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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 759 · 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 6:19? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 27 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:40? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 35 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 52 minutes? =
  8. 8.A clock shows 10:28. What time will it show 66 minutes later? (a) 11:24 (b) 11:34 (c) 12:34 (d) 11:44
  9. 9.How many degrees does the hour hand of a clock turn in 16 minutes? =
  10. 10.A clock shows 3:09. What time will it show 71 minutes later? (a) 4:30 (b) 4:10 (c) 5:20 (d) 4:20
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:11? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 43 minutes? =
  15. 15.A clock shows 6:44. What time will it show 97 minutes later? (a) 8:21 (b) 9:21 (c) 8:31 (d) 8:11
  16. 16.A clock shows 9:15. What time will it show 61 minutes later? (a) 10:26 (b) 10:06 (c) 11:16 (d) 10:16
  17. 17.How many degrees does the minute hand of a clock turn in 13 minutes? =
  18. 18.A clock shows 4:51. What time will it show 131 minutes later? (a) 6:52 (b) 7:12 (c) 8:02 (d) 7:02
  19. 19.How many degrees does the minute hand of a clock turn in 53 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
  21. 21.A clock shows 3:52. What time will it show 61 minutes later? (a) 5:03 (b) 5:53 (c) 4:53 (d) 4:43
  22. 22.A clock shows 5:52. What time will it show 79 minutes later? (a) 7:01 (b) 8:11 (c) 7:11 (d) 7:21
  23. 23.A clock shows 3:21. What time will it show 126 minutes later? (a) 6:27 (b) 5:37 (c) 5:17 (d) 5:27
  24. 24.A clock shows 9:31. What time will it show 128 minutes later? (a) 11:49 (b) 11:29 (c) 12:39 (d) 11:39
  25. 25.A clock shows 12:29. What time will it show 130 minutes later? (a) 2:49 (b) 2:39 (c) 3:39 (d) 2:29
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 32 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 16 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:23? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 7 minutes? =
  31. 31.A clock shows 12:52. What time will it show 20 minutes later? (a) 1:02 (b) 1:22 (c) 1:12 (d) 2:12
  32. 32.A clock shows 3:42. What time will it show 49 minutes later? (a) 4:21 (b) 5:31 (c) 4:41 (d) 4:31
  33. 33.How many degrees does the minute hand of a clock turn in 36 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 164 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 82 minutes? =
  37. 37.A clock shows 6:03. What time will it show 33 minutes later? (a) 6:46 (b) 6:36 (c) 6:26 (d) 7:36
  38. 38.How many degrees does the minute hand of a clock turn in 48 minutes? =
  39. 39.A clock shows 12:42. What time will it show 90 minutes later? (a) 2:22 (b) 2:02 (c) 3:12 (d) 2:12
  40. 40.How many degrees does the hour hand of a clock turn in 40 minutes? =

Answer key

  1. 75.5
  2. 162
  3. 101
  4. 20
  5. 210
  6. 72.5
  7. 312
  8. 11:34
  9. 8
  10. 4:20
  11. 36
  12. 98.5
  13. 150.5
  14. 258
  15. 8:21
  16. 10:16
  17. 78
  18. 7:02
  19. 318
  20. 45
  21. 4:53
  22. 7:11
  23. 5:27
  24. 11:39
  25. 2:39
  26. 71
  27. 192
  28. 96
  29. 113.5
  30. 42
  31. 1:12
  32. 4:31
  33. 216
  34. 82
  35. 180
  36. 41
  37. 6:36
  38. 288
  39. 2:12
  40. 20

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