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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 547 · 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 2:43? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  3. 3.A clock shows 5:33. What time will it show 161 minutes later? (a) 8:14 (b) 9:14 (c) 8:24 (d) 8:04
  4. 4.A clock shows 6:28. What time will it show 71 minutes later? (a) 8:39 (b) 7:29 (c) 7:39 (d) 7:49
  5. 5.A clock shows 11:40. What time will it show 56 minutes later? (a) 12:46 (b) 12:26 (c) 1:36 (d) 12:36
  6. 6.How many degrees does the minute hand of a clock turn in 42 minutes? =
  7. 7.A clock shows 12:59. What time will it show 12 minutes later? (a) 1:11 (b) 1:01 (c) 2:11 (d) 1:21
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  9. 9.A clock shows 5:16. What time will it show 53 minutes later? (a) 6:09 (b) 5:59 (c) 7:09 (d) 6:19
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 10 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 5 minutes? =
  14. 14.A clock shows 11:36. What time will it show 46 minutes later? (a) 12:22 (b) 1:22 (c) 12:12 (d) 12:32
  15. 15.A clock shows 11:33. What time will it show 27 minutes later? (a) 12:10 (b) 11:50 (c) 12:00 (d) 1:00
  16. 16.A clock shows 3:44. What time will it show 82 minutes later? (a) 5:16 (b) 6:06 (c) 4:56 (d) 5:06
  17. 17.How many degrees does the hour hand of a clock turn in 62 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 114 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 32 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 117 minutes? =
  21. 21.A clock shows 10:15. What time will it show 38 minutes later? (a) 10:53 (b) 11:03 (c) 10:43 (d) 11:53
  22. 22.How many degrees does the minute hand of a clock turn in 37 minutes? =
  23. 23.A clock shows 7:04. What time will it show 166 minutes later? (a) 10:50 (b) 9:50 (c) 10:00 (d) 9:40
  24. 24.How many degrees does the minute hand of a clock turn in 40 minutes? =
  25. 25.A clock shows 8:15. What time will it show 56 minutes later? (a) 9:21 (b) 9:01 (c) 9:11 (d) 10:11
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:38? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 30 minutes? =
  28. 28.A clock shows 3:00. What time will it show 133 minutes later? (a) 5:13 (b) 6:13 (c) 5:03 (d) 5:23
  29. 29.A clock shows 2:05. What time will it show 54 minutes later? (a) 3:09 (b) 3:59 (c) 2:49 (d) 2:59
  30. 30.How many degrees does the hour hand of a clock turn in 88 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 7 minutes? =
  32. 32.A clock shows 12:21. What time will it show 52 minutes later? (a) 1:23 (b) 1:13 (c) 1:03 (d) 2:13
  33. 33.How many degrees does the minute hand of a clock turn in 36 minutes? =
  34. 34.A clock shows 2:46. What time will it show 139 minutes later? (a) 5:05 (b) 4:55 (c) 5:15 (d) 6:05
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 107 minutes? =
  40. 40.A clock shows 8:12. What time will it show 61 minutes later? (a) 9:23 (b) 9:13 (c) 9:03 (d) 10:13

Answer key

  1. 176.5
  2. 51.5
  3. 8:14
  4. 7:39
  5. 12:36
  6. 252
  7. 1:11
  8. 29.5
  9. 6:09
  10. 47
  11. 60
  12. 29
  13. 30
  14. 12:22
  15. 12:00
  16. 5:06
  17. 31
  18. 57
  19. 16
  20. 58.5
  21. 10:53
  22. 222
  23. 9:50
  24. 240
  25. 9:11
  26. 89
  27. 180
  28. 5:13
  29. 2:59
  30. 44
  31. 42
  32. 1:13
  33. 216
  34. 5:05
  35. 171.5
  36. 76
  37. 110.5
  38. 112.5
  39. 53.5
  40. 9:13

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