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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 509 · 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 50 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  3. 3.A clock shows 6:03. What time will it show 149 minutes later? (a) 8:32 (b) 8:42 (c) 8:22 (d) 9:32
  4. 4.A clock shows 12:03. What time will it show 145 minutes later? (a) 3:28 (b) 2:38 (c) 2:28 (d) 2:18
  5. 5.A clock shows 12:26. What time will it show 81 minutes later? (a) 1:47 (b) 2:47 (c) 1:37 (d) 1:57
  6. 6.A clock shows 10:04. What time will it show 47 minutes later? (a) 11:01 (b) 10:41 (c) 10:51 (d) 11:51
  7. 7.How many degrees does the hour hand of a clock turn in 82 minutes? =
  8. 8.A clock shows 5:07. What time will it show 20 minutes later? (a) 5:37 (b) 5:17 (c) 6:27 (d) 5:27
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:34? (in degrees) =
  10. 10.A clock shows 10:08. What time will it show 122 minutes later? (a) 12:10 (b) 12:00 (c) 1:10 (d) 12:20
  11. 11.A clock shows 12:40. What time will it show 126 minutes later? (a) 2:56 (b) 2:36 (c) 3:46 (d) 2:46
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:34? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 8 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 47 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  16. 16.A clock shows 3:32. What time will it show 73 minutes later? (a) 4:45 (b) 4:35 (c) 5:45 (d) 4:55
  17. 17.How many degrees does the minute hand of a clock turn in 45 minutes? =
  18. 18.A clock shows 12:48. What time will it show 17 minutes later? (a) 1:05 (b) 12:55 (c) 1:15 (d) 2:05
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:56? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  21. 21.A clock shows 6:37. What time will it show 163 minutes later? (a) 10:20 (b) 9:30 (c) 9:20 (d) 9:10
  22. 22.How many degrees does the hour hand of a clock turn in 21 minutes? =
  23. 23.A clock shows 8:34. What time will it show 149 minutes later? (a) 11:13 (b) 11:03 (c) 12:03 (d) 10:53
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 117 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 53 minutes? =
  28. 28.A clock shows 5:33. What time will it show 93 minutes later? (a) 8:06 (b) 7:16 (c) 6:56 (d) 7:06
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:58? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
  32. 32.A clock shows 9:46. What time will it show 138 minutes later? (a) 12:14 (b) 11:54 (c) 1:04 (d) 12:04
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 58 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
  38. 38.A clock shows 12:21. What time will it show 161 minutes later? (a) 4:02 (b) 3:12 (c) 3:02 (d) 2:52
  39. 39.A clock shows 7:31. What time will it show 89 minutes later? (a) 8:50 (b) 9:00 (c) 10:00 (d) 9:10
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =

Answer key

  1. 300
  2. 147.5
  3. 8:32
  4. 2:28
  5. 1:47
  6. 10:51
  7. 41
  8. 5:27
  9. 7
  10. 12:10
  11. 2:46
  12. 143
  13. 48
  14. 23.5
  15. 141.5
  16. 4:45
  17. 270
  18. 1:05
  19. 158
  20. 11.5
  21. 9:20
  22. 10.5
  23. 11:03
  24. 116
  25. 61.5
  26. 58.5
  27. 318
  28. 7:06
  29. 19
  30. 130
  31. 51
  32. 12:04
  33. 162.5
  34. 79.5
  35. 29
  36. 33.5
  37. 167
  38. 3:02
  39. 9:00
  40. 138.5

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