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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 169 · 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 2:49? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  7. 7.A clock shows 7:09. What time will it show 136 minutes later? (a) 9:35 (b) 9:15 (c) 10:25 (d) 9:25
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  11. 11.A clock shows 4:18. What time will it show 107 minutes later? (a) 6:15 (b) 5:55 (c) 7:05 (d) 6:05
  12. 12.How many degrees does the hour hand of a clock turn in 153 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
  14. 14.A clock shows 7:49. What time will it show 136 minutes later? (a) 11:05 (b) 9:55 (c) 10:05 (d) 10:15
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  16. 16.A clock shows 7:10. What time will it show 11 minutes later? (a) 8:21 (b) 7:11 (c) 7:21 (d) 7:31
  17. 17.How many degrees does the hour hand of a clock turn in 138 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 5 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
  21. 21.A clock shows 11:34. What time will it show 37 minutes later? (a) 12:11 (b) 12:21 (c) 1:11 (d) 12:01
  22. 22.A clock shows 6:21. What time will it show 138 minutes later? (a) 8:29 (b) 8:49 (c) 9:39 (d) 8:39
  23. 23.A clock shows 7:24. What time will it show 34 minutes later? (a) 8:58 (b) 8:08 (c) 7:48 (d) 7:58
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:44? (in degrees) =
  25. 25.A clock shows 2:55. What time will it show 165 minutes later? (a) 5:40 (b) 5:30 (c) 6:40 (d) 5:50
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  28. 28.A clock shows 9:18. What time will it show 102 minutes later? (a) 11:10 (b) 11:00 (c) 10:50 (d) 12:00
  29. 29.A clock shows 4:45. What time will it show 72 minutes later? (a) 5:57 (b) 5:47 (c) 6:57 (d) 6:07
  30. 30.How many degrees does the hour hand of a clock turn in 48 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 167 minutes? =
  32. 32.A clock shows 3:05. What time will it show 61 minutes later? (a) 3:56 (b) 5:06 (c) 4:16 (d) 4:06
  33. 33.A clock shows 4:09. What time will it show 74 minutes later? (a) 5:13 (b) 5:23 (c) 5:33 (d) 6:23
  34. 34.A clock shows 6:43. What time will it show 128 minutes later? (a) 8:41 (b) 9:01 (c) 9:51 (d) 8:51
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
  36. 36.A clock shows 10:01. What time will it show 23 minutes later? (a) 11:24 (b) 10:14 (c) 10:24 (d) 10:34
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 98 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =

Answer key

  1. 150.5
  2. 156.5
  3. 26
  4. 47
  5. 98.5
  6. 131.5
  7. 9:25
  8. 14.5
  9. 159.5
  10. 180
  11. 6:05
  12. 76.5
  13. 156
  14. 10:05
  15. 177.5
  16. 7:21
  17. 69
  18. 60
  19. 30
  20. 45.5
  21. 12:11
  22. 8:39
  23. 7:58
  24. 92
  25. 5:40
  26. 174.5
  27. 17
  28. 11:00
  29. 5:57
  30. 24
  31. 83.5
  32. 4:06
  33. 5:23
  34. 8:51
  35. 96.5
  36. 10:24
  37. 169
  38. 57.5
  39. 49
  40. 2

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