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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 716 · 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 4:15? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  4. 4.A clock shows 5:35. What time will it show 64 minutes later? (a) 6:49 (b) 6:29 (c) 6:39 (d) 7:39
  5. 5.How many degrees does the hour hand of a clock turn in 68 minutes? =
  6. 6.A clock shows 8:18. What time will it show 127 minutes later? (a) 11:25 (b) 10:35 (c) 10:15 (d) 10:25
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 43 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 54 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
  13. 13.A clock shows 3:29. What time will it show 164 minutes later? (a) 6:23 (b) 6:03 (c) 7:13 (d) 6:13
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 49 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
  17. 17.A clock shows 6:12. What time will it show 48 minutes later? (a) 6:50 (b) 7:00 (c) 7:10 (d) 8:00
  18. 18.A clock shows 4:50. What time will it show 85 minutes later? (a) 6:25 (b) 7:15 (c) 6:15 (d) 6:05
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
  20. 20.A clock shows 5:35. What time will it show 31 minutes later? (a) 5:56 (b) 7:06 (c) 6:06 (d) 6:16
  21. 21.A clock shows 3:57. What time will it show 32 minutes later? (a) 4:39 (b) 4:19 (c) 4:29 (d) 5:29
  22. 22.How many degrees does the hour hand of a clock turn in 141 minutes? =
  23. 23.A clock shows 1:09. What time will it show 102 minutes later? (a) 2:51 (b) 2:41 (c) 3:51 (d) 3:01
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 59 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:44? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 50 minutes? =
  29. 29.A clock shows 5:00. What time will it show 43 minutes later? (a) 5:53 (b) 5:33 (c) 6:43 (d) 5:43
  30. 30.How many degrees does the hour hand of a clock turn in 10 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 73 minutes? =
  32. 32.A clock shows 4:19. What time will it show 68 minutes later? (a) 6:27 (b) 5:37 (c) 5:17 (d) 5:27
  33. 33.A clock shows 6:52. What time will it show 34 minutes later? (a) 8:26 (b) 7:26 (c) 7:16 (d) 7:36
  34. 34.How many degrees does the minute hand of a clock turn in 29 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 98 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 132 minutes? =
  37. 37.A clock shows 10:00. What time will it show 17 minutes later? (a) 10:17 (b) 11:17 (c) 10:27 (d) 10:07
  38. 38.A clock shows 3:21. What time will it show 55 minutes later? (a) 4:16 (b) 4:26 (c) 4:06 (d) 5:16
  39. 39.A clock shows 3:03. What time will it show 67 minutes later? (a) 5:10 (b) 4:10 (c) 4:00 (d) 4:20
  40. 40.How many degrees does the minute hand of a clock turn in 19 minutes? =

Answer key

  1. 37.5
  2. 60.5
  3. 65
  4. 6:39
  5. 34
  6. 10:25
  7. 25.5
  8. 258
  9. 0.5
  10. 87
  11. 27
  12. 49
  13. 6:13
  14. 36
  15. 294
  16. 106.5
  17. 7:00
  18. 6:15
  19. 178.5
  20. 6:06
  21. 4:29
  22. 70.5
  23. 2:51
  24. 170
  25. 165
  26. 29.5
  27. 92
  28. 300
  29. 5:43
  30. 5
  31. 36.5
  32. 5:27
  33. 7:26
  34. 174
  35. 49
  36. 66
  37. 10:17
  38. 4:16
  39. 4:10
  40. 114

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