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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 684 · 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.How many degrees does the minute hand of a clock turn in 51 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 18 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:34? (in degrees) =
  4. 4.A clock shows 10:29. What time will it show 141 minutes later? (a) 1:50 (b) 1:00 (c) 12:40 (d) 12:50
  5. 5.How many degrees does the hour hand of a clock turn in 151 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 30 minutes? =
  8. 8.A clock shows 6:40. What time will it show 26 minutes later? (a) 6:56 (b) 8:06 (c) 7:06 (d) 7:16
  9. 9.How many degrees does the minute hand of a clock turn in 52 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  11. 11.A clock shows 8:50. What time will it show 38 minutes later? (a) 9:38 (b) 9:28 (c) 10:28 (d) 9:18
  12. 12.A clock shows 1:08. What time will it show 91 minutes later? (a) 3:39 (b) 2:49 (c) 2:29 (d) 2:39
  13. 13.A clock shows 4:24. What time will it show 68 minutes later? (a) 5:32 (b) 5:42 (c) 6:32 (d) 5:22
  14. 14.A clock shows 11:43. What time will it show 66 minutes later? (a) 1:49 (b) 12:39 (c) 12:49 (d) 12:59
  15. 15.How many degrees does the hour hand of a clock turn in 100 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  17. 17.A clock shows 12:44. What time will it show 102 minutes later? (a) 2:36 (b) 2:16 (c) 3:26 (d) 2:26
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 16 minutes? =
  21. 21.A clock shows 8:56. What time will it show 68 minutes later? (a) 11:04 (b) 10:04 (c) 10:14 (d) 9:54
  22. 22.A clock shows 11:11. What time will it show 47 minutes later? (a) 12:08 (b) 11:48 (c) 11:58 (d) 12:58
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  25. 25.A clock shows 12:08. What time will it show 11 minutes later? (a) 1:19 (b) 12:09 (c) 12:19 (d) 12:29
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 110 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  29. 29.A clock shows 7:15. What time will it show 166 minutes later? (a) 9:51 (b) 10:11 (c) 11:01 (d) 10:01
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  31. 31.A clock shows 7:15. What time will it show 15 minutes later? (a) 7:30 (b) 7:40 (c) 7:20 (d) 8:30
  32. 32.A clock shows 3:19. What time will it show 124 minutes later? (a) 5:13 (b) 5:23 (c) 5:33 (d) 6:23
  33. 33.A clock shows 9:30. What time will it show 44 minutes later? (a) 10:04 (b) 10:24 (c) 10:14 (d) 11:14
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  35. 35.A clock shows 9:42. What time will it show 133 minutes later? (a) 11:55 (b) 12:05 (c) 12:55 (d) 11:45
  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 9:08? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 81 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 173 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 40 minutes? =

Answer key

  1. 306
  2. 9
  3. 7
  4. 12:50
  5. 75.5
  6. 102.5
  7. 15
  8. 7:06
  9. 312
  10. 144.5
  11. 9:28
  12. 2:39
  13. 5:32
  14. 12:49
  15. 50
  16. 92
  17. 2:26
  18. 40.5
  19. 80.5
  20. 96
  21. 10:04
  22. 11:58
  23. 115
  24. 24
  25. 12:19
  26. 161.5
  27. 55
  28. 18
  29. 10:01
  30. 106.5
  31. 7:30
  32. 5:23
  33. 10:14
  34. 23
  35. 11:55
  36. 48.5
  37. 134
  38. 40.5
  39. 86.5
  40. 240

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