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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 206 · 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 4:15? (in degrees) =
  2. 2.A clock shows 8:04. What time will it show 127 minutes later? (a) 10:01 (b) 11:11 (c) 10:21 (d) 10:11
  3. 3.A clock shows 10:21. What time will it show 103 minutes later? (a) 12:04 (b) 12:14 (c) 1:04 (d) 11:54
  4. 4.A clock shows 10:19. What time will it show 46 minutes later? (a) 12:05 (b) 11:15 (c) 10:55 (d) 11:05
  5. 5.How many degrees does the minute hand of a clock turn in 8 minutes? =
  6. 6.A clock shows 12:27. What time will it show 123 minutes later? (a) 2:20 (b) 3:30 (c) 2:30 (d) 2:40
  7. 7.A clock shows 8:15. What time will it show 149 minutes later? (a) 10:54 (b) 11:44 (c) 10:44 (d) 10:34
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 16 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 3 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  15. 15.A clock shows 3:49. What time will it show 19 minutes later? (a) 4:08 (b) 5:08 (c) 3:58 (d) 4:18
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 52 minutes? =
  19. 19.A clock shows 3:15. What time will it show 111 minutes later? (a) 4:56 (b) 5:06 (c) 5:16 (d) 6:06
  20. 20.A clock shows 6:32. What time will it show 170 minutes later? (a) 10:22 (b) 9:12 (c) 9:22 (d) 9:32
  21. 21.How many degrees does the minute hand of a clock turn in 59 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 30 minutes? =
  23. 23.A clock shows 11:40. What time will it show 35 minutes later? (a) 12:05 (b) 1:15 (c) 12:15 (d) 12:25
  24. 24.A clock shows 2:05. What time will it show 143 minutes later? (a) 4:18 (b) 5:28 (c) 4:28 (d) 4:38
  25. 25.How many degrees does the minute hand of a clock turn in 37 minutes? =
  26. 26.A clock shows 4:42. What time will it show 29 minutes later? (a) 5:21 (b) 5:01 (c) 6:11 (d) 5:11
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  28. 28.A clock shows 8:19. What time will it show 24 minutes later? (a) 8:33 (b) 9:43 (c) 8:53 (d) 8:43
  29. 29.A clock shows 3:25. What time will it show 88 minutes later? (a) 5:03 (b) 4:43 (c) 5:53 (d) 4:53
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
  31. 31.A clock shows 3:40. What time will it show 85 minutes later? (a) 5:05 (b) 4:55 (c) 5:15 (d) 6:05
  32. 32.A clock shows 8:24. What time will it show 160 minutes later? (a) 11:14 (b) 12:04 (c) 10:54 (d) 11:04
  33. 33.How many degrees does the hour hand of a clock turn in 123 minutes? =
  34. 34.A clock shows 11:44. What time will it show 47 minutes later? (a) 12:41 (b) 1:31 (c) 12:21 (d) 12:31
  35. 35.How many degrees does the hour hand of a clock turn in 84 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 98 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  39. 39.A clock shows 9:12. What time will it show 136 minutes later? (a) 11:38 (b) 12:28 (c) 11:28 (d) 11:18
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =

Answer key

  1. 37.5
  2. 10:11
  3. 12:04
  4. 11:05
  5. 48
  6. 2:30
  7. 10:44
  8. 104
  9. 30.5
  10. 8
  11. 161
  12. 18
  13. 121.5
  14. 162
  15. 4:08
  16. 28
  17. 50.5
  18. 312
  19. 5:06
  20. 9:22
  21. 354
  22. 180
  23. 12:15
  24. 4:28
  25. 222
  26. 5:11
  27. 51.5
  28. 8:43
  29. 4:53
  30. 40.5
  31. 5:05
  32. 11:04
  33. 61.5
  34. 12:31
  35. 42
  36. 49
  37. 53
  38. 154.5
  39. 11:28
  40. 106.5

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