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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 590 · 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.A clock shows 3:03. What time will it show 81 minutes later? (a) 4:14 (b) 5:24 (c) 4:24 (d) 4:34
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  3. 3.A clock shows 11:30. What time will it show 64 minutes later? (a) 1:34 (b) 12:34 (c) 12:24 (d) 12:44
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 33 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 170 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 3 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  12. 12.A clock shows 5:02. What time will it show 135 minutes later? (a) 8:17 (b) 7:07 (c) 7:27 (d) 7:17
  13. 13.A clock shows 12:37. What time will it show 131 minutes later? (a) 2:58 (b) 2:38 (c) 3:48 (d) 2:48
  14. 14.How many degrees does the minute hand of a clock turn in 12 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 11 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 13 minutes? =
  17. 17.A clock shows 6:14. What time will it show 125 minutes later? (a) 8:09 (b) 8:29 (c) 8:19 (d) 9:19
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
  19. 19.A clock shows 9:56. What time will it show 81 minutes later? (a) 11:07 (b) 11:17 (c) 11:27 (d) 12:17
  20. 20.A clock shows 6:53. What time will it show 127 minutes later? (a) 9:00 (b) 8:50 (c) 10:00 (d) 9:10
  21. 21.A clock shows 3:14. What time will it show 112 minutes later? (a) 5:16 (b) 5:06 (c) 6:06 (d) 4:56
  22. 22.How many degrees does the hour hand of a clock turn in 10 minutes? =
  23. 23.A clock shows 1:14. What time will it show 72 minutes later? (a) 3:26 (b) 2:26 (c) 2:16 (d) 2:36
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 8 minutes? =
  26. 26.A clock shows 4:36. What time will it show 148 minutes later? (a) 7:04 (b) 8:04 (c) 6:54 (d) 7:14
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  28. 28.A clock shows 6:33. What time will it show 47 minutes later? (a) 8:20 (b) 7:20 (c) 7:30 (d) 7:10
  29. 29.A clock shows 1:46. What time will it show 46 minutes later? (a) 2:22 (b) 2:32 (c) 3:32 (d) 2:42
  30. 30.How many degrees does the hour hand of a clock turn in 104 minutes? =
  31. 31.A clock shows 6:17. What time will it show 104 minutes later? (a) 8:01 (b) 7:51 (c) 9:01 (d) 8:11
  32. 32.How many degrees does the minute hand of a clock turn in 9 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 39 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
  37. 37.A clock shows 2:15. What time will it show 165 minutes later? (a) 5:10 (b) 4:50 (c) 5:00 (d) 6:00
  38. 38.How many degrees does the hour hand of a clock turn in 51 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:53? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =

Answer key

  1. 4:24
  2. 16
  3. 12:34
  4. 176.5
  5. 108
  6. 136.5
  7. 107.5
  8. 198
  9. 85
  10. 18
  11. 109.5
  12. 7:17
  13. 2:48
  14. 72
  15. 66
  16. 78
  17. 8:19
  18. 69.5
  19. 11:17
  20. 9:00
  21. 5:06
  22. 5
  23. 2:26
  24. 176
  25. 48
  26. 7:04
  27. 171
  28. 7:20
  29. 2:32
  30. 52
  31. 8:01
  32. 54
  33. 37
  34. 19.5
  35. 119
  36. 115
  37. 5:00
  38. 25.5
  39. 68.5
  40. 142.5

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