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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 560 · 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 1:40? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
  3. 3.A clock shows 7:26. What time will it show 168 minutes later? (a) 10:24 (b) 10:04 (c) 11:14 (d) 10:14
  4. 4.How many degrees does the minute hand of a clock turn in 16 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 139 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 163 minutes? =
  7. 7.A clock shows 10:32. What time will it show 54 minutes later? (a) 12:26 (b) 11:16 (c) 11:26 (d) 11:36
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  9. 9.A clock shows 11:12. What time will it show 130 minutes later? (a) 1:12 (b) 1:22 (c) 1:32 (d) 2:22
  10. 10.A clock shows 3:08. What time will it show 148 minutes later? (a) 5:36 (b) 5:46 (c) 5:26 (d) 6:36
  11. 11.How many degrees does the hour hand of a clock turn in 12 minutes? =
  12. 12.A clock shows 4:42. What time will it show 151 minutes later? (a) 8:13 (b) 7:03 (c) 7:23 (d) 7:13
  13. 13.How many degrees does the minute hand of a clock turn in 56 minutes? =
  14. 14.A clock shows 3:06. What time will it show 43 minutes later? (a) 3:39 (b) 4:49 (c) 3:59 (d) 3:49
  15. 15.A clock shows 2:48. What time will it show 17 minutes later? (a) 2:55 (b) 3:15 (c) 4:05 (d) 3:05
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 123 minutes? =
  18. 18.A clock shows 8:13. What time will it show 41 minutes later? (a) 8:44 (b) 9:04 (c) 9:54 (d) 8:54
  19. 19.How many degrees does the hour hand of a clock turn in 173 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 18 minutes? =
  24. 24.A clock shows 1:14. What time will it show 143 minutes later? (a) 3:47 (b) 3:37 (c) 3:27 (d) 4:37
  25. 25.A clock shows 5:40. What time will it show 98 minutes later? (a) 7:28 (b) 7:18 (c) 7:08 (d) 8:18
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
  27. 27.A clock shows 4:32. What time will it show 38 minutes later? (a) 6:10 (b) 5:00 (c) 5:10 (d) 5:20
  28. 28.A clock shows 2:13. What time will it show 11 minutes later? (a) 2:34 (b) 2:24 (c) 2:14 (d) 3:24
  29. 29.A clock shows 12:29. What time will it show 14 minutes later? (a) 1:43 (b) 12:53 (c) 12:33 (d) 12:43
  30. 30.How many degrees does the minute hand of a clock turn in 2 minutes? =
  31. 31.A clock shows 3:09. What time will it show 72 minutes later? (a) 4:21 (b) 5:21 (c) 4:11 (d) 4:31
  32. 32.How many degrees does the minute hand of a clock turn in 15 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 33 minutes? =
  35. 35.A clock shows 10:19. What time will it show 22 minutes later? (a) 10:51 (b) 11:41 (c) 10:31 (d) 10:41
  36. 36.How many degrees does the hour hand of a clock turn in 91 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 55 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  40. 40.A clock shows 5:33. What time will it show 84 minutes later? (a) 6:57 (b) 6:47 (c) 7:57 (d) 7:07

Answer key

  1. 170
  2. 69
  3. 10:14
  4. 96
  5. 69.5
  6. 81.5
  7. 11:26
  8. 111
  9. 1:22
  10. 5:36
  11. 6
  12. 7:13
  13. 336
  14. 3:49
  15. 3:05
  16. 98
  17. 61.5
  18. 8:54
  19. 86.5
  20. 155.5
  21. 20.5
  22. 157.5
  23. 108
  24. 3:37
  25. 7:18
  26. 167.5
  27. 5:10
  28. 2:24
  29. 12:43
  30. 12
  31. 4:21
  32. 90
  33. 131.5
  34. 198
  35. 10:41
  36. 45.5
  37. 330
  38. 147
  39. 95
  40. 6:57

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