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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 454 · 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.A clock shows 4:57. What time will it show 80 minutes later? (a) 6:27 (b) 6:17 (c) 6:07 (d) 7:17
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  3. 3.A clock shows 5:25. What time will it show 30 minutes later? (a) 5:55 (b) 5:45 (c) 6:55 (d) 6:05
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 56 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
  7. 7.A clock shows 7:39. What time will it show 15 minutes later? (a) 8:54 (b) 8:04 (c) 7:44 (d) 7:54
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 77 minutes? =
  10. 10.A clock shows 10:20. What time will it show 69 minutes later? (a) 11:39 (b) 11:29 (c) 11:19 (d) 12:29
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 133 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 50 minutes? =
  14. 14.A clock shows 2:48. What time will it show 134 minutes later? (a) 5:12 (b) 5:02 (c) 6:02 (d) 4:52
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 42 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 101 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 52 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 23 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 34 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 29 minutes? =
  25. 25.A clock shows 11:19. What time will it show 81 minutes later? (a) 1:40 (b) 12:30 (c) 12:50 (d) 12:40
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 20 minutes? =
  28. 28.A clock shows 1:16. What time will it show 43 minutes later? (a) 2:09 (b) 1:49 (c) 1:59 (d) 2:59
  29. 29.A clock shows 1:13. What time will it show 44 minutes later? (a) 1:47 (b) 2:57 (c) 2:07 (d) 1:57
  30. 30.How many degrees does the minute hand of a clock turn in 26 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 55 minutes? =
  32. 32.A clock shows 3:08. What time will it show 126 minutes later? (a) 5:04 (b) 6:14 (c) 5:14 (d) 5:24
  33. 33.How many degrees does the minute hand of a clock turn in 35 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 41 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 67 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 131 minutes? =
  37. 37.A clock shows 3:29. What time will it show 159 minutes later? (a) 5:58 (b) 6:18 (c) 6:08 (d) 7:08
  38. 38.A clock shows 1:48. What time will it show 71 minutes later? (a) 3:09 (b) 2:59 (c) 3:59 (d) 2:49
  39. 39.A clock shows 11:37. What time will it show 123 minutes later? (a) 1:30 (b) 2:40 (c) 1:50 (d) 1:40
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =

Answer key

  1. 6:17
  2. 123.5
  3. 5:55
  4. 40.5
  5. 336
  6. 13
  7. 7:54
  8. 134
  9. 38.5
  10. 11:29
  11. 128
  12. 66.5
  13. 300
  14. 5:02
  15. 13
  16. 178
  17. 21
  18. 50.5
  19. 26
  20. 123
  21. 54.5
  22. 138
  23. 17
  24. 174
  25. 12:40
  26. 176.5
  27. 120
  28. 1:59
  29. 1:57
  30. 156
  31. 330
  32. 5:14
  33. 210
  34. 246
  35. 33.5
  36. 65.5
  37. 6:08
  38. 2:59
  39. 1:40
  40. 4

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