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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 281 · 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 144 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 21 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  7. 7.A clock shows 10:11. What time will it show 90 minutes later? (a) 11:51 (b) 12:41 (c) 11:31 (d) 11:41
  8. 8.A clock shows 12:55. What time will it show 149 minutes later? (a) 3:14 (b) 3:24 (c) 3:34 (d) 4:24
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  10. 10.A clock shows 11:44. What time will it show 37 minutes later? (a) 12:11 (b) 12:31 (c) 1:21 (d) 12:21
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:56? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  17. 17.A clock shows 2:32. What time will it show 64 minutes later? (a) 3:36 (b) 4:36 (c) 3:26 (d) 3:46
  18. 18.How many degrees does the minute hand of a clock turn in 13 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 20 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 87 minutes? =
  22. 22.A clock shows 6:34. What time will it show 110 minutes later? (a) 8:14 (b) 8:34 (c) 8:24 (d) 9:24
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  25. 25.A clock shows 1:16. What time will it show 89 minutes later? (a) 2:45 (b) 2:55 (c) 2:35 (d) 3:45
  26. 26.A clock shows 10:53. What time will it show 153 minutes later? (a) 1:26 (b) 1:16 (c) 2:26 (d) 1:36
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  28. 28.A clock shows 1:38. What time will it show 29 minutes later? (a) 2:17 (b) 2:07 (c) 3:07 (d) 1:57
  29. 29.A clock shows 2:12. What time will it show 14 minutes later? (a) 3:26 (b) 2:36 (c) 2:26 (d) 2:16
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  31. 31.A clock shows 3:36. What time will it show 143 minutes later? (a) 5:49 (b) 5:59 (c) 6:09 (d) 6:59
  32. 32.A clock shows 2:40. What time will it show 135 minutes later? (a) 4:45 (b) 5:55 (c) 5:05 (d) 4:55
  33. 33.A clock shows 8:29. What time will it show 22 minutes later? (a) 8:41 (b) 9:51 (c) 9:01 (d) 8:51
  34. 34.A clock shows 12:24. What time will it show 23 minutes later? (a) 12:47 (b) 12:57 (c) 1:47 (d) 12:37
  35. 35.How many degrees does the minute hand of a clock turn in 33 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
  37. 37.A clock shows 2:06. What time will it show 168 minutes later? (a) 5:04 (b) 4:44 (c) 5:54 (d) 4:54
  38. 38.How many degrees does the minute hand of a clock turn in 18 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
  40. 40.A clock shows 1:16. What time will it show 138 minutes later? (a) 3:24 (b) 4:34 (c) 3:44 (d) 3:34

Answer key

  1. 72
  2. 126
  3. 107.5
  4. 160
  5. 162.5
  6. 171.5
  7. 11:41
  8. 3:24
  9. 131.5
  10. 12:21
  11. 51.5
  12. 158
  13. 175.5
  14. 172.5
  15. 171
  16. 169.5
  17. 3:36
  18. 78
  19. 81
  20. 120
  21. 43.5
  22. 8:24
  23. 118.5
  24. 166.5
  25. 2:45
  26. 1:26
  27. 30.5
  28. 2:07
  29. 2:26
  30. 26.5
  31. 5:59
  32. 4:55
  33. 8:51
  34. 12:47
  35. 198
  36. 98.5
  37. 4:54
  38. 108
  39. 66.5
  40. 3:34

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