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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 867 · 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 54 minutes? =
  2. 2.A clock shows 7:50. What time will it show 45 minutes later? (a) 8:25 (b) 9:35 (c) 8:45 (d) 8:35
  3. 3.A clock shows 6:39. What time will it show 68 minutes later? (a) 7:57 (b) 7:37 (c) 7:47 (d) 8:47
  4. 4.How many degrees does the minute hand of a clock turn in 6 minutes? =
  5. 5.A clock shows 9:03. What time will it show 127 minutes later? (a) 11:00 (b) 11:20 (c) 12:10 (d) 11:10
  6. 6.A clock shows 7:01. What time will it show 57 minutes later? (a) 8:58 (b) 8:08 (c) 7:48 (d) 7:58
  7. 7.A clock shows 2:20. What time will it show 124 minutes later? (a) 4:34 (b) 4:24 (c) 5:24 (d) 4:14
  8. 8.A clock shows 8:44. What time will it show 73 minutes later? (a) 10:07 (b) 9:57 (c) 10:57 (d) 9:47
  9. 9.How many degrees does the hour hand of a clock turn in 70 minutes? =
  10. 10.A clock shows 7:30. What time will it show 69 minutes later? (a) 8:29 (b) 8:39 (c) 8:49 (d) 9:39
  11. 11.A clock shows 9:53. What time will it show 155 minutes later? (a) 12:18 (b) 1:28 (c) 12:38 (d) 12:28
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 32 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 12 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  20. 20.A clock shows 8:11. What time will it show 135 minutes later? (a) 11:26 (b) 10:16 (c) 10:36 (d) 10:26
  21. 21.A clock shows 11:55. What time will it show 45 minutes later? (a) 12:40 (b) 1:40 (c) 12:50 (d) 12:30
  22. 22.A clock shows 5:50. What time will it show 61 minutes later? (a) 6:51 (b) 7:51 (c) 7:01 (d) 6:41
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 105 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 29 minutes? =
  27. 27.A clock shows 5:33. What time will it show 157 minutes later? (a) 8:20 (b) 8:00 (c) 9:10 (d) 8:10
  28. 28.A clock shows 7:17. What time will it show 17 minutes later? (a) 7:24 (b) 8:34 (c) 7:34 (d) 7:44
  29. 29.How many degrees does the minute hand of a clock turn in 56 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 21 minutes? =
  31. 31.A clock shows 2:35. What time will it show 151 minutes later? (a) 5:16 (b) 4:56 (c) 5:06 (d) 6:06
  32. 32.A clock shows 4:22. What time will it show 32 minutes later? (a) 4:44 (b) 5:04 (c) 5:54 (d) 4:54
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  34. 34.A clock shows 8:07. What time will it show 96 minutes later? (a) 10:43 (b) 9:33 (c) 9:53 (d) 9:43
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 19 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =

Answer key

  1. 324
  2. 8:35
  3. 7:47
  4. 36
  5. 11:10
  6. 7:58
  7. 4:24
  8. 9:57
  9. 35
  10. 8:39
  11. 12:28
  12. 29.5
  13. 192
  14. 153.5
  15. 42.5
  16. 78
  17. 72
  18. 68
  19. 48.5
  20. 10:26
  21. 12:40
  22. 6:51
  23. 148.5
  24. 52.5
  25. 58.5
  26. 14.5
  27. 8:10
  28. 7:34
  29. 336
  30. 126
  31. 5:06
  32. 4:54
  33. 26.5
  34. 9:43
  35. 168
  36. 44
  37. 104
  38. 137.5
  39. 114
  40. 92.5

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