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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 339 · 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 4:22? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 86 minutes? =
  3. 3.A clock shows 10:24. What time will it show 49 minutes later? (a) 11:13 (b) 11:03 (c) 11:23 (d) 12:13
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 5 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  9. 9.A clock shows 12:16. What time will it show 136 minutes later? (a) 3:32 (b) 2:22 (c) 2:42 (d) 2:32
  10. 10.A clock shows 7:39. What time will it show 40 minutes later? (a) 9:19 (b) 8:29 (c) 8:09 (d) 8:19
  11. 11.How many degrees does the hour hand of a clock turn in 65 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 12 minutes? =
  13. 13.A clock shows 11:08. What time will it show 65 minutes later? (a) 12:13 (b) 12:23 (c) 12:03 (d) 1:13
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 103 minutes? =
  16. 16.A clock shows 2:34. What time will it show 13 minutes later? (a) 2:47 (b) 3:47 (c) 2:57 (d) 2:37
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:21? (in degrees) =
  18. 18.A clock shows 6:25. What time will it show 88 minutes later? (a) 8:03 (b) 8:53 (c) 7:53 (d) 7:43
  19. 19.A clock shows 2:04. What time will it show 100 minutes later? (a) 3:54 (b) 3:34 (c) 4:44 (d) 3:44
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
  21. 21.A clock shows 3:15. What time will it show 17 minutes later? (a) 4:32 (b) 3:42 (c) 3:22 (d) 3:32
  22. 22.A clock shows 11:29. What time will it show 34 minutes later? (a) 1:03 (b) 11:53 (c) 12:03 (d) 12:13
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  24. 24.A clock shows 6:08. What time will it show 93 minutes later? (a) 8:41 (b) 7:41 (c) 7:51 (d) 7:31
  25. 25.How many degrees does the minute hand of a clock turn in 51 minutes? =
  26. 26.A clock shows 8:28. What time will it show 157 minutes later? (a) 11:15 (b) 10:55 (c) 11:05 (d) 12:05
  27. 27.A clock shows 11:44. What time will it show 136 minutes later? (a) 2:10 (b) 3:00 (c) 1:50 (d) 2:00
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 168 minutes? =
  30. 30.A clock shows 5:42. What time will it show 120 minutes later? (a) 8:42 (b) 7:42 (c) 7:32 (d) 7:52
  31. 31.A clock shows 5:03. What time will it show 29 minutes later? (a) 6:32 (b) 5:22 (c) 5:42 (d) 5:32
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 92 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 24 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 97 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 64 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 57 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =

Answer key

  1. 1
  2. 43
  3. 11:13
  4. 175.5
  5. 30
  6. 16
  7. 147
  8. 160
  9. 2:32
  10. 8:19
  11. 32.5
  12. 72
  13. 12:13
  14. 51.5
  15. 51.5
  16. 2:47
  17. 145.5
  18. 7:53
  19. 3:44
  20. 4
  21. 3:32
  22. 12:03
  23. 134.5
  24. 7:41
  25. 306
  26. 11:05
  27. 2:00
  28. 104
  29. 84
  30. 7:42
  31. 5:32
  32. 20
  33. 46
  34. 137
  35. 144
  36. 48.5
  37. 23.5
  38. 32
  39. 342
  40. 9.5

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