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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 536 · 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 21 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
  6. 6.A clock shows 8:44. What time will it show 148 minutes later? (a) 11:12 (b) 12:12 (c) 11:02 (d) 11:22
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  8. 8.A clock shows 8:08. What time will it show 35 minutes later? (a) 8:33 (b) 9:43 (c) 8:53 (d) 8:43
  9. 9.A clock shows 1:40. What time will it show 33 minutes later? (a) 2:03 (b) 2:23 (c) 3:13 (d) 2:13
  10. 10.How many degrees does the minute hand of a clock turn in 24 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 43 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 95 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 66 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 35 minutes? =
  16. 16.A clock shows 7:58. What time will it show 38 minutes later? (a) 8:46 (b) 8:26 (c) 8:36 (d) 9:36
  17. 17.How many degrees does the hour hand of a clock turn in 21 minutes? =
  18. 18.A clock shows 2:28. What time will it show 148 minutes later? (a) 4:56 (b) 5:56 (c) 5:06 (d) 4:46
  19. 19.How many degrees does the minute hand of a clock turn in 36 minutes? =
  20. 20.A clock shows 3:40. What time will it show 27 minutes later? (a) 4:17 (b) 3:57 (c) 5:07 (d) 4:07
  21. 21.A clock shows 8:53. What time will it show 157 minutes later? (a) 11:40 (b) 11:30 (c) 12:30 (d) 11:20
  22. 22.A clock shows 7:57. What time will it show 141 minutes later? (a) 10:28 (b) 10:08 (c) 11:18 (d) 10:18
  23. 23.How many degrees does the hour hand of a clock turn in 168 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
  25. 25.A clock shows 7:43. What time will it show 98 minutes later? (a) 9:11 (b) 9:31 (c) 9:21 (d) 10:21
  26. 26.How many degrees does the minute hand of a clock turn in 22 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 17 minutes? =
  28. 28.A clock shows 1:55. What time will it show 58 minutes later? (a) 2:43 (b) 3:03 (c) 3:53 (d) 2:53
  29. 29.How many degrees does the hour hand of a clock turn in 52 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 107 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 59 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 40 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 12 minutes? =

Answer key

  1. 126
  2. 176
  3. 12
  4. 115
  5. 57.5
  6. 11:12
  7. 68
  8. 8:43
  9. 2:13
  10. 144
  11. 258
  12. 47.5
  13. 118.5
  14. 33
  15. 210
  16. 8:36
  17. 10.5
  18. 4:56
  19. 216
  20. 4:07
  21. 11:30
  22. 10:18
  23. 84
  24. 52
  25. 9:21
  26. 132
  27. 102
  28. 2:53
  29. 26
  30. 53.5
  31. 354
  32. 106
  33. 240
  34. 121
  35. 87.5
  36. 89.5
  37. 146.5
  38. 4
  39. 134
  40. 6

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