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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 649 · 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 2:48? (in degrees) =
  2. 2.A clock shows 1:04. What time will it show 119 minutes later? (a) 3:13 (b) 3:03 (c) 2:53 (d) 4:03
  3. 3.A clock shows 1:45. What time will it show 95 minutes later? (a) 4:20 (b) 3:10 (c) 3:30 (d) 3:20
  4. 4.How many degrees does the minute hand of a clock turn in 27 minutes? =
  5. 5.A clock shows 1:08. What time will it show 36 minutes later? (a) 1:54 (b) 1:34 (c) 1:44 (d) 2:44
  6. 6.A clock shows 1:56. What time will it show 92 minutes later? (a) 4:28 (b) 3:18 (c) 3:28 (d) 3:38
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  9. 9.A clock shows 2:40. What time will it show 45 minutes later? (a) 3:15 (b) 4:25 (c) 3:35 (d) 3:25
  10. 10.A clock shows 4:05. What time will it show 19 minutes later? (a) 5:24 (b) 4:24 (c) 4:34 (d) 4:14
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 37 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 67 minutes? =
  16. 16.A clock shows 4:07. What time will it show 63 minutes later? (a) 5:10 (b) 5:20 (c) 6:10 (d) 5:00
  17. 17.How many degrees does the hour hand of a clock turn in 28 minutes? =
  18. 18.A clock shows 1:01. What time will it show 93 minutes later? (a) 2:24 (b) 2:44 (c) 3:34 (d) 2:34
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 7 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 25 minutes? =
  23. 23.A clock shows 12:45. What time will it show 48 minutes later? (a) 1:23 (b) 2:33 (c) 1:43 (d) 1:33
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  25. 25.A clock shows 11:47. What time will it show 140 minutes later? (a) 2:07 (b) 1:57 (c) 3:07 (d) 2:17
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 93 minutes? =
  29. 29.A clock shows 5:34. What time will it show 20 minutes later? (a) 5:44 (b) 5:54 (c) 6:04 (d) 6:54
  30. 30.How many degrees does the hour hand of a clock turn in 105 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  33. 33.A clock shows 2:12. What time will it show 18 minutes later? (a) 2:30 (b) 3:30 (c) 2:20 (d) 2:40
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 121 minutes? =
  38. 38.A clock shows 3:04. What time will it show 87 minutes later? (a) 4:31 (b) 4:41 (c) 4:21 (d) 5:31
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:26? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 63 minutes? =

Answer key

  1. 156
  2. 3:03
  3. 3:20
  4. 162
  5. 1:44
  6. 3:28
  7. 90.5
  8. 130
  9. 3:25
  10. 4:24
  11. 151.5
  12. 126
  13. 18.5
  14. 76.5
  15. 33.5
  16. 5:10
  17. 14
  18. 2:34
  19. 26.5
  20. 42
  21. 112
  22. 12.5
  23. 1:33
  24. 150
  25. 2:07
  26. 68
  27. 154
  28. 46.5
  29. 5:54
  30. 52.5
  31. 173.5
  32. 28.5
  33. 2:30
  34. 45
  35. 149.5
  36. 74.5
  37. 60.5
  38. 4:31
  39. 143
  40. 31.5

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