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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 734 · 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 12:56? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
  3. 3.A clock shows 11:43. What time will it show 30 minutes later? (a) 12:23 (b) 12:03 (c) 1:13 (d) 12:13
  4. 4.A clock shows 7:08. What time will it show 51 minutes later? (a) 8:09 (b) 7:59 (c) 7:49 (d) 8:59
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 176 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 66 minutes? =
  9. 9.A clock shows 11:26. What time will it show 151 minutes later? (a) 1:47 (b) 2:07 (c) 2:57 (d) 1:57
  10. 10.How many degrees does the minute hand of a clock turn in 41 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 4 minutes? =
  13. 13.A clock shows 4:23. What time will it show 147 minutes later? (a) 7:50 (b) 6:40 (c) 6:50 (d) 7:00
  14. 14.A clock shows 10:59. What time will it show 69 minutes later? (a) 12:08 (b) 11:58 (c) 12:18 (d) 1:08
  15. 15.How many degrees does the minute hand of a clock turn in 26 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
  17. 17.A clock shows 11:53. What time will it show 32 minutes later? (a) 12:25 (b) 1:25 (c) 12:15 (d) 12:35
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  20. 20.A clock shows 1:39. What time will it show 64 minutes later? (a) 3:43 (b) 2:43 (c) 2:53 (d) 2:33
  21. 21.A clock shows 2:48. What time will it show 66 minutes later? (a) 4:54 (b) 3:54 (c) 4:04 (d) 3:44
  22. 22.A clock shows 8:31. What time will it show 134 minutes later? (a) 10:55 (b) 10:35 (c) 10:45 (d) 11:45
  23. 23.A clock shows 4:29. What time will it show 95 minutes later? (a) 7:04 (b) 6:04 (c) 5:54 (d) 6:14
  24. 24.A clock shows 10:45. What time will it show 155 minutes later? (a) 1:10 (b) 1:20 (c) 2:20 (d) 1:30
  25. 25.A clock shows 6:40. What time will it show 95 minutes later? (a) 8:05 (b) 8:15 (c) 9:15 (d) 8:25
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 48 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 97 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 167 minutes? =
  32. 32.A clock shows 10:36. What time will it show 27 minutes later? (a) 11:13 (b) 11:03 (c) 12:03 (d) 10:53
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 5 minutes? =
  35. 35.A clock shows 1:53. What time will it show 115 minutes later? (a) 3:58 (b) 3:48 (c) 4:48 (d) 3:38
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
  39. 39.A clock shows 5:57. What time will it show 84 minutes later? (a) 8:21 (b) 7:31 (c) 7:11 (d) 7:21
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =

Answer key

  1. 52
  2. 73
  3. 12:13
  4. 7:59
  5. 62.5
  6. 88
  7. 53
  8. 33
  9. 1:57
  10. 246
  11. 62
  12. 24
  13. 6:50
  14. 12:08
  15. 156
  16. 67
  17. 12:25
  18. 160.5
  19. 145
  20. 2:43
  21. 3:54
  22. 10:45
  23. 6:04
  24. 1:20
  25. 8:15
  26. 131.5
  27. 288
  28. 130
  29. 166
  30. 48.5
  31. 83.5
  32. 11:03
  33. 13.5
  34. 30
  35. 3:48
  36. 3.5
  37. 175
  38. 37.5
  39. 7:21
  40. 73.5

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