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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 121 · 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 3:35? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  3. 3.A clock shows 12:59. What time will it show 22 minutes later? (a) 1:21 (b) 1:31 (c) 1:11 (d) 2:21
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  5. 5.A clock shows 5:39. What time will it show 86 minutes later? (a) 8:05 (b) 7:15 (c) 7:05 (d) 6:55
  6. 6.How many degrees does the hour hand of a clock turn in 119 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 27 minutes? =
  9. 9.A clock shows 4:44. What time will it show 26 minutes later? (a) 6:10 (b) 5:20 (c) 5:00 (d) 5:10
  10. 10.A clock shows 8:08. What time will it show 32 minutes later? (a) 8:30 (b) 8:40 (c) 8:50 (d) 9:40
  11. 11.A clock shows 1:02. What time will it show 111 minutes later? (a) 2:43 (b) 3:03 (c) 2:53 (d) 3:53
  12. 12.How many degrees does the minute hand of a clock turn in 21 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  15. 15.A clock shows 2:25. What time will it show 127 minutes later? (a) 5:32 (b) 4:32 (c) 4:42 (d) 4:22
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
  18. 18.A clock shows 2:17. What time will it show 31 minutes later? (a) 2:58 (b) 2:38 (c) 2:48 (d) 3:48
  19. 19.A clock shows 9:52. What time will it show 111 minutes later? (a) 11:33 (b) 11:53 (c) 12:43 (d) 11:43
  20. 20.How many degrees does the minute hand of a clock turn in 8 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 35 minutes? =
  23. 23.A clock shows 12:13. What time will it show 66 minutes later? (a) 1:19 (b) 1:29 (c) 1:09 (d) 2:19
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 18 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 37 minutes? =
  29. 29.A clock shows 5:05. What time will it show 163 minutes later? (a) 7:58 (b) 8:48 (c) 7:38 (d) 7:48
  30. 30.How many degrees does the hour hand of a clock turn in 112 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  34. 34.A clock shows 10:40. What time will it show 50 minutes later? (a) 11:40 (b) 12:30 (c) 11:20 (d) 11:30
  35. 35.A clock shows 7:52. What time will it show 128 minutes later? (a) 10:10 (b) 11:00 (c) 9:50 (d) 10:00
  36. 36.A clock shows 10:01. What time will it show 58 minutes later? (a) 11:59 (b) 10:49 (c) 10:59 (d) 11:09
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 162 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =

Answer key

  1. 102.5
  2. 49
  3. 1:21
  4. 60
  5. 7:05
  6. 59.5
  7. 139
  8. 13.5
  9. 5:10
  10. 8:40
  11. 2:53
  12. 126
  13. 37.5
  14. 8.5
  15. 4:32
  16. 165
  17. 19.5
  18. 2:48
  19. 11:43
  20. 48
  21. 68
  22. 17.5
  23. 1:19
  24. 153
  25. 108
  26. 97
  27. 6.5
  28. 222
  29. 7:48
  30. 56
  31. 42.5
  32. 4.5
  33. 112
  34. 11:30
  35. 10:00
  36. 10:59
  37. 110
  38. 75
  39. 81
  40. 153.5

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