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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 187 · 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 112 minutes? =
  2. 2.A clock shows 3:47. What time will it show 109 minutes later? (a) 6:36 (b) 5:46 (c) 5:26 (d) 5:36
  3. 3.A clock shows 3:39. What time will it show 54 minutes later? (a) 5:33 (b) 4:33 (c) 4:43 (d) 4:23
  4. 4.A clock shows 2:18. What time will it show 157 minutes later? (a) 5:05 (b) 4:55 (c) 4:45 (d) 5:55
  5. 5.How many degrees does the minute hand of a clock turn in 47 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 35 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 58 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 36 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 12 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 40 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 36 minutes? =
  19. 19.A clock shows 5:24. What time will it show 107 minutes later? (a) 8:11 (b) 7:21 (c) 7:11 (d) 7:01
  20. 20.How many degrees does the hour hand of a clock turn in 62 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 3 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 51 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
  24. 24.A clock shows 11:54. What time will it show 11 minutes later? (a) 12:15 (b) 1:05 (c) 12:05 (d) 11:55
  25. 25.A clock shows 1:57. What time will it show 159 minutes later? (a) 4:26 (b) 5:36 (c) 4:36 (d) 4:46
  26. 26.A clock shows 10:33. What time will it show 52 minutes later? (a) 11:15 (b) 11:25 (c) 12:25 (d) 11:35
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  30. 30.A clock shows 2:02. What time will it show 64 minutes later? (a) 3:16 (b) 4:06 (c) 3:06 (d) 2:56
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  32. 32.A clock shows 3:16. What time will it show 45 minutes later? (a) 4:11 (b) 4:01 (c) 3:51 (d) 5:01
  33. 33.A clock shows 6:39. What time will it show 10 minutes later? (a) 7:49 (b) 6:39 (c) 6:59 (d) 6:49
  34. 34.A clock shows 8:57. What time will it show 39 minutes later? (a) 9:36 (b) 9:26 (c) 10:36 (d) 9:46
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  36. 36.A clock shows 4:56. What time will it show 44 minutes later? (a) 5:40 (b) 6:40 (c) 5:50 (d) 5:30
  37. 37.A clock shows 4:41. What time will it show 155 minutes later? (a) 7:06 (b) 8:16 (c) 7:16 (d) 7:26
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:22? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 5 minutes? =

Answer key

  1. 56
  2. 5:36
  3. 4:33
  4. 4:55
  5. 282
  6. 210
  7. 168
  8. 38
  9. 78
  10. 29
  11. 18
  12. 65
  13. 67
  14. 34
  15. 72
  16. 30
  17. 240
  18. 216
  19. 7:11
  20. 31
  21. 18
  22. 306
  23. 117.5
  24. 12:05
  25. 4:36
  26. 11:25
  27. 35
  28. 170.5
  29. 3.5
  30. 3:06
  31. 41
  32. 4:01
  33. 6:49
  34. 9:36
  35. 29.5
  36. 5:40
  37. 7:16
  38. 149
  39. 105.5
  40. 30

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