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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 144 · 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 9:43? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 64 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
  7. 7.A clock shows 1:01. What time will it show 164 minutes later? (a) 3:45 (b) 4:45 (c) 3:35 (d) 3:55
  8. 8.How many degrees does the minute hand of a clock turn in 55 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 9 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 53 minutes? =
  11. 11.A clock shows 2:10. What time will it show 57 minutes later? (a) 4:07 (b) 3:07 (c) 2:57 (d) 3:17
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 24 minutes? =
  14. 14.A clock shows 12:04. What time will it show 68 minutes later? (a) 1:02 (b) 1:12 (c) 1:22 (d) 2:12
  15. 15.A clock shows 8:00. What time will it show 39 minutes later? (a) 9:39 (b) 8:29 (c) 8:39 (d) 8:49
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 20 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
  20. 20.A clock shows 5:12. What time will it show 131 minutes later? (a) 7:33 (b) 7:13 (c) 8:23 (d) 7:23
  21. 21.A clock shows 3:52. What time will it show 73 minutes later? (a) 5:15 (b) 4:55 (c) 6:05 (d) 5:05
  22. 22.A clock shows 10:59. What time will it show 46 minutes later? (a) 11:55 (b) 11:35 (c) 12:45 (d) 11:45
  23. 23.A clock shows 11:21. What time will it show 95 minutes later? (a) 1:06 (b) 12:46 (c) 12:56 (d) 1:56
  24. 24.A clock shows 1:04. What time will it show 20 minutes later? (a) 1:34 (b) 1:14 (c) 2:24 (d) 1:24
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  26. 26.A clock shows 1:31. What time will it show 90 minutes later? (a) 4:01 (b) 3:11 (c) 2:51 (d) 3:01
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 2 minutes? =
  29. 29.A clock shows 10:01. What time will it show 32 minutes later? (a) 10:43 (b) 10:23 (c) 11:33 (d) 10:33
  30. 30.A clock shows 11:20. What time will it show 124 minutes later? (a) 1:34 (b) 1:14 (c) 1:24 (d) 2:24
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  33. 33.A clock shows 2:24. What time will it show 52 minutes later? (a) 3:06 (b) 4:16 (c) 3:26 (d) 3:16
  34. 34.How many degrees does the hour hand of a clock turn in 155 minutes? =
  35. 35.A clock shows 12:20. What time will it show 13 minutes later? (a) 1:33 (b) 12:23 (c) 12:33 (d) 12:43
  36. 36.A clock shows 7:08. What time will it show 109 minutes later? (a) 9:07 (b) 8:57 (c) 9:57 (d) 8:47
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  38. 38.A clock shows 9:56. What time will it show 117 minutes later? (a) 11:43 (b) 12:03 (c) 11:53 (d) 12:53
  39. 39.How many degrees does the minute hand of a clock turn in 39 minutes? =
  40. 40.A clock shows 3:38. What time will it show 113 minutes later? (a) 5:31 (b) 5:41 (c) 6:31 (d) 5:21

Answer key

  1. 33.5
  2. 32
  3. 19.5
  4. 108.5
  5. 93.5
  6. 34.5
  7. 3:45
  8. 330
  9. 54
  10. 318
  11. 3:07
  12. 139
  13. 12
  14. 1:12
  15. 8:39
  16. 62.5
  17. 61.5
  18. 120
  19. 56.5
  20. 7:23
  21. 5:05
  22. 11:45
  23. 12:56
  24. 1:24
  25. 78
  26. 3:01
  27. 136
  28. 12
  29. 10:33
  30. 1:24
  31. 2
  32. 53
  33. 3:16
  34. 77.5
  35. 12:33
  36. 8:57
  37. 80.5
  38. 11:53
  39. 234
  40. 5:31

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