degrees does the hour hand of a clock turn in 104 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 40 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 20 minutes? =
  24. 24.A clock shows 11:53. What time will it show 132 minutes later? (a) 1:55 (b) 2:05 (c) 2:15 (d) 3:05
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 12 minutes? =
  27. 27.A clock shows 3:07. What time will it show 139 minutes later? (a) 5:16 (b) 5:36 (c) 6:26 (d) 5:26
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 7 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 106 minutes? =
  32. 32.A clock shows 6:56. What time will it show 12 minutes later? (a) 7:18 (b) 8:08 (c) 7:08 (d) 6:58
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 55 minutes? =
  35. 35.A clock shows 1:57. What time will it show 105 minutes later? (a) 4:42 (b) 3:42 (c) 3:52 (d) 3:32
  36. 36.A clock shows 2:05. What time will it show 155 minutes later? (a) 4:30 (b) 5:40 (c) 4:40 (d) 4:50
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 19 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =

Answer key

  1. 18
  2. 7:39
  3. 7:32
  4. 9:13
  5. 2:46
  6. 12:16
  7. 76.5
  8. 11:31
  9. 48
  10. 94.5
  11. 98.5
  12. 18
  13. 45.5
  14. 44.5
  15. 131
  16. 216
  17. 27.5
  18. 18
  19. 204
  20. 8:05
  21. 52
  22. 240
  23. 10
  24. 2:05
  25. 59.5
  26. 72
  27. 5:26
  28. 40
  29. 167.5
  30. 42
  31. 53
  32. 7:08
  33. 104
  34. 330
  35. 3:42
  36. 4:40
  37. 47
  38. 114
  39. 64
  40. 44.5

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