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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 160 · 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 2:42? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  3. 3.A clock shows 3:21. What time will it show 39 minutes later? (a) 4:00 (b) 3:50 (c) 5:00 (d) 4:10
  4. 4.A clock shows 4:47. What time will it show 148 minutes later? (a) 8:15 (b) 7:15 (c) 7:05 (d) 7:25
  5. 5.How many degrees does the hour hand of a clock turn in 88 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 92 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
  8. 8.A clock shows 6:13. What time will it show 170 minutes later? (a) 10:03 (b) 9:13 (c) 9:03 (d) 8:53
  9. 9.How many degrees does the minute hand of a clock turn in 7 minutes? =
  10. 10.A clock shows 1:15. What time will it show 54 minutes later? (a) 2:09 (b) 2:19 (c) 1:59 (d) 3:09
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 27 minutes? =
  14. 14.A clock shows 11:22. What time will it show 67 minutes later? (a) 12:19 (b) 12:39 (c) 1:29 (d) 12:29
  15. 15.A clock shows 12:03. What time will it show 10 minutes later? (a) 12:13 (b) 12:23 (c) 12:03 (d) 1:13
  16. 16.A clock shows 3:02. What time will it show 55 minutes later? (a) 3:47 (b) 4:57 (c) 3:57 (d) 4:07
  17. 17.How many degrees does the minute hand of a clock turn in 41 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 58 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 161 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
  23. 23.A clock shows 3:09. What time will it show 150 minutes later? (a) 5:29 (b) 5:49 (c) 5:39 (d) 6:39
  24. 24.A clock shows 10:38. What time will it show 159 minutes later? (a) 1:07 (b) 1:27 (c) 2:17 (d) 1:17
  25. 25.A clock shows 12:06. What time will it show 150 minutes later? (a) 2:46 (b) 2:36 (c) 2:26 (d) 3:36
  26. 26.A clock shows 7:50. What time will it show 89 minutes later? (a) 9:19 (b) 9:29 (c) 9:09 (d) 10:19
  27. 27.How many degrees does the minute hand of a clock turn in 14 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 58 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  31. 31.A clock shows 7:14. What time will it show 149 minutes later? (a) 9:43 (b) 9:33 (c) 10:43 (d) 9:53
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
  33. 33.A clock shows 12:48. What time will it show 50 minutes later? (a) 1:38 (b) 1:48 (c) 2:38 (d) 1:28
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  37. 37.A clock shows 5:14. What time will it show 32 minutes later? (a) 5:56 (b) 5:46 (c) 5:36 (d) 6:46
  38. 38.A clock shows 8:37. What time will it show 40 minutes later? (a) 10:17 (b) 9:17 (c) 9:07 (d) 9:27
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 84 minutes? =

Answer key

  1. 171
  2. 65.5
  3. 4:00
  4. 7:15
  5. 44
  6. 46
  7. 53.5
  8. 9:03
  9. 42
  10. 2:09
  11. 23
  12. 52
  13. 162
  14. 12:29
  15. 12:13
  16. 3:57
  17. 246
  18. 29
  19. 18.5
  20. 144.5
  21. 80.5
  22. 75.5
  23. 5:39
  24. 1:17
  25. 2:36
  26. 9:19
  27. 84
  28. 45.5
  29. 348
  30. 53
  31. 9:43
  32. 146.5
  33. 1:38
  34. 66.5
  35. 160
  36. 78
  37. 5:46
  38. 9:17
  39. 3.5
  40. 42

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