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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 311 · 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 4:49. What time will it show 14 minutes later? (a) 5:13 (b) 4:53 (c) 6:03 (d) 5:03
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  3. 3.A clock shows 9:57. What time will it show 130 minutes later? (a) 12:07 (b) 12:17 (c) 1:07 (d) 11:57
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
  6. 6.A clock shows 6:36. What time will it show 39 minutes later? (a) 7:15 (b) 7:25 (c) 7:05 (d) 8:15
  7. 7.How many degrees does the hour hand of a clock turn in 67 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 23 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 33 minutes? =
  10. 10.A clock shows 7:06. What time will it show 116 minutes later? (a) 9:02 (b) 8:52 (c) 9:12 (d) 10:02
  11. 11.How many degrees does the minute hand of a clock turn in 25 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 168 minutes? =
  14. 14.A clock shows 5:54. What time will it show 129 minutes later? (a) 8:03 (b) 8:13 (c) 7:53 (d) 9:03
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 119 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  21. 21.A clock shows 8:27. What time will it show 170 minutes later? (a) 11:07 (b) 11:27 (c) 11:17 (d) 12:17
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  24. 24.A clock shows 1:59. What time will it show 12 minutes later? (a) 2:01 (b) 3:11 (c) 2:21 (d) 2:11
  25. 25.A clock shows 3:50. What time will it show 156 minutes later? (a) 6:26 (b) 6:16 (c) 7:26 (d) 6:36
  26. 26.How many degrees does the hour hand of a clock turn in 98 minutes? =
  27. 27.A clock shows 9:46. What time will it show 110 minutes later? (a) 11:46 (b) 11:26 (c) 11:36 (d) 12:36
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  29. 29.A clock shows 12:31. What time will it show 92 minutes later? (a) 3:03 (b) 1:53 (c) 2:03 (d) 2:13
  30. 30.How many degrees does the minute hand of a clock turn in 56 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  32. 32.A clock shows 10:11. What time will it show 75 minutes later? (a) 11:36 (b) 11:16 (c) 11:26 (d) 12:26
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
  34. 34.A clock shows 9:29. What time will it show 36 minutes later? (a) 10:15 (b) 10:05 (c) 9:55 (d) 11:05
  35. 35.A clock shows 11:40. What time will it show 42 minutes later? (a) 12:32 (b) 12:12 (c) 1:22 (d) 12:22
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 41 minutes? =

Answer key

  1. 5:03
  2. 145
  3. 12:07
  4. 72
  5. 93.5
  6. 7:15
  7. 33.5
  8. 138
  9. 198
  10. 9:02
  11. 150
  12. 10
  13. 84
  14. 8:03
  15. 136
  16. 59.5
  17. 77.5
  18. 141
  19. 14
  20. 121
  21. 11:17
  22. 38
  23. 120.5
  24. 2:11
  25. 6:26
  26. 49
  27. 11:36
  28. 166
  29. 2:03
  30. 336
  31. 96.5
  32. 11:26
  33. 45
  34. 10:05
  35. 12:22
  36. 28.5
  37. 92.5
  38. 78.5
  39. 163
  40. 20.5

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