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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 54 · 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 7:34? (in degrees) =
  2. 2.A clock shows 12:53. What time will it show 112 minutes later? (a) 3:45 (b) 2:55 (c) 2:35 (d) 2:45
  3. 3.A clock shows 7:12. What time will it show 165 minutes later? (a) 10:57 (b) 9:47 (c) 10:07 (d) 9:57
  4. 4.A clock shows 1:40. What time will it show 84 minutes later? (a) 3:14 (b) 4:04 (c) 3:04 (d) 2:54
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  6. 6.A clock shows 11:47. What time will it show 38 minutes later? (a) 12:35 (b) 1:25 (c) 12:15 (d) 12:25
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
  9. 9.A clock shows 12:16. What time will it show 153 minutes later? (a) 2:39 (b) 2:49 (c) 3:49 (d) 2:59
  10. 10.How many degrees does the hour hand of a clock turn in 18 minutes? =
  11. 11.A clock shows 8:00. What time will it show 113 minutes later? (a) 9:53 (b) 10:53 (c) 9:43 (d) 10:03
  12. 12.How many degrees does the minute hand of a clock turn in 35 minutes? =
  13. 13.A clock shows 6:47. What time will it show 168 minutes later? (a) 9:25 (b) 9:35 (c) 9:45 (d) 10:35
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 30 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 136 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 12 minutes? =
  18. 18.A clock shows 11:11. What time will it show 154 minutes later? (a) 1:55 (b) 1:35 (c) 2:45 (d) 1:45
  19. 19.How many degrees does the minute hand of a clock turn in 52 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 37 minutes? =
  22. 22.A clock shows 9:55. What time will it show 17 minutes later? (a) 11:12 (b) 10:22 (c) 10:02 (d) 10:12
  23. 23.A clock shows 6:43. What time will it show 91 minutes later? (a) 8:24 (b) 8:14 (c) 9:14 (d) 8:04
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 18 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 167 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 143 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 41 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 23 minutes? =
  36. 36.A clock shows 4:59. What time will it show 27 minutes later? (a) 5:26 (b) 6:26 (c) 5:16 (d) 5:36
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  38. 38.A clock shows 6:20. What time will it show 14 minutes later? (a) 6:24 (b) 7:34 (c) 6:44 (d) 6:34
  39. 39.A clock shows 1:04. What time will it show 27 minutes later? (a) 1:21 (b) 1:41 (c) 2:31 (d) 1:31
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =

Answer key

  1. 23
  2. 2:45
  3. 9:57
  4. 3:04
  5. 127
  6. 12:25
  7. 41
  8. 9.5
  9. 2:49
  10. 9
  11. 9:53
  12. 210
  13. 9:35
  14. 107.5
  15. 15
  16. 68
  17. 6
  18. 1:45
  19. 312
  20. 47
  21. 222
  22. 10:12
  23. 8:14
  24. 55
  25. 160.5
  26. 108
  27. 175.5
  28. 2
  29. 83.5
  30. 98
  31. 66
  32. 71.5
  33. 149
  34. 246
  35. 138
  36. 5:26
  37. 155.5
  38. 6:34
  39. 1:31
  40. 83

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