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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 923 · 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 4:53? (in degrees) =
  2. 2.A clock shows 12:29. What time will it show 45 minutes later? (a) 1:24 (b) 1:14 (c) 1:04 (d) 2:14
  3. 3.A clock shows 10:20. What time will it show 49 minutes later? (a) 12:09 (b) 10:59 (c) 11:09 (d) 11:19
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 5 minutes? =
  10. 10.A clock shows 4:05. What time will it show 144 minutes later? (a) 6:39 (b) 7:29 (c) 6:19 (d) 6:29
  11. 11.A clock shows 3:27. What time will it show 96 minutes later? (a) 6:03 (b) 5:13 (c) 5:03 (d) 4:53
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  14. 14.A clock shows 11:24. What time will it show 63 minutes later? (a) 1:27 (b) 12:37 (c) 12:17 (d) 12:27
  15. 15.A clock shows 3:08. What time will it show 152 minutes later? (a) 5:50 (b) 5:40 (c) 5:30 (d) 6:40
  16. 16.How many degrees does the hour hand of a clock turn in 36 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  18. 18.A clock shows 10:14. What time will it show 28 minutes later? (a) 10:52 (b) 10:32 (c) 11:42 (d) 10:42
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 45 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 15 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  25. 25.A clock shows 2:52. What time will it show 117 minutes later? (a) 4:59 (b) 5:49 (c) 4:39 (d) 4:49
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  28. 28.A clock shows 12:05. What time will it show 164 minutes later? (a) 2:59 (b) 3:49 (c) 2:39 (d) 2:49
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  30. 30.A clock shows 8:30. What time will it show 104 minutes later? (a) 11:14 (b) 10:24 (c) 10:14 (d) 10:04
  31. 31.A clock shows 8:13. What time will it show 131 minutes later? (a) 10:24 (b) 10:14 (c) 11:24 (d) 10:34
  32. 32.A clock shows 3:20. What time will it show 64 minutes later? (a) 5:24 (b) 4:24 (c) 4:34 (d) 4:14
  33. 33.A clock shows 5:46. What time will it show 107 minutes later? (a) 7:23 (b) 7:43 (c) 7:33 (d) 8:33
  34. 34.A clock shows 2:40. What time will it show 132 minutes later? (a) 5:52 (b) 4:52 (c) 4:42 (d) 5:02
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  36. 36.A clock shows 9:15. What time will it show 149 minutes later? (a) 11:34 (b) 11:54 (c) 11:44 (d) 12:44
  37. 37.How many degrees does the minute hand of a clock turn in 34 minutes? =
  38. 38.A clock shows 5:18. What time will it show 67 minutes later? (a) 6:35 (b) 7:25 (c) 6:15 (d) 6:25
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =

Answer key

  1. 171.5
  2. 1:14
  3. 11:09
  4. 23
  5. 110.5
  6. 152.5
  7. 93
  8. 139.5
  9. 30
  10. 6:29
  11. 5:03
  12. 18
  13. 100
  14. 12:27
  15. 5:40
  16. 18
  17. 94.5
  18. 10:42
  19. 28
  20. 270
  21. 100.5
  22. 117.5
  23. 90
  24. 83.5
  25. 4:49
  26. 82
  27. 115
  28. 2:49
  29. 134
  30. 10:14
  31. 10:24
  32. 4:24
  33. 7:33
  34. 4:52
  35. 3
  36. 11:44
  37. 204
  38. 6:25
  39. 53.5
  40. 43.5

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