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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 423 · 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 131 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
  3. 3.A clock shows 6:33. What time will it show 26 minutes later? (a) 6:59 (b) 7:59 (c) 7:09 (d) 6:49
  4. 4.How many degrees does the minute hand of a clock turn in 39 minutes? =
  5. 5.A clock shows 11:07. What time will it show 95 minutes later? (a) 12:32 (b) 12:42 (c) 12:52 (d) 1:42
  6. 6.A clock shows 12:21. What time will it show 120 minutes later? (a) 2:21 (b) 2:31 (c) 2:11 (d) 3:21
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 50 minutes? =
  11. 11.A clock shows 8:06. What time will it show 95 minutes later? (a) 10:41 (b) 9:51 (c) 9:31 (d) 9:41
  12. 12.How many degrees does the minute hand of a clock turn in 4 minutes? =
  13. 13.A clock shows 12:20. What time will it show 11 minutes later? (a) 12:31 (b) 1:31 (c) 12:21 (d) 12:41
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  15. 15.A clock shows 12:13. What time will it show 35 minutes later? (a) 12:58 (b) 12:38 (c) 1:48 (d) 12:48
  16. 16.A clock shows 8:17. What time will it show 58 minutes later? (a) 9:15 (b) 10:15 (c) 9:25 (d) 9:05
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 15 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  21. 21.A clock shows 1:31. What time will it show 18 minutes later? (a) 1:39 (b) 2:49 (c) 1:49 (d) 1:59
  22. 22.How many degrees does the minute hand of a clock turn in 48 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  26. 26.A clock shows 7:04. What time will it show 88 minutes later? (a) 9:32 (b) 8:42 (c) 8:22 (d) 8:32
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  28. 28.A clock shows 8:45. What time will it show 16 minutes later? (a) 8:51 (b) 10:01 (c) 9:11 (d) 9:01
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:49? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 40 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 12 minutes? =
  33. 33.A clock shows 6:13. What time will it show 120 minutes later? (a) 9:13 (b) 8:13 (c) 8:03 (d) 8:23
  34. 34.A clock shows 1:33. What time will it show 107 minutes later? (a) 3:30 (b) 4:20 (c) 3:20 (d) 3:10
  35. 35.How many degrees does the minute hand of a clock turn in 30 minutes? =
  36. 36.A clock shows 5:01. What time will it show 165 minutes later? (a) 7:56 (b) 7:46 (c) 7:36 (d) 8:46
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
  38. 38.A clock shows 10:32. What time will it show 72 minutes later? (a) 11:34 (b) 12:44 (c) 11:44 (d) 11:54
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =

Answer key

  1. 65.5
  2. 118.5
  3. 6:59
  4. 234
  5. 12:42
  6. 2:21
  7. 52
  8. 111
  9. 121
  10. 25
  11. 9:41
  12. 24
  13. 12:31
  14. 58
  15. 12:48
  16. 9:15
  17. 10
  18. 63.5
  19. 7.5
  20. 27
  21. 1:49
  22. 288
  23. 153.5
  24. 76
  25. 46.5
  26. 8:32
  27. 72
  28. 9:01
  29. 29.5
  30. 108
  31. 240
  32. 72
  33. 8:13
  34. 3:20
  35. 180
  36. 7:46
  37. 56.5
  38. 11:44
  39. 140.5
  40. 107

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