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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 628 · 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 hour hand of a clock turn in 59 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 64 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 43 minutes? =
  5. 5.A clock shows 1:34. What time will it show 37 minutes later? (a) 3:11 (b) 2:21 (c) 2:11 (d) 2:01
  6. 6.How many degrees does the hour hand of a clock turn in 161 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 99 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 7 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
  10. 10.A clock shows 3:23. What time will it show 140 minutes later? (a) 5:53 (b) 5:33 (c) 5:43 (d) 6:43
  11. 11.How many degrees does the minute hand of a clock turn in 24 minutes? =
  12. 12.A clock shows 2:31. What time will it show 36 minutes later? (a) 3:07 (b) 3:17 (c) 2:57 (d) 4:07
  13. 13.A clock shows 3:01. What time will it show 161 minutes later? (a) 5:52 (b) 6:42 (c) 5:32 (d) 5:42
  14. 14.How many degrees does the minute hand of a clock turn in 30 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 114 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 19 minutes? =
  21. 21.A clock shows 11:21. What time will it show 37 minutes later? (a) 11:48 (b) 12:58 (c) 12:08 (d) 11:58
  22. 22.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 14 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 32 minutes? =
  26. 26.A clock shows 9:27. What time will it show 168 minutes later? (a) 12:05 (b) 1:15 (c) 12:15 (d) 12:25
  27. 27.How many degrees does the minute hand of a clock turn in 42 minutes? =
  28. 28.A clock shows 6:25. What time will it show 63 minutes later? (a) 8:28 (b) 7:28 (c) 7:18 (d) 7:38
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 20 minutes? =
  32. 32.A clock shows 12:39. What time will it show 109 minutes later? (a) 3:28 (b) 2:18 (c) 2:38 (d) 2:28
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
  34. 34.A clock shows 5:06. What time will it show 134 minutes later? (a) 7:10 (b) 7:30 (c) 7:20 (d) 8:20
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 152 minutes? =
  37. 37.A clock shows 4:34. What time will it show 19 minutes later? (a) 4:43 (b) 5:53 (c) 5:03 (d) 4:53
  38. 38.A clock shows 1:05. What time will it show 104 minutes later? (a) 2:59 (b) 2:39 (c) 3:49 (d) 2:49
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  40. 40.A clock shows 12:05. What time will it show 29 minutes later? (a) 12:34 (b) 1:34 (c) 12:44 (d) 12:24

Answer key

  1. 29.5
  2. 64.5
  3. 32
  4. 258
  5. 2:11
  6. 80.5
  7. 49.5
  8. 42
  9. 85.5
  10. 5:43
  11. 144
  12. 3:07
  13. 5:42
  14. 180
  15. 57
  16. 22
  17. 103.5
  18. 59
  19. 123.5
  20. 114
  21. 11:58
  22. 47
  23. 140
  24. 84
  25. 192
  26. 12:15
  27. 252
  28. 7:28
  29. 109.5
  30. 154
  31. 10
  32. 2:28
  33. 174
  34. 7:20
  35. 164
  36. 76
  37. 4:53
  38. 2:49
  39. 69.5
  40. 12:34

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