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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 507 · 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 12:36. What time will it show 42 minutes later? (a) 2:18 (b) 1:28 (c) 1:18 (d) 1:08
  2. 2.A clock shows 3:03. What time will it show 97 minutes later? (a) 4:50 (b) 4:30 (c) 5:40 (d) 4:40
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  4. 4.A clock shows 6:14. What time will it show 105 minutes later? (a) 8:09 (b) 8:59 (c) 7:49 (d) 7:59
  5. 5.How many degrees does the minute hand of a clock turn in 9 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
  7. 7.A clock shows 7:35. What time will it show 20 minutes later? (a) 8:05 (b) 8:55 (c) 7:55 (d) 7:45
  8. 8.A clock shows 9:53. What time will it show 157 minutes later? (a) 12:40 (b) 1:30 (c) 12:30 (d) 12:20
  9. 9.A clock shows 1:36. What time will it show 36 minutes later? (a) 2:02 (b) 2:22 (c) 2:12 (d) 3:12
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
  14. 14.A clock shows 1:06. What time will it show 134 minutes later? (a) 3:30 (b) 3:10 (c) 4:20 (d) 3:20
  15. 15.How many degrees does the hour hand of a clock turn in 66 minutes? =
  16. 16.A clock shows 10:51. What time will it show 35 minutes later? (a) 11:26 (b) 11:36 (c) 12:26 (d) 11:16
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
  18. 18.A clock shows 8:46. What time will it show 112 minutes later? (a) 11:38 (b) 10:28 (c) 10:38 (d) 10:48
  19. 19.A clock shows 1:40. What time will it show 100 minutes later? (a) 4:20 (b) 3:10 (c) 3:20 (d) 3:30
  20. 20.How many degrees does the minute hand of a clock turn in 50 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 55 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 35 minutes? =
  24. 24.A clock shows 11:25. What time will it show 89 minutes later? (a) 1:04 (b) 12:44 (c) 12:54 (d) 1:54
  25. 25.How many degrees does the hour hand of a clock turn in 117 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 56 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
  31. 31.A clock shows 7:14. What time will it show 159 minutes later? (a) 9:53 (b) 10:03 (c) 10:53 (d) 9:43
  32. 32.A clock shows 7:12. What time will it show 107 minutes later? (a) 9:09 (b) 8:59 (c) 8:49 (d) 9:59
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  34. 34.A clock shows 6:31. What time will it show 46 minutes later? (a) 7:07 (b) 7:27 (c) 7:17 (d) 8:17
  35. 35.How many degrees does the minute hand of a clock turn in 32 minutes? =
  36. 36.A clock shows 2:36. What time will it show 148 minutes later? (a) 4:54 (b) 5:14 (c) 6:04 (d) 5:04
  37. 37.A clock shows 1:59. What time will it show 61 minutes later? (a) 3:10 (b) 3:00 (c) 2:50 (d) 4:00
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 5 minutes? =

Answer key

  1. 1:18
  2. 4:40
  3. 108
  4. 7:59
  5. 54
  6. 1.5
  7. 7:55
  8. 12:30
  9. 2:12
  10. 25
  11. 58.5
  12. 162.5
  13. 27.5
  14. 3:20
  15. 33
  16. 11:26
  17. 4
  18. 10:38
  19. 3:20
  20. 300
  21. 330
  22. 48
  23. 210
  24. 12:54
  25. 58.5
  26. 28
  27. 23
  28. 77.5
  29. 161.5
  30. 164
  31. 9:53
  32. 8:59
  33. 48.5
  34. 7:17
  35. 192
  36. 5:04
  37. 3:00
  38. 105
  39. 139.5
  40. 30

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