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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 31 · 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.How many degrees does the minute hand of a clock turn in 23 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:07? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 9 minutes? =
  4. 4.A clock shows 2:50. What time will it show 147 minutes later? (a) 5:07 (b) 5:27 (c) 6:17 (d) 5:17
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
  6. 6.A clock shows 4:11. What time will it show 136 minutes later? (a) 6:37 (b) 6:27 (c) 7:27 (d) 6:17
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:58? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:30? (in degrees) =
  11. 11.A clock shows 1:11. What time will it show 119 minutes later? (a) 3:20 (b) 3:10 (c) 4:10 (d) 3:00
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:10? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  15. 15.A clock shows 1:33. What time will it show 149 minutes later? (a) 5:02 (b) 4:02 (c) 4:12 (d) 3:52
  16. 16.A clock shows 5:20. What time will it show 43 minutes later? (a) 7:03 (b) 5:53 (c) 6:13 (d) 6:03
  17. 17.A clock shows 6:21. What time will it show 16 minutes later? (a) 6:27 (b) 7:37 (c) 6:47 (d) 6:37
  18. 18.How many degrees does the hour hand of a clock turn in 115 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 154 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
  21. 21.A clock shows 10:41. What time will it show 115 minutes later? (a) 1:36 (b) 12:46 (c) 12:26 (d) 12:36
  22. 22.How many degrees does the minute hand of a clock turn in 3 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 63 minutes? =
  25. 25.A clock shows 5:51. What time will it show 75 minutes later? (a) 6:56 (b) 7:16 (c) 7:06 (d) 8:06
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 32 minutes? =
  28. 28.A clock shows 8:36. What time will it show 163 minutes later? (a) 11:19 (b) 11:09 (c) 12:19 (d) 11:29
  29. 29.A clock shows 10:41. What time will it show 108 minutes later? (a) 12:39 (b) 1:29 (c) 12:29 (d) 12:19
  30. 30.A clock shows 6:50. What time will it show 66 minutes later? (a) 7:46 (b) 8:06 (c) 8:56 (d) 7:56
  31. 31.How many degrees does the minute hand of a clock turn in 25 minutes? =
  32. 32.A clock shows 5:14. What time will it show 50 minutes later? (a) 6:04 (b) 5:54 (c) 7:04 (d) 6:14
  33. 33.How many degrees does the hour hand of a clock turn in 164 minutes? =
  34. 34.A clock shows 5:20. What time will it show 135 minutes later? (a) 7:45 (b) 8:35 (c) 7:25 (d) 7:35
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 17 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 166 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  40. 40.A clock shows 3:28. What time will it show 71 minutes later? (a) 5:39 (b) 4:29 (c) 4:39 (d) 4:49

Answer key

  1. 138
  2. 68.5
  3. 54
  4. 5:17
  5. 126
  6. 6:27
  7. 121.5
  8. 158
  9. 139
  10. 15
  11. 3:10
  12. 155
  13. 83
  14. 153
  15. 4:02
  16. 6:03
  17. 6:37
  18. 57.5
  19. 77
  20. 85
  21. 12:36
  22. 18
  23. 75
  24. 31.5
  25. 7:06
  26. 75
  27. 192
  28. 11:19
  29. 12:29
  30. 7:56
  31. 150
  32. 6:04
  33. 82
  34. 7:35
  35. 157.5
  36. 32
  37. 8.5
  38. 83
  39. 134.5
  40. 4:39

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