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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 669 · 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 34 minutes? =
  2. 2.A clock shows 4:38. What time will it show 39 minutes later? (a) 5:07 (b) 5:27 (c) 6:17 (d) 5:17
  3. 3.How many degrees does the hour hand of a clock turn in 138 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 32 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:07? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 156 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 44 minutes? =
  8. 8.A clock shows 8:10. What time will it show 15 minutes later? (a) 8:15 (b) 9:25 (c) 8:35 (d) 8:25
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 45 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 33 minutes? =
  13. 13.A clock shows 10:17. What time will it show 137 minutes later? (a) 12:44 (b) 1:34 (c) 12:34 (d) 12:24
  14. 14.How many degrees does the minute hand of a clock turn in 3 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 174 minutes? =
  20. 20.A clock shows 1:16. What time will it show 134 minutes later? (a) 3:20 (b) 4:30 (c) 3:30 (d) 3:40
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:28? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 8 minutes? =
  23. 23.A clock shows 2:03. What time will it show 114 minutes later? (a) 3:57 (b) 3:47 (c) 4:07 (d) 4:57
  24. 24.A clock shows 6:38. What time will it show 110 minutes later? (a) 9:28 (b) 8:28 (c) 8:18 (d) 8:38
  25. 25.A clock shows 10:48. What time will it show 140 minutes later? (a) 12:58 (b) 1:18 (c) 2:08 (d) 1:08
  26. 26.A clock shows 8:12. What time will it show 107 minutes later? (a) 10:59 (b) 9:49 (c) 9:59 (d) 10:09
  27. 27.A clock shows 7:30. What time will it show 16 minutes later? (a) 8:46 (b) 7:56 (c) 7:36 (d) 7:46
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 10 minutes? =
  31. 31.A clock shows 6:52. What time will it show 108 minutes later? (a) 8:30 (b) 9:40 (c) 8:40 (d) 8:50
  32. 32.A clock shows 6:09. What time will it show 114 minutes later? (a) 9:03 (b) 7:53 (c) 8:03 (d) 8:13
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:41? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 13 minutes? =
  35. 35.A clock shows 11:46. What time will it show 40 minutes later? (a) 12:36 (b) 12:26 (c) 12:16 (d) 1:26
  36. 36.A clock shows 2:30. What time will it show 57 minutes later? (a) 3:27 (b) 3:17 (c) 4:27 (d) 3:37
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
  38. 38.A clock shows 6:41. What time will it show 14 minutes later? (a) 6:55 (b) 7:55 (c) 6:45 (d) 7:05
  39. 39.How many degrees does the minute hand of a clock turn in 2 minutes? =
  40. 40.A clock shows 11:24. What time will it show 24 minutes later? (a) 11:38 (b) 11:48 (c) 12:48 (d) 11:58

Answer key

  1. 17
  2. 5:17
  3. 69
  4. 192
  5. 68.5
  6. 78
  7. 264
  8. 8:25
  9. 56.5
  10. 157
  11. 270
  12. 16.5
  13. 12:34
  14. 18
  15. 41.5
  16. 162
  17. 30
  18. 32.5
  19. 87
  20. 3:30
  21. 116
  22. 48
  23. 3:57
  24. 8:28
  25. 1:08
  26. 9:59
  27. 7:46
  28. 50
  29. 79
  30. 60
  31. 8:40
  32. 8:03
  33. 75.5
  34. 6.5
  35. 12:26
  36. 3:27
  37. 167.5
  38. 6:55
  39. 12
  40. 11:48

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