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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 98 · 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.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  3. 3.A clock shows 4:55. What time will it show 101 minutes later? (a) 7:36 (b) 6:36 (c) 6:46 (d) 6:26
  4. 4.A clock shows 12:19. What time will it show 33 minutes later? (a) 1:52 (b) 12:42 (c) 12:52 (d) 1:02
  5. 5.How many degrees does the hour hand of a clock turn in 35 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 19 minutes? =
  8. 8.A clock shows 10:19. What time will it show 144 minutes later? (a) 12:33 (b) 1:43 (c) 12:43 (d) 12:53
  9. 9.A clock shows 3:52. What time will it show 41 minutes later? (a) 4:23 (b) 4:43 (c) 5:33 (d) 4:33
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 179 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 53 minutes? =
  13. 13.A clock shows 10:13. What time will it show 77 minutes later? (a) 11:30 (b) 11:40 (c) 11:20 (d) 12:30
  14. 14.How many degrees does the minute hand of a clock turn in 54 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
  18. 18.A clock shows 5:39. What time will it show 60 minutes later? (a) 7:39 (b) 6:49 (c) 6:39 (d) 6:29
  19. 19.How many degrees does the hour hand of a clock turn in 13 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 39 minutes? =
  23. 23.A clock shows 1:01. What time will it show 60 minutes later? (a) 2:11 (b) 2:01 (c) 1:51 (d) 3:01
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  26. 26.A clock shows 1:26. What time will it show 64 minutes later? (a) 3:30 (b) 2:40 (c) 2:20 (d) 2:30
  27. 27.A clock shows 2:22. What time will it show 49 minutes later? (a) 3:21 (b) 3:11 (c) 4:11 (d) 3:01
  28. 28.How many degrees does the minute hand of a clock turn in 30 minutes? =
  29. 29.A clock shows 4:01. What time will it show 16 minutes later? (a) 4:17 (b) 5:17 (c) 4:27 (d) 4:07
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:53? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 45 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
  34. 34.A clock shows 3:46. What time will it show 150 minutes later? (a) 6:16 (b) 6:26 (c) 7:16 (d) 6:06
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  38. 38.A clock shows 12:15. What time will it show 32 minutes later? (a) 12:47 (b) 12:57 (c) 12:37 (d) 1:47
  39. 39.How many degrees does the hour hand of a clock turn in 40 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:36? (in degrees) =

Answer key

  1. 47
  2. 69.5
  3. 6:36
  4. 12:52
  5. 17.5
  6. 164.5
  7. 114
  8. 12:43
  9. 4:33
  10. 147.5
  11. 89.5
  12. 318
  13. 11:30
  14. 324
  15. 33
  16. 103
  17. 31
  18. 6:39
  19. 6.5
  20. 97
  21. 78
  22. 19.5
  23. 2:01
  24. 105
  25. 158.5
  26. 2:30
  27. 3:11
  28. 180
  29. 4:17
  30. 68.5
  31. 270
  32. 18.5
  33. 130
  34. 6:16
  35. 154.5
  36. 87
  37. 105.5
  38. 12:47
  39. 20
  40. 42

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