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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 156 · 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.How many degrees does the hour hand of a clock turn in 14 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 15 minutes? =
  3. 3.A clock shows 2:48. What time will it show 93 minutes later? (a) 5:21 (b) 4:21 (c) 4:31 (d) 4:11
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 36 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 57 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  11. 11.A clock shows 10:51. What time will it show 16 minutes later? (a) 11:17 (b) 11:07 (c) 10:57 (d) 12:07
  12. 12.A clock shows 3:17. What time will it show 141 minutes later? (a) 6:38 (b) 5:48 (c) 5:28 (d) 5:38
  13. 13.A clock shows 5:29. What time will it show 49 minutes later? (a) 6:08 (b) 6:18 (c) 7:18 (d) 6:28
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
  16. 16.A clock shows 8:31. What time will it show 93 minutes later? (a) 9:54 (b) 10:14 (c) 11:04 (d) 10:04
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:21? (in degrees) =
  20. 20.A clock shows 12:51. What time will it show 14 minutes later? (a) 1:05 (b) 12:55 (c) 2:05 (d) 1:15
  21. 21.A clock shows 3:48. What time will it show 99 minutes later? (a) 5:17 (b) 5:37 (c) 5:27 (d) 6:27
  22. 22.A clock shows 1:28. What time will it show 105 minutes later? (a) 3:03 (b) 3:23 (c) 3:13 (d) 4:13
  23. 23.How many degrees does the hour hand of a clock turn in 136 minutes? =
  24. 24.A clock shows 3:59. What time will it show 18 minutes later? (a) 4:27 (b) 4:07 (c) 5:17 (d) 4:17
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 145 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 169 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 17 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 54 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  36. 36.A clock shows 7:06. What time will it show 130 minutes later? (a) 10:16 (b) 9:26 (c) 9:06 (d) 9:16
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 50 minutes? =
  40. 40.A clock shows 7:12. What time will it show 25 minutes later? (a) 7:47 (b) 8:37 (c) 7:37 (d) 7:27

Answer key

  1. 7
  2. 90
  3. 4:21
  4. 76
  5. 216
  6. 58.5
  7. 108.5
  8. 79.5
  9. 28.5
  10. 18.5
  11. 11:07
  12. 5:38
  13. 6:18
  14. 27
  15. 143.5
  16. 10:04
  17. 149.5
  18. 68
  19. 145.5
  20. 1:05
  21. 5:27
  22. 3:13
  23. 68
  24. 4:17
  25. 83
  26. 72.5
  27. 100.5
  28. 109
  29. 84.5
  30. 8.5
  31. 74
  32. 104
  33. 324
  34. 126.5
  35. 94.5
  36. 9:16
  37. 140.5
  38. 170
  39. 300
  40. 7:37

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