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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 741 · 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 7:44? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 116 minutes? =
  3. 3.A clock shows 2:45. What time will it show 155 minutes later? (a) 5:20 (b) 6:20 (c) 5:10 (d) 5:30
  4. 4.A clock shows 9:57. What time will it show 135 minutes later? (a) 12:22 (b) 1:12 (c) 12:02 (d) 12:12
  5. 5.How many degrees does the hour hand of a clock turn in 10 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  8. 8.A clock shows 4:39. What time will it show 107 minutes later? (a) 6:26 (b) 6:16 (c) 6:36 (d) 7:26
  9. 9.A clock shows 4:59. What time will it show 54 minutes later? (a) 6:03 (b) 5:53 (c) 6:53 (d) 5:43
  10. 10.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
  11. 11.A clock shows 2:19. What time will it show 15 minutes later? (a) 2:24 (b) 3:34 (c) 2:34 (d) 2:44
  12. 12.A clock shows 8:18. What time will it show 28 minutes later? (a) 9:46 (b) 8:36 (c) 8:46 (d) 8:56
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
  15. 15.A clock shows 1:31. What time will it show 163 minutes later? (a) 4:04 (b) 4:14 (c) 4:24 (d) 5:14
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 33 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 62 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  22. 22.A clock shows 9:07. What time will it show 110 minutes later? (a) 10:57 (b) 11:57 (c) 10:47 (d) 11:07
  23. 23.A clock shows 12:20. What time will it show 57 minutes later? (a) 1:07 (b) 2:17 (c) 1:27 (d) 1:17
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 152 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 118 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
  30. 30.A clock shows 9:40. What time will it show 31 minutes later? (a) 10:01 (b) 10:21 (c) 11:11 (d) 10:11
  31. 31.How many degrees does the minute hand of a clock turn in 2 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 31 minutes? =
  33. 33.A clock shows 6:00. What time will it show 53 minutes later? (a) 6:43 (b) 7:53 (c) 6:53 (d) 7:03
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  35. 35.A clock shows 2:17. What time will it show 28 minutes later? (a) 2:55 (b) 2:45 (c) 3:45 (d) 2:35
  36. 36.A clock shows 4:17. What time will it show 50 minutes later? (a) 5:07 (b) 5:17 (c) 4:57 (d) 6:07
  37. 37.A clock shows 4:56. What time will it show 119 minutes later? (a) 6:55 (b) 7:55 (c) 6:45 (d) 7:05
  38. 38.A clock shows 3:02. What time will it show 73 minutes later? (a) 5:15 (b) 4:15 (c) 4:25 (d) 4:05
  39. 39.A clock shows 2:50. What time will it show 54 minutes later? (a) 3:54 (b) 3:44 (c) 4:44 (d) 3:34
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =

Answer key

  1. 32
  2. 58
  3. 5:20
  4. 12:12
  5. 5
  6. 120
  7. 83
  8. 6:26
  9. 5:53
  10. 49
  11. 2:34
  12. 8:46
  13. 115.5
  14. 101
  15. 4:14
  16. 153.5
  17. 198
  18. 124
  19. 31
  20. 170
  21. 76
  22. 10:57
  23. 1:17
  24. 180
  25. 76
  26. 46.5
  27. 145.5
  28. 59
  29. 56.5
  30. 10:11
  31. 12
  32. 186
  33. 6:53
  34. 108.5
  35. 2:45
  36. 5:07
  37. 6:55
  38. 4:15
  39. 3:44
  40. 60

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