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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 40 · 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 hour hand of a clock turn in 95 minutes? =
  2. 2.A clock shows 1:23. What time will it show 56 minutes later? (a) 2:09 (b) 2:29 (c) 3:19 (d) 2:19
  3. 3.A clock shows 1:11. What time will it show 120 minutes later? (a) 4:11 (b) 3:01 (c) 3:11 (d) 3:21
  4. 4.A clock shows 2:09. What time will it show 135 minutes later? (a) 4:24 (b) 4:14 (c) 4:34 (d) 5:24
  5. 5.How many degrees does the minute hand of a clock turn in 42 minutes? =
  6. 6.A clock shows 10:08. What time will it show 50 minutes later? (a) 11:08 (b) 10:58 (c) 10:48 (d) 11:58
  7. 7.How many degrees does the minute hand of a clock turn in 58 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
  9. 9.A clock shows 8:36. What time will it show 119 minutes later? (a) 10:35 (b) 11:35 (c) 10:25 (d) 10:45
  10. 10.A clock shows 1:22. What time will it show 154 minutes later? (a) 4:06 (b) 3:46 (c) 3:56 (d) 4:56
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
  12. 12.A clock shows 10:53. What time will it show 152 minutes later? (a) 1:15 (b) 2:25 (c) 1:35 (d) 1:25
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 59 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
  17. 17.A clock shows 3:07. What time will it show 169 minutes later? (a) 6:06 (b) 5:56 (c) 6:56 (d) 5:46
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:28? (in degrees) =
  20. 20.A clock shows 7:15. What time will it show 106 minutes later? (a) 9:11 (b) 9:01 (c) 10:01 (d) 8:51
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 5 minutes? =
  25. 25.A clock shows 12:54. What time will it show 94 minutes later? (a) 2:38 (b) 2:28 (c) 3:28 (d) 2:18
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 23 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 50 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 21 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 26 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  34. 34.A clock shows 2:36. What time will it show 41 minutes later? (a) 4:17 (b) 3:27 (c) 3:17 (d) 3:07
  35. 35.How many degrees does the hour hand of a clock turn in 79 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 32 minutes? =
  37. 37.A clock shows 4:43. What time will it show 54 minutes later? (a) 5:27 (b) 6:37 (c) 5:47 (d) 5:37
  38. 38.A clock shows 8:13. What time will it show 67 minutes later? (a) 9:10 (b) 9:30 (c) 9:20 (d) 10:20
  39. 39.How many degrees does the hour hand of a clock turn in 19 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =

Answer key

  1. 47.5
  2. 2:19
  3. 3:11
  4. 4:24
  5. 252
  6. 10:58
  7. 348
  8. 147.5
  9. 10:35
  10. 3:56
  11. 150
  12. 1:25
  13. 122.5
  14. 91.5
  15. 354
  16. 164
  17. 5:56
  18. 35
  19. 56
  20. 9:01
  21. 20
  22. 154.5
  23. 67.5
  24. 30
  25. 2:28
  26. 156
  27. 138
  28. 25
  29. 126
  30. 156
  31. 161.5
  32. 168.5
  33. 118
  34. 3:17
  35. 39.5
  36. 192
  37. 5:37
  38. 9:20
  39. 9.5
  40. 122.5

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