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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 447 · 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 143 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  3. 3.A clock shows 7:38. What time will it show 97 minutes later? (a) 9:25 (b) 9:05 (c) 10:15 (d) 9:15
  4. 4.A clock shows 2:39. What time will it show 161 minutes later? (a) 6:20 (b) 5:30 (c) 5:10 (d) 5:20
  5. 5.A clock shows 12:54. What time will it show 34 minutes later? (a) 1:38 (b) 2:28 (c) 1:28 (d) 1:18
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  8. 8.A clock shows 7:35. What time will it show 52 minutes later? (a) 8:17 (b) 8:37 (c) 9:27 (d) 8:27
  9. 9.A clock shows 4:10. What time will it show 164 minutes later? (a) 7:04 (b) 6:54 (c) 6:44 (d) 7:54
  10. 10.How many degrees does the minute hand of a clock turn in 39 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 40 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 33 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 97 minutes? =
  14. 14.A clock shows 2:13. What time will it show 58 minutes later? (a) 4:11 (b) 3:21 (c) 3:11 (d) 3:01
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:26? (in degrees) =
  16. 16.A clock shows 1:21. What time will it show 75 minutes later? (a) 2:46 (b) 3:36 (c) 2:36 (d) 2:26
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 37 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  20. 20.A clock shows 9:16. What time will it show 50 minutes later? (a) 11:06 (b) 10:06 (c) 10:16 (d) 9:56
  21. 21.How many degrees does the minute hand of a clock turn in 32 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 51 minutes? =
  23. 23.A clock shows 3:48. What time will it show 27 minutes later? (a) 4:15 (b) 5:15 (c) 4:25 (d) 4:05
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
  25. 25.A clock shows 1:39. What time will it show 34 minutes later? (a) 2:03 (b) 2:23 (c) 2:13 (d) 3:13
  26. 26.A clock shows 8:02. What time will it show 78 minutes later? (a) 9:20 (b) 10:20 (c) 9:30 (d) 9:10
  27. 27.How many degrees does the minute hand of a clock turn in 36 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  29. 29.A clock shows 5:10. What time will it show 69 minutes later? (a) 7:19 (b) 6:29 (c) 6:09 (d) 6:19
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  32. 32.A clock shows 2:03. What time will it show 89 minutes later? (a) 4:32 (b) 3:42 (c) 3:22 (d) 3:32
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 93 minutes? =
  35. 35.A clock shows 12:52. What time will it show 143 minutes later? (a) 3:25 (b) 3:15 (c) 4:15 (d) 3:05
  36. 36.How many degrees does the hour hand of a clock turn in 145 minutes? =
  37. 37.A clock shows 9:38. What time will it show 30 minutes later? (a) 11:08 (b) 10:08 (c) 10:18 (d) 9:58
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  40. 40.A clock shows 6:33. What time will it show 26 minutes later? (a) 7:59 (b) 7:09 (c) 6:59 (d) 6:49

Answer key

  1. 71.5
  2. 24
  3. 9:15
  4. 5:20
  5. 1:28
  6. 17
  7. 30.5
  8. 8:27
  9. 6:54
  10. 234
  11. 240
  12. 16.5
  13. 48.5
  14. 3:11
  15. 143
  16. 2:36
  17. 35.5
  18. 18.5
  19. 153.5
  20. 10:06
  21. 192
  22. 306
  23. 4:15
  24. 102
  25. 2:13
  26. 9:20
  27. 216
  28. 72.5
  29. 6:19
  30. 49.5
  31. 52.5
  32. 3:32
  33. 143.5
  34. 46.5
  35. 3:15
  36. 72.5
  37. 10:08
  38. 52.5
  39. 31
  40. 6:59

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