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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 457 · 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 5:48. What time will it show 85 minutes later? (a) 7:23 (b) 7:13 (c) 8:13 (d) 7:03
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
  4. 4.A clock shows 2:07. What time will it show 16 minutes later? (a) 2:33 (b) 2:23 (c) 2:13 (d) 3:23
  5. 5.A clock shows 4:50. What time will it show 107 minutes later? (a) 7:37 (b) 6:47 (c) 6:37 (d) 6:27
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 88 minutes? =
  8. 8.A clock shows 2:24. What time will it show 57 minutes later? (a) 3:21 (b) 3:31 (c) 3:11 (d) 4:21
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  10. 10.A clock shows 8:53. What time will it show 145 minutes later? (a) 12:18 (b) 11:18 (c) 11:08 (d) 11:28
  11. 11.How many degrees does the hour hand of a clock turn in 160 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 155 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  15. 15.A clock shows 5:36. What time will it show 48 minutes later? (a) 6:34 (b) 6:14 (c) 7:24 (d) 6:24
  16. 16.A clock shows 7:08. What time will it show 12 minutes later? (a) 7:10 (b) 7:30 (c) 7:20 (d) 8:20
  17. 17.A clock shows 5:54. What time will it show 42 minutes later? (a) 6:26 (b) 6:36 (c) 6:46 (d) 7:36
  18. 18.A clock shows 1:07. What time will it show 110 minutes later? (a) 2:57 (b) 2:47 (c) 3:07 (d) 3:57
  19. 19.A clock shows 9:57. What time will it show 168 minutes later? (a) 12:45 (b) 12:35 (c) 1:45 (d) 12:55
  20. 20.A clock shows 3:17. What time will it show 54 minutes later? (a) 4:21 (b) 4:01 (c) 5:11 (d) 4:11
  21. 21.A clock shows 9:36. What time will it show 114 minutes later? (a) 12:30 (b) 11:20 (c) 11:30 (d) 11:40
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  24. 24.A clock shows 1:27. What time will it show 19 minutes later? (a) 1:36 (b) 2:46 (c) 1:56 (d) 1:46
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  26. 26.A clock shows 9:54. What time will it show 124 minutes later? (a) 11:48 (b) 12:58 (c) 11:58 (d) 12:08
  27. 27.A clock shows 11:01. What time will it show 74 minutes later? (a) 12:05 (b) 12:25 (c) 1:15 (d) 12:15
  28. 28.A clock shows 6:50. What time will it show 140 minutes later? (a) 9:20 (b) 9:00 (c) 9:10 (d) 10:10
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  30. 30.A clock shows 2:10. What time will it show 98 minutes later? (a) 3:58 (b) 4:48 (c) 3:48 (d) 3:38
  31. 31.A clock shows 4:12. What time will it show 103 minutes later? (a) 6:05 (b) 5:55 (c) 6:55 (d) 5:45
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
  33. 33.A clock shows 9:17. What time will it show 48 minutes later? (a) 9:55 (b) 10:05 (c) 11:05 (d) 10:15
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  35. 35.A clock shows 4:45. What time will it show 55 minutes later? (a) 5:50 (b) 5:30 (c) 5:40 (d) 6:40
  36. 36.How many degrees does the minute hand of a clock turn in 2 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 25 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 72 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =

Answer key

  1. 7:13
  2. 54.5
  3. 93.5
  4. 2:23
  5. 6:37
  6. 124.5
  7. 44
  8. 3:21
  9. 106
  10. 11:18
  11. 80
  12. 77.5
  13. 111
  14. 18.5
  15. 6:24
  16. 7:20
  17. 6:36
  18. 2:57
  19. 12:45
  20. 4:11
  21. 11:30
  22. 52
  23. 51.5
  24. 1:46
  25. 174.5
  26. 11:58
  27. 12:15
  28. 9:10
  29. 96.5
  30. 3:48
  31. 5:55
  32. 152.5
  33. 10:05
  34. 115
  35. 5:40
  36. 12
  37. 57
  38. 150
  39. 36
  40. 171

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