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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 881 · 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 3:10? (in degrees) =
  2. 2.A clock shows 7:59. What time will it show 115 minutes later? (a) 10:54 (b) 10:04 (c) 9:44 (d) 9:54
  3. 3.How many degrees does the hour hand of a clock turn in 166 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 32 minutes? =
  5. 5.A clock shows 8:35. What time will it show 131 minutes later? (a) 11:46 (b) 10:46 (c) 10:56 (d) 10:36
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 50 minutes? =
  10. 10.A clock shows 10:25. What time will it show 130 minutes later? (a) 1:35 (b) 12:35 (c) 12:25 (d) 12:45
  11. 11.A clock shows 10:54. What time will it show 100 minutes later? (a) 1:34 (b) 12:34 (c) 12:44 (d) 12:24
  12. 12.How many degrees does the minute hand of a clock turn in 14 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 5 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 133 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 83 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 154 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  18. 18.A clock shows 12:06. What time will it show 157 minutes later? (a) 3:43 (b) 2:33 (c) 2:43 (d) 2:53
  19. 19.A clock shows 5:07. What time will it show 118 minutes later? (a) 6:55 (b) 7:15 (c) 8:05 (d) 7:05
  20. 20.A clock shows 6:11. What time will it show 18 minutes later? (a) 6:39 (b) 7:29 (c) 6:19 (d) 6:29
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 111 minutes? =
  24. 24.A clock shows 8:22. What time will it show 100 minutes later? (a) 10:12 (b) 10:02 (c) 11:02 (d) 9:52
  25. 25.How many degrees does the hour hand of a clock turn in 141 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 164 minutes? =
  27. 27.A clock shows 1:35. What time will it show 79 minutes later? (a) 2:54 (b) 2:44 (c) 3:04 (d) 3:54
  28. 28.How many degrees does the minute hand of a clock turn in 20 minutes? =
  29. 29.A clock shows 8:36. What time will it show 22 minutes later? (a) 9:08 (b) 8:48 (c) 9:58 (d) 8:58
  30. 30.A clock shows 2:27. What time will it show 134 minutes later? (a) 4:51 (b) 4:41 (c) 4:31 (d) 5:41
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
  33. 33.A clock shows 10:25. What time will it show 166 minutes later? (a) 1:01 (b) 2:11 (c) 1:21 (d) 1:11
  34. 34.How many degrees does the hour hand of a clock turn in 41 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 44 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 48 minutes? =
  39. 39.A clock shows 4:21. What time will it show 146 minutes later? (a) 7:47 (b) 6:37 (c) 6:57 (d) 6:47
  40. 40.How many degrees does the minute hand of a clock turn in 54 minutes? =

Answer key

  1. 35
  2. 9:54
  3. 83
  4. 192
  5. 10:46
  6. 39.5
  7. 93
  8. 93.5
  9. 300
  10. 12:35
  11. 12:34
  12. 84
  13. 30
  14. 66.5
  15. 41.5
  16. 77
  17. 106
  18. 2:43
  19. 7:05
  20. 6:29
  21. 166.5
  22. 69.5
  23. 55.5
  24. 10:02
  25. 70.5
  26. 82
  27. 2:54
  28. 120
  29. 8:58
  30. 4:41
  31. 114
  32. 80
  33. 1:11
  34. 20.5
  35. 16
  36. 179
  37. 264
  38. 288
  39. 6:47
  40. 324

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