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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 216 · 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 1:32? (in degrees) =
  2. 2.A clock shows 9:55. What time will it show 33 minutes later? (a) 11:28 (b) 10:28 (c) 10:38 (d) 10:18
  3. 3.A clock shows 12:31. What time will it show 64 minutes later? (a) 2:35 (b) 1:35 (c) 1:45 (d) 1:25
  4. 4.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  5. 5.A clock shows 9:13. What time will it show 49 minutes later? (a) 9:52 (b) 11:02 (c) 10:12 (d) 10:02
  6. 6.How many degrees does the minute hand of a clock turn in 35 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 17 minutes? =
  8. 8.A clock shows 12:48. What time will it show 164 minutes later? (a) 3:22 (b) 3:32 (c) 3:42 (d) 4:32
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  10. 10.A clock shows 1:51. What time will it show 10 minutes later? (a) 2:11 (b) 1:51 (c) 3:01 (d) 2:01
  11. 11.A clock shows 4:14. What time will it show 57 minutes later? (a) 5:01 (b) 5:21 (c) 6:11 (d) 5:11
  12. 12.A clock shows 3:35. What time will it show 95 minutes later? (a) 5:20 (b) 5:10 (c) 5:00 (d) 6:10
  13. 13.A clock shows 3:09. What time will it show 140 minutes later? (a) 5:19 (b) 5:29 (c) 5:39 (d) 6:29
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 62 minutes? =
  16. 16.A clock shows 12:11. What time will it show 25 minutes later? (a) 1:36 (b) 12:36 (c) 12:46 (d) 12:26
  17. 17.How many degrees does the hour hand of a clock turn in 128 minutes? =
  18. 18.A clock shows 7:41. What time will it show 41 minutes later? (a) 8:12 (b) 8:22 (c) 8:32 (d) 9:22
  19. 19.How many degrees does the minute hand of a clock turn in 55 minutes? =
  20. 20.A clock shows 9:33. What time will it show 81 minutes later? (a) 11:54 (b) 11:04 (c) 10:44 (d) 10:54
  21. 21.How many degrees does the minute hand of a clock turn in 41 minutes? =
  22. 22.A clock shows 12:01. What time will it show 108 minutes later? (a) 1:39 (b) 1:49 (c) 1:59 (d) 2:49
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  24. 24.A clock shows 3:25. What time will it show 170 minutes later? (a) 6:05 (b) 7:15 (c) 6:25 (d) 6:15
  25. 25.A clock shows 9:25. What time will it show 134 minutes later? (a) 11:39 (b) 11:49 (c) 12:39 (d) 11:29
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  27. 27.A clock shows 6:58. What time will it show 169 minutes later? (a) 10:47 (b) 9:37 (c) 9:47 (d) 9:57
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  29. 29.A clock shows 7:00. What time will it show 141 minutes later? (a) 9:21 (b) 9:31 (c) 9:11 (d) 10:21
  30. 30.How many degrees does the hour hand of a clock turn in 34 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 19 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 51 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
  36. 36.A clock shows 8:39. What time will it show 116 minutes later? (a) 10:35 (b) 10:25 (c) 11:35 (d) 10:45
  37. 37.How many degrees does the hour hand of a clock turn in 155 minutes? =
  38. 38.A clock shows 7:41. What time will it show 83 minutes later? (a) 10:04 (b) 9:14 (c) 8:54 (d) 9:04
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
  40. 40.A clock shows 3:36. What time will it show 83 minutes later? (a) 4:49 (b) 5:59 (c) 4:59 (d) 5:09

Answer key

  1. 146
  2. 10:28
  3. 1:35
  4. 15
  5. 10:02
  6. 210
  7. 8.5
  8. 3:32
  9. 116.5
  10. 2:01
  11. 5:11
  12. 5:10
  13. 5:29
  14. 166
  15. 31
  16. 12:36
  17. 64
  18. 8:22
  19. 330
  20. 10:54
  21. 246
  22. 1:49
  23. 8
  24. 6:15
  25. 11:39
  26. 70.5
  27. 9:47
  28. 163.5
  29. 9:21
  30. 17
  31. 114
  32. 306
  33. 122.5
  34. 123
  35. 74.5
  36. 10:35
  37. 77.5
  38. 9:04
  39. 87
  40. 4:59

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