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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 21 · 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 3 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 53 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:29? (in degrees) =
  4. 4.A clock shows 4:23. What time will it show 156 minutes later? (a) 6:49 (b) 6:59 (c) 7:09 (d) 7:59
  5. 5.How many degrees does the minute hand of a clock turn in 12 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
  8. 8.A clock shows 7:08. What time will it show 92 minutes later? (a) 9:40 (b) 8:50 (c) 8:40 (d) 8:30
  9. 9.A clock shows 11:32. What time will it show 54 minutes later? (a) 12:16 (b) 12:26 (c) 12:36 (d) 1:26
  10. 10.A clock shows 11:16. What time will it show 105 minutes later? (a) 12:51 (b) 1:11 (c) 2:01 (d) 1:01
  11. 11.How many degrees does the minute hand of a clock turn in 24 minutes? =
  12. 12.A clock shows 6:20. What time will it show 16 minutes later? (a) 6:36 (b) 6:26 (c) 7:36 (d) 6:46
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 83 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 96 minutes? =
  22. 22.A clock shows 1:14. What time will it show 12 minutes later? (a) 2:26 (b) 1:26 (c) 1:16 (d) 1:36
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  25. 25.A clock shows 12:49. What time will it show 142 minutes later? (a) 4:11 (b) 3:11 (c) 3:01 (d) 3:21
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  27. 27.A clock shows 3:18. What time will it show 73 minutes later? (a) 5:31 (b) 4:21 (c) 4:41 (d) 4:31
  28. 28.How many degrees does the hour hand of a clock turn in 51 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 166 minutes? =
  31. 31.A clock shows 8:24. What time will it show 155 minutes later? (a) 11:09 (b) 10:49 (c) 10:59 (d) 11:59
  32. 32.A clock shows 9:29. What time will it show 64 minutes later? (a) 10:33 (b) 11:33 (c) 10:43 (d) 10:23
  33. 33.A clock shows 11:14. What time will it show 112 minutes later? (a) 2:06 (b) 1:16 (c) 1:06 (d) 12:56
  34. 34.How many degrees does the hour hand of a clock turn in 117 minutes? =
  35. 35.A clock shows 8:19. What time will it show 92 minutes later? (a) 10:51 (b) 10:01 (c) 9:51 (d) 9:41
  36. 36.A clock shows 3:06. What time will it show 156 minutes later? (a) 6:42 (b) 5:32 (c) 5:42 (d) 5:52
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:00? (in degrees) =
  38. 38.A clock shows 12:21. What time will it show 86 minutes later? (a) 1:37 (b) 1:47 (c) 2:47 (d) 1:57
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:56? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:04? (in degrees) =

Answer key

  1. 18
  2. 318
  3. 159.5
  4. 6:59
  5. 72
  6. 19.5
  7. 1.5
  8. 8:40
  9. 12:26
  10. 1:01
  11. 144
  12. 6:36
  13. 83
  14. 41.5
  15. 16
  16. 64.5
  17. 14.5
  18. 46
  19. 131
  20. 92.5
  21. 48
  22. 1:26
  23. 175
  24. 17.5
  25. 3:11
  26. 120.5
  27. 4:31
  28. 25.5
  29. 163
  30. 83
  31. 10:59
  32. 10:33
  33. 1:06
  34. 58.5
  35. 9:51
  36. 5:42
  37. 0
  38. 1:47
  39. 158
  40. 112

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