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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 948 · 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.A clock shows 10:38. What time will it show 19 minutes later? (a) 10:57 (b) 10:47 (c) 11:57 (d) 11:07
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  4. 4.A clock shows 8:11. What time will it show 62 minutes later? (a) 9:03 (b) 9:23 (c) 10:13 (d) 9:13
  5. 5.A clock shows 8:41. What time will it show 10 minutes later? (a) 9:51 (b) 9:01 (c) 8:41 (d) 8:51
  6. 6.How many degrees does the hour hand of a clock turn in 14 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 93 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 10 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 155 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 37 minutes? =
  11. 11.A clock shows 1:13. What time will it show 165 minutes later? (a) 4:58 (b) 4:08 (c) 3:48 (d) 3:58
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
  13. 13.A clock shows 1:17. What time will it show 63 minutes later? (a) 3:20 (b) 2:30 (c) 2:20 (d) 2:10
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 34 minutes? =
  18. 18.A clock shows 11:08. What time will it show 60 minutes later? (a) 1:08 (b) 11:58 (c) 12:18 (d) 12:08
  19. 19.A clock shows 2:31. What time will it show 145 minutes later? (a) 5:56 (b) 4:46 (c) 4:56 (d) 5:06
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:45? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  24. 24.A clock shows 12:58. What time will it show 38 minutes later? (a) 2:36 (b) 1:26 (c) 1:46 (d) 1:36
  25. 25.A clock shows 3:09. What time will it show 30 minutes later? (a) 4:39 (b) 3:39 (c) 3:49 (d) 3:29
  26. 26.A clock shows 10:00. What time will it show 33 minutes later? (a) 10:33 (b) 10:43 (c) 10:23 (d) 11:33
  27. 27.A clock shows 3:18. What time will it show 37 minutes later? (a) 3:55 (b) 3:45 (c) 4:55 (d) 4:05
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
  29. 29.A clock shows 2:40. What time will it show 71 minutes later? (a) 3:51 (b) 3:41 (c) 4:01 (d) 4:51
  30. 30.How many degrees does the minute hand of a clock turn in 42 minutes? =
  31. 31.A clock shows 5:12. What time will it show 157 minutes later? (a) 7:49 (b) 7:59 (c) 8:49 (d) 7:39
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 70 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 57 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 36 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 48 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:53? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 2 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:42? (in degrees) =

Answer key

  1. 10:57
  2. 116
  3. 31
  4. 9:13
  5. 8:51
  6. 7
  7. 46.5
  8. 5
  9. 77.5
  10. 222
  11. 3:58
  12. 50
  13. 2:20
  14. 47.5
  15. 33.5
  16. 110.5
  17. 204
  18. 12:08
  19. 4:56
  20. 172.5
  21. 82
  22. 165.5
  23. 20.5
  24. 1:36
  25. 3:39
  26. 10:33
  27. 3:55
  28. 150
  29. 3:51
  30. 252
  31. 7:49
  32. 35.5
  33. 35
  34. 118.5
  35. 342
  36. 216
  37. 288
  38. 68.5
  39. 12
  40. 39

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